STC (Sullivision Television Company), who specializes in do-it-yourself Coreygami and Baton twirling programs, has just hired you. Your first task is to find out how many satellites the company will need. You know that Earth's diameter is approximately 8000 miles and the satellite will move in an orbit about 600 miles above the surface. The satellite will hover directly above a fixed point on the Earth. Draw CB and CD.
3. Find the measure of AC: __________
4. Find the measure of AB: __________.
5. Find m∡BCA and m∡DCA _____________.
6. Find m∡BCD _____________. 7. Find the arc length of arc BD. _________.
8. How many satellites would you recommend Sullivision use so that the entire circumference of the Earth is covered? Show how your got your answer.

Answers

Answer 1

3. AC = BC + ABAC = 8000 + 600AC = 8600 miles

4. AB = 2 * BCAB = 2 * 8000AB = 16000 miles

5. m∡BCA and m∡DCA are right angles as they are the angles formed by the tangent and the radius to a circle at the point of contact.

So, m∡BCA = 90° and m∡DCA = 90°.

6. m∡BCD is equal to the central angle subtended by the minor arc BD.

By drawing perpendicular from centre O to chord BD at point P we can see that a triangle ODP is formed. OD = 4000 miles, DP = 300 miles and OP is the radius of the Earth.

OP = sqrt[OD² + DP²]OP = sqrt[4000² + 300²]OP = sqrt[16090000]OP = 4011.2 miles

Since the satellite is 600 miles above the surface of Earth, its distance from the centre of Earth is 4611.2 miles.

Therefore, angle BCD is equal to 2θ such that sin θ = 300/4611.2sin θ = 0.064sin⁻¹(0.064) = θθ = 3.69°m∡BCD = 2θm∡BCD = 2(3.69)m∡BCD = 7.38°\

7. The arc length of arc BD is equal to twice the length of minor arc BC added to the length of major arc CD. Length of minor arc BC is equal to the length of major arc DC which is 1/6 of the circumference of the Earth.

Therefore, the length of minor arc BC = 1/6 * 2π * 4000 = 4188.79 miles

The length of major arc CD = 5/6 * 2π * 4000 = 20943.95 miles

Length of arc BD = 2 * 4188.79 + 20943.95Length of arc BD = 30121.53 miles

8. The distance between two satellites = circumference of the Earth / number of satellites requiredWe know that the circumference of the Earth = 2πr = 2π * 4000 = 25132.74 miles

For the entire circumference of the Earth to be covered, the distance between two satellites should be equal to the circumference of the Earth. Therefore, the number of satellites required = 25132.74/600 ≈ 42

Thus, Sullivision Television Company should use 42 satellites to ensure that the entire circumference of the Earth is covered.

Visit here to learn more about radius brainly.com/question/13449316

#SPJ11


Related Questions

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

2/11

Step-by-step explanation:

Let's say x = 0.18181818..

Then, 100x = 18.1818181....

so, if you put x in the repeating decimal in 18.1818,

you get the equation,

100x = 18+x

so, 99x = 18

x = 18/99 = 2/11

Answer:

18/100 = 9/50

Answer is 9/50

Do you really think you’re going to give me brainliest lol

In physics, we can find the amount of force needed to push or pull an object by multiplying the object’s mass by the object’s acceleration. The units of force are called Newtons.

force = mass × acceleration

F = ma

Find the amount of force it takes to push Jeff’s race car if the mass of the race car is 750 kg and the acceleration is 2.5 StartFraction m Over s squared EndFraction
The amount of force needed to push Jeff’s race car is
Newtons.

ALSO I DONT KNOW IF THIS IS MATH OR SCIENCE SO IMA PUT IT AS MATH

Answers

Answer:

1875

Step-by-step explanation:

750 x 2.5 = 1,875

Define a relation Ron R by for a,beR (a,b) e Rif and only if a-bez Which of the following properties does have? Reflexive Symmetric Antisymmetric Transitive

Answers

In summary:

The relation R is reflexive. The relation R is not symmetric. The relation R is antisymmetric. The relation R is transitive.

 

Let's analyze the properties of the relation R:

Reflexive:

A relation R is reflexive if every element in the set is related to itself. In this case, we need to check if (a, a) belongs to R for every a in the set.

For the given relation R: (a, b) belongs to R if and only if a - b = 0.

Since a - a = 0, (a, a) satisfies the condition and is in R for every a in the set. Therefore, the relation R is reflexive.

Symmetric:

A relation R is symmetric if for every (a, b) belongs to R, (b, a) must also be in R.

For the given relation R: (a, b) belongs to R if and only if a - b = 0.

However, if a - b = 0, it does not imply that b - a = 0. Therefore, the relation R is not symmetric.

Antisymmetric:

A relation R is antisymmetric if for every distinct (a, b) belongs to R, (b, a) cannot be in R.

For the given relation R: (a, b) belongs to R if and only if a - b = 0.

Since a - b = 0 implies b - a = 0, it means that if (a, b) and (b, a) are in R, then a must be equal to b. Thus, for distinct elements a and b, it is not possible for both (a, b) and (b, a) to be in R. Therefore, the relation R is antisymmetric.

Transitive:

A relation R is transitive if for every (a, b) and (b, c) belongs to R, (a, c) must also be in R.

For the given relation R: (a, b) belongs to R if and only if a - b = 0.

If a - b = 0 and b - c = 0, it implies that a - c = 0. Therefore, if (a, b) and (b, c) are in R, then (a, c) is also in R. Thus, the relation R is transitive.

In summary:

The relation R is reflexive.

The relation R is not symmetric.

The relation R is antisymmetric.

The relation R is transitive.

To know more about relation properties:

https://brainly.com/question/32600807

#SPJ4

complete the square to rewrite the following equation in standard form

Answers

By completing the square, the equation in standard form is (x - 2)² + (y + 4)² = 4².

What is the equation of a circle?

In Mathematics and Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

h and k represent the coordinates at the center of a circle.r represent the radius of a circle.

From the information provided below, we have the following equation of a circle:

x² - 4x + y² + 8y = -4

x² - 4x + (-4/2)² + y² + 8y + (8/2)² = -4 + (-4/2)² + (8/2)²

x² - 4x + 4 + y² + 8y + 16 = -4 + 4 + 16

(x - 2)² + (y + 4)² = 16

(x - 2)² + (y + 4)² = 4²

Therefore, the center (h, k) is (2, -4) and the radius is equal to 4 units.

Read more on equation of a circle here: brainly.com/question/15626679

#SPJ4

Complete Question:

Complete the square to rewrite the following equation in standard form. x² - 4x + y² + 8y = -4.

Ok So could you please tell me where I went wrong?​

Answers

Answer:

lateral surface area =perimeter of base×height=

={4+7+7+11)×6=174 km²

Step-by-step explanation:

Joseph orders some pizza for himself and his friends. The cost of each pizza is £12.50, and the delivery charge is £1.50. If Joseph orders 11 pizzas, how much does Joseph pay in total?

Answers

Answer:

£139

Step-by-step explanation:

£12.50 * 11 = 137.50

137.50 + 1.50 = £139

Answer:

137.5 + 1.50 = £139

Step-by-step explanation:

Please Give brainliest

please help quickly!

Answers

Answer:

answer I have no clue sorry dude

Can someone help me solve these equations?
1. 2y^2+5Y+2 |
2. 5x^2-18x+9 |
3. 16b^2+60b-100 | 4.-6a^2-25a-25 |
5. 49x^2-14x+1 |
6. 81x^2-49

Answers

I will try my best to help. If these are quadratic equations, you would use the quadratic formula to solve the equations.
1.) y = -2, y = -1/2
2.) x = 6/10, x = 3
3.) b = 5/4, b = -5
4.) a = -5/3, a = -5/2
5.) x = 1/7
6.) x = 1/7, x =-1/7
If this does not help, comment what we need to solve (factor the equation, etc.)

Which of the following is false? (No (i) |ez| = |e³|, Vz #0

Answers

The false statement among the following statements is: |ez| = |e³|. Here, e is the Euler number, and z is a complex number. Therefore, the correct answer is option (i) |ez| = |e³|.

We know that e^(ix) = cos(x) + i sin(x)

It is also known as Euler's formula, where e is the Euler number, i is the imaginary unit, x is the angle in radians. This formula connects the trigonometric functions with the exponential function. In this question, e is the Euler number, and z is a complex number. So, ez = |ez| × e^(iθ), where θ is the angle of the complex number z from the positive real axis. In the same way, e³ = |e³| × e^(i3θ)Here, the modulus of ez is |ez|, and the modulus of e³ is |e³|. It is not necessary that both will be equal because the value of θ may differ. Hence, the false statement is |ez| = |e³|.

More on Euler number: https://brainly.com/question/30639766

#SPJ11

A right cylinder has a radius of 5 and a height of 9. What is its surface area? A. 457 units2 B. 1407 units2 C. 907 units? D. 700 units2​

Answers

Answer: B

The surface area of the right cylinder is 140π cubic units or 439.60 cubic units.

Step-by-step explanation:

We have formula to find the surface area of a right cylinder.

Surface area = 2πr(h + r)

Given: r = 5 and h = 9,

Now plug in the value of r and h in the above formula, we get

Surface area = 2π.5 (9 + 5)

= 10π(14)

Surface area = 140π

The value of π = 3.14, when we plug in the value of π, we get

The surface area = 140 × 3.14

= 439.60 cubic units.

Therefore, the surface area of the right cylinder is 140π cubic units or 439.60 cubic units.

Hope this helped!!!

A reporter surveyed 300 randomly selected people of all ages about their opinion of a new song. The results are shown in the table. Which of the following is a valid conclusion about data? select all that apply.

Answers

Answer:

the answers is A and E  <3

Step-by-step explanation:

i took this test

Which of the following sets of vectors in R3 are linearly de- pendent? (a) (4, -1,2). (-4, 10, 2) (b) (-3.0.4). (5. -1,2), (1,1.3) (c) (8,-1,3), (4,0,1) (d) (-2, 0, 1), (3, 2, 5), (6.-1.1), (7,0, -2) 11 ofrector in p4 are linear de

Answers

The set of vectors (b) (-3,0,4), (5,-1,2), (1,1,3) are linearly dependent. The other given sets of vectors in R3 are linearly independent.

Let's review the given sets of vectors in R₃ to determine which ones are linearly dependent.

(a) (4.-1,2), (-4, 10, 2).

To check if the given set is linearly dependent or not, we need to check whether there are non-zero scalars such that their linear combination is equal to

0.a(4,-1,2) + b(-4,10,2) = (0,0,0).

The system of equations can be written as;

4a - 4b = 0-1a + 10b = 00a + 2b = 0.

Clearly, a = b = 0 is the only solution.

So, the set is linearly independent.

(b) (-3,0,4), (5,-1,2), (1, 1,3)

To check if the given set is linearly dependent or not, we need to check whether there are non-zero scalars such that their linear combination is equal to

0.a(-3,0,4) + b(5,-1,2) + c(1,1,3) = (0,0,0).

The system of equations can be written as;

-3a + 5b + c = 00a - b + c = 00a + 2b + 3c = 0

Clearly, a = 2, b = 1, and c = -2 is a solution.

So, the set is linearly dependent.

(c) (8.-1.3). (4,0,1).

To check if the given set is linearly dependent or not, we need to check whether there are non-zero scalars such that their linear combination is equal to

0.a(8,-1,3) + b(4,0,1) = (0,0,0).

The system of equations can be written as;

8a + 4b = 01a + 0b = 0-3a + b = 0.

Clearly, a = b = 0 is the only solution.

So, the set is linearly independent.

(d) (-2.0, 1), (3, 2, 5), (6,-1, 1), (7,0.-2).

To check if the given set is linearly dependent or not, we need to check whether there are non-zero scalars such that their linear combination is equal to

0.a(-2,0,1) + b(3,2,5) + c(6,-1,1) + d(7,0,-2) = (0,0,0)

The system of equations can be written as;

-2a + 3b + 6c + 7d = 00a + 2b - c = 00a + 5b + c - 2d = 0

Clearly, a = b = c = d = 0 is the only solution.

So, the set is linearly independent.

Therefore, The set of vectors (b) (-3,0,4), (5,-1,2), (1,1,3) are linearly dependent. The other given sets of vectors in R₃ are linearly independent.

Learn more about vectors here

brainly.com/question/31328368

#SPJ4

the ratio of the angle measures in a triangle is 2:3:10 . what is the measure of each angle?

Answers

The measure of each angle in the triangle is 24 degrees, 36 degrees, and 120 degrees.

Let's denote the three angles of the triangle as A, B, and C. According to the given ratio of 2:3:10, we can assign the values 2x, 3x, and 10x to angles A, B, and C, respectively, where x is a common factor.

The sum of the angle measures in a triangle is always 180 degrees. Therefore, we can set up the following equation:

2x + 3x + 10x = 180

Simplifying the equation, we get:

15x = 180

Dividing both sides by 15, we find:

x = 12

Now we can substitute x back into the expressions for each angle:

Angle A = 2x = 2(12) = 24 degrees

Angle B = 3x = 3(12) = 36 degrees

Angle C = 10x = 10(12) = 120 degrees

Therefore, the measure of each angle in the triangle is 24 degrees, 36 degrees, and 120 degrees.

Know more about Triangle here:

https://brainly.com/question/2773823

#SPJ11

what is the value of A and B (5x + b)(5x - b) = ax^2 - 49

Answers

Answer:

a=25

b=7

Step-by-step explanation:

A rectangle has a width of 3 cam and a length of 9cm. the rectangle is to be enlarged by a scale factor of 8 what is the length of the enlargement. (include units)

Answers

Answer:

72 cm

Step-by-step explanation:

It would be multiplied by 8 so the length would become 72 cm

HELPL ME QUICK I STUCK

Answers

Answer:

red = 28 apples

green = 13 apples

equations:

r + g = 41

r = g + 15

Step-by-step explanation:

r = number of red

g = number of green

r = g + 15 (the number of red apples is 15 more than the number of green apples)

r + g = 41

Substitute the first equation into the second and solve for a numerical value of g

(g + 15) + g = 41

2g + 15 = 41

2g = 26

g = 13

Now solve for a numerical value of r

r = g + 15

r = 13 + 15

r = 28

checking the math:

r + g = 41

28 + 13 = 41

Please lmk if you have any questions.

PROVING THEOREMS OF SQUAD can someone help me pleasee ASAP​

Answers

Answer:

40 units

Step-by-step explanation:

For a square, all the sides are equal and the interior angles are equal and all equal to 90. Hence;

m<BOJ = 90 degrees

m<BOJ = 4x - 6

Equating both to get x;

4x - 6 = 90

4x = 90+6

4x = 96

x = 96/4

x = 24

Since all the sides are equal, hence BO = JO = 2x-8

JO = 2x - 8

Substitute x = 24 into JO

JO = 2(24) - 8

JO = 48 - 8

JO = 40

Hence the measure of JO is 40 units

Find the factor form for each problem. (Show work)

1. 12x²+8x

2. 2x²-16x

Answers

Step-by-step explanation:

12x^2 + 8x

4x ( 3x + 2)

2x^2 - 16x

2x ( x - 8)

ANSWER ISN'T DECIMALS ANSWER ASAP!

Answers

Answer:

972 cubic feet

Step-by-step explanation:

12 by 9 by 7.5

+

1.5 by 9  by 12

Answer:

891 ft³

Step-by-step explanation:

First I'll find the volume of the rectangular prism. (l * w * h)

12 * 9 * 7.5

Multiply 12 by 9 to get 108.

108 * 7.5

Now, multiply 108 by 7.5 to get 810. (756 + 54 = 810)

810

Now for the triangular prism. (1/2(l * w * h))

1/2(12 * 9 * 1.5) (I figured the height was 1.5 since the height of the rectangular prism was 7.5; the entire figure's height was 9)

Multiply 12 by 9 to get 108.

1/2(108 * 1.5)

Multiply 108 by 1.5 to get 162. (108 + 54 = 162)

1/2(162)

Multiply 162 by 1/2 to get 81. (162/2)

81

Now add that to 810 to get 891.

810 + 81

891 ft³

The volume of the garage is 891 ft³.

Can someone help me with this. Will Mark brainliest. Need answer and explanation/work. Thank you.

Answers

Answer:

[tex]14/50\\[/tex]

Step-by-step explanation:

The equation for sine is sine = opposite/ hypotenuse

The opposite of W is 14 and the hypotenuse the the side across the 90° angle, which is 50.

So, when you set up the equation it should be [tex]14/50[/tex].

A time series graph is useful for which of the following purposes?

Representing relative frequencies of categories in a specific year

Representing the cumulative frequencies of the data in a specific year

Representing the frequencies of the data, sorted from largest to smallest

Representing the frequencies of a data category over a period of several years

Answers

Answer: A time series graph is useful for representing the frequencies of a data category over a period of several years.

Explanation:                                                                                                           Time series graphs are usually employed when it is critical to examine data values and trends over time. A time series graph displays changes in data over time. It is usually used to depict economic, social, or physical characteristics that are measurable over time.                                                    A time series is a collection of observations or data taken at regular intervals over time and used to track and analyze changes in data over time.

   Time series graphs display data over time on a graph with time on the x-axis and a measured value, such as temperature or height, on the y-axis. The graph can display change trends over time as well as seasonal or other patterns, in addition to providing insight into how data values are changing over time.

Learn more about Time series graphs here https://brainly.com/question/30438476

#SPJ11

the scatterplot shows the number of hours that 12 people spent learning to type on a keyboard and each persons average typing speed. Based on the scatterplot, what is the best prediction of a persons average typing speed in words per min. if the person has spent 70 hours learning to type?

Answers

Answer:

85 wpm

Step-by-step explanation:

From the scatter plot, we can see the following;

At 20 hours, average typing speed = 34 wpm

At 30 hours, the average typing speed = 40 wpm

At 40 hours, the average typing speed = 51 wpm

At 50 hours, the average typing speed = 65 wpm

Average differences = ((40 - 34) + (51 - 40) + (65 - 51))/3 = 10.3

Approximating to a whole number = 10

Now, we can approximate that at 60 hours, average typing speed = 65 + 10 = 75 wpm

At 70 hours, the average typing speed = 75 + 10 = 85 wpm

Answer:

85 wpm

Step-by-step explanation:

I took this test!

Pleaseee help!!!!!!!!!

Answers

Answer: x=29

Explanation: 2x+x+3 = 90
3x +3 = 90
x = 29

a simple random sample of 800 elements generates a sample proportion p= 0.77 ( round awsners to 4 decimal places)
a) provide a 90% confidence interval for the population proportion
b) provide a 95% confidence interval for the population proportion

Answers

The 95% confidence interval for the population proportion is approximately (0.7465, 0.7935).

(a) To calculate a 90% confidence interval for the population proportion, we can use the formula:

Confidence Interval = sample proportion ± z * sqrt((sample proportion * (1 - sample proportion)) / sample size)

Given that the sample proportion is p = 0.77 and the sample size is n = 800, we need to find the critical value, z, corresponding to a 90% confidence level.

Using a standard normal distribution table or a statistical software, the critical value for a 90% confidence level is approximately 1.645.

Substituting these values into the formula, we have:

Confidence Interval = 0.77 ± 1.645 * sqrt((0.77 * (1 - 0.77)) / 800)

Calculating the confidence interval, we get:

Confidence Interval = 0.77 ± 0.0191

Therefore, the 90% confidence interval for the population proportion is approximately (0.7509, 0.7891).

(b) Similarly, to calculate a 95% confidence interval, we need to find the critical value corresponding to a 95% confidence level. The critical value is approximately 1.96 for a 95% confidence level.

Using the same formula and substituting the values, we have:

Confidence Interval = 0.77 ± 1.96 * sqrt((0.77 * (1 - 0.77)) / 800)

Calculating the confidence interval, we get:

Confidence Interval = 0.77 ± 0.0235

to learn more about confidence interval click here:

brainly.com/question/29730953

#SPJ11

Computer world has all computer has all computers on sale for 20% off. If the regular price of a laptop is $750, what is the sale price?

Answers

Answer:

Selling price of the laptop is $600.

Step-by-step explanation:

Let the sale price of the laptop = $x

Regular price of the laptop = $750

Discount on each computer = 20%

Selling price of the laptop 'x' = 750 - (20% of 750)

                                                = 750 - [tex](\frac{20}{100}\times 750)[/tex]

                                                = 750 - 150

                                                = $600

Therefore, selling price of the laptop is $600.

This tutorial will show you how to do an independent samples t test in SPSS and how to
interpret the result.
Steps
1. Independent-Samples T Test Compare Means 1. Click on Analyze
2. Drag and drop the dependent variable into the Test Variable(s) box, and the grouping
variable into the Grouping Variable box
3. Click on Define Groups, and input the values that define each of the groups that make
up the grouping variable (i.e., the coded value for Group 1 and the coded value for
Group 2)
4. Click Continue, and then click on OK to run the test
5. The result will appear in the SPSS data viewer

Answers

This tutorial provides step-by-step instructions on how to perform an independent samples t-test in SPSS and interpret the results.

The tutorial outlines the following steps to conduct an independent samples t-test in SPSS:

Access the Analyze menu.

Select "Compare Means" and then "Independent-Samples T Test."

Drag and drop the dependent variable into the "Test Variable(s)" box and the grouping variable into the "Grouping Variable" box.

Define the groups by clicking on "Define Groups" and inputting the coded values that represent each group.

Click "Continue" and then "OK" to run the test.

The results will be displayed in the SPSS data viewer.

By following these steps, users can conduct an independent samples t-test to compare means between two groups and assess whether there is a statistically significant difference. The result provides information such as the t-value, degrees of freedom, and p-value, which is used to interpret the significance of the difference between the means of the two groups. Researchers can then make conclusions based on the statistical findings from the independent samples t-test.

Learn more about t-test here:

brainly.com/question/32576462

#SPJ11

(x2-1)dy/dx+2y=(x+1)4 (integrating factor)

Answers

The integrating factor for the given differential equation is |x^2 - 1|.

To find the integrating factor for the given differential equation, we start by rearranging the equation in the form:

dy/dx + (2y)/(x^2 - 1) = (4(x + 1))/(x^2 - 1)

The integrating factor (IF) is given by the exponential of the integral of the coefficient of y, which in this case is (2/(x^2 - 1)). Therefore, the integrating factor IF is:

IF = exp ∫ (2/(x^2 - 1)) dx

To evaluate this integral, we can use a substitution. Let u = x^2 - 1, then du = 2x dx. Substituting this back into the integral, we get:

IF = exp ∫ (1/u) du = exp(ln|u|) = |u|

Since u = x^2 - 1, we have:

IF = |x^2 - 1|

Therefore, the integrating factor for the given differential equation is |x^2 - 1|.

To learn more about differential equations visit : https://brainly.com/question/1164377

#SPJ11

The mass of a species of mouse commonly found in houses is normally distributed with a mean of 20.8 grams with a standard deviation of 0.17 grams. For parts (a) through (c), enter your responses as a decimal with 4 decimal places. a) What is the probability that a randomly chosen mouse has a mass of less than 20.7 grams? b) What is the probability that a randomly chosen mouse has a mass of more than 21.02 grams? c What proportion of mice have a mass between 20.65 and 20.95 grams? d) 10% of all mice have a mass of less than grams.

Answers

a. Using the z-score, the probability of a randomly chosen mouse having a mass of less than 20.7 grams is approximately 0.2794.

b. The probability that a randomly chosen mouse has a mass more than 21.02g is 0.0985

c.  The probability of a mouse having a mass between 20.65 and 20.95 grams is approximately 0.6474.

d. About 10% of all mice have a mass of less than 20.5649 grams.

What is the probability that a randomly chosen mouse has a mass of less than 20.7g?

a) To find the probability that a randomly chosen mouse has a mass of less than 20.7 grams, we can use the normal distribution.

First, we need to standardize the value of 20.7 grams using the formula: z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.

The z-score for the data is;

z = (20.7 - 20.8) / 0.17 = -0.5882

P = 0.2794

b) To find the probability that a randomly chosen mouse has a mass of more than 21.02 grams, we also need to standardize the value:

z = (21.02 - 20.8) / 0.17 = 1.2941

P = 0.0985

Using the standard normal distribution table or a calculator, we find that the probability corresponding to this z-value is approximately 0.0985.

c) To find the proportion of mice that have a mass between 20.65 and 20.95 grams, we can standardize both values:

For 20.65 grams:

z₁ = (20.65 - 20.8) / 0.17 = -0.8824

For 20.95 grams:

z₂ = (20.95 - 20.8) / 0.17 = 0.8824

Using the standard normal distribution table or a calculator, we can find the probabilities corresponding to these z-values. The probability of a mouse having a mass between 20.65 and 20.95 grams is approximately 0.6474.

d) To find the mass of mice that corresponds to the 10th percentile, we need to find the z-score associated with the 10th percentile. We can use the standard normal distribution table or a calculator to find this value.

The z-score associated with the 10th percentile is approximately -1.2816.

Next, we can use the z-score formula to find the corresponding mass value:

z = (x - μ) / σ

-1.2816 = (x - 20.8) / 0.17

Solving for x, we get:

x = -1.2816 * 0.17 + 20.8 ≈ 20.5649 grams

Therefore, 10% of all mice have a mass of less than 20.5649 grams.

learn more on probability here;

https://brainly.com/question/24756209

#SPJ4

This is the equation: f(x)=x^2

e) Is f(x) symmetric? If so, what is the equation of the line of symmetry?

f) Does f(x) have a maximum or minimum? If so, at what point?

g) What are the x-intercept(s) of f(x)?

Answers

Answer:

e) yes, symmetric around the y-axis

f) minimum at (0,0)

g) x-intercept at 0

Step-by-step explanation:

what is the 43th term of 11,16,21

Answers

for points sorry Answer:

Step-by-step explanation:

Other Questions
HIJK~KHJ. Show that each of the following arguments is valid byconstructing a proofI Following is the Yahoo Finance page for Apple Inc. You are analyzing the stocks using Yahoo Finance since it provides many financial ratios. Apple Inc. (AAPL) NasdagGS-NasdagG5 Real Time Price Currency in USD 161.84-1.92 (-1.17 %) 161.25 -0.59 (-0.36%) At close: December 3 04:00PM EST Afterhours: Dec. 3, 08:00PM EST Summary Chart Conversations Statistics Historical Data Profile Financials Analysis Options Previous Close Open Bid Ask Day's Range 159.72-164.96 52 Week Range 116.21-170.30 Volume Avg. Volume 163.76 Market Cap 164.02 Beta (SY Monthly) 161.22 x 1400 PE Ratio (TTM) 161.26 x 800 EPS (TTM) 118,023,116 Valuation Measures4 Market Cap (intraday) Enterprise Value Trailing P/E Forward P/E PEG Ratio (5 yr expected) Price/Sales (ttm) Price/Book (mrg) 83.343.380 Enterprise Value/Revenue Enterprise Value/EBITDA Add to watchlist Year 0 1 2 3 2.655T 1D 5D 1M 6M YTD 1Y SY Max 1.21 28.85 5.61 Jan. 25, 2022- Jan 31, 2022 0.88 (0.54%) Earnings Date Forward Dividend & Yield Ex-Dividend Date Nov. 05, 2021 1y Target Est 168.95 2.66T 2.72T 29.19 29.33 3.51 7.55 42.59 7.43 22.07 10 am 12 pm Profitability Profit Margin Operating Margin (ttm) Management Effectiveness Return on Assets (ttm) Return on Equity (ttm) Holders Sustainability Full screen 166.00 163.76 161.85 02 pm 04 pm. Trade prices are not sourced from all markets Project A -$48,000 $18,400 $31,300 $11,700 159.00 25.88% 29.78% 1) Name two ratios that you believe could reflect one company's financial situation from above screenshot. Briefly explain these ratios and why you think they matter. (2 marks) 20.18% (2) Due to the recent decline in stock price, Apple is considering the following two mutually exclusive projects. Suppose Apple currently has: 147.44% 5,000 8-year, 6% semi-annual coupon bonds at par (face value = $1,000); 40,000 shares outstanding, price = $161.84. = 1.21. Market risk premium: 6%; Risk-free rate: 2%; Tax rate: 35%. Which project should you accept and why? (Please do not use excel functions) (8 marks) Project B -$126,900 $69,700 $80,900 $0 (3) Net present value and Internal Rate of Return use the same data and the same time value of money theory in their computations. Why then is net present value considered to be a superior measure when making capital budgeting decisions? (2 marks) practical uses of an income statement includea) determining whether you are spending more than you earn.b) spotting problem areas of overspending.c) determining if money is available for saving or investing.d) knowing where your money is going.e) all of the above Carole used 3 3/4cups of butter for baking. Theamount of sugar she used was 1/3 of the amount ofbutter she used. How much sugar, in cups, didshe use?1 1/4cups1 1/3cups2 1/2 cups3 5/12cups g The comparative balance sheets for Pharoah Company show these changes in noncash current accounts: Accounts Receivable increased $29,800, Prepaid Expenses decreased $10,800, and Inventory decreased $18,900. Accounts payable increased $13,400. Calculate net cash provided by operating activities using the indirect method assuming that profit is $252,000 for the year ended June 30, 2021. Depreciation expense for the year was $26,900 and the company incurred a gain on sale of equipment of $21,000. The firm and industry are not the same in which market structure 2. According to the video, World War I saw the first US Presidential trip to Europe.Which American President made this trip AND for what reason?I can octopuses regenerate teeth? McDonalds has a bonds average yield of 7 percent and a stock beta of 0.9. Currently, US treasury bill rates is 3 percent and world market index is 9 percent. McDonalds has total assets of $100 million and debt of $60 million, and falls within 30 percent tax bracket.What is its cost of equity?What is its weighted average cost of capital?Round your answer to 4 decimal points. Do not put your answer in percentage. Let Y~ N(, 2). Find the MGF of Y using the fact that Y = +oZ where Z~ N(0, 1). You don't have to derive the MGF of Z since it was done in lecture 1. Mention Four reasons why it is important to apply the entry at tetiary institutions while you are still at grade 11. PLEASE HELP ME FAST, I ASKED THIS ALREADY AND ALL I GOT WAS ONE OF THOSE SCAM LINKS :( IF YOU GIVE AN EXPLANATION I CAN GIVE YOU BRAINLIEST! Two angle measures in a triangle are 47 and 43. What type of triangle is it?Also, I just wanted to say that I can only give brainliest if two people answer. Thank you! marc is an investigator who discovers a piece of visible data. what did marc likely then see? group of answer choices any data stored in sectors or clusters a file dragged to the windows recycle bin a file being swapped in visible ram a string of sms text messages If a 2ft stick in the ground casts a shadow of 0.8ft, what is the height of a tree that casts a shadow that is 14.24ft? An AHSS tool is used to turn a steel workpiece that is 200 mm long and 50 mm in diameter. The parameters in the Taylor equation are: n = 0.15 and C = 100 (m/min) for a feed of 0.4 mm/rev.The labor rate = $22.00/hr, the burden rate is $10.00/hr, and each AHSS ceramic coated insert with 4 cutting edges, costs $30.00. It takes 3.0 min to load and unload the workpiece and 8.0 min to change tools and 2.0 minute to index. Determine:1. The cutting speed for maximum production rate2. The tool life in min of cutting, when using the maximum cutting speed found in (1).3. The cost per unit of product, when using the maximum cutting speed found in (1).4. The cutting speed for minimum unit cost.5. The tool life in min of cutting, when using the maximum cutting speed found in (4),6. The cycle time when using the maximum cutting speed found in (4), 8 GOCULTURE Dis ce que c'est et o on peut trouver les endroits suivants. 1. Elle est clbre dans toute l'Afrique musulmane. Elle est construite en argile.2. Cette rgion abrite l'une des plus anciennes populations d'Afrique.3. C'est le plus grand dsert du monde. 4. Cet endroit ressemble un paysage lunaire et a servi de dcor pour le film La Guerre des toiles. 5. Ses deux cents sources produisent huit cents litres d'eau par seconde. 6. Cette fort tropicale est un parc o l'on trouve de nombreuses espces animales et vgtales. 7. C'est une unit gographique religieuse et culturelle forme par trois pays. Using a graphical method, solve the quadratic equation:-X2 - 2x + 3 = 0 distinguish between active and passive immunity ______________ parts of the brain, which is the last to fully mature in adolescence are called _________ Garth Brooks listened to a broad range of rock music. What were two of thosebands identified in the reading? Pick two items