A charity holds a raffle in which each ticket is sold for $35. A total of 9000 tickets are sold. They raffle one grand prize which is a Lexus GS valued at $45000 along with 2 second prizes of Honda motorcycles valued at $9000 each. What are the expected winnings for a single ticket buyer? Express to at least three decimal place accuracy in dollar form (as opposed to cents).

Answer: $

Answers

Answer 1

A purchaser of a single ticket can anticipate losing, on average, $28.

The likelihood of winning each prize multiplied by the prize's worth, then adding up all the prizes, can be used to determine the estimated earnings for a single-ticket purchaser.

The big prize has a 1/9000 chance of being won, and it is worth $45000. Hence, the following are the anticipated profits from the main prize:

45000/9000 = 5

The odds of winning one of the three second-place prizes, each worth $9000, are 2/9000. The following is the anticipated profits from the second prize:

2/9000 * 9000 = 2

Finally, the price of the ticket itself is the projected cost of the ticket:

$35

Consequently, the difference between the expected value of the prizes and the ticket's price can be used to compute the expected wins for a single ticket purchaser:

$5 + $2- $35 = -$28

This indicates that a purchaser of a single ticket can anticipate losing, on average, $28.

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Related Questions

Ms. Reynolds is asking students to find
the volume of the rectangular pyramid
below. Which student wrote the
correct expression for the value of B,
the area of the base ?

Peter: 5•13

Thelma: 1/3 (13•12)

Answers

Peter found the correct expression, the width and length of the base are 5 and 14 centimeters.
Thelma found the measurements for the surface on the side of the rectangular pyramid, not the base.
peter had gotten the answer thelma is the one who got the question wrong

Solve the inequality -5(x - 1) > -40, and graph the solution on a number line.

Answers

Answer:

x<9

Step-by-step explanation:

-5(x-1)>-40

x-1>-40/-5

x-1>8

x>8+1

x>9

x<9

The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 5(x - 1) > -40

Now,

Solve the inequality as;

The inequality is,

⇒ - 5(x - 1) > -40

⇒ - (5x - 5) > - 40

⇒ 5x - 5 < 40

Add 5 both side,

⇒ 5x - 5 + 5 < 40 + 5

⇒ 5x < 45

Divide by 5, we get;

⇒ x < 9

Thus, The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

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A tangent-tangent angle intercepts two arcs that measure 124 degrees and 236 degrees what is the measure of the tangent-tangent angle

Answers

Answer:

It can be calculated by finding the difference between the two angles. Half of this difference will be the angle that is required.

Therefore

236 - 124 = 112

Tanget-tanget angle = 112 / 2 = 56 degrees

CAN SOMEBODY HELP ME PLEASE

Answers

The answer is H= 15 feet

which of the following equations has no solution? ​

Answers

Answer:

-2x^2 + 2x + 1

Step-by-step explanation: If you try to factorize, there are no solutions, and if you use the quadratic formula, you don't get 2 solution for x

the top one or the first one

Which of the following tests can be used to assess whether variances are equal between multiple groups? Welch's test Shapiro-Wilk test Goodness of Fit test Levene test 26 10 points Cancer patients were treated with a new cell-based therapeutic to aid in reducing tumor size. The data table below shows the patients' adverse reactions to this treatment: Weak reaction Strong reaction Male patients Medium reaction 203 110 213 138 182 Female patients 154 Is the sex (male or female) of the patient linked to the severity of the adverse reaction that is observed? Show your work and explain your logic below. Bold or circle your final answer. 0000 The correlation coefficient (r) is used for linear, exponential, and logarithmic relationships. True False

Answers

The test that can be used to assess whether variances are equal between multiple groups is the Levene test.

The Levene test is a hypothesis test for the equality of variances in a statistical population. It is named after the American statistician Howard Levene. It is commonly used to check the null hypothesis of homoscedasticity or equal variances across k groups. The test is used to determine if two or more groups have different variances or if the variance is unequal. The null hypothesis of the Levene test is that the variance of the populations from which the groups are drawn is equal. The Levene test is an alternative to the F-test for equal variances. Therefore, it can be concluded that the Levene test can be used to assess whether variances are equal between multiple groups.

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Please please help me it would mean a lot. Find the area

Answers

Answer: 10.825 Unit ^2

Explanation: Formula for area of triangle: A = 1/2 bh. Plug in variables. A = (1/2) (4.33)(5). Solve.

Which of the following is caused by the contraction of the diaphragm?
a)Exhalation
b)Relaxation of the rib muscles
c)Downward movement of the rib cage
d)Increase in volume of the chest cavity
Correct answer is option 'D'. Can you explain this answer?

Answers

The contraction of the diaphragm causes an increase in the volume of the chest cavity, leading to the correct answer, option 'D'.

The diaphragm is a dome-shaped muscle located at the bottom of the chest cavity. When it contracts, it flattens and moves downward. This contraction of the diaphragm plays a crucial role in the process of inhalation or inspiration.

During inhalation, the diaphragm contracts, which causes it to move downward. This downward movement creates more space in the chest cavity, leading to an increase in its volume. As a result, the lungs expand, and air rushes in from the external environment to fill this increased space. This process allows oxygen to be drawn into the lungs for respiration.

Therefore, option 'D' is the correct answer because the contraction of the diaphragm causes an increase in the volume of the chest cavity, facilitating inhalation or inspiration.

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Match the following ratios to what they describe.
Description
The ratio of students who wish they had x-ray
vision to all students
The ratio of students who wish for flight to all
students
The ratio of students who wish for flight to
those who wish for invisibility
Ratio
2:9
2:3
1:6

Answers

The ratio of students who wish they had x-ray vision to all students: 2:9

The ratio of students who wish for flight to all students: 3:1

The ratio of students who wish for flight to those who wish for invisibility: 6:1

How to Match the ratios to what they describe.

1. The ratio of students who wish they had x-ray vision to all students: 2:9

This means that out of a group of students, there are 2 students who wish they had x-ray vision for every 9 students in total.

2. The ratio of students who wish for flight to all students: 2:3

This ratio indicates that out of a group of students, there are 2 students who wish for the ability to fly for every 3 students in total.

3. The ratio of students who wish for flight to those who wish for invisibility: 1:6

This ratio compares the number of students who wish for flight to the number of students who wish for invisibility. It states that for every student who wishes for flight, there are 6 students who wish for invisibility.

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Although similar in some ways, one difference between contingency tables and the tables used in factorial designs (e.g., "two-way ANOVAs") is:

A) the factorial analysis of variance tables display marginal figures, whereas contingency tables do not.

B) the cells in contingency tables hold frequencies, whereas the cells in factorial analysis of variance tables

represent means.

C) contingency tables, but not factorial analysis of variance tables, rely on marginal figures.

D) the numbers in the cells of factorial analysis of variance tables are means for the measured variable, whereas the numbers in the cells of contingency tables represent the means for grouping variables.

Answers

One difference between contingency tables and the tables used in factorial designs is

B) The cells in contingency tables hold frequencies, whereas the cells in factorial analysis of variance tables represent means.

Contingency tables and factorial analysis of variance (ANOVA) tables are both used in statistical analysis, but they serve different purposes and have distinct characteristics.

Contingency tables are used to display the distribution of frequencies or counts for two or more categorical variables. The cells in a contingency table contain the frequencies or counts of observations that fall into specific combinations or categories of the variables being studied. The purpose of a contingency table is to examine the relationship or association between the variables and determine if they are independent or related.

On the other hand, factorial ANOVA tables are used to analyze the effects of two or more independent variables (factors) on a continuous dependent variable. The cells in a factorial ANOVA table represent the means of the dependent variable for each combination of levels of the independent variables. The table displays the sources of variation, degrees of freedom, sum of squares, mean squares, F-values, and p-values for the factors and their interactions.

Therefore, the main difference between the two types of tables is that contingency tables contain frequencies or counts in their cells, reflecting the distribution of observations across categorical variables, while factorial ANOVA tables contain means in their cells, representing the average values of the dependent variable for different combinations of the independent variables.

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im totataly lost:( (needs help)

Answers

Answer:

B)All the real numbers

Step-by-step explanation:

the given Graph is Parabola

so the function has to be quadratic

we know that the domain of a quadratic function is always [tex]x\in\mathbb{R}[/tex]

hence, our answer is B

Three cylinders have a height of 8cm. Cylinder 1 has a radius of 1cm. Cylinder 2 has a radius of 2cm. Cylinder 3 has a radius of 3cm. Find the volume of each cylinder.

Answers

Answer:

Volume of Cylinder 1 = π×r×r×h

= 22÷7×1×1×8

= 25.13cm

Volume of Cylinder 1 = π×r×r×h

= 22÷7×2×2×8

= 100.53cm

Volume of Cylinder 1 = π×r×r×h

= 22÷7×3×3×8

= 226.19cm

Which expression can be used to calculate the area of a circle?
Pi times diameter
2 times pi times radius
Pi times diameter times diameter
Pi times radius times radius


help plz

Answers

Area of a circle = pi x radius(squared)

HELP I HAVE TO SUBMIT IN 15 MINS AND I HAVE NO IDEA HOW TO DO IT :(

Answers

Answer:

I'm so sorry! I tried to make a graph online. I can try to show my work, but I don't know how long that will take. Everyone in my house is sleeping, so I'm trying not to wake anyone up. Sorry for the inconvenience, but comment if you need anything. I'll try to comment the Domain and Range for both equations, hold on.   >w<

Just to let you know: for the "Inverse.pdf" or "attachment2" the equation should be [tex]f^-^1= \frac{ln (x)}{ln (5)}[/tex]

A state of Maine drivers license has a unique ID for each individual that is 7 digits.

How many possible ID's are available in Maine?

Answers


10,000,000
...............

Si restamos 10 unidades al cuadrado de un número, el resultado coincide con el triple de dicho numero. ¿Cual es el numero busado?

Answers

Answer:

The value of x is 5 that represents the searched number

Step-by-step explanation:

Let us assume x be the number [^ 2] i.e. squared.

Now  

x^2  -10 = 3x

This is a quadratic equation

x^ 2 - 3x - 10 = 0

x^2 - 5x + 2x - 10

x (x - 5) + 2(x - 5)

(x-5) (x + 2) = 0  

x - 5 = 0 where x = 5 positive.

x + 2 = 0 where x = -2 negative.

Here we considered the positive  

The value of x is 5 that represents the searched number

Rasheed is getting dressed in the dark. He reaches into his sock drawer to get a pair of socks. He knows that his sock drawer contains six pairs of socks, and each pair is a different color. Each pair of socks is folded together. The pairs of socks in the drawer are red, brown, green, white, black, and blue.



A. How many possible outcomes are there in the experiment?



B. What are the possible outcomes of the experiment?



C. List the sample space for the experiment.



D. Calculate P(blue).



E. Calculate P(not purple)

Answers

Answer:

Part A: There are 6 possible outcomes of this experiment.

Part B: There are 6  possible outcomes of the experiment ;   red, brown, green, white, black, and blue ( equal)

Part C:

Sample Space = { red, brown, green, white, black,  blue }

Part D:

P (blue)= 1/6

Part E:

P (not purple)= 1

Step-by-step explanation:

Part A:

There are 6 possible outcomes of this experiment.

As there are 6 pairs of socks. Each pair is folded together so that the socks cannot be mixed up . There is 1 chance of choosing each pair of socks.

Part B:

The chosen socks can be any of the following  red, brown, green, white, black, and blue so there are 6  possible outcomes of the experiment ;   red, brown, green, white, black, and blue (all have  equal probability) .

Part C:

The sample space contains all the possible outcomes of the event.

Sample Space = { red, brown, green, white, black,  blue }

Part D:

P(blue)= No of favorable outcomes/ Total no  of outcomes

P (blue)= 1/6

Part E:

P (not purple)= 1

As the total probability is always equal to 1 and we want to find the probability of the color which is not given in the list

P( purple) = 0/6= 0

And the probability of not purple is given by the formula

P (not purple) = 1- P (purple)

                         = 1-0= 1

1 indicates that the event of any other color except purple must occur which is equal to the probability of not purple.

This can be solved by complement rule also.

Use the sum of cubes identity to write this polynomial expression in factored form: 8x^3 + 27

Answers

(2x + 3) (x^2 - 6x + 9)

Help Please!!!!! (Look at picture

Answers

438, correct me if wrong but this is what it said
438! Aka person above me is correct and I trust PhotoMath!

Let C[0, 1] have the inner product (f. g) = integral (0,1) f(x)g(x) dx. For u = x and v= x + 1 find the following: a) ||f|| b) llgll c) (f.g) d) Find the angle between u and v.

Answers

(a) The norm of the function u = x is ||u|| = √(1/3). (b) The norm of the function v = x + 1 is ||v|| = √(11/3). (c) The inner product of functions f and g is (f, g) = integral from 0 to 1 of f(x)g(x) dx. (d) The angle between u = x and v = x + 1 is arccos(-1/3).

(a) To find the norm of the function u = x, we calculate ||u|| = √((u, u)). Using the given inner product, we have ||u|| = sqrt(integral from 0 to 1 of x² dx) = √(1/3).

(b) To find the norm of the function v = x + 1, we calculate ||v|| = √((v, v)). Using the given inner product, we have ||v|| = sqrt(integral from 0 to 1 of (x + 1)² dx) = √(11/3).

(c) The inner product of functions f and g is given by (f, g) = integral from 0 to 1 of f(x)g(x) dx. The specific functions f and g are not provided in the question, so we cannot determine their inner product without additional information.

(d) The angle between two functions u = x and v = x + 1 can be found using the formula cos(∅) = (u, v) / (||u|| ||v||), where theta is the angle between u and v. Substituting the given values, we have cos(∅) = (integral from 0 to 1 of x(x + 1) dx) / (√(1/3) √(11/3)). Evaluating the integral and simplifying, we find cos(∅) = -1/3. Taking the inverse cosine, we obtain ∅ = arccos(-1/3).

Therefore, the norm of the function u = x is √(1/3), the norm of the function v = x + 1 is √(11/3), the inner product (f, g) cannot be determined without the specific functions f and g, and the angle between u = x and v = x + 1 is arccos(-1/3).

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Find the measure of each labeled angle A(3x-20) B(2x) C (2x-15)

Answers

Answer:

Measure of angle A = 100°

Measure of angle B = 80°

Measure of angle C = 65°

Step-by-step explanation:

From the given picture,

Angle A and angle B are the linear pair of angles, and linear pair of angles are supplementary angles,

m(∠A) + m(∠B) = 180°

(3x - 20)° + (2x)° = 180°

5x - 20 = 180

5x = 200

x = 40

By substituting the value of x in the measures of each angle,

m(∠A) = (3x - 20)°

          = 3(40) - 20

          = 120 - 20

          = 100°

m(∠B) = 2x°

          = 2(40)

          = 80°

m(∠C) = (2x - 15)°

          = 2(40) - 15

          = 80 - 15

          = 65°

e/m = 3.125x10^6 V/r^2I^2
From the equation (above) in lab instruction, derive the formula of error propagation required in experiment step 8 8. Change the voltage to 400V for the third data set. Estimate the instrument uncertainty in V, I, & r. Use the last digit place read from the power supplies as the uncertainties V and I. Uncertainty in r should be estimated from the thickness of the beam path. Using error propagation, calculate the instrument uncertainty in e/m for each data point.

Answers

The instrument uncertainty in e/m for each data point is calculated using error propagation.

e/m = 3.125x10^6 V/r^2I^2

From the given equation above, the formula for error propagation required in experiment step 8 can be derived. The error propagation formula is given as;Δe/m = (e/m)(ΔV/V + 2Δr/r + 2ΔI/I)

The voltage is changed to 400 V for the third dataset. The instrument uncertainties in V, I, and r are to be estimated.

The last digit place read from the power supplies is used as the uncertainties V and I. The uncertainty in r should be estimated from the thickness of the beam path.

Estimation of instrument uncertainties in V, I, and r:For V, the reading is up to 0.1 V.

Hence, the uncertainty in V isΔV = 0.1 VFor I, the reading is up to 0.01 A.

Hence, the uncertainty in I isΔI = 0.01 AFor r, the thickness of the beam path is given as 0.25 cm. Hence, the uncertainty in r isΔr = 0.25 cm

The instrument uncertainty in e/m for each data point is to be calculated using error propagation.

Data for three datasets are given below;

Data Set 1: V = 200 V, r = 0.56 cm, I = 0.2 AData Set 2: V = 300 V, r = 0.56 cm, I = 0.2 AData Set 3: V = 400 V, r = 0.56 cm, I = 0.2 A

For Data Set 1;e/m = 3.125 x 106 × 200/ (0.56)2 (0.2)2= 1.75867 × 1011 C/kgΔe/m = (1.75867 × 1011)(0.1/200 + 2(0.25/0.56) + 2(0.01/0.2))= 1.78853 × 1010 C/kg

For Data Set 2;e/m = 3.125 x 106 × 300/ (0.56)2 (0.2)2= 2.63800 × 1011 C/kgΔe/m = (2.63800 × 1011)(0.1/300 + 2(0.25/0.56) + 2(0.01/0.2))= 1.70314 × 1010 C/kg

For Data Set 3;e/m = 3.125 x 106 × 400/ (0.56)2 (0.2)2= 3.51733 × 1011 C/kgΔe/m = (3.51733 × 1011)(0.1/400 + 2(0.25/0.56) + 2(0.01/0.2))= 1.61057 × 1010 C/kg

Hence, the instrument uncertainty in e/m for each data point is calculated as;

For Data Set 1, Δe/m = 1.78853 × 1010 C/kg

For Data Set 2, Δe/m = 1.70314 × 1010 C/kg

For Data Set 3, Δe/m = 1.61057 × 1010 C/kg

Therefore, the instrument uncertainty in e/m for each data point is calculated using error propagation.

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henry ford had 900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 car parts and the rate of 99999999999999999999999999999999999999999999999999999999999999999999 x 99999999999999999999999999999999999999999. how many car parts will he have?

Answers

Answer:

900000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Step-by-step explanation:

Alexa is saving to buy a new bike that costs $265. So far she has saved $45. If she is able to save $11 each week, how many weeks will it take her to save enough to buy her coveted bike? Kole wrote (265 - 45)/11 = w. Bella wrote 11w + 45 = 265. Who do you agree with? Justify your response.

Answers

Answer: Bella is correct.

Step-by-step explanation:

Let the number of weeks will it take her to save enough to buy her coveted bike be represented by w.

The information given in the question can then be formed into an equation as:

45 + 11(w) = 265

45 + 11w = 265

Collect like terms

11w = 265 - 45

11w = 220

w = 220/11

w = 20

He'll save for 20 weeks

Bella is correct.

i need help please and thank you i will give a brainliest for the correct answers so it’s more than once it say select all that apply

Answers

Answer:

I would say C or B

Step-by-step explanation:

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Sebastián afirma que – 14 está a la izquierda de – 10 en la recta numérica y por lo tanto es mayor, mientras que Alfredo afirma que es menor. ¿Quién está en lo correcto? Justifica.

Answers

Answer:

Alfredo está en lo correcto porque los números negativos se encuentran a la izquierda del cero y mientras más a la izquierda se encuentra un número negativo, más pequeño será y a medida que te desplazas hacia la derecha mayor será el número. Puedes representar los dos números en una recta numérica de la siguiente forma:

___________________________________________________________

-14   -13    -12    -11    -10    -9    -8    -7    -6    -5    -4    -3    -2    -1    0    1    2    3

Como se ve aquí, -14 se encuentra a la izquierda de -10 y esto significa que es menor. Por esto, Alfredo está en lo correcto al decir que -14 es menor.

Let A = {10, 12, 13, 14, 15} and B = {10,20, 21, 30, 40}. Find a set of largest possible size that is a subset of both A and B.

Answers

The set has a size of 1, which is the largest possible size for a subset that is common to A and B.

To find a set of largest possible size that is a subset of both A and B, we need to find the common elements of A and B.

The common element of A and B is 10. Therefore, any subset of A and B that is of largest possible size must include 10.

One possible set of largest possible size that is a subset of both A and B is:

{10}

This set has a size of 1, which is the largest possible size for a subset that is common to A and B.

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Allen has 10 different books at home and he would like to arrange them on his book shelves.In how many different ways can do this

a) if he would like to arrange all the books on one shelf in a row so that two of the books:"Robinson Cruso and"C Programming"cannot be nex to each other?

b) if he would like to arrange all the books on one shelf n a row so thatthe book:"Robinson Cruso"cannotbe the first nor the last book in the row?

c) if he would like to arrange the books on two shelves putting 6books on the top shelf and 4 books on the bottom shelf(in rows) so that the book"War and peace"has to be on the top shelf and"SPSS"has to be on the bottom one?

d) if he would like to arrange the books on three shelves putting 3 books on the top shelf,3 books on the middle shelf and 4 books on the bottom shelf (in rows)so that"C programming"and"SPSS"are both on the top shelf and"Harry Potter"cannot be on the bottom shelf?

Answers

Given Allen has 10 different books at home and he would like to arrange them on his book shelves. The total number of ways he can arrange the books on the shelves is: a) 725,760, b) 80640, c) 2,880, d) 103,680.

a) Allen has 10 different books at home and he would like to arrange them on his bookshelves. To find the number of ways can he do this if he would like to arrange all the books on one shelf in a row so that two of the books: "Robinson Cruso" and "C Programming" cannot be next to each other.

Using permutation formula, we can get the total number of ways that he can arrange the books where two books, Robinson Cruso and C Programming, can't be next to each other:

Total number of ways = 10! - (9! x 2!)

= 725,760

b) Allen has 10 different books at home and he would like to arrange them on his bookshelves. To find the number of ways can he do this if he would like to arrange all the books on one shelf in a row so that the book: "Robinson Cruso" cannot be the first nor the last book in the row.

Using permutation formula, we can get the total number of ways that he can arrange the books, where the book Robinson Cruso cannot be the first nor the last book in the row:

Total number of ways = 8! x 2!

= 80640

c) Allen has 10 different books at home and he would like to arrange them on his bookshelves. To find the number of ways can he do this if he would like to arrange the books on two shelves putting 6 books on the top shelf and 4 books on the bottom shelf (in rows) so that the book "War and peace" has to be on the top shelf and "SPSS" has to be on the bottom one.

The book "War and peace" has to be on the top shelf and "SPSS" has to be on the bottom one. We can arrange these 2 books on the shelves in 1 way. There are 5 books remaining that he can arrange in 5! ways on the top shelf and 4 books remaining that he can arrange in 4! ways on the bottom shelf.

Therefore, the total number of ways he can arrange the books on the shelves is:

Total number of ways = 1 x 5! x 4!

= 2,880

d) Allen has 10 different books at home and he would like to arrange them on his bookshelves. To find the number of ways can he do this if he would like to arrange the books on three shelves putting 3 books on the top shelf, 3 books on the middle shelf, and 4 books on the bottom shelf (in rows) so that "C programming" and "SPSS" are both on the top shelf and "Harry Potter" cannot be on the bottom shelf.

Two of the books, "C programming" and "SPSS", are on the top shelf. We can arrange these 2 books in 2! ways.

There are 2 other books that can be arranged on the top shelf in 2! ways.

One of the books, "Harry Potter", cannot be on the bottom shelf. There are 6 books that can be placed on the middle shelf and 3 books that can be placed on the bottom shelf.

Therefore, the total number of ways he can arrange the books on the shelves is:

Total number of ways = 2! x 2! x 6! x 3!

= 103,680

Answer: a) 725,760b) 80640c) 2,880d) 103,680

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please help meeeeeeeeee​

Answers

Answer:

20% i believe

Step-by-step explanation:

i looked it up actually lol

Answer:

The percentage change is a 20% increase

I need help with this

Answers

I think it’s B :) I hope this helped
Other Questions
How does the geographic theme of place help us understand life on Earth?O A. It tells us what a region is like.B. It tells us where a region is located.C. It tells us about people's migration to a region.D. It tells us how people have affected the environment of a region. Don't know why we couldn't have gone swimming this afternoon. Is it grammatically correct sentence? A your 22 A young management trainee in the pharmaceutical sector was frustrated when he found that his boss would not let him embark on a critical project execution related to development of a vaccine until he had a proper plan, even though creating the execution plan would entail some initial delay. How can you justify the action of his boss? Some project managers prefer the PERT chart over the Gantt chart because it clearly illustrates task dependencies. A PERT chart, however, can be much more difficult to interpret, especially on complex projects. Alternatively, some project managers may choose to use both techniques. If you are the project manager of a residential construction project, will you prefer PERT chart to Gantt chart? Explain why? Hey I'm back anyone remembers me? How does having eyes in front help predators hunt their prey? Which ion dissociates in Acids?A- -B- +C- +D- COOH A particular type of mouse's weights are normally distributed, with a mean of 409 grams and a standard deviation of 24 grams. If you pick one mouse at random, find the following: (round all probabilities to four decimal places) a) What is the probability that the mouse weighs less than 332 grams? b) What is the probability that the mouse weighs more than 480 grams? c) What is the probability that the mouse weighs between 332 and 480 grams? d) Is it unlikely that a randomly chosen mouse would weigh less than 332 grams? No, the likelihood exceeds 5% Yes, the likelihood is less than 50% Yes, the likelihood is less than 5% No, the likelihood exceeds 50% e) What is the cutoff for the heaviest 6% of this type of mouse? grams (round to the nearest whole gram). Which term refers to the various touchpoints that a consumer encounters, leading to a retailers e-commerce site/purchase?a. conversion rateb. pay-per-clickc. sentiment analysisd. e-commerce purchase funnele. customer attribution Lighthouse B is 9 miles west of lighthouse a a boat leaves a and sales 6 miles. At this time it is lighted from B. If the bearing of the boat from B is North 64 east how far from be is the boat? Two 5.0 - cm-diameter rings are facing each other 5.0 cm apart. Each is charged to +3.0nC. Part A What is the electric potential at the center of one of the rings? Express your answer with the appropriate units. In a geometric sequence, the seventh term exceeds the fifth term by 1,920. Find the sum ofthe first eleven terms if the common ratio of the sequence is 2. (81880) In a food pyramid, what trophic level do decomposers get their food from?Select one:All levels of the pyramid.Producers only.Producers and primary consumers.Primary consumers and secondary consumers. WILL MARK BRAINLIST!! if you lived in rome what direction would you travel to go to turin? the polynomial x^2+bx+15 has a factor of x-3. what is the value of b ? What divided by 76 equals 127Easy one please answer ASAP This large cube sculpture at the University of Michigan is made of steel. Even though it is extremely heavy, students can walk by and spin the cube very easily. Each side of the cube measures 15 feet across.If this cube was a perfect cube and filled with sand, how much sand would be needed to completely fill it? USA Today reported that the population mean life span of people who live in Hawaii is 77 years. A random sample of 20 obituary notices gave a sample mean life span of x= 71.4 years and a sample standard deviation s = 20.65 years. Assuming that the life span of people in Hawaii is normally distributed, does this indicate that the population mean life span is less than 77 years? Use a 5% level of significance. a.) What is a? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two tailed test? = ____H_0: = _____H_1: = _____The test is a _______ test. give an estimated simple linear regression equation of = 46.2 589.2x with a coefficient of determination r2 of 0.7523, interpret the coefficient of determination for this equation. In context of nepal it is better to use energy like solar power .why?