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Answer:

x=15

Step-by-step explanation:

If each of those expressions is the measure of each arc of the circle, when added together they should equal 360

8x-10+6x+10x+10=360

24x=360

x=15

Answer:

0.64%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 75 grams and a standard deviation of 22 grams.

This means that [tex]\mu = 75, \sigma = 22[/tex]

Sample of 144:

This means that [tex]n = 144, s = \frac{22}{\sqrt{144}} = 1.8333[/tex]

More than 80 or less than 70:

Both are the same distance from the mean, so we find one probability and multiply by 2.

The probability that it is less than 70 is the pvalue of Z when X = 70. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{70 - 75}{1.8333}[/tex]

[tex]Z = -2.73[/tex]

[tex]Z = -2.73[/tex] has a pvalue of 0.0032

2*0.0032 = 0.0064.

0.0064*100% = 0.64%

The probability is 0.64%.

Answer:

b, c and e

Step-by-step explanation:

Given

See attachment for functions

Required

Select all statements that contain both functions

First, calculate the rate (slope) of both functions.

This is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

For Alec's

[tex](x_1,y_1) = (0,3)[/tex]

[tex](x_2,y_2) = (2,9)[/tex]

So, the slope is:

[tex]m = \frac{9 - 3}{2 - 0}[/tex]

[tex]m = \frac{6}{2}[/tex]

[tex]m =3[/tex]

For Beth's

[tex](x_1,y_1) = (5,17)[/tex]

[tex](x_2,y_2) = (12,38)[/tex]

So, the slope is:

[tex]m = \frac{38 - 17}{12 - 5}[/tex]

[tex]m = \frac{21}{7}[/tex]

[tex]m =3[/tex]

Beth and Rec have the same slope. Hence, they save at the same rate.

Next, determine the amount they started with.

This implies that we calculate y when x = 0

From Alec's graph.

[tex](x,y) = (0,3)[/tex]

Alec's initial savings is 3

For Beth's savings, we make use of slope formula.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex](x_1,y_1) = (5,17)[/tex]

[tex](x_2,y_2) = (0,y)[/tex]

So, we have:

[tex]3 =\frac{y - 17}{0 - 5}[/tex]

[tex]3 =\frac{y - 17}{ - 5}[/tex]

[tex]y - 17 = -15[/tex]

[tex]y = 17 -15[/tex]

[tex]y = 2[/tex]

Beth's initial savings is 2

Hence, Alec started with more money

Next, is to determine who has more money after 10 days.

Since they save at the same rate, the difference in their savings after any number of days will be the difference in their initial savings.

The difference (d) is calculated as:

[tex]d = 3 - 2[/tex]

[tex]d = 1[/tex]

Hence, Alec will have $1 more than Beth after 10 days

Answer:

its bc and e or Alec and Beth are saving at the same rate. Alec started with more money than Beth. and At 10 days, Alec will have $1 more than Beth in savings.

Step-by-step explanation:

Answer:

Gddghdhdhdhy heifer here early enough h her y

Answer:

I Think 178

Step-by-step explanation:

Answer:

0.1249

Step-by-step explanation:

that's what answer my calculator gives me. Hope that helped. <3

xoxo

Answer:

6/48 or 1/8 when simplified

Step-by-step explanation:

Answer: Im confused just like you.

Step-by-step explanation: My teacher gave me that question too.

Answer:

<TUX and <YXU

Step-by-step explanation:

:))))))))))

Answer:

A 0.014

Hope this helps!!!!

Answer:

a

Step-by-step explanation:

Answer:

i don't get the question

Step-by-step explanation:

Answer:

Step-by-step explanation:

A

Answer:

[tex]\frac{dw}{dr} = \frac{8\cdot r}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex], [tex]\frac{dw}{ds} = \frac{10\cdot s}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex], [tex]\frac{dw}{dt} = -\frac{2\cdot t}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex]

Step-by-step explanation:

We proceed to derive each expression by rule of chain. Let be [tex]w = \ln (x+2\cdot y + 3\cdot z)[/tex], [tex]x = r^{2}+t^{2}[/tex], [tex]y = s^{2}-t^{2}[/tex] and [tex]z = r^{2}+s^{2}[/tex]:

[tex]\frac{dw}{dr} = \frac{\frac{dx}{dr}+2\cdot \frac{dy}{dr} +3\cdot \frac{dz}{dr} }{x+2\cdot y + 3\cdot z}[/tex]

[tex]\frac{dx}{dr} = 2\cdot r[/tex]

[tex]\frac{dy}{dr} = 0[/tex]

[tex]\frac{dz}{dr} = 2\cdot r[/tex]

[tex]\frac{dw}{dr} = \frac{8\cdot r}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]

[tex]\frac{dw}{dr} = \frac{8\cdot r}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (1)

[tex]\frac{dw}{ds} = \frac{\frac{dx}{ds}+2\cdot \frac{dy}{ds} +3\cdot \frac{dz}{ds} }{x+2\cdot y + 3\cdot z}[/tex]

[tex]\frac{dx}{ds} = 0[/tex]

[tex]\frac{dy}{ds} = 2\cdot s[/tex]

[tex]\frac{dz}{ds} = 2\cdot s[/tex]

[tex]\frac{dw}{ds} = \frac{10\cdot s}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]

[tex]\frac{dw}{ds} = \frac{10\cdot s}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (2)

[tex]\frac{dw}{dt} = \frac{\frac{dx}{dt}+2\cdot \frac{dy}{dt} +3\cdot \frac{dz}{dt} }{x+2\cdot y + 3\cdot z}[/tex]

[tex]\frac{dx}{dt} = 2\cdot t[/tex]

[tex]\frac{dy}{dt} = -2\cdot t[/tex]

[tex]\frac{dz}{dt} = 0[/tex]

[tex]\frac{dw}{dt} = -\frac{2\cdot t}{(r^{2}+t^{2})+2\cdot (s^{2}-t^{2})+3\cdot (r^{2}+s^{2})}[/tex]

[tex]\frac{dw}{dt} = -\frac{2\cdot t}{4\cdot r^{2}-t^{2}+5\cdot s^{2}}[/tex] (3)

Answer:

7,6 .   5,8 .   2,3 .    1,4

Step-by-step explanation:

Vertical angles are angles opposite to each other when a line cuts through an angle. my answer supports it

Answer:

-12 is the common differences

Answer:

15 students whose name begins with N

Step-by-step explanation:

This is not a valid representative sample.

Answer:

4+

Step-by-step explanation:

Answer: Y=83

Step-by-step explanation:

Answer:

y = 92

Step-by-step explanation:

plug in x = 27 into the equation y = 3x + 11,

y = 3(27) + 11

=> y = 81 + 11

=> y = 92

Answer:

0

Step-by-step explanation:

the initial value is just the base line

Answer:

choice 4) -3x = 4y

Step-by-step explanation:

-3(-4) = 4(-3)

12 ≠ -12

Answer:

-3x=4y

Step-by-step explanation:

if u do that equation it would equal 12=-12

Answer:

Step-by-step explanation:

There are 4 colors and if the sum of the probabilities involves all those colors, then it equals to 1.

Calculation as below:

The sum is:

Answer:

x = 15

Step-by-step explanation:

If ABC similar to EDC then we can use the similarity ratio to find the value of x

32/(3x-5) = 56/(5x-5) cross multiply the fractions

160x - 160 = 168x - 280 export like terms to the same side of the equation

280 - 160 = 168x - 160x

120 = 8x divide both sides by 8

15 = x

Step-by-step explanation:

I don't really understand. Comment the question without "lesson/session/cancel/done" bc it's ALL confusing

The common side length of the rectangular paintings on the wall that having area of 24ft and 32ft  is 8 feet.

There are numerous methods for calculating the length of a rectangle. If you have an area A and a width w, the length w is calculated as h = A/w. If you know the perimeter P and the width w, you can calculate the length h = P/2w.

The area of any quadrilateral can be calculated by multiplying its base length by its height. We know that all sides are equal length because the shape is square. Working backwards, we can find the length of one side by taking the square root of the area.

The given parameters are

Area of painting 1 = 24 square feet

Area of painting 2 = 32 square feet

Express the areas as the product of their factors

So, we have

24 = 2 * 2 * 2 * 3

32 = 2 * 2 * 2 * 4

Multiply the common factors

Common factors =2 * 2 * 2

Evaluate the product

Common factors = 8

This represents the common side length

Hence, the common side length of the paintings is 8 feet

To learn more about Side length refer :

https://brainly.com/question/24487155

#SPJ2

Answer:

6/8>7/12

Step-by-step explanation:

6/8>7/12

36/48>28/48

I think

Answer:

Step-by-step explanation:

Square footage. ft². lock autosave. If you need to calculate the square footage of the floor's area, check out our square footage calculator.

Answer:

The answer is C. Right

Answer:

y-intercept = ( 0,0.4)

x-intercept = ( 0.3,0)

Step-by-step explanation:

By inspection from the given graph

Answer:

y-int = (0,.4)

x-int = (.3,0)

Answer:

32

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

If evaluated this is the answer!