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3 years ago

Range of scores making up the interquartile ranger

1 answer:

4 0

For a standard normally distributed random variable Z (with mean 0 and standard deviation 1), we get a probability of 0.0625 for a z-score of Z ≈ 1.53, since

P(Z ≥ 1.53) ≈ 0.9375

You can transform any normally distributed variable Y to Z using the relation

Z = (Y - µ) / σ

where µ and σ are the mean and standard deviation of Y, respectively.

So if s is the standard deviation of X, then

(250 - 234) / s ≈ 1.53

Solve for s :

16/s ≈ 1.53

s ≈ 10.43

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The ratio of the circumference of two circles is 3:2.What is the ratio of their area

Nezavi [6.7K]

The ratio of their area is 9/4

<h2>Explanation:</h2>

We use ratios to compares values. In this exercise, we are comparing the circumference of two circles, which is:

$3:2$

and we want to know what is the ratio of their area. Recall that the circumference of a circle is given by:

$C=2\pi r \\ \\ \\ Where: \\ \\ C:Circumference \\ \\ r:Radius \ of \ the \ circle$

If we define:

$C_{1}: \ Circumference \ of \ circle \ 1 \\ \\ C_{2}: \ Circumference \ of \ circle \ 2 \\ \\ r_{1}: \ Radius \ of \ circle \ 1 \\ \\ r_{2}: \ Radius \ of \ circle \ 2$

Then, the ratio of the circumference of two circles is 3:2 is:

$\frac{C_{1}}{C_{2}}=\frac{2\pi r_{1}}{2\pi r_{2}}=\frac{3}{2} \\ \\ \therefore \frac{r_{1}}{r_{2}}=\frac{3}{2}$

The area of a circle is given by:

$A=\pi r^2 \\ \\ A:Area \\ \\ r:Radius$

So the ratio of their area can be found as:

$\frac{A_{1}}{A_{2}}=\frac{\pi r_{1}^2}{\pi r_{2}^2} \\ \\ \\ A_{1}:Area \ of \ circle \ 1 \\ \\ A_{2}:Area \ of \ circle \ 2$

So:

$\frac{A_{1}}{A_{2}}=\frac{r_{1}^2}{r_{2}^2}=\left( \frac{r_{1}}{r_{2}} \right)^2 \\ \\ \frac{A_{1}}{A_{2}}=\left(\frac{3}{2}\right)^2 \\ \\ \boxed{\frac{A_{1}}{A_{2}}=\frac{9}{4}}$

<h2>Learn more:</h2>

Unit rate: brainly.com/question/13771948#

#LearnWithBrainly

5 0

3 years ago

Consider the following 8 numbers, where one labelled x

zvonat [6]

Step-by-step explanation:

The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.

we see that the visible 7 numbers have a range of 50-17 = 33.

that means that x has to make sure that the range really is 69.

so, we have indeed 2 choices : x can be the lowest value (with a difference of 69 to the highest value, 50), or x can be the highest value (with a difference of 69 to the lowest value, 17).

x as the lowest value :

x = 50 - 69 = -19

x as the highest value :

x = 17 + 69 = 86

5 0

2 years ago

Pratctice and Solving Solve each equation with variables on both sides 1. 6x - 2 = x + 13

IrinaK [193]

Answer:

x=3

Step-by-step explanation:

6x - 2 = x + 13

subtract 1x from both sides

5x - 2 = 13

isolate the 5x by adding 2 to both sides

5x = 15

finnaly devide both by 5

x = 3

8 0

2 years ago

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Based on the audio, what is an activity Carlos doesn't do every morning?

GREYUIT [131]

Do ph and probably cheat

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2 years ago

Lisa walks from her bus stop to Matt's house, and they walk together to the bus stop. Then, Lisa and Matt take the bus to school

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I need the answer too lol

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3 years ago