Leah likes to walk her dog on the walkway over the hudson. If she walks across and back, how far will she and her dog walk

Is this a function? yes or no <br><br><br> picture included ^^^^

aliya0001 [1]

Answer:

Yes this is a function because when doing the straight line test it doesn't touch it two or more times.

8 0

2 years ago

In the past you paid 800 per month to rent your apartment. You now pay 900 per month for your rent. What is the percent increase

Lena [83]

I think the answer to this question is 10% but I don’t know if it’s right

3 0

3 years ago

The inside diameter of a randomly selected piston ring is a random variable with mean value 8 cm and standard deviation 0.03 cm.

S_A_V [24]

Answer:

a) P(7.99 ≤ X ≤ 8.01) = 0.8164

b) P(X ≥ 8.01) = 0.0475.

Step-by-step explanation:

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

Normal probability distribution:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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 pvalue, 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 random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean

In this problem, we have that:

$\mu = 8, \sigma = 0.03$

(a) Calculate P(7.99 ≤ X ≤ 8.01) when n = 16.

n = 16, so $s = \frac{0.03}{4} = 0.0075$

This probability is the pvalue of Z when X = 8.01 subtracted by the pvalue of Z when X = 7.99. So

X = 8.01

$Z = \frac{X - \mu}{\sigma}$

Applying the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.01 - 8}{0.0075}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082

X = 7.99

$Z = \frac{X - \mu}{s}$

$Z = \frac{7.99 - 8}{0.0075}$

$Z = -1.33$

$Z = -1.33$ has a pvalue of 0.0918

0.9082 - 0.0918 = 0.8164

P(7.99 ≤ X ≤ 8.01) = 0.8164

(b) How likely is it that the sample mean diameter exceeds 8.01 when n = 25? P(X ≥ 8.01) =

n = 25, so $s = \frac{0.03}{5} = 0.006$

This is 1 subtracted by the pvalue of Z when X = 8.01. So

$Z = \frac{X - \mu}{s}$

$Z = \frac{8.01 - 8}{0.006}$

$Z = 1.67$

$Z = 1.67$ has a pvalue of 0.9525

1 - 0.9525 = 0.0475

P(X ≥ 8.01) = 0.0475.

4 0

3 years ago

THE TEACHER WONT HELP ☺️ pls

Readme [11.4K]

answer:

2/5=0.4

2/5=40%

step-by-step explanation:

to get 2/5 as a decimal you can simply just divide 2÷5 which is 0.4

and from there you can use 0.4 to find the percentage multiply 0.4 x 100 which is 40

good luck :)

hopefully, this helps

have a great day !!

4 0

3 years ago

A pencil holder contains only six blue pencils and three red pencils. If two pencils are drawn at random, what is the probabilit

erastova [34]

6 blue pencils and 3 red pencils means 9 total pencils. So the probability of pulling out ONE blue pencil would be 6/9 or about 67 percent. TWO blue pencils would be HALF of that. So 6/9 * 1/2 which is 6/18 or 1/3 or about 33 percent.

6 0

3 years ago