Which box-and-whisker plot represents this data

Answers

Answer 1

Answer: The fist box and whisker plot correctly represents the data

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What is the value of -3 2/3 divide 1/3?

Answers

Answer:

-11

Step-by-step explanation:

-3 2/3 divide 1/3

-11/3 / 1/3

-11/3 *3/1=-33/3 = -11

Find 2 consecutive odd integers such that the sum of twice the larger integer and the smallest integer is 85.

Answers

Answer: Find an answer to your question Find 2 consecutive odd integers such that the sum of twice the larger integer and the smallest integer is 85.

Step-by-step explanation:

The percent of fat calories that a person consumes each day is normally distributed with a mean of 35 and a standard deviation of 10. Suppose that 16 individuals are randomly chosen. Let X = average percent of fat calories. (a) For the group of 16 individuals, find the probability that the average percent of fat calories consumed is more than thirty-seven. (Round your answer to four decimal places.) b) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) percent of fat calories

Answers

Answer:

a) 0.2119 = 21.19% probability that the average percent of fat calories consumed is more than thirty-seven.

b) The first quartile for the average percent of fat calories is 33.31

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 are 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:

$Z = (X - \mu)/(\sigma)$

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 $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = (\sigma)/(√(n))$

In this problem, we have that:

$\mu = 35, \sigma = 10, n = 16, s = (10)/(√(16)) = 2.5$

(a) For the group of 16 individuals, find the probability that the average percent of fat calories consumed is more than thirty-seven. (Round your answer to four decimal places.)

This is the 1 subtracted by the pvalue of Z when X = 37. So

$Z = (X - \mu)/(\sigma)$

By the Central Limit Theorem

$Z = (X - \mu)/(s)$

$Z = (37 - 35)/(2.5)$

$Z = 0.8$

$Z = 0.8$ has a pvalue of 0.7881

1 - 0.7881 = 0.2119

0.2119 = 21.19% probability that the average percent of fat calories consumed is more than thirty-seven.

b) Find the first quartile for the average percent of fat calories. (Round your answer to two decimal places.) percent of fat calories

The 1st quartile is the 25th percentile. So this is the value of X when Z has a pvalue of 0.25. So it is X when Z = -0.675. So

$Z = (X - \mu)/(s)$

$-0.675 = (X - 35)/(2.5)$

$X - 35 = -0.675*2.5$

$X = 33.31$

The first quartile for the average percent of fat calories is 33.31

I also need answers to this before 8pm

-geometry

Answers

Answer:

Step-by-step explanation:

JL = LG/2 -->

16 = LG/2 -->

32 = LG

I believe LG is 16 because since it’s a parallelogram HK bisects JG

4^-1+2^-3
simplify !!!

Answers

Answer:

3/8 (decimal = 0.375)

Step-by-step explanation:

apply exponent rule

= 1/4 + 2^-3

= 1/4 + 1/2^3

= 1/4 + 1/8

least common deno

= 2/8 + 1/8

= 3/8

What is the first step in using the square root property?

Answers

Answer: Isolate the term that contains the squared variable. Then, take the square root of both sides and solve.

Step-by-step explanation:

To solve an equation by using the square root property, you will first isolate the term that contains the squared variable. You can then take the square root of both sides and solve for the variable. Make sure to write the final answer in simplified form.

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