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2 years ago

Which expression is a way to represent the ratio of a to b?

Mathematics

1 answer:

kiruha [24]2 years ago

4 0

It’s 35 and 23 and also it can be mans at the the cakes

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Weights of American adults are normally distributed with a mean of 180 pounds and a standard deviation of 8 pounds. What is the

ahrayia [7]

Answer:

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

Step-by-step explanation:

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:

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

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.

In this problem, we have that:

$\mu = 180, \sigma = 8$

What is the probability that a randomly selected individual will be between 185 and 190 pounds?

This probability is the pvalue of Z when X = 190 subtracted by the pvalue of Z when X = 185. So

X = 190

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

$Z = \frac{190 - 180}{8}$

$Z = 1.25$

$Z = 1.25$ has a pvalue of 0.8944

X = 185

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

$Z = \frac{185 - 180}{8}$

$Z = 0.63$

$Z = 0.63$ has a pvalue of 0.7357

0.8944 - 0.7357 = 0.1587

15.87% probability that a randomly selected individual will be between 185 and 190 pounds

3 0

2 years ago

On a test, Shoshana got 65% or 23.4 of the items correct? How many items were on the test?

Marizza181 [45]

65 % ------------------ 23.4 items
100 % ----------------- x items
65 : 100 = 23.4 : x
65 x = 100 * 23.4
65 x = 2340
x = 2340 : 65
x = 36
Answer: there were 36 items on the test.

6 0

2 years ago

Read 2 more answers

18) through: (-3,-3), parallel to y = -x + 3

otez555 [7]

Step-by-step explanation:

y + 3 = - (x + 3)

y + 3 = -x - 3

y = -x - 6

6 0

3 years ago

Which best describes the transformation that occurs from the graph of f(x)=x^2 to g(x)=(x-2)^2+3??

Leokris [45]

answer right 2, up 3

any function with the following form is a transformation from f(x) = x²

g(x) = (x – a)² + b

were a moves the function to the right when a is a positive number and to the left when its a negative number, and b moves the function up when b is positive and down when its negative.

then for a=2 positive and b=3 positive, we have

right 2, up 3

3 0

2 years ago

Solve the inequality below for x. -3.2(2x-1) less than or equal to 17.6

zhenek [66]

$- 3.2(2x - 1) \leqslant 17.6 \\ - 6.4x + 3.2 \leqslant 17.6 \\ - 6.4x \leqslant 14.4 \\ x \geqslant 2.25$

3 0

3 years ago