Charlotte and Edgar's ages add up to 22. Charlotte is one year

The Chocolate Shoppe has a rectangular logo for their business that

tigry1 [53]

The equation that calculates the unknown side length, M of the Chocolate Shoppe rectangular logo is A = 3.1H

<h3>How to determine the equation?</h3>

The parameters in the question are:

Logo: Rectangle
Height, H = 3 1/10 feet

Represent the area of the logo with A, and L represents the unknown side

The area (A) of the rectangle is calculated using:

A = H * L

Substitute 3 1/10 for H

A = 3 1/10 * H

Express the fraction as decimal

A = 3.1H

Hence, the equation that could be used to determine the unknown side length, M of the logo is A = 3.1H

Read more about areas at:

brainly.com/question/24487155

3 0

2 years ago

A manufacturer knows that their items have a normally distributed length, with a mean of 15.4 inches, and standard deviation of

Masteriza [31]

Answer:

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

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 $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

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

Mean of 15.4 inches, and standard deviation of 3.5 inches.

This means that $\mu = 15.4, \sigma = 3.5$

16 items are chosen at random

This means that $n = 16, s = \frac{3.5}{\sqrt{16}} = 0.875$

What is the probability that their mean length is less than 16.8 inches?

This is the p-value of Z when X = 16.8. So

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

By the Central Limit Theorem

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

$Z = \frac{16.8 - 15.4}{0.875}$

$Z = 1.6$

$Z = 1.6$ has a p-value of 0.9452.

0.9452 = 94.52% probability that their mean length is less than 16.8 inches.

5 0

3 years ago

Find the area of this figure

barxatty [35]

Answer:

165

Step-by-step explanation:

Put the extra half rectangle in the empty space. It will end up being a perfect rectangle, then you did the area like you usually do..:

22 x 7.5.

=165

Good luck, hope i helped

6 0

2 years ago

Read 2 more answers

Write an equation of the line that passes through (−5, −2)(−5, −2) and is parallel to y=23x+1y=23x+1.

Klio2033 [76]

Assuming you meant 2/3
y=2/3x+1 and (-5,-2)

paralell means same slope
y=mx+b
m=slope

y=2/3x+1
sllope=2/3

point slope
y-y1=m(x-x1)
for slope=m
a point is (x1,y1)

slope=2/3
point=(-5,-2)

y-(-2)=2/3(x-(-5))
y+2=2/3(x+5)
or
y=2/3x+16/3

7 0

3 years ago

Determine the slope of a

AysviL [449]

Answer:

m = 3/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS