I need hlep on my homework please help thx

What is the difference between a constant and a variable

denis-greek [22]

Answer:

A constant is a number that stays the same. A variable is number that doesn't remain the same.

7 0

3 years ago

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Penelope buys bracelets in bulk at a cost of $8 each to sell at her store. She uses a markup of 125%, which is added to the brac

navik [9.2K]

The correct answer is A. $18

8 x 125% or 8 x 1.25 = 10

Add $10 to $8 and you get $18

3 0

3 years ago

An Epson inkjet printer ad advertises that the black ink cartridge will provide enough ink for an average of 245 pages. Assume t

Neko [114]

Answer:

35.2% probability that the sample mean will be 246 pages or more

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 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.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

In this question, we have that:

$\mu = 245 \sigma = 15, n = 33, s = \frac{15}{\sqrt{33}} = 2.61$

What the probability that the sample mean will be 246 pages or more?

This is 1 subtracted by the pvalue of Z when X = 246. So

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

By the Central Limit Theorem

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

$Z = \frac{246 - 245}{2.61}$

$Z = 0.38$

$Z = 0.38$ has a pvalue of 0.6480.

1 - 0.6480 = 0.3520

35.2% probability that the sample mean will be 246 pages or more

4 0

3 years ago

The graph shows the amount of money paid when purchasing bags of peanuts at the zoo: What is the constant of proportionality? (4

jolli1 [7]

Answer:

The constant of proportionality is equal to 4

Step-by-step explanation:

The picture of the question in the attached figure

Let

y ----> the total cost in dollars

x ----> the number of bags of peanuts

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

To find out the constant of proportionality, we need to take one point from the graph

take the point (1,4)

Find the value of k

$k=\frac{y}{x}$

substitute the value of x and the value of y

$k=\frac{4}{1}=\$4\ per bag$

6 0

3 years ago

April had 3 7 of a pound of pecans. her sister ate 2 3 of april's pecans. how many pounds of pecans did april's sister eat?

RideAnS [48]

April had 3/7 of a pound of pecans. Her sister ate 2/3 of April's pecans. How many pounds of pecans did April's sister eat?

Answer:2/7

Explaining 3/7 x 2/3 = 621 = 2/7
Good Luck! :)

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3 years ago

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I need hlep on my homeworkplease helpthx