Mulitply (x + 5)(2x

Donna makes $9.75 per hour at her job. Kaylee makes $4 per hour at her job, and she receives a $0.25 raise each month. Which ine

n200080 [17]

<h2>Answer:</h2><h2>Option D is the correct answer, 4 + 0.25x ≤ 9.75</h2>

Step-by-step explanation:

Donna earns per hour at her job = $9.75

Kaylee earns per hour at her job = $4

and she receives a raise each month = 0.25x

Kaylee's total earning = 4 + 0.25x

Comparing both the person's earning,

to find the number of months it will take for Kaylee to earn at least as much as Donna per hour is,

atleast as much as represents less than or equal to

Option D, 4 + 0.25x ≤ 9.75

5 0

4 years ago

George had 1 sheet of paper.He cuts it into 6 inches by 5 inches,and 3 inches by 6 inches.What were the dimension and total area

7nadin3 [17]

Answer:

A. 8 inches by 6 inches.

B. $48\text{ inches}^{2}$ .

Step-by-step explanation:

We have been given that George had 1 sheet of paper. He cuts it into 6 inches by 5 inches and 3 inches by 6 inches.

We can see that two dimensions of small parts of paper sheet have one dimension same (6 inches), therefore, one dimension of original sheet of paper will be 6 inches.

We can figure out second dimension of original paper sheet by adding the lengths of dimension other than 6. So the second dimension will be 8 inches (5+3).

Therefore, the dimensions of our original sheet will be 8 inches by 6 inches.

Now let us figure out the total area of the original sheet of paper by multiplying 8 by 6.

$\text{The total area of the original sheet of paper}=8\text{ inches}\times 6\text{ inches}$

$\text{The total area of the original sheet of paper}=48\text{ inches}^{2}$

Therefore. the area of original sheet of paper will be $48\text{ inches}^{2}$ .

7 0

4 years ago

A manufacturer makes chocolate squares that have a target weight of 8 g. Quality control engineers sample 30 chocolate squares t

posledela

Using the <em>normal distribution and the central limit theorem</em>, it is found that the power of the test is of 0.9992 = 99.92%.

<h3>Normal Probability Distribution</h3>

In a normal distribution with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

It 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, which is the percentile of X.

By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

In this problem:

The mean is $\mu = 8.5$ .

The standard deviation is $\sigma = 0.87$ .

A sample of 30 is taken, hence $n = 30, s = \frac{0.87}{\sqrt{30}} = 0.1588$ .

The power of the test is given by the probability of a sample mean above 8, which is <u>1 subtracted by the p-value of Z when X = 8</u>, so:

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

By the Central Limit Theorem:

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

$Z = \frac{8 - 8.5}{0.1588}$

$Z = -3.15$

$Z = -3.15$ has a p-value of 0.0008.

1 - 0.0008 = 0.9992.

The power of the test is of 0.9992 = 99.92%.

To learn more about the <em>normal distribution and the central limit theorem</em>, you can check brainly.com/question/24663213

5 0

3 years ago

Please help with questions 1-5 with answer 5 write in complete sentences

Alekssandra [29.7K]

For #1 you need 8 pounds of apples

6 0

4 years ago

Read 2 more answers

|(a + b)x + y = 4<br> |x + (a - b)y + 10

leonid [27]

I don't know the answer but try using PEMDAS. (Parentheses, Exponents, Multiplication, Division, Addition, and then Subtraction)

4 0

3 years ago

Mulitply (x + 5)(2x - 6)