You plan to make cakes. Each cake requires 1 1/4 cup of sugar. You have 7 1/3 cups of sugar. How many cakes can you make

What value added to x2 − 8x would complete the square?

Mazyrski [523]

X^2 - 8x = (x - 4)^2 - 16

we add 16 to give x^2 - 8x + 16 which is a perfect square

x^2 - 8x + 16 = (x - 4)^2

answer is 16

7 0

3 years ago

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12.) What is the value of x in the figure?

Maksim231197 [3]

What figure are we looking for?

3 0

3 years ago

true or false If x represents a random variable with mean 114 and standard deviation 40, then the standard deviation of the samp

Goshia [24]

Answer:

$\mu = 114, \sigma = 40$

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation for the sampling distribution would be:

$\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4$

So then the answer is TRUE

Step-by-step explanation:

Let X the random variable of interest and we know that the true mean and deviation for this case are given by:

$\mu = 114, \sigma = 40$

We also know that we select a sample size of n =100 and on this case since the sample size is higher than 30 we can apply the central limit theorem and the distribution for the sample mean would be given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

And the standard deviation for the sampling distribution would be:

$\sigma_{\bar X}= \frac{40}{\sqrt{100}}= 4$

So then the answer is TRUE

6 0

3 years ago

Carmen lives in Maine and pays 5% in sales tax. She just bought $70 in

galina1969 [7]

Answer:

The correct answer is option A.

Step-by-step explanation:

Let's start by analyzing the information we have.

We know that Carmen pays 5% tax on everything she buys, and has made a purchase of $ 70.

But they also tell us that there is $ 25 of that purchase that will not be charged with taxes.

Therefore, what will be charged with taxes will be:

70-25 = 45

Now we must know how much is 5% of 45 and that we can find out by multiplying 45 by 0,05:

45.0,05 = 2,25

Now that we know that the tax was 2.25, we just have to add it to the total purchase to find out how much Carmen paid:

2.25 + 70 = 72.25

Therefore, the total value of the purchase is 72.25.

8 0

3 years ago

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Your baseball team has a goal to collect at least 160 blankets for a shelter. Team members brought 42 blankets on Monday and 65

Ad libitum [116K]

107 that’s the number added up if your asking that

3 0

3 years ago