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3 years ago

Correct and best explained answer gets brainliest. :)

Mathematics

2 answers:

kodGreya [7K]3 years ago

6 0

The question asks that y is equal to 0. So the equation should be 0 = x² - 64. Now you can use the addition property of equality by adding 64 to both sides. This gives you x² = 64. Now, to find x, you need to find the root of 64, which is √64. However this can be simplified to a whole number 8. However, this isn't it. The answer actually can be 8 or -8, because -8² = 64 as well, because a negative multiplied by a negative is a positive. So your answer would be B. 8 or -8. Hope this helps. Feel free to ask questions about my explanation or any other questions you have.

son4ous [18]3 years ago

3 0

Y = x^2 - 64
x^2 - 64 = 0
x^2 = 64
x^2 = 8^2
x = 8 and x = -8
answer is B. x = 8 and x = -8

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In a population distribution, a score of x=57 corresponds to z=-0.25 and a score of x=87 corresponds to z=1.25. Find the mean an

Serggg [28]

Here is dependence between scores and x-values:

$Z_i=\dfrac{X_i-\mu}{\sigma},$

where $\mu$ is the mean, $\sigma$ is standard deviation and i changes from 1 to 2.

1. When i=1, $Z_1=-0.25,\ X_1=57,$ then

$-0.25=\dfrac{57-\mu}{\sigma}.$

2. When i=2, $Z_2=1.25,\ X_2=87,$ then

$1.25=\dfrac{87-\mu}{\sigma}.$

Now solve the system of equations:

$\left\{\begin{array}{l}-0.25=\dfrac{57-\mu}{\sigma}\\ \\1.25=\dfrac{87-\mu}{\sigma}.\end{array}\right.$

$\left\{\begin{array}{l}-0.25\sigma=57-\mu\\ \\1.25\sigma=87-\mu.\end{array}\right.$

Subtract first equation from the second:

$1.25\sigma-(-0.25\sigma)=87-57,\\ \\1.5\sigma=30,\\ \\\sigma=20.$

Then

$1.25=\dfrac{87-\mu}{20},\\ \\87-\mu=25,\\ \\\mu=87-25=62.$

Answer: the mean is 62, the standard deviation is 20.

3 0

3 years ago

Read 2 more answers

How much are 10 australian dollars worth in Canadian dollars

cupoosta [38]

Answer: 8.94

Step-by-step explanation:

6 0

2 years ago

Working together, it takes two computers 20 minutes to send out a company's email. If it takes the slower computer 45 minutes to

11Alexandr11 [23.1K]

Answer:

36 minutes

Step-by-step explanation:

Let the productivity of slower computer is x bits/min

That means Slower computer in 45 minutes sends x*45 bits= company's email

Let the productivity of faster computer is y bits/min

That means that working together slower and faster computers send

x*20+y*20= company's email or

x*20+y*20=x*45

x*25=y*20

y/x=25/20= 1,25

That means that faster computer sends the mails 1.25 times faster than slower computer

So faster computer will need in 1.25 times lees time than slower computer to do this job

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3 years ago

16 points answer please and thank you

saveliy_v [14]

37 is the correct answer

4•37+2=150

7 0

2 years ago

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a company that manufactures and ships canned vegetables is designing boxes in the shape of rectangular prisms to meet specific r

sertanlavr [38]

In order to find the smallest amount of cardboard needed, you need to find the total surface area of the rectangular prism.

Therefore, you need to understand how the cans are positioned in order to find the dimensions of the boxes: two layers of cans mean that the height is
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The other two dimensions depend on how many rows of how many cans you decide to place, the possibilities are 1×12, 2×6, 3×4, 4×3, 6×2, 12×1.
The smallest box possible will be the one in which the cans are placed 3×4 (or 4×3), therefore the dimensions will be:
a = 3 · 3 = 9in
b = 3 <span>· 4 = 12in

Now, you can calculate the total surface area:
A = 2</span>·(a·b + a·h + b·h)
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Hence, the smallest amount of carboard needed for the boxes is 636 square inches.

7 0

3 years ago