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Naddik [55]
2 years ago
9

A data set is normally distributed with a mean of 27 and a standard deviation of 3.5. Find the z-score for a value of 25, to the

nearest hundredth.
Mathematics
1 answer:
e-lub [12.9K]2 years ago
7 0

Answer:

z score = .2843

Step-by-step explanation:

25 is 2 below 27

   this is  2/3.5 = .5714  S.D. below mean

      z-score  . 2843

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Answer: First, you need to figure out 22 times 2 = 44. Then, you need to multiply the original ratio by 44 to get the answer.

Step-by-step explanation:

3 0
3 years ago
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The width of a rectangle is the length minus 3 units. The area of the rectangle is 54 units. What is the width, in units, of a r
saul85 [17]

Width of the rectangle is 9 units

Step-by-step explanation:

  • Step 1: Let the width of the rectangle be x. Then the length = x - 3. Find dimensions of the rectangle if its area = 54 sq. units

Area of the rectangle = length × width

54 = x (x - 3)

54 = x² - 3x

x² - 3x - 54 = 0

x² + 6x - 9x - 54 = 0 (Using Product Sum rule to factorize)

x(x + 6) - 9(x + 6) = 0

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x = -6, 9 (negative value is neglected)

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4 0
4 years ago
Make f the subject of the formula c=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%28f-32%29%7D%7B9%7D" id="TexFormula1" title="\
lara31 [8.8K]

Answer:

f=\frac{9c}{5}+32

Step-by-step explanation:

c=\frac{5\left(f-32\right)}{9}

Switch sides:

\frac{5\left(f-32\right)}{9}=c

Multiply both sides by 9:

\frac{9\times5\left(f-32\right)}{9}=9c

5\left(f-32\right)=9c

Divide both sides by 5:

\frac{5\left(f-32\right)}{5}=\frac{9c}{5}

f-32=\frac{9c}{5}

Add 32 to both sides:

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f=\frac{9c}{5}+32

8 0
4 years ago
Whts the solution from this?
Marina CMI [18]
If that’s the right equation... hopefully this helps

6 0
4 years ago
A container shaped as a rectangular prism can hold 756 wooden cube blocks with edge lengths of 13 ft.
pychu [463]

Answer:

the volume of the container is 28\ ft^{3}

Step-by-step explanation:

we know that

To find the volume of the container calculate the volume of one wooden cube block and multiply by 756

The volume of one cube is equal to

V=(1/3)^{3}= (1/27)\ ft^{3}

the volume of the container is equal to

V=(1/27)*756=28\ ft^{3}

4 0
3 years ago
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