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OLEGan [10]
2 years ago
15

In a statistics class, students were asked how many siblings they have. Their responses are shown. 2, 3, 1, 3, 5, 3, 3, 3, 6, 3,

5, 0, 3
What is the z-score for the student with two siblings?
A. –0.67
B. –0.13
C. 0.13
D. 0.67
Mathematics
1 answer:
lbvjy [14]2 years ago
4 0

Answer:

C as there is only 1 student with 2 siblings.

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Reduce the fraction -20t5u2v3 / 48t7u4v .
kondor19780726 [428]
Deal with the numbers and variables step by step 

-20/48  = -5/12
t5 / t7 = t^-2 = 1 /t2
u^2 / u^4 = u^-2 = 1/u^2
v^3 / v = v^2

so answer is      -5v^2 / 12t^2u^2
6 0
3 years ago
A 1.5-mm layer of paint is applied to one side of the following surface. Find the approximate volume of paint needed. Assume tha
Mariulka [41]

Answer:

V = 63π / 200  m^3

Step-by-step explanation:

Given:

- The function y = f(x) is revolved around the x-axis over the interval [1,6] to form a spherical surface:

                                 y = √(42*x - x^2)

- The surface is coated with paint with uniform layer thickness t = 1.5 mm

Find:

The volume of paint needed

Solution:

- Let f be a non-negative function with a continuous first derivative on the interval [1,6]. The Area of surface generated when y = f(x) is revolved around x-axis over the interval [1,6] is:

                           S = 2*\pi \int\limits^a_b { [f(x)*\sqrt{1 + f'(x)^2} }] \, dx

- The derivative of the function f'(x) is as follows:

                            f'(x) = \frac{21-x}{\sqrt{42x-x^2} }

- The square of derivative of f(x) is:

                            f'(x)^2 = \frac{(21-x)^2}{42x-x^2 }

- Now use the surface area formula:

                           S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2} *\sqrt{1 + \frac{(21-x)^2}{42x-x^2 } }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2+(21-x)^2} }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{42x-x^2+441-42x+x^2} }] \, dx\\\\S = 2*\pi \int\limits^6_1 { [\sqrt{441} }] \, dx\\S = 2*\pi \int\limits^6_1 { 21} \, dx\\\\S = 42*\pi \int\limits^6_1 { dx} \,\\\\S = 42*\pi [ 6 - 1 ]\\\\S = 42*5*\pi \\\\S = 210\pi

- The Volume of the pain coating is:

                           V = S*t

                           V = 210*π*3/2000

                          V = 63π / 200 m^3

8 0
3 years ago
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WINSTONCH [101]

Answer:

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Step-by-step explanation:

7/12(7)

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3 years ago
9=4t t=? i need help
Sergeu [11.5K]

Answer:

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Step-by-step explanation:

You want to find out what t is.

If 4t = 9, the how much is t?

First step is to divide 9 by 4.

When you divide 9 by 4, you find out how much t is.

When you divide 9 by 4, you get 2.25, or 2 1/4

4 0
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The sum of 5 times a number and 3 is 7.
Nesterboy [21]

Answer:

5y+3=7

Step-by-step explanation:

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