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Gnom [1K]
3 years ago
8

9. Find the volume of the sphere if the radius is 12.4 in. Round to the nearest tenth.

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
6 0

Answer:

V=7982.4 in

Step-by-step explanation:

V=4/3pi*r^3

V=4/3pi*12.4^3

V=4/3pi*1906.62

V=7626.48/3pi

V=2542.16pi

V=2542.16*3.14

V=7982.4

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F(x) = 3x + 9, find f^-1(x)
lianna [129]

Answer:

y=x-9/3

Step-by-step explanation:

f(x)=3x+9

let f(x)=y

y=3x+9

change position of x & y

x=3y+9

rearrange:

x-9=3y

y=x-9/3

6 0
3 years ago
Find the area of the composite figure. <br><br>A=36cm<br><br>A=40cm<br><br>A=48cm<br><br>A=64cm​
MissTica

Check the picture below.

so the shape is really 4 triangles with a base of 2 and a height of 4 each, and 2 squares tha are 4x4.

\bf \stackrel{\textit{area of the 4 triangles}}{4\left[\cfrac{1}{2}(2)(4) \right]}~~+~~\stackrel{\textit{area of the two squares}}{2(4\cdot 4)}\implies 16+32\implies 48

8 0
3 years ago
Emily gets 9n a Ferris wheel at its lowest point which is 10 feet above the ground. She notices that she is 50 feet above the gr
navik [9.2K]

Answer:

Step-by-step explanation:

divided all the number

3 0
3 years ago
Mr. Acosta, a sociologist, is doing a study to see if there is a relationship between the age of a young adult (18 to 35 years o
Alik [6]

Answer:

There is a relationship between the age of a young adult and the type of movie preferred.

Step-by-step explanation:

In this case we need to test whether there is a significance relationship between the age of a young adult and the type of movie preferred.

The hypothesis can be defined as:

<em>H₀</em>: Age of a young adult and movie preference are independent.

<em>Hₐ</em>: Age of a young adult and movie preference are not independent.

The test statistic is given as follows:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}

Consider the table below.

The formula to compute the expected frequencies is:

E_{i}=\frac{\text{Row Total}\times \text{Column Total}}{\text{Total}}

The Chi-square test statistic value is:

\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}=2.6013

The significance level of the test is, <em>α</em> = 0.05.

The degrees of freedom of the test is,

df = (r - 1)(c - 1)

   = (3 - 1)(3 - 1)

   = 2 × 2

   = 4

Compute the <em>p</em>-value as follows:

<em>p</em>-value = 0.6266

*Use a Chi square table.

As the <em>p-</em>value is more than the significance level the null hypothesis was failed to be rejected.

Thus, concluding that there is a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred.

5 0
3 years ago
Help ill mark you brainlist
adell [148]
The differences between he numbers are 19, so the answer is 58 + 19 = 71
8 0
3 years ago
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