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ipn [44]
2 years ago
14

I need help I really don't get this ?

Mathematics
2 answers:
aksik [14]2 years ago
8 0
The radius of the circle is 7 which is r in the eq.
put 7 instead of r in the volume of sphere formula.
Then multiply all sides of square which will be 12 x 12 x 12 = 1728
Now add the values from both shapes
1728 + 1436.75
Your answer will be 3163.5 cm(cubed)
RUDIKE [14]2 years ago
7 0

Answer:

466,207,795.2 cm^3

Step-by-step explanation:

The equation to find both, the volume of the sphere and cube, are given.

The sphere:

V = \frac{4}{3}πr^3

the radius is 7 ft therefore

V =  \frac{4}{3}π7^3

The problem says to use 3 for pie therefore

V =  \frac{4}{3}(3)7^3

7 to the power of three is

V = \frac{4}{3}(3)343

\frac{4}{3} and 3 cancel each other out to equal 4

V = 4 × 343

V = 1,372 ------> volume of sphere

______________________________________________

The cube:

V = Legth × width × height

V = 12 × 12 × 12

V =  1,728 ------> volume of cube

_______________________________________________

Total volume:

1,372 + 1,728 = 3,100 ft^3

But the question asks for the mesurement in centimeters so convert feet to centimeters using a calculator :)

3,100 ft^3 = 87,782,080 cm^3

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A nutrition laboratory tested 25 "reduced sodium" hotdogs of a certain brand, finding that the mean sodium content is 310 mg wit
inessss [21]

Answer:

The  95% confidence interval is  295.9 < \mu< 324.1

A   95% level of confidence mean that there is 95%  chance  that the true population mean will be in this interval

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  25

    The mean is  \= x  =  310 \ mg

     The standard deviation is  \sigma =  36 \ mg

Given that the confidence level is  95% then the level of significance is mathematically represented as

           \alpha  =  100 - 95

=>        \alpha  =  5\%

=>        \alpha  =  0.05

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table , the value is  

           Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }  =  1.96

Generally the margin of error is mathematically represented as

        E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

        E =  1.96 *  \frac{36 }{\sqrt{25} }

        E = 14.1

The 95% level of confidence interval  is mathematically represented as

      \= x - E < \mu

substituting values

     310- 14.1 < \mu< 310+ 14.1

     295.9 < \mu< 324.1

The  95% level of confidence mean that there is 95%  chance  that the true population mean will be in this interval

6 0
3 years ago
From the 9 male and 8 female sales representatives for an insurance​ company, a team of 4 men and 3 women will be selected to at
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Select 4 from 9, and 3 from 8.  Multiply together.
C(9,4)*C(8,3)
=9!/(4!5!) * 8!/(3!5!)
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3 years ago
Find the inverse of f(x)= 0.5x -1
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Answer:

Y=2x+2

Step-by-step explanation:

Y=0.5x-1

To find inverse, switch and y

x=0.5y-1

0.5y=x+1

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Multiply<br> 5x107 * 3x105
djverab [1.8K]

Answer:

the first on 5×107=535 the second one 3×105=315

8 0
2 years ago
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Determine which two of the three given triangles are similar. Find the scale factor for the pair.
EleoNora [17]

Since the ratio of their similar sides are equal hence the triangles are similar

<h3>Scale factors</h3>

Two figures are are known to be similar if the ratio of their similar sides are equal to a constant known as the scale factor.

For the triangles given, take the ratio of the sides;

12/2 = 6

30/5 = 6

36/6 = 6

Since the ratio of their similar sides are equal hence the triangles are similar

Learn more on similar shapes here: brainly.com/question/2644832

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4 0
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