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Nana76 [90]
4 years ago
5

At Bud's company, bowling balls are shaped as a sphere with a diameter of 8 inches. If a store receives a shipment of 14 bowling

balls, what is the total volume of the balls? 937.81 cubic inches B. 3,751.3 cubic inches C. 267.95 cubic inches D. 30,009.98 cubic inches
Mathematics
1 answer:
Leni [432]4 years ago
8 0

Answer I think it is c I hope that right I am sorry for late responds

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The graph of F(x), shown below, has the same shape as the graph of G(X) =
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Answer: (X-3)^4

Step-by-step explanation:

To shift a function left, add inside the function's argument: f (x + b) gives f (x)shifted b units to the left. Shifting to the right works the same way; f (x – b) is f (x) shifted b units to the right.

Therefore, the equation is F(x) = G(x-3) = (X-3)^4

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3 years ago
A true-false quiz with 10 questions was given to a statistics class. Following is the probability distribution for the score of
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Answer:

E(X)=\sum_{i=1}^n X_i P(X_i)  

And if we use the values obtained we got:  

E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48  

For this case this value means that the expected score is about 7.48

Step-by-step explanation:

For this case we assume the following probability distribution:

X         5       6         7       8        9        10

P(X)   0.05   0.15  0.33  0.28   0.12   0.07

First we need to find the expected value (first moment) and the second moment in order to find the variance and then the standard deviation.

In order to calculate the expected value we can use the following formula:  

E(X)=\sum_{i=1}^n X_i P(X_i)  

And if we use the values obtained we got:  

E(X)=5*0.05 +6*0.15 +7*0.33 +8*0.28+ 9*0.12 +10*0.07=7.48  

For this case this value means that the expected score is about 7.48

In order to find the standard deviation we need to find first the second moment, given by :  

E(X^2)=\sum_{i=1}^n X^2_i P(X_i)  

And using the formula we got:  

E(X^2)=(5^2 *0.05)+(6^2 *0.15)+(7^2 *0.33)+(8^2 *0.28)+ (9^2 *0.12 +(10^2 *0.07))=57.46  

Then we can find the variance with the following formula:  

Var(X)=E(X^2)-[E(X)]^2 =57.46-(7.48)^2 =1.5096  

And then the standard deviation would be given by:  

Sd(X)=\sqrt{Var(X)}=\sqrt{1.5096}=1.229  

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4 years ago
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Step-by-step explanation:

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