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liberstina [14]
2 years ago
13

A pound of chocolate costs 6 dollars. Dante buys p pounds. Write an equation to represent the total cost c that Dante pays.​

Mathematics
1 answer:
Neko [114]2 years ago
3 0

Answer:

Since it is 6 dollars per pound, his total cost c is 6 times p...thus

c = 6p

Step-by-step explanation:

here is your answer hope you will enjoy and mark me as brainlist

thank you

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I would say c.-1/2 but I'm not certain
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An individual who has automobile insurance from a certain company is randomly selected. Let y be the number of moving violations
Hoochie [10]

Answer:

a) E(Y)= \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:    

E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95

b) E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148

Step-by-step explanation:

Previous concepts

In statistics and probability analysis, the expected value "is calculated by multiplying each of the possible outcomes by the likelihood each outcome will occur and then summing all of those values".  

The variance of a random variable Var(X) is the expected value of the squared deviation from the mean of X, E(X).  

And the standard deviation of a random variable X is just the square root of the variance.  

Solution to the problem

Part a

We have the following distribution function:

Y        0         1         2       3

P(Y)  0.45    0.2    0.3   0.05

And we can calculate the expected value with the following formula:

E(Y)= \sum_{i=1}^n Y_i P(Y_i)

And replacing we got:    

E(Y) = 0*0.45 +1*0.2 +2*0.3 +3*0.05= 0.95

Part b

For this case the new expected value would be given by:

E(80Y^2)= \sum_{i=1}^n 80Y^2_i P(Y_i)

And replacing we got

E(80Y^2) =80[ 0^2*0.45 +1^2*0.2 +2^2*0.3 +3^2*0.05]= 148

5 0
3 years ago
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The top of a storage container is a hemisphere with a diameter of 28 feet. What is the volume of the storage container? Round yo
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Answer:

5749.3 cubic feet

Step-by-step explanation:

The volume of the  storage container would be defined by the volume of the shape; a hemisphere

The volume V of  a hemisphere is given as

V = 2/3 π r^3

where r is the radius of the hemisphere

Given that the diameter is 28 feet, the radius = 14 feet

hence the volume

= 2/3 * π * 14^3

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To the nearest tenth

= 5749.3 cubic feet

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3.2

Step-by-step explanation:

The Image attached below.

The given fraction is \frac{16}{5}\.

Step 1: Write the numerator inside.and denominator outside.

Step 2: If we multiply a number 5 by 3 we get 15. Write 3 in the quotient place.

Step 3: Now subtract 15 from 16, we get 1

Step 4: Place a decimal point after 3 and give one zero after 1, we get 10.

Step 5: Now multiply 5 by 2, we get 10.

Step 6: Subtract 10 from 10, the remainder is 0.

Step 7: The decimal is 3.2.

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