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Tasya [4]
3 years ago
9

The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall sem

ester on the basis of past experience. Admissions Probability 1,100 .2 1,400 .3 1,300 .5 Click here for the Excel Data File What is the expected number of admissions for the fall semester? Compute the variance and the standard deviation of the number of admissions. (Round your standard deviation to 2 decimal places.)
Mathematics
1 answer:
Sophie [7]3 years ago
8 0

Answer:

Variance =10900.00

Standard deviation=104.50

Step by step Explanation:

Admissions Probability for 1100= 0.2

Admissions Probability for 1400=0.3

Admissions Probability for 1300 =0.5

To find the expected value, we will multiply each possibility by its probability and then add.

mean = 1100*0.2 + 1400*0.3 + 1300*0.5 = 1290

To find the variance, we will start by squaring each possibility and then multiplying it by its probability. We will then add these and subtract the mean squared.

E(X^2)=( 1100²*0.2)+ (1400²*0.3 )+ (1300²*0.5) = 1675000

Variance(X)=E(X²)- [E(X)]²

= 1675000 - (1290)²

=10900

Hence, the Variance(X)=10900

Then to calculate the standard variation , we will use the formular below,

standard variation (X)=√ var(X)= √10900

=104.5

Hence the standard variation=104.5

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Answer:

29

Step-by-step explanation:

-(-14) is a double negative, thus the minus signs are cancelled out turning 14 positive.

The equation is now 15 + 14 which is 29

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3 years ago
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The cost of 32 containers of her than this at a grocery store is $96 what is the price per container of hummus?
galina1969 [7]

Answer:3

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7 0
2 years ago
Nada drives her car at an average speed of 60 miles per hour. She is planning a drive between 150 and 180 miles. Write and solve
tatuchka [14]

The inequality model that can be used to solve the number of hours it would take Nada to drive is 2.5 ≤ x ≤3.

<h3>What is the number of hours it would take Nada to drive?</h3>

Average speed is the total distance travelled per time.

Average speed = total distance / total time

Time = total distance / average speed.

Time if she drives 150 miles = 150 / 60 = 2.5 hours

Time if she drives 180 miles = 180 / 60 = hours

2.5 ≤ x ≤3.

To learn more about average speed, please check: brainly.com/question/21734785

7 0
2 years ago
A central angle of a circle measures π/3 radians intercepts an arc that is 12πcm. What is the radius of the circle?
nydimaria [60]
Wouldnt it be 4 im pretty sure i did the math right i hope this works can you answer mine?
8 0
2 years ago
Ronald Dairo is helping the local indus-
nadya68 [22]

Answer:

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

Step-by-step explanation:

Papaya rosette pieces on first day = 5890

Papaya rosette Pieces on second day = 7020

Papaya rosette Pieces of third day = 8150

Let

a_1 = 5890\\a_2 = 7020\\a_3 = 8150

We can check if these numbers are part of a sequence.

In order to check, common difference will be found first.

d = a_2-a_1 = 7020-5890 = 1130\\d =a_3-a_2 = 8150-7020 = 1130

It can be observed that the common difference is same. When the common difference is same, the sequence is said to be an arithmetic sequence.

The formula for arithmetic sequence is given by:

a_n = a_1+(n-1)d

Putting the values

a_n = 5890+(n-1)(1130)\\a_n = 5890+1130n-1130\\a_n =4760+1130n

The formula for nth term can be used to find any term. As we have to find the number of papaya rosette pieces after two weeks which means that we need to find the number of pieces on 14th day.

So,

a_{14}= 4760+1130(14)\\a_{14} = 4760+15820\\a_{14} = 20580

Hence,

Mr. Dairo can produce 20580 pieces of Papaya rosette in two weeks.

5 0
2 years ago
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