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3 years ago

76,45,64, 80, 92 Calculate the sample standard deviation

Mathematics

1 answer:

Artyom0805 [142]3 years ago

4 0

Answer:

15.94490514

Step-by-step explanation:

First, work out the average, or arithmetic mean, of the numbers:

Count: 5(How many numbers)

Sum: 357(All the numbers added up)

Mean: 71.4(Arithmetic mean = Sum / Count)

Then, take each number, subtract the mean and square the result:

Differences:

4.6, -26.4, -7.4, 8.6, 20.6

(Every Number minus Mean)

Differences^2:

21.16, 696.96, 54.76, 73.96, 424.36

(Square of each difference)

Now calculate the Variance:

Sum of Differences2:1271.2(Add up the Squared Differences)

Variance:254.24(Sum of Differences2 / Count)

Lastly, take the square root of the Variance:

Standard Deviation:15.94490514 (The square root of the Variance)

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A countries population in 1991 was 231 million in 1999 it was 233

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The answer is:A = 231e^(.0010776*12) = 234 million in 2003
k=(In(233/231))/(8)
<span>k=1.00865/8 <===== you used the ratio of 233/321, not the natural log of the ratio. </span>

<span>233/231 = 1.00865 </span>
<span>ln(233/231) = ln(1.00865) = 0.0086207 </span>
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4 years ago

A survey was distributed to 2.000 employees and 90 percent of these employees responded to the survey. Of the employees respondi

fiasKO [112]

Answer:

720 employees

Step-by-step explanation:

Number of responded employees = 90% of 2000 employees = 1800 employees

Out of 1800 employees, if 60% answer yes, then the remaining 40% will answer "no". 72 employees did not respond to the survey.

Number of "no" answered employees = 40% of 1,800 employees = 720 employees( Answer)

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3 years ago

Find the diameter of the circle with the given circumference. Use 3.14 for pi. C=29 cm The diameter is about ____ cm. (Round to

dezoksy [38]

Answer:

= 9.2 cm

Step-by-step explanation:

D = C ÷ π

= 29cm ÷ 3.14

= 9.2356

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3 years ago

A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the

forsale [732]

<h3>The probability of student passing the quiz with at least 50% of the questions correct is 0.05457.</h3>

Step-by-step explanation:

Here, the total number of T/F question = 10

The minimum answers needed correctly answered = 8

So, student needs to answer at least 8 questions correctly.

Here, the possibility of answering a question correctly = $(\frac{1}{2})$ = p = 0.5

Also, the possibility of answering a question wrong = $(\frac{1}{2})$ = q = 0.5

Now, to pass he needs to answer 8 or more ( 8 , 9 or 10) answers correctly.

P(answering 8 correct answer) = $^{10}C_8(p)^8(q)^2 = ^{10}C_8(0.5)^8(0.5)^2 = 0.0439$

P(answering 9 correct answer) = $^{10}C_9(p)^9(q)^1 = ^{10}C_9(0.5)^9(0.5)^1 = 0.0097$

P(answering 10 correct answer) = $^{10}C_{10}(p)^{10}(q)^0 = ^{10}C_{10}(0.5)^{10}(0.5)^0 = 0.00097$

So, the total Probability = P(8) + P(9) + P(10)

= (0.0439) + (0.0097) + (0.00097)

= 0.05457

Hence, the probability that the student passes the quiz with at least 8 of the questions correct is 0.05457.

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4 years ago

If a 2/3 gallon of paint covers 3/5 of a wall, continuing at this rate how much paint will be needed for the entire wall?

saul85 [17]

Answer:

Step-by-step explanation:

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3 years ago