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Rudiy27
2 years ago
9

A company had 80 employees whose salaries are summarized in the frequency distribution below. Find the standard deviation. A fre

quency distribution has two columns labeled from left to right "Salary (dollars)" and "Employees". The entry pairs in each row are given as follows, where the salary is listed first and the number of employees is listed second: 5001 to 10,000, 19; 10,001 to 15,000, 14; 15,001 to 20,000, 12; 20,001 to 25,000, 16; 25,001 to 30,000, 19.

Mathematics
2 answers:
JulsSmile [24]2 years ago
7 0

Answer:

SD = 7588.09

Step-by-step explanation:

Check the distribution table attached to for the step by step solution:

The formula for the mean, \bar{x} = \frac{\sum fx}{\sum f}

\bar {x} = \frac{1410040}{80} \\\bar {x} = 17625.5

The variance , V(X) = \sqrt{\frac{\sum f(x - \bar{x}^2)}{n-1} }

V(X) = \frac{4548750000}{80 - 1} \\V(X) = 57579113.92

Standard Deviation,

SD = \sqrt{V(X)} \\SD = \sqrt{57579113.92}

SD = 7588.09

OLEGan [10]2 years ago
4 0

Answer: The standard deviation is 7540.52

Step-by-step explanation:

The working is shown in the attached photo.

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Each month, Kaisorn deposits $50.00 onto her public transportation card. It costs her $2.50 per trip to ride the subway. Thom de
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The probability that a person in the United States has type B​+ blood is 12​%. Three unrelated people in the United States are s
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Answer:

The probability that all three have type B​+ blood is 0.001728

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have type B+ blood, or they do not. The probability of a person having type B+ blood is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

The probability that a person in the United States has type B​+ blood is 12​%.

This means that p = 0.12

Three unrelated people in the United States are selected at random.

This means that n = 3

Find the probability that all three have type B​+ blood.

This is P(X = 3).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{3,3}.(0.12)^{3}.(0.88)^{0} = 0.001728

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4 0
2 years ago
A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance tra
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Answer:

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Step-by-step explanation:

Given that:

A local trucking company fitted a regression to relate the travel time (days) of its shipments as a function of the distance traveled (miles).

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the critical value for a right-tailed test to see if the slope is positive, using ∝ = 0.05 can be computed as follows:

Let's determine the degree of freedom df = n - 1

the degree of freedom df = 20 - 2

the degree of freedom df =  18

At the level of significance ∝ = 0.05 and degree of freedom df =  18

For a right tailed test t, the critical value from the t table is :

t_{0.05, 18} = 1.734

5 0
2 years ago
The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)? g(x)
Verdich [7]

Answer:

g(x)=(x+7)^2-3

Step-by-step explanation:

Given:

f(x)= x^2

Now we have to translate f(x) 7 units to the left and 3 units down to form the function g(x).

As per the rules of translation

when any parent function, in given case f(x)=x^2, is translated to 'a' units to the left then 'a' is added to the value of x. thus making f(x+a)

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f(x+7)-3 = (x+7)^2-3

Hence new function g(x)=(x+7)^2-3!

7 0
2 years ago
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