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OLEGan [10]
2 years ago
6

In a recent study on world​ happiness, participants were asked to evaluate their current lives on a scale from 0 to​ 10, where 0

represents the worst possible life and 10 represents the best possible life. The mean response was 5.4, with a standard deviation of 2.3.
(a) What response represents the 86th percentile? (Round to two decimal places as needed).
​(b) What response represents the 55th ​percentile? (Round to two decimal places as needed).
​(c) What response represents the first ​quartile? (Round to two decimal places as needed).
Mathematics
1 answer:
VashaNatasha [74]2 years ago
3 0

The response that represents the 86th percentile is 7.884

The response that represents the 55th percentile is 5.69

The response that represents the first percentile 3.85

<h3 /><h3>How to solve for the 86th percentile</h3>

mean = 5.4

sd = 2.3

p(X>x) = 0.86

find the value of z using the NORMSINV function in excel with a probability of 0.86

z = 1.080

x = mean + sd*z

= 5.4 + 2.3 * 1.080

= 7.88

<h3>How  to solve for the 55th percentile</h3>

mean = 5.4

sd = 2.3

p(X>x) = 0.55

find the value of z using the NORMSINV function in excel with a probability of 0.55

z = 0.1257

x = mean + sd*z

= 5.4 + 2.3 * 0.1257

= 5.69

c. The first quartile is 25%

z = -0.6745

5.4 + 2.3 * -0.6745

= 5.4-1.551

= 3.85

Read more on percentile here:

brainly.com/question/2263719

#SPJ1

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Correct option is the third option .

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4 years ago
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A contractor is in charge of hiring people for a construction project. The number of days it would take to complete the project
sweet-ann [11.9K]

Answer:

\text{Domain of x}=[1,\infty), x \in Z^+

Step-by-step explanation:

Given the function: f(x)=\dfrac{280}{x},$ where:

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x =number of full-time workers.

\text{When x=0, }f(x)=\dfrac{280}{0}=$Undetermined\\\text{When x=1, }f(x)=\dfrac{280}{1}=$280 days\\\text{When x=280, }f(x)=\dfrac{280}{280}=$1 day\\\text{When x=560, }f(x)=\dfrac{280}{560}=$0.5 days

The domain of a function is the complete set of possible values of the independent variable.

In this case, the independent variable is x, the number of full-time workers. We have shown that x cannot be zero as there must be at least a worker on ground.

Therefore, an appropriate domain of the function f(x) is the set of positive integers (from 1 to infinity).

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Step-by-step explanation: hope this helps

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[100 ÷ (27 – 22)] – 3 • 5 + 25
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Answer:

There are only 3 differences perform

Step-by-step explanation:

I. If x is negative, y is negative then the answer is possitive

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II. If x is negative, y is positive then the answer is negative

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III. If x is possitive, y is possitive then the answer is positive

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                    2 × 5 = 10

Alt. No matter how long x, y, z, a, b there always apply only 3 rules above. Multiply or Devide are the same rule.

Ask me for anything :D

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