A manufacturer knows that their items have a normally distributed lifespan, with a mean of 8.8 years, and standard deviation of 2.2 years.If 5 items are picked at random, 5% of the time their mean life will be less than how many years?

Answers

Answer 1

Answer: First of all we need o use the standard normal table to see what value if z will have 10% of the area (probability) to the left of it. We see that z value is approximately z = -1.282

Now all we have to do is calculate the value of x that corresponds to this value of z. We have

( x - µ ) / σ = -1.282 Substituting in the known values, we have

( x - 4.4 ) / 1.3 = -1.282 and x = 2.73 years

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Quan likes to exercise by running every day. On average, he runs 5 miles each day. This varies by about 0.3 mile. What are the maximum and minimum numbers of miles Quan is expected to run each day?

Answers

Answer:

Quan runs a maximum of 5.3 miles and a minimum of 4.7 miles every day.

Step-by-step explanation:

Let x= the actual measurement.

|actual − ideal|≤ tolerance

Use an absolute value inequality to express this situation.

|x−5|≤0.3

Rewrite as a compound inequality.

−0.3≤x−5≤0.3

Solve the inequality.

4.7≤x≤5.3

Answer the question. Quan runs a maximum of 5.3 miles and a minimum of 4.7 miles every day.

If x=2 find y 5x-y=5

Answers

Answer:

y=5

solution,

X=2

now,

$\n 5x - y = 5 \n or \: 5 * x - y = 5 \n or \: 5 * 2 - y = 5 \n or \: 10 - y = 5 \n or \: - y = 5 - 10 \nor \: - y = - 5 \n y = 5$

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Answers

Answer:

$x^(6)$ / $z^(-1)$

Step-by-step explanation:

A researcher wanted to determine the prevalence of type 2 diabetes among persons living with HIV in Ojai, a small town in California. He developed a survey questionnaire and mailed to 600 residents of Ojai. The survey asked participants several questions including whether their doctor or health care professional ever told them that they had diabetes. All 600 residents completed the survey and the researcher considered their sample a random sample of the 2,500 total residents of 3 Ojai. The following data was compiled from the survey. The prevalence of diabetes in the sampled survey was 6%. The researcher wanted to compare the prevalence of diabetes by smoking status. In their survey, they found that among 230, who were smokers, 157 reported diabetes and among the remaining nonsmokers, 50 reported diabetes. Construct a two by two table using the data given above. Be sure to label the cells and margins.
Diabetes
Yes No
Smoking Yes a b
No с d
Total

Answers

Answer:

Step-by-step explanation:

Given that:

There are 600 residents in the survey.

And results gathered identify that among 230 who were smokers, 157 are reported to have diabetes and among the remaining nonsmokers, 50 reported diabetes.

The objective is to construct a two by two table from the given data:

Diabetes

Yes No Total

Smoking

Yes 157 230 - 157

= 73 230

No 50 370 - 50 600 - 230

= 320 = 370

Total 157 + 50 320+ 73

= 207 = 393 600

What is the measure angle of 3 ?
The measure angle of 4?

Answers

Answer:
Angle 4=83
Angle 3=46

Explanation:
For angle 4- Angles in a triangle add to 180 degrees
46+51=97 180-97=83
For angle 3- angles on a straight line add to 180 degrees
51+83=134 180-134=46

I hope this helped :)

Help please............

Answers

Answer:

(9x -2)(9x +2)

Step-by-step explanation:

Each of the terms in the difference is a perfect square, so the "perfect square trick" applies. The factors are the sum and difference of the square roots of the given terms.

√(81x²) = 9x
√4 = 2

81x² - 4 = (9x +2)(9x -2)

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