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KengaRu [80]
3 years ago
10

1a) Qualifying Test Scores To qualify for a medical study, an applicant must have a systolic blood pressure in the 60% of the mi

ddle range. If the systolic blood pressure is normally distributed with a mean of 120 and a standard deviation of 3, find the upper and lower limits of blood pressure a person must have to qualify for the study. Round final answers to one decimal place.
Applicants must have a lower blood pressure limit of ___ and an upper blood pressure limit of ____to qualify for the study.

b) Bottled Drinking Water Americans drank an average of 23.2 gallons of bottled water per capita in 2004. If the standard deviation is 2.7 gallons and the variable is normally distributed, find the following probabilities. Use a graphing calculator and round the answers to four decimal places.

More than 25 gallons of bottled water.

p (more than 25 gallons of bottled water)=?


c) Police Academy Acceptance Exams In order to qualify for a police academy, applicants are given a test of physical fitness. The scores are normally distributed with a mean of 60 and a standard deviation of 6. If only the top 17% of the applicants are selected, find the cutoff score. Use a graphing calculator and round the answer to the nearest whole number.

The cutoff score for the top 17% of the scores is=?

d) The average teachers' salary in a certain state is $57,337. Suppose that the distribution of salaries is normal with a standard deviation of $7500. Assume that the sample is taken from a large population and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator and round the answer to at least four decimal places.
What is the probability that a randomly selected teacher makes less than $50,000 per year?

.Please answer all parts of the question. 1a to d
Mathematics
1 answer:
liberstina [14]3 years ago
4 0

Answer:

4 Only 5 points? im good nty

Step-by-step explanation:

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Answer:

f(x)=(\frac{1}{4} )^{x} +4

Step-by-step explanation:

The way I did this was I noticed that the graph had a y-intercept of 4 and the only exponential function that had a y-intercept of 4 was f(x)=(\frac{1}{4} )^{x} +4

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Put these numbers in order from greatest to least.<br>0.012<br>0.002<br>0.02<br>0.512<br>​
prisoha [69]

Answer: 0.512, 0.020, 0.012, 0.002

Step-by-step explanation:

To put these decimals in the order from greatest to least, we first need to make sure they all have the same place values.

0.012, 0.002, 0.020, 0.512

Now that they have the same place values, we can see which is bigger.

0.512, 0.020, 0.012, 0.002

8 0
3 years ago
In a set of 25 aluminum castings, four castings are defective (D), and the remaining twenty-one are good (G). A quality control
lianna [129]

Answer:

The sample space for selecting the group to test contains <u>2,300</u> elementary events.

Step-by-step explanation:

There are a total of <em>N</em> = 25 aluminum castings.

Of these 25 aluminum castings, <em>n</em>₁ = 4 castings are defective (D) and <em>n</em>₂ = 21 are good (G).

It is provided that a quality control inspector randomly selects three of the twenty-five castings without replacement to test.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!(n-k)!}

Compute the number of samples that are possible as follows:

{25\choose 3}=\frac{25!}{3!\times (25-3)!}

      =\frac{25\times 24\times 23\times 22!}{3!\times 22!}\\\\=\frac{25\times 24\times 23}{3\times 2\times 1}\\\\=2300

The sample space for selecting the group to test contains <u>2,300</u> elementary events.

6 0
3 years ago
a student found the slope of a line that passes through the points (1,14) and (3,4) to be 5. what mistake did she make?
SSSSS [86.1K]
M = (y2-y1)/(x2-x1)
 = (4-14)/3-1
 = -10/2
 = -5
4 0
3 years ago
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