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UNO [17]
2 years ago
11

On a 40‐point test, Steve received an 80%. How many points did he receive on the test?

Mathematics
1 answer:
jarptica [38.1K]2 years ago
7 0

Answer:

Steve got 32 points

Step-by-step explanation:

Take the total score and multiply by the percentage received

40 * 80%

Change to decimal form

40 * .80

32

Steve got 32 points

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To estimate the mean height μ of male students on your campus,you will measure an SRS of students. You know from government data
nexus9112 [7]

Answer:

a) \sigma = 0.167

b) We need a sample of at least 282 young men.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

This Zscore is how many standard deviations the value of the measure X is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

(a) What standard deviation must x have so that 99.7% of allsamples give an x within one-half inch of μ?

To solve this problem, we use the 68-95-99.7 rule. This rule states that:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we want 99.7% of all samples give X within one-half inch of \mu. So X - \mu = 0.5 must have Z = 3 and X - \mu = -0.5 must have Z = -3.

So

Z = \frac{X - \mu}{\sigma}

3 = \frac{0.5}{\sigma}

3\sigma = 0.5

\sigma = \frac{0.5}{3}

\sigma = 0.167

(b) How large an SRS do you need to reduce the standard deviationof x to the value you found in part (a)?

You know from government data that heights of young men are approximately Normal with standard deviation about 2.8 inches. This means that \sigma = 2.8

The standard deviation of a sample of n young man is given by the following formula

s = \frac{\sigma}{\sqrt{n}}

We want to have s = 0.167

0.167 = \frac{2.8}{\sqrt{n}}

0.167\sqrt{n} = 2.8

\sqrt{n} = \frac{2.8}{0.167}

\sqrt{n} = 16.77

\sqrt{n}^{2} = 16.77^{2}

n = 281.23

We need a sample of at least 282 young men.

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3 years ago
Write down down an equation of a line that is parallel to the line with the equation y=7-x
Bingel [31]

Answer:

y=8-x or y=9-x or y=243-x (The spot where the 8 is can be any number as long as the number infront of the 0 is still -1)

Step-by-step explanation:

5 0
2 years ago
If the family's net monthly income is $7,800, what percent of the income is spent on food, clothing, and housing?
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Answer:

60 percent

Step-by-step explanation:

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2 years ago
If a place you like is renting for $800, and you had one other renter with whom you split the rent expense, how much does your G
Yakvenalex [24]

Answer:

How much should I spend on rent and utilities?

We calculate your monthly rent at 25% of your monthly net income (after monthly debt). This allows you to have enough cash left for other expenses and savings. Utilities are in general 2.5% of your monthly net income, and so in this case, you should expect to spend $0 or more per month on utilities.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
The polynomial x3 + 8 is equal to
mylen [45]
The answer is: [A]:  (x + 2) (x² − 2x + 4).
_______________________________
Explanation:
_____________________________
Note the formula:
___________________
a³ + b³ = (a + b) (a² − ab + b²)<span> 
_________________________________
x</span>³ + 8 can be written as x³ + 2³ ; since 2³ = 8
______________________________
So, using the formula:
_____________________
a³ + b³ = (a + b) (a² − ab + b²) ; 
______________________________
x³ + 8 ; or, x³ + 2³ ; can be factored; where a = x and b = 2.
__________________________________
→ Substitute these values for "a" and "b"; and rewrite:
__________________________________
→ x³ + 2³ = (x + 2) (x² - x*2 + 2²) ;
__________________________________
→ Simplify, and rewrite as:
__________________________________
→x³ + 8 = x³ + 2³ = (x + 2) (x² − 2x + 4) ;
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→which is our first answer choice, "[A]".
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3 0
3 years ago
Read 2 more answers
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