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3 years ago

7

Mr. Smith is studying for his firefighter exam he demonstrates that he must study a minimum of 60 hours he decides to spend his

steady hours out evenly over eight weeks how many hours will Mr. Smith need to study each week

2 answers:

spayn [35]3 years ago

7 0

Answer:

He must study for at least 7.5 hours each week

Step-by-step explanation:

Here, we want to know the number of hours that Mr Smith must study each week

From the question, we are told that he must study a minimum of 60 hours total over the course of the 8 weeks

The number of hours he must study each week will be 60/8 = 7.5 minimum number of hours each week

Alexandra [31]3 years ago

7 0

Answer:

Step-by-step explanation:

7.5

You might be interested in

that 45% of adult Americans believe that the overall state of moral values in the United States is poor. (a) Compute the mean an

Papessa [141]

Answer:

a) The mean is 225 and the standard deviation is 11.12.

b) It means that in samples of 500 adult Americans, the number of those who believe that the overall state of moral values in the United States is poor is expected to be around 225.

c) No, since 240 is less than 2.5 standard deviations from the mean.

Step-by-step explanation:

For each adult American, there are only two possible outcomes. Either they believe the overall state of moral values in the US is poor, or they do not. The adults are independent of other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In the binomial distribution, a value is considered to be unusual if it is more than 2.5 standard deviations from the mean.

45% of adult Americans believe that the overall state of moral values in the United States is poor.

This means that $p = 0.45$

(a) Compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans.

Sample of 500 means that $n = 500$

Mean:

$E(X) = np = 500*0.45 = 225$

Standard deviation:

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{500*0.45*0.55} = 11.12$

The mean is 225 and the standard deviation is 11.12.

(b) Interpret the mean.

It means that in samples of 500 adult Americans, the number of those who believe that the overall state of moral values in the United States is poor is expected to be around 225.

(c) Would it be unusual to identify 240 adult Americans who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans

2.5 standard deviations above the mean is:

225 + 2.5*11.12 = 252.8

So 253 or more would be unusual, 240 no.

5 0

3 years ago

Calculate the GPA of a student with the following grades: B (1616 hours), D (77 hours), C (2121 hours). Note that an A is equiva

adell [148]

Answer:

2.20

Step-by-step explanation:

The GPA is the weighted average of the grade points. The weights are the number of course hours.

((16 hours)(3.0) +(7 hours)(1.0) +(21 hours)(2.0))/((16 +7 +21) hours)

= 97/44 ≈2.20 . . . . GPA

4 0

4 years ago

What is the 1st term when 3x3 − 7x + 6x4 − 2x2 is arranged in descending order?

azamat

The correct option is 6 X 4.
To arrange in descending order means that you will write the largest value first followed by the other smaller ones. From the question given above, we have the following values:
3x3 = 9
6 x 4 = 24
-2 x 2 = -4 and we have -7x.
Thus, the largest value is 6 x 4.

4 0

3 years ago

Read 2 more answers

Find (f*g)(x) when f(x)=x^2-7x+12 and g(x)=3/x^2-16

IgorC [24]

The answer is: $(f*g)(x)= \frac{3x-9}{x+4}$

<u><em>Explanation</em></u>

Given functions are.......

$f(x)=x^2-7x+12$

$g(x)= \frac{3}{x^2-16}$

For finding $(f*g)(x)$ , we just <u>need to multiply the two functions</u> $f(x)$ and $g(x)$ . So......

$(f*g)(x)= f(x)*g(x)\\ \\ (f*g)(x)= (x^2-7x+12)(\frac{3}{x^2-16})\\ \\ (f*g)(x)= [(x-3)(x-4)][\frac{3}{(x+4)(x-4)}]\\ \\ (f*g)(x)= \frac{3(x-3)}{x+4} = \frac{3x-9}{x+4}$

4 0

3 years ago

A square has a diagonal length 18 in. What is the side length of the square?

Elenna [48]

Answer:

9 $\sqrt{2}$ inches

or

12.728 inches

Step-by-step explanation:

Use Phytagorean Theorem

$a^{2} +b^{2} =c^{2}$

Since both all sides of a square are equal, this means that $a^{2}$ and $b^{2}$ are equal.

So that leaves us with:

$a^{2} +a^{2} = 18^{2}$

Simplify

$2a^{2} = 324$

Divide both sides by 2

$\frac{2a^{2} }{2} =\frac{324}{2}$

Simplify

$a^{2} = 162$

Find the square root of both sides

$\sqrt{a^{2} } =\sqrt{162}$

a = 9 $\sqrt{2}$

(or if you want the decimal, rounded to the 3rd decimal place: 12.728)

4 0

2 years ago