MATHEMATICS HIGH SCHOOL

What does y =. I don’t know how to solve the domain

Answers

Answer 1

Answer:

It's a Modulus Function.

The answer for graph is $y=|x+1|-2$

The domain is all set of real number (You can substitute any x-values to get y-values)

The range is x ≤ -2 (Notice the graph and y-axis.)

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A researcher collated data on Americans’ leisure time activities. She found the mean number of hours spent watching television each weekday to be 2.7 hours with a standard deviation of 0.4 hours. Jonathan believes that his football team buddies watch less television than the average American. He gathered data from 15 football teammates and found the mean to be 2.3. Which of the following shows the correct z-statistic for this situation?

Answers

Answer:

Z Test = -3.87298

p= .0001

Then the results are significant at p values < 0.1

Step-by-step explanation:

To answer this question we have to consider some things.

1) The Mean of Population is given by this formula:

$\mu =(\sum X_(i))/(N)\; \mu=2.8$

The Population Standard Deviation is given by this formula:

$\sigma =\frac{\sqrt{(x_(i)-\mu)^(2)}}{N}\: \sigma=0.4$

On the other hand, the Team buddies are a sample of this population, whose mean is:

$\bar{x} = (\sum x_(i) )/(n)=2.3$

The Sample Standard Deviation is given by this formula:

$\S =\frac{\sqrt{(x_(i)-\mu)^(2)}}{N-1}\: \s=$

The Z test shows us the validity of the results.

For the Z test we need the Variance $\sigma ^(2)$

Z = (M - μ) / √(σ2 / n)

$Z_(score)=\frac{2.3-2.7}{\sqrt{(0.16)/(0.15)}}\nZ_(score)= -3.87298$

Z Test = -3.87298 standard deviation units, since it's a negative value is 3.897 below the mean.

p= .0001 the p value.

Then the results are significant at p values < 0.1

Answer:

-3.87...just took the test and got this question right

Find all the powers of 3 in the range 3 through 1,000.

Answers

3^1=3
3^2=9

lets skip a couple and guess
3^10=59049 oops too high

3^6=729 good
3^7=2187 too high so

the answers are
3^1
3^2
3^3
3^4
3^5
3^6

3^1 = 3
3^2 = 9
3^3 = 27
3^4 = 81
3^5 = 243
3^6 = 729

A publisher claims that the average salary paid at its company is $37,500 but it could differ as much as $4500. Write and solve an absolute value inequality to determine the range of salaries at this company.|x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

|x − 37,500| ≤ 4500; The salaries are less than $33,000 or greater than $42,000.

|x − 37500| ≥ 4500; The salaries range from $33,000 to $42,000

|x − 37,500| ≥ 4500; The salaries are less than $33,000 or greater than $42,000.

Answers

In this problem, the mean salary is equal to $37,500 while the maximum salary is $4500 more than the mean and the mnimum salary is $4500 less than the mean salary. This means the equation that represents the salaries is |x − 37500| ≤ 4500; The salaries range from $33,000 to $42,000

Answer:

its A

Step-by-step explanation:

Bob needs to drive 592 miles to get to a family reunion. He travels 187 miles the first day. If he averages 52 miles per hour the second day, how long will it take him to reach his destination?

Answers

miles left to cover on 2nd day- 592-187=405 miles
to cover 405 miles, 405/52=7.78 hours needed=7h 47 mins

Raffle tickets are being sold for a fundraiser. The relationship between n, number of raffle tickets sold, and A, amount of money in dollars raised, is given by the function below.A(n)=4n-25

What is the equation of the inverse function N(a)?

Answers

If the function is
A(n) = 4n -25

and we wish to get the inverse function N(a)

We let
A(n) = a
n = N(a)

Plugging in the values
a = 4 N(a) - 25

Arranging the equation:
4 N(a) = a + 25
N(a) = (a + 25) /4

The answer is
N(a) = (a + 25) /4

H(t) = 6x -2; h(t) = -32

Solve for x.

Answers

Answer:

x = - 5

Step-by-step explanation:

Given h(x) = 6x - 2 and h(x)= - 32, then equate the right sides, that is

6x - 2 = - 32 ( add 2 to both sides )

6x = - 30 ( divide both sides by 6 )

x = - 5

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1+4=5 2+5=12 3+6=21 8+11=

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