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3 years ago

Which one would it be?

Mathematics

1 answer:

Leni [432]3 years ago

6 0

C is the answer.
in the original function, when x=0, y=-1
in the new function, to make y=-1, x+3=0, x=-3. From the original 0 to -3 is a shift of 3 units to the left.

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Again ... Commute times in the U.S. are heavily skewed to the right. We select a random sample of 500 people from the 2000 U.S.

VladimirAG [237]

Answer:

We conclude that the mean commute time in the U.S. is less than half an hour.

Step-by-step explanation:

We are given that a random sample of 500 people from the 2000 U.S. Census is selected who reported a non-zero commute time.

In this sample the mean commute time is 27.6 minutes with a standard deviation of 19.6 minutes.

Let $\mu$ = mean commute time in the U.S..

So, Null Hypothesis, $H_0$ : $\mu \geq$ 30 minutes {means that the mean commute time in the U.S. is more than or equal to half an hour}

Alternate Hypothesis, $H_A$ : $\mu$ < 30 minutes {means that the mean commute time in the U.S. is less than half an hour}

The test statistics that would be used here One-sample t-test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean commute time = 27.6 minutes

s = sample standard deviation = 19.6 minutes

n = sample of people from the 2000 U.S. Census = 500

So, the test statistics = $\frac{27.6 -30}{\frac{19.6}{\sqrt{500} } }$ ~ $t_4_9_9$

= -2.738

The value of t test statistic is -2.738.

Since, in the question we are not given with the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical values of -1.645 at 499 degree of freedom for left-tailed test.

Since our test statistic is less than the critical value of t as -2.378 < -1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean commute time in the U.S. is less than half an hour.

4 0

3 years ago

A coffee supply store waits until the orders for its special coffee blend reach 100 pounds before making up a batch. Coffee sell

Daniel [21]

Let x represent the number of pounds of $10.75/lb coffee used in the mix.
.. 10.75x +3.25(100 -x) = 5.65*100 . . . . . . total cost of coffee blend
.. x(10.75 -3.25) = 100*(5.65 -3.25) . . . . . .separate x-terms from non-x terms
.. x = 240/7.5 = 32

32 pounds of $10.75/lb coffee should be used
68 pounds of $3.25/lb coffee should be used

7 0

3 years ago

What is the value of |–46| ? A. -46 B. 46

vladimir1956 [14]

It would be positive 46

8 0

3 years ago

Read 2 more answers

Can anybody answer this? Please! I’ll mark you brainliest

labwork [276]

Problem 1: Plug in the given value into the function and evaluate.

$f(x)=|3x|\\f(2)=|3(2)|\\f(2)=|6|\\f(2)=6$

Problem 2: Solve the equation for y.

$-7x+2y=8$

add 7x to both sides to move it to the right side of the equation.

$2y=7x+8$

Divide both sides of the equation by 2 to get a single y variable on the left hand side.

$\frac{2y}{2} =\frac{7x}{2} +\frac{8}{2} \\y=\frac{7}{2}x+4$

Simplify the terms to get the the equation into slope-intercept form.

The slope of the line is $\frac{7}{2}$

I'm a unsure what Problem 3 is asking for sorry I hope the rest is helpful.

5 0

3 years ago

What is1\7 the speed of a cheetah?

klio [65]

1/7 the speed of a cheetah is 10 mph because an average cheetah can run 70 miles per hour. This means time to do some division. Envision the denominator of 1/7 (7) as 70 and then the numerator (1) should be 10. Divide 70 by 7 should be 10. Hope this helps.

4 0

3 years ago

Read 2 more answers