Can someone help solve this

What is the solution to the inequality x - 2 < -2?

7nadin3 [17]

Well the solution to this problem is x < -4

3 0

2 years ago

Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon, would like to test t

Amanda [17]

Answer:

$t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402$

$df = n-1= 22-1=21$

$t_{\alpha/2}= -2.08$

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

Step-by-step explanation:

Data given

$\bar X=33.9$ represent the sample mean

$s=4.1$ represent the sample standard deviation

$n=22$ sample size

$\mu_o =26$ represent the value that we want to test

$\alpha=0.025$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is less than 36 years old, the system of hypothesis would be:

Null hypothesis: $\mu \geq 36$

Alternative hypothesis: $\mu < 36$

The statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

And replacing we got:

$t=\frac{33.9-36}{\frac{4.1}{\sqrt{22}}}=-2.402$

Now we can calculate the critical value but first we need to find the degreed of freedom:

$df = n-1= 22-1=21$

So we need to find a critical value in the t distribution with df =21 who accumulates 0.025 of the area in the left and we got:

$t_{\alpha/2}= -2.08$

Since the calculated values is lower than the critical value we have enough evidence to reject the null hypothesis at the significance level of 2.5% and we can say that the true mean is lower than 36 years old

3 0

2 years ago

Ussions

ankoles [38]

Answer:

All points on line CD are equidistant from A and B

Step-by-step explanation:

Given that point A is the center of circle A and point B is the center of circle B, and the circumference of circle A passes through the center of circle B which is point B and vice versa.

Therefore we have;

The radius of circle A = The radius of circle B

Which gives;

The distance of the point C to the center A is equal to the distance of the point C to the center B

Similarly, the distance of the point D to the center A is equal to the distance of the point D to the center B

So also the distances of all points on the line from the center A is equal to the distances of all points on the line from the center B.

6 0

2 years ago

What is the answer to this;7log10 (10/9)-2log10 (25/24+3log10 (81/80)

vovangra [49]

Answer:

Step-by-step explanation:

6 0

2 years ago

Nancy drives 624 miles in 10 hours, driving the same number of miles each hour. Rebecca drives 660 miles in 12 hours, driving th

olya-2409 [2.1K]

Which statements are true about the ordered pair (−1, 5) and the system of equations?

{x+y=4 x−y=−6

Select each correct answer.

The ordered pair (−1, 5) is a solution to the first equation because it makes the first equation true.The ordered pair (−1, 5) is a solution to the second equation because it makes the second equation true.The ordered pair (−1, 5) is not a solution to the system because it makes at least one of the equations false.The ordered pair (−1, 5) is a solution to the system because it makes both

6 0

2 years ago