Answer:
x = 6
Step-by-step explanation:
These are supplementary angles.
This means that the angles add up to 180 degrees.
The first thing we can do is set 6y equal to 90, because the little red box means that is 90 degrees.
6y = 90
y = 15
Now that we have found y we can solve for x.
Plug in the y to the 5x + 4y
5x + 4(15)
5x + 60
We can set this equal to 90 again
5x + 60 = 90
5x = 30
x = 6
Therefore x is equal to 6.
<em>I hope this helps!!</em>
<em>- Kay :)</em>
Answer:
N is less than 2, (C)
Step-by-step explanation:
Divide both sides by -6, and since two negatives make a positive, you get n is less then 2.
Answer:
The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 16 - 1 = 15
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.7531
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 23.29 - 0.34 = 22.95 mpg
The upper end of the interval is the sample mean added to M. So it is 23.29 + 0.34 = 23.63 mpg
The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.