<h2><u>
Answer with explanation</u>
:</h2>
Let
be the distance traveled by deluxe tire .
As per given , we have
Null hypothesis : 
Alternative hypothesis : 
Since
is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.
Test statistic : 
where, n= sample size
= sample mean
= Population mean
=sample standard deviation
For
, we have

By using z-value table,
P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23) [∵P(Z≤-z)=1-P(Z≤z)]
=1-0.9871=0.0129
Decision : Since p value (0.0129) < significance level (0.05), so we reject the null hypothesis .
[We reject the null hypothesis when p-value is less than the significance level .]
Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.
3(4x + 6) + 7x
12x + 18 + 7x
19x + 18 <==
Answer:
imaginary
Step-by-step explanation:

from the working strp, we know that the number is imaginary
we can't square root the negative number
Answer:
(2,2), (1,-1) and (-1,1).
Step-by-step explanation:
If a point {say P(h,k)} be rotated by 180° about the origin in counterclockwise then the new point generated P' will have coordinates (-h,-k).
Now, if the coordinates of a triangle are (-2,-2), (-1,1), (1,-1) and rotated 180 degrees counterclockwise about the origin then, the coordinates of the new triangle will be (2,2), (1,-1) and (-1,1). (Answer)