Answer: The p-value is 0.154.
Step-by-step explanation:
Since we have given that
We claim that
Null hypothesis :
Alternate hypothesis :
Population mean = 20 hours
Sample mean = 18.5 hours
Sample standard deviation = 4.3 hours
Sample size n = 35
So, test statistic would be
So, the p value would be 0.154.
Hence, the p-value is 0.154.
Answer:
B is the correct answer
Step-by-step explanation:
Angles 1, 2, and 3 added together should make 180 degrees.
So, if angle 2 is 70 degrees, you subtract 70 from 180 (180-70=110) and you're left with 110 degrees.
Angle 1 and 3 add together should make 110 degrees which makes B the only true statement.
The answer uses NMF for formatting, which you can find out about in my profile if needed:
the equation is this:
time = {total paid - 35}/{15}
Put in what we know:
time = {95 - 35}/{15}
time = {60}/{15}
time = 4 hours
Answer:
LCM of 42 and 63 is 126.
Step-by-step explanation:
Find the prime factorization of 42
42 = 2 × 3 × 7Find the prime factorization of 63
63 = 3 × 3 × 7Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 3 × 3 × 7LCM = 126
A) angle 1 = angle 2 - Incorrect
These angles are only on one of the following lines, which means that they do not show that lines C and D are parallel. In addition, angles 1 and 2 are supplementary, so they could not be equal.
B) angle 1 + angle 2 = 180 - Incorrect
Though this is true, this does not prove that lines C and D are parallel because both of these angles are on the same line.
C) angle 2 = angle 3 - Correct
These angles are alternate interior angles and there are angles on both lines, which proves that lines C and D are parallel.
D) angle 2 + angle 3 = 180 - Incorrect
These angles are equivalent, so they cannot add up to 180 degrees unless the intersecting line was perpendicular to both lines C and D.
Hope this helps!! :)
