Hello here is a solution :
Answer:
C. z=-2.00
Step-by-step explanation:
Data given and notation
represent the sample mean
represent the population standard deviation
sample size
represent the value that we want to test
represent the significance level for the hypothesis test.
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
State the null and alternative hypotheses.
We need to conduct a hypothesis in order to check if the ture mean is equal to 12 or no, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
If we analyze the size for the sample is > 30 and know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:
(1)
z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".
Calculate the statistic
We can replace in formula (1) the info given like this:
C. z=-2.00
Answer:
i. Colonel is about 201 feet away from the fire.
ii. Sarge is about 125 feet away from the fire.
Step-by-step explanation:
Let the Colonel's location be represented by A, the Sarge's by B and that of campfire by C.
The total angle at the campfire from both the Colonel and Sarge = +
=
Thus,
<CAB = - =
<CBA = - =
Sine rule states;
= =
i. Colonel's distance from the campfire (b), can be determined by applying the sine rule;
=
=
=
cross multiply,
b =
= 200.8993
Colonel is about 201 feet away from the fire.
ii. Sarge's distance from the campfire (a), can be determined by applying the sine rule;
=
=
=
cross multiply,
a =
= 124.8073
Sarge is about 125 feet away from the fire.
If they drove a total of 5,300 miles in 2 days, and on the second day they drove 10 more miles then the 1st day.
5,300 ÷ 2 = 2,650
they drove 10 miles less on the first day
2,650 - 10 = 2,640
They drove 2,640 miles on the first day.
Hope this helps. :)
the answer is d
Step-by-step explanation:
well to solve this you would do pythagreom Therom by its a right triangle you don't know x so you would do a^2 +b^2=c^2