Answer:
6 weeks
Step-by-step explanation:
x = # of weeks
15 times 8 times 5 = 1 week,
so 15 times 8 times 5 times x = 3600 is the equation
Solve for x to get x = 6
Answer:
We need a sample of at least 752 students.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error of the interval is:
90% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
How large of a sample must she have to get a margin of error less than 0.03
We need a sample of at least n students.
n is found when M = 0.03.
We have no information about the true proportion, so we use 
.
Rounding up
We need a sample of at least 752 students.
Answer:
C.
Step-by-step explanation:
x is bisecting the baseline (cutting it in 2 halves of 6).
the third angle in the main overall triangle is 60 degrees.
remember, all angles in a triangle always add up to 180 degrees.
so, 180 - 60 - 60 = 60.
that means that all 3 angles are of equal size (60). and that means that all 3 sides must have the same length.
=> y = 12
and now using Pythagoras to calculate the height (x) of the triangle :
y² = x² + 6² (remember, this side is only half the baseline)
12² = x² + 6²
144 = x² + 36
x² = 108
x = sqrt(108) = sqrt(36×3) = 6×sqrt(3)
Answer: (
x
,
−
x/
3
−
5
/3
)
Step-by-step explanation:
