-6 because you take 10 away from 4 going into the negatives
7/12 of 1 hour:
1 hour = 60 min.
7/12 * 60
7 * 5 = 35
Francis ran 2 1/2 miles in 35 min.
2 1/2 = 5/2
5/2 miles = 35 min
x miles = 60 min
(Cross Multiply)
5/2 * 60 = 35x
5 * 30 = 35x
150 / 35 = x
x = 30 / 7 = 4 2/7 miles
Francis ran 4 2/7 miles in one hour.
Answer:
42
Step-by-step explanation:
The answer to life the universe and everything is 42
Answer:
A sample size of at least 531 is required.
Step-by-step explanation:
We are lacking the confidence level to solve this question, so i am going to use a 90% confidence level.
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so
Now, find the margin of error M as such
In which
is the standard deviation of the population and n is the size of the sample.
Find the required sample size for the new study.
A sample size of at least n is required.
n is found when 
We have that 
So




Rounding up
A sample size of at least 531 is required.
Answer:
area of the sector = 3.25π yard²
Step-by-step explanation:
The radius of the circle is 3 yards . The central angle is 130° let us say it is the sector angle of the circle. The angle is 130°. If the shaded area of the circle is the sector area of the circle the area of the sector can be computed below.
area of a sector = ∅/360 × πr²
where
∅ = center angle
r = radius
area of the sector = 130/360 × π × 9
area of the sector = 1170π/360
area of the sector = 3.25π yard²
If the shaded area is segment. The shaded area can be solved with the formula.
Area of segment = area of sector - area of the triangle
Area of segment = ∅/360 × πr² - 1/2 sin∅ r²
The picture demonstrate the area of sector and the segment of a circle with illustration on how to compute the area of the triangle