Answer:
102.222 square yards of light.
Step-by-step explanation:
From the above question, the yard had the dimensions 40 feet long and 23 feet wide.
Hence, the yard is rectangular in shape.
We have to find the area of the yard.
The formula is given as:
Area = Length × Width
= 40 feet × 23 feet
= 920 square feet
Converting to yards
1 square foot = 0.111 square yard
920 square feet = x
Cross Multiply
x = 920 × 0.111 square yard
x = 102.222 square yards.
Therefore, Robbert would need 102.222 square yards of light.
Answer:
see explanation
Step-by-step explanation:
the perimeter is the sum of the 3 sides of the triangle
add the parts of the ratio 21 + 8 + 14 = 43
divide the perimeter by 43 to find the value of one part of the ratio
= 5 ft ← 1 part of the ratio, hence
21 parts = 21 × 5 = 105 ft
8 parts = 8 × 5 = 40 ft
14 parts = 14 × 5 = 70 ft
the 3 sides of the triangle are 105 ft, 40 ft and 70 ft
Let
rA--------> radius of the circle A
rB-------> radius of the circle B
LA------> <span>the length of the intercepted arc for circle A
</span>LB------> the length of the intercepted arc for circle B
we have that
rA/rB=2/3--------> rB/rA=3/2
LA=(3/4)<span>π
</span>
we know that
if <span>Both circle A and circle B have a central angle , the ratio of the radius of circle A to the radius of circle B is equals to the ratio of the length of circle A to the length of circle B
</span>rA/rB=LA/LB--------> LB=LA*rB/rA-----> [(3/4)π*3/2]----> 9/8π
the answer is
the length of the intercepted arc for circle B is 9/8π
Answer:
540°
Step-by-step explanation:
Just divide the shape into triangles and count the number of triangles. This is what your formula is doing for you. It's telling you how many triangles make up the shape and then multiplying that number by 180 degrees to find the sum of your interior angles.
Answer:
The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).
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
.
A recent survey showed that among 100 randomly selected college seniors, 20 plan to attend graduate school and 80 do not.
This means that 
68% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 68% confidence interval for the population proportion of college seniors who plan to attend graduate school is (0.16, 0.24).