<span>m∠CED = 180° − m∠DEB= 90 degrees, by reason corresponding angles of parallel lines are congruent
</span>m∠CFD = 180° − m∠AFD = 90 degrees by reason corresponding angles of parallel lines are congruent
Given that the ball has a thickness of 1 cm and the radius at the outside is 5 cm, thus the radius from inside is 5 - 1 = 4cm.
The <span>approximate volume of rubber used to make the ball is given by the volume of the ball at the outside surface minus the volume of the ball at the inside surface.
i.e.
</span>
<span>

</span>
Answer:
Angle BOC = 28; Angle AOB = 21
Step-by-step explanation:
Because angle AOC = AOB + BOC you can set the equation:
2x+10 + 4x-15 = 49
<solve for x>
6x - 5 = 49
6x = 54
x= 9
<plug in x for the angles>
BOC = 2(9) +10 = 28
AOB = 4(9) - 15 = 21
Answer:
8/x = x/20
x^2=160
x=sqrt(160)
x=sqrt(16*10)
x=sqrt(16)*sqrt(10)
x=4*sqrt(10)
Step-by-step explanation:
Answer:
The margin of error for her confdence interval is of 0.3757.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 18 - 1 = 17
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 17 degrees of freedom(y-axis) and a confidence level of
. So we have T = 2.8982
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
Standard deviation of 0.55 meters.
This means that 
What is the margin of error for her 99% confidence interval?



The margin of error for her confdence interval is of 0.3757.