Answer:
The sample size is 
Step-by-step explanation:
From the question we are told that
The sample proportion is 
The margin of error is 
Given that the confidence level is 95% the level of significance is mathematically represented as
Next we obtain the critical value of 
from the normal distribution table , the values is
The reason we are obtaining critical value of instead of 
is because
represents the area under the normal curve where the confidence level interval ( 
) did not cover which include both the left and right tail while
is just the area of one tail which what we required to calculate the margin of error
Generally the margin of error is mathematically represented as
substituting values
=>
Answer:
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Step-by-step explanation:
The positive coterminal angle is 213° and negative coterminal angle is -147° and -507°
<u>Explanation:</u>
Coterminal angles are two angles that are drawn in the standard position (so their initial sides are on the positive x-axis) and have the same terminal side
In other words, two angles are coterminal when the angles themselves are different, but their sides and vertices are identical.
Another way to describe coterminal angles is that they are two angles in the standard position and one angle is a multiple of 360 degrees larger or smaller than the other. That is, if angle A has a measure of M degrees, then angle B is co-terminal if it measures M +/- 360n, where n = 0, 1, 2, 3, ...
So,
When angle is 573° then the coterminal angle is
573° - 360 (1) = 213°
573° - 360(2) = -147°
573° - 360 (3) = -507°
Therefore, positive coterminal angle is 213° and negative coterminal angle is -147° and -507°
Answer: Josh borrowed $ 876 to buy the computer.
Step-by-step explanation:
Formula for simple interest : I = Prt
, where P = principal amount
r= rate of interest ( in decimal)
t=time (in years)
Total amount with simple interest to pay : A = P+I
⇒ A = P +Prt
⇒ A = P(1 +rt) (i)
As per given , A = $1,244.34
r= 12.4% = 0.124
t= 3 years
Now, put these values in (i) , we get
Hence, Josh borrowed $ 876 to buy the computer.
Yes it is it basically states that it’s a general result
