I love these!
Okay, so this is a right angle. That means it is 90 degrees.
So far we know that on side of the angle is 47 degrees.
To get the other angle we will just subtract 90 - 47 = 43
Answer:
Step-by-step explanation:
step 1 simplified like terms -11k +3k =8k
step 2 incorrect should be -4k -20 on the left side distributive property
step 3 added 8k to each side
step 4 added 20 to each side
step 5 divided each side by 4
Answer:
11.18
Step by Step Explanation:
Subtract 9.5 from 21.23
Answer:
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
Step-by-step explanation:
The margin of error of a confidence interval is given by:
In which 
is the standard deviation of the population and n is the size of the sample.
z is related to the confidence level. The higher the confidence level, the higher the values of z, and thus, we wider the confidence interval is.
In this question:
The narrower C.I. is the 95%, and the wider is the 99%. So
(25.53, 37.87): 95% CI
(23.59, 39.81): 99% CI
Answer:
80 pieces of wire.
Step-by-step explanation:
It may not come out evenly. If there is a remainder, it won't matter. Just throw it away and go with the integer answer.
Change 3 3/4 to a decimal
3.75
Change the 25 foot roll to inches.
25 feet * 12 inches / foot = 300 inches.
Now how many pieces of wire do we get.
1 piece of wire/3.75 inches = x pieces of wire / 300 inches
3.75 * x = 300
3.75 * x / 3.75 = 300 / 3.75
x = 80
