Answer:
8.5 hours
Step-by-step explanation:
30 mins per page ( 15 )
so, 30 × 15 = 450
each hour is 60 minutes so 450 ÷ 60 = 7.5
then add the 1 hour that she already took to write the outline, so 8.5 hrs
Answer:
The estimate is

Step-by-step explanation:
From the question we are told that
The sample mean is 
The sample size is n = 24
The standard deviation is 
Given that the confidence level is 90% the level of significance is mathematically represented as



Next we obtain the critical value of
from the normal distribution table.The value 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
NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)
Generally the margin of error is mathematically represented as

substituting values


The estimate of how much the drug will lower a typical patient's systolic blood pressure(using a 90% confidence level) is mathematically represented as

substituting values


X = 58
The angle directly across from the 32 is also 32 degrees because it uses the same lines at the same angles. That's the Vertical Angles Theorem. The line straight across means that is 180 degrees, which is already split in half by the visible 90 degree angle (given by the box in the corner). Since all the angles are on the same side of the line, the 180 degree angle, they should add up to equal 180 degrees. Also, since 90 is half of 180, the 32 degree angle and the x angle should just add up to equal 90 degrees. So, 90 minus 32 equals 58.
Answer:
Factors are numbers you can multiply to get each number. For example, for 30 you would have factors of 1, 2, 3, 5, 6, 10, 15, and 30. I got that because 1 x 30 = 30, 2 x 15=30, 3 x 10 = 30, and 5 x 6= 30. If the factors are just 1 and that number it is prime. If there are other factors, it is composite. 30 would be composite.
Step-by-step explanation:
Answer:
4n^2
Step-by-step explanation:
8n+4n^2-8n
The first 8n + the other 8n is 0 because you combine like terms