Answer:
20% is what it's equivalent to
Step-by-step explanation:
4 makes up 1/5 of twenty
20 x 5 = 100
The distance from his home to his work place is 118.125 miles
<h3>How to find the distance from his home to his work place?</h3>
He drove from home to work at an average speed of 45 mph. Therefore,
speed = 45 mph
let
time = x
speed = distance / time
distance = 45x
His return trip home took 45 minutes longer because he could only drive at 35 mph. Therefore,
45 minutes = 0.75 hours
distance = 35(x + 0.75)
distance = 35x + 26.25
Therefore,
45x = 35x + 26.25
45x - 35x = 26.25
10x = 26.25
x = 26.25 / 10
x = 2.625
Therefore,
distance = 45(2.625) = 118.125 miles
learn more on distance here: brainly.com/question/21329221
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<u><em>Answer:</em></u>
35 square units
<u><em>Explanation:</em></u>
<u>Area of parallelogram is calculated as follows:</u>
Area = base * height square units
<u>In the given question, we have:</u>
base = 5 units
height = 7 units
<u>Substitute with the givens in the above equation to get the area:</u>
Area of parallelogram = 5 * 7 = 35 square units
Hope this helps :)
To find the test statistic or z-score given sample number (n), sample mean (x), standard deviation (σ), and population mean (μ), we can use

Given that n = 36, x = 24.6, μ = 20, and σ = 12,


From this, we see that the test statistic is 2.3.
Answer: 2.3