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Answer:
For random samples of 100 seniors, 68% of the sample means fall between 340 and 520
Step-by-step explanation:
As a property of normal distribution, 68% of sample means fall between mean - sigma(430 - 90 = 340) and mean + sigma (430 + 90 = 520) (here, sigma is standard deviation).
Hope this helps!
:)
Answer: 2 hours
Step-by-step explanation:
Given : Working alone at their respective constant rates, machine A and machine B can fill a certain order in 3 hours and 6 hours, respectively.
Let t be the time taken by both of them working together.
Then, according to the question, we have
![\dfrac{1}{t}=\dfrac{1}{3}+\dfrac{1}{6}\\\\\Rightarrow\dfrac{1}{t}=\dfrac{2+1}{6}\ \ [\because\ L.C.M. (3,6)=6]\\\\\Rightarrow\dfrac{1}{t}=\dfrac{3}{6}=\dfrac{1}{2}\\\\\Rightarrow t=2](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B1%7D%7B6%7D%5C%5C%5C%5C%5CRightarrow%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B2%2B1%7D%7B6%7D%5C%20%5C%20%5B%5Cbecause%5C%20L.C.M.%20%283%2C6%29%3D6%5D%5C%5C%5C%5C%5CRightarrow%5Cdfrac%7B1%7D%7Bt%7D%3D%5Cdfrac%7B3%7D%7B6%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5CRightarrow%20t%3D2)
Hence, it will take 2 hours by the two machines .
Answer:
Elijah shaded three numbers, but there are always an even number of factors.
So to run 10km, you need to run 6.25 times the trail. (Or 7 if you only accept whole numbers as answers, we need to round up).
<h3>How many times will you need to run this trail in order to run 10 kilometers?</h3>
If you run the trail x times, then you will run:
y = x*1mi
Now remember that:
1 mi = 1.6 km
Replacing that, we get the linear equation:
y = x*1.6km
Now we want to find the value of x such that:
x*1.6km = 10km
Dividing both sides by 1.6km
x = 10km/1.6km = 6.25
So to run 10km, you need to run 6.25 times the trail. (Or 7 if you only accept whole numbers as answers, we need to round up).
If you want to learn more about linear equations:
brainly.com/question/1884491
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