Step-by-step explanation:
Hey there!
It is said we need to find the unit rate.
What we can do is apply Unitary Method.
3 minutes = 42 push ups
1 minute = 
<u>So, 12 push ups per minute is the unit rate.</u>
In 5 minutes, he will do 12×5 = <u>60 push ups!</u>
Hope it helps :)
Answer:
w+d≥14
Step-by-step explanation:
Here is the full question
Morgan is working two summer jobs, washing cars and walking dogs. She must work no less than 14 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours washing cars, w, and the number of hours walking dogs, d, that Morgan can work in a given week.
Morgan must not work less than 14 hours. This means that the least amount of hours she can work would be 14 hours. This would be represented by the greater to or equal to sign (≥)
So the time she would spend working = w+d≥14
2
Answer:
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the costs of services of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with this difference:
And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.
Answer:
65
Step-by-step explanation:
394/6
When 394 divided by 6 then
we get 65 quotient and 4 remainder
It would be 0.125 because by converting percent to a decimal you must first multiply 0.0025 x 50.
Hope that helps