Answer:
At least 68% of observations lie between 22 and 26 months.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 24
Standard deviation = 2
22 = 24 - 2
22 is one standard deviation below the mean
26 = 24 + 2
26 is one standard deviation above the mean.
So, by the empirical rule, at least 68% of observations lie between 22 and 26 months.
Answer:
First statement: 10 road workers take 5 days to complete a work, working 2 hours a day.
Let us calculate how many days 2 workers will need, if they were to work at the same pace (i.e. each working 2 hours a day). The workforce is now decreased to 2 divided by 10 = 1/5 (i.e. one-fifth).
Therefore proportionately, the time will increase to 5 days divided by 1/5, (i.e. 5 / (1/5) = 25 days.
We now know that 2 workers will need 25 days to finish the work, if they work for 2 hors a day.
Now the question is what will happen if the two people work 5 hours per day, instead of 2 hours per day?
The labor they put in has increased to 5 divided by 2 = 2.5 (i.e. 2 and half times).
Consequently, the time needed to finish the work will decrease to 25 divided by 2.5 (i.e. ( 25 / 2.5 ) = 10. days.
The answer : 10 Days.
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➷ As they are similar triangles, there will be a scale factor between them. You may be given one pair of values on the triangle. Divide the larger value by the smaller value in order to find the scale factor between the triangles. For example, if the larger triangle has a length of 6cm and the smaller triangle has a length of 3cm, the scale factor would be 2. You would then multiply the given side by the scale factor to get the length.
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➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
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Answer:
A 3/5
Step-by-step explanation:Here’s one way to solve this problem.
Write sixty percent as a fraction having a denominator of one hundred.
Now, change sixty-hundredths to an equivalent fraction having a denominator of twenty, the total number of pitches.
Do this by dividing the numerator and the denominator by five.
Then, simplify the fraction twelve-twentieths by dividing the numerator and the denominator by four.
So, Lenora hit three-fifths of the pitches.
