Step-by-step explanation:
if 4 men did the job in 12 days , then each of the 4 men worked for 12 days , which means they worked for 4*12=48 days , so the job takes 48 work days to complete. If all men work at the same rate, then these other 6 will complete the job in

Therefore, it’ll take the group of 6 men 8 days to complete the job.
We are given the equation:
cy – 7 = 5d
And we are asked to find for y.
First step, add 7 on both sides:
cy – 7 + 7 = 5d + 7
cy = 5d + 7
Next step, divide both sides by c:
cy / c = (5d + 7) / c
<span>y = (5d + 7) / c</span>
Answer:
0.15%
Step-by-step explanation:
We have been given that IQ scores have a bell-shaped distribution with a mean of 97 and a standard deviation of 12. We are asked to find the percentage of IQ scores that are greater than 133 using the empirical rule.
First of all, we will find z-score for given sample score of 133 as z-score tells us a data point is how many standard deviation away from mean.
, where,
= Z-score,
= Sample score,
= Mean,
= Standard deviation.



We know that according to the empirical rule 68% of data lies within one standard deviation of mean, 95% of data lies within two standard deviation of mean and 99.7% of data lies within one standard deviation of mean.
Since 133 is 3 standard deviation above mean, so 0.3% lies above and below 3 standard deviation.
Since we need IQ scores above 133, so we will divide 0.3% by 2 as:

Therefore, 0.15% of IQ scores are greater than 133.
Answer:
<h2>Diameter = 10</h2>
Step-by-step explanation:
If the side of a triangle inscribed in a circle is a diameter, then it is a right triangle.
Use the Pythagorean theorem:
d - diameter
