Answer:
She should offer a guarantee of 6.24 years.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
If she is willing to replace 3% of the motors that fail, how long a guarantee (in years) should she offer?
This is the value of X when Z has a pvalue of 0.03. So it is X when Z = -1.88. So
She should offer a guarantee of 6.24 years.
Step-by-step explanation:
Convert the fractions in the yards given to decimals, because then you can divide the length of the sidewalk by the length of each tile. So 2/5 is 2 divided by 5 which equals .4. And 1/8 is 1 divided by 8 which is .125.
So, the sidewalk is 14.4 yards long and each tile is 1.125 yards long.
Divide the length of the sidewalk, 14.4 yards, by the length of each tile, 1.125 yards.
Equals 13.8 tiles, rounded off to 14 tiles.
Hope this helps.
14 2/5 = 72/5
1 1/8 = 9/8
72/5 = 576/40 divide by 45/40 = 576/40 x 40/45 = 23040/1800 = 12.8 tiles
<h3>The two factors are 15 and y^3+6</h3>
Factors multiply to get a product. You can take this process in reverse.
As another example, the number 12 factors into 3*4, where 3 and 4 are the two factors. This idea applies to both numbers and variable expressions as well.
Answer: The answer is 972.
Step-by-step explanation: The formula for the volume if a cylinder is πr2h and the radius is 9 and to the second power is 81. So then the radius multiplied by the height (which is 12) is 972 which is the answer.
