Answer:
340
Step-by-step explanation:
The first step is finding the percentage of those who fail within 19 months.
Problems of normally distributed samples can be 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:

The proportion is the pvalue of Z when X = 19. So



has a pvalue of 0.6808.
Jolt is expected to replace 0.6808 of the connectors sold. Out of 500, that is, on average, 0.6808*500 = 340.
Jolt expects to replace, on average, 340 of the connectors sold.
Answer:
B
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
alaikum salam.
<u>2. </u><u>find</u><u> </u><u>cos Ф, sin Ф, tan Ф</u>
cos Ф = 5 / 13
Ф = 67.38
sin Ф = 12 / 13
Ф = 67.38
tan Ф = 12 / 5
Ф = 67.38
-----------------------
<u>3. find sin β, cos β, tan β</u>
sin <u>β</u> = 4 / 5
<u>β</u> = 53.13
cos <u>β</u> = 3 / 5
<u>β</u> = 53.13
tan <u>β</u> = 4 / 3
<u>β</u> = 53.13
3 feet by 5 feet is the original figure.
We can obviously say that the triangle falls into the Not Similar - Different Shape category since it is a triangle, and we were given a rectangle
We can obviously say that the parallelogram (right next to the triangle) falls into the Not Similar - Different Shape category since it is a parallelogram, and we were given a rectangle
The 3 feet by 4 feet falls into the category of Not similar - Different ratio of Side Lengths because the original was 3 feet by 4 feet. And so then one side remained the same while the other went decreased, so they are not in a ratio.
The 12 feet by 15 feet falls into the category of Not similar - Different ratio of Side Lengths because 12 feet by 15 feet can be simplified in a ratio of 4 to 5 while the original is 3 to 5
The 6 feet by 10 feet falls into the category of Similar because 6 feet by 10 feet can be simplified in a ratio of 3 to 5 and the original is 3 to 5.
The 3 feet by 5 feet falls into the category of Similar because it is the same exact figure just rotated!
Most x to the other side: -3y=-x+6
Divide by -3 to get y=x/3+2