Find the volume of a pyramid with a square base, where the perimeter of the base is 13.4 in and the height of the pyramid is 7.6
1 answer:
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Using the normal distribution, it is found that there was a 0.9579 = 95.79% probability of a month having a PCE between $575 and $790.
<h3>Normal Probability Distribution</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
The mean and the standard deviation are given, respectively, by:
.
The probability of a month having a PCE between $575 and $790 is the <u>p-value of Z when X = 790 subtracted by the p-value of Z when X = 575</u>, hence:
X = 790:
Z = 1.8
Z = 1.8 has a p-value of 0.9641.
X = 575:
Z = -2.5
Z = -2.5 has a p-value of 0.0062.
0.9641 - 0.0062 = 0.9579.
0.9579 = 95.79% probability of a month having a PCE between $575 and $790.
More can be learned about the normal distribution at brainly.com/question/4079902
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The answer is 37 years old.
I = -425x² + 45500x -650000
I = 450000
-425x² + 45500x -650000 = 450000
-425x² + 45500x - 650000 - 450000 = 0
-425x² + 45500x - 1100000 = 0
Divide all factors by 25:
- 17x² + 1820x - 44000 = 0
This is quadratic equation (ax² + bx + c = 0)
Since, the youngest age is needed, the correct answer is x = 37
I = -425x² + 45500x -650000
I = 450000
-425x² + 45500x -650000 = 450000
-425x² + 45500x - 650000 - 450000 = 0
-425x² + 45500x - 1100000 = 0
Divide all factors by 25:
- 17x² + 1820x - 44000 = 0
This is quadratic equation (ax² + bx + c = 0)
Since, the youngest age is needed, the correct answer is x = 37
Answer:
No, the bid is not correct.
Step-by-step explanation:
One of your employees is bidding on a carpet installation job.
They estimate that it will take 3 hours to install 12 square yards of carpeting.
we know that 1 square yard= 9 square foot.
12 square yard= 12×9 square foot=108 square foot
i.e. it takes 3 hours to carpet 108 square foot.
Hence time taken to carpet 1 square foot= hour
Now the dimension of room is:
11' 6"× 12' 9" i.e. we convert both the units to foot as:
1 foot= 12 inch
11'6"=11+(6/12)=11.5 foot.
and 12'9"=12+(9/12)=12.75 foot.
Hence, dimension of room=11.5 foot×12.75 foot
Hence area of room=11.5×12.75=146.625 square foot.
Time to carpet 146.625 square foot=
hour
=4.0729 hour
But it is given that it takes 12.3 hours to install the carpet.
Hence, the calculations were wrong.