Answer:
Step-by-step explanation:
10+18+25+27+35+50=165
n=6
mean =165/6=27.5
x x- mean (x-mean)²
10 -17.5 306.25
18 -9.5 90.25
25 -2.5 6.25
27 -0.5 0.25
35 7.5 56.25
50 22.5 506.25
_____ ________
sum 0 965.5
_____ _________
standard deviation
![=\sqrt{\frac{sum}{n-1} } \\=\sqrt{\frac{965.5}{5} } \\=\sqrt{193.1} \\\approx 13.896](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%5Cfrac%7Bsum%7D%7Bn-1%7D%20%7D%20%5C%5C%3D%5Csqrt%7B%5Cfrac%7B965.5%7D%7B5%7D%20%7D%20%5C%5C%3D%5Csqrt%7B193.1%7D%20%5C%5C%5Capprox%2013.896)
ITS B. The range is the stuff in the right circle. So its 245
Larger PyramidHeight 24 Volume 648
Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27
Slant Height^2 = 4.5^2 + 24^2Slant Height^2 =
<span>
<span>
596.25
</span>
</span>
<span><span>Slant Height^2 = 24.4182308941
</span>
</span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area =
<span>
<span>
520.5281560938
</span>
</span>
<span>Large Pyramid LATERAL Area =<span> 439.5281560938
</span>
</span>
**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters
d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity. The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27
Source : http://www.1728.org/volpyrmd.htm
Answer:
32
Step-by-step explanation:
In 1 gallon, there are 128 ounces.
Divide 128 by 4 and get 32.
For this case, as Josh worked more than 40 hours, he was able to receive a payment
($ 8.20 / h) * (40 h) = 328
1.5(8.20) *8.75 = <span>
<span>107.625
</span></span> 328+107.625= 435.625
the gross earnings for Pruitt are 435.625 $