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PSYCHO15rus [73]
3 years ago
15

Pyramid A is a square pyramid with a base side length of 14 inches and a height of 6 inches. Pyramid B has a volume of 3,136 cub

ic inches. How many times bigger is the volume of pyramid B than pyramid A? Give your answer as a percentage. Provide an explanation and proof for your answer to receive full credit.
Mathematics
1 answer:
TiliK225 [7]3 years ago
4 0

Answer:

800%

Step-by-step explanation:

The pyramid has a volume equal to (14)^2*(6/3)=392. The pyramid B is (3136)/(392)=8 times bigger than pyramid A. As a percentage, it's 800%

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Cual es la ecuacion lineal de estos infinita solucion o no solucion<br>​
coldgirl [10]

Cuando has simplificado la ecuación lo mas posible y las expresiones de los dos lados quedan iguales, hay soluciones infinitas.  Pero, dado que lo has simplificado y son diferentes, no hay solución.

1.) 7x = 12 + 7x - 12

=> 7x = 7x => infinita solución

2.) x - 11 = 11 + x

=> x = 22 + x => no solución

3.) 2(4x - 6) = 8(x + 2)

=> 8x - 12 = 8x + 16 => 8x = 8x + 28 => no solución

4.) 2x - 9 = 2x - 9

=> infinita solución

5.) 8 + 4x = 4x + 10

=> 4x = 4x - 2 => no solución

6 0
3 years ago
Because of staffing decisions, managers of the Gibson-Marion Hotel are interested in the variability in the number of rooms occu
olchik [2.2K]

Answer:

a) s^2 =30^2 =900

b) \frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

c) 23.818 \leq \sigma \leq 41.112

Step-by-step explanation:

Assuming the following question: Because of staffing decisions, managers of the Gibson-Marimont Hotel are interested in  the variability in the number of rooms occupied per day during a particular season of the  year. A sample of 20 days of operation shows a sample mean of 290 rooms occupied per  day and a sample standard deviation of 30 rooms

Part a

For this case the best point of estimate for the population variance would be:

s^2 =30^2 =900

Part b

The confidence interval for the population variance is given by the following formula:

\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}

The degrees of freedom are given by:

df=n-1=20-1=19

Since the Confidence is 0.90 or 90%, the significance \alpha=0.1 and \alpha/2 =0.05, the critical values for this case are:

\chi^2_{\alpha/2}=30.144

\chi^2_{1- \alpha/2}=10.117

And replacing into the formula for the interval we got:

\frac{(19)(30)^2}{30.144} \leq \sigma^2 \leq \frac{(19)(30)^2}{10.117}

567.28 \leq \sigma^2 \leq 1690.224

Part c

Now we just take square root on both sides of the interval and we got:

23.818 \leq \sigma \leq 41.112

5 0
3 years ago
What is the smallest degree of rotation that will map a regular 18 gon on to itself
natali 33 [55]

Answer:

  20°

Step-by-step explanation:

Rotating the figure through an angle equal to the central angle of one "sector" will do the required mapping. That is 360°/18 = 20°.

5 0
3 years ago
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3 years ago
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You read 15 pages of your psychology text in 90 minutes, how many pages can you read in 4 hours
AURORKA [14]

Answer: 40

Step-by-step explanation:

1 hour and 30 min is 15 pages read

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An hour and a half is three parts of 30 so three parts of 15 is five

But you need a whole hour so its ten

Then you add 10 and 30

Its 40 pages in 4 hours.

3 0
3 years ago
Read 2 more answers
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