Im not sure how to find the surface area. 35 points

Mathematics

1 answer:

Serga [27]2 years ago

4 0

Answer: 3060 ft^2

Step-by-step explanation:

We will calculate the surface area of the rectangular prism and the triangular prism separately and then subtract off the face that isn't on the surface.

For the rectangular prism:

SA= Ph + 2B

P = 36+36+10+10

P = 92

B = 36*10 = 360

SA = 92*20+2*360

SA = 1840+720

SA = 2560

We subtract off the face on the right of the rectangular prism because it isn't on the surface so we get 2560-200 = 2360

Now for the triangular prism:

SA= Ph + 2B

P = 15+20+25

P = 60

B = 15*20/2

B = 150

SA = 60*10+2*150

SA = 600+300

SA = 900

Again we subtract off the face on the left bescause it's not on the surface so we get 900-200 = 700

Therefore, the total surface area = 2360+700 = 3060 ft^2

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Suppose that the mean time that visitors stay at a museum is 94.2 minutes with a standard deviation of 15.5 minutes. The standar

Maurinko [17]

Answer:

$94.2 -0.994*3.1 = 91.1186$

$94.2 +0.994*3.1 = 97.2814$

And the 68% confidence interval is given by (91.1186, 97.2814)

Step-by-step explanation:

For this case we know that mean time that visitors stay at a museum is given by:

$\bar X = 94.2$

The standard deviation is given by:

$s= 15.5$

And the standard error is given by:

$SE = \frac{s}{\sqrt{n}} =3.1$

And we want to interval captures 68% of the means for random samples of 25 scores and for this case the critical value can be founded like this using the normal standard distribution or excel:

$z_{\alpha/2}= \pm 0.994$