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3 years ago

Find the Total Surface Area of the following Triangular Prism’s NET……

Mathematics

1 answer:

Zielflug [23.3K]3 years ago

8 0

Answer:

170 cm^2.

Step-by-step explanation:

This consists of 3 rectangles of same area and 2 triangles of the same area.

= 3 * 10 * 5 + 2 * 1/2 * 5 * 4

= 150 + 20

= 170 cm^2.

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Find a geometric power series for the function, centered at 0, by the following methods. f(x) = 7/8 + x by the technique shown i

castortr0y [4]

Answer:

f(x) = 7/8 + n=0 = 7/8 so the answer you looking for would be: n=0

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3 years ago

Graph y=sinx and y=cosx in the same viewing window. Which function could be the derivative of the other? Defend answer in terms

lesya [120]

Cos x is the derivative of sin x.

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4 years ago

The graph below shows a line segment XY: graph of line segment XY with endpoints at negative 1 comma 3 and 1 comma negative 1 Wh

yan [13]

Slope = (y2 - y1) / (x2 - x1)
(-1,3)....x1 = -1 and y1 = 3
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7 0

3 years ago

Read 2 more answers

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard devia

Butoxors [25]

Answer:

Probability that their mean is above 215 is 0.0287.

Step-by-step explanation:

We are given that a bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50.

For this, 40 different applicants are randomly selected.

<em>Let X = ratings for credit</em>

So, X ~ N( $\mu=200,\sigma^{2}=50^{2}$ )

Now, the z score probability distribution for sample mean is given by;

Z = $\frac{X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 200

$\sigma$ = standard deviation = 50

$\bar X$ = sample mean

n = sample of applicants = 40

So, probability that their mean is above 215 is given by = P( $\bar X$ > 215)

P( $\bar X$ > 215) = P( $\frac{X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{215-200}{\frac{50}{\sqrt{40} } }$ ) = P(Z > 1.897) = 1 - P(Z $\leq$ 1.897)

= 1 - 0.97108 = 0.0287

Therefore, probability that their mean is above 215 is 0.0287.

5 0

3 years ago

a 15 wire is tied from the top of a pole to a stake in the ground. if the stake is 5 ft from the base of the pole find the heigh

Ainat [17]

Imagine this pole of height h sticking out of the ground. A wire of length 15 feet connects the top of the pole to a stake in the ground which is located 5 feet from the base of the pole. This arrangement creates a right triangle with legs h (the height of the pole), 5 ft (distance of bottom of pole from stake) and hypotenuse 15 ft.

We can find the height of the pole (h) using either trig or the Pythagorean Theorem. If we use the P. T., then h^2 + 5^2 = 15^2.

This results in h^2 + 5^2 = 15^2, or h^2 + 25 = 225, and so:

h^2 = 200. Thus, h = +√200 = +10√2.

The height of the pole is 10√2 ft, or approx. 14.14 ft.

5 0

3 years ago