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3 years ago

Find the volume A. 150 cm3 B. 180 cm3 C. 90 cm3 D. 90 cm2

Mathematics

1 answer:

valina [46]3 years ago

6 0

Answer:

268 in²

Step-by-step explanation:

The surface area is basically the entire area of the figure. You can do it multiple ways, but this is how I did it. I found the area of each side and added them all together. There are three sets of identical sides. First, we'll calculate the area of the side with lengths 10" and 8".

10 · 8 = 80

There are two of these sides, so currently we have 80 + 80.

Next, the area of the sides with lengths 8" and 3". These are the sides at the top and bottom.

8 · 3 = 24

So to our equation we now have 80 + 80 + 24 +24.

For the final two sides, we have the dimensions 10" and 3".

10 · 3 = 30

To our equation, we add this to get 80 + 80 + 24 + 24 + 30 +30.

Add all these numbers together for 268.

In the correct form, we add the square symbol to show that we are talking about area. The answer is 268 in². Good luck :D

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3 years ago

Consider the following hypothesis test H0 p 20 Ha p 20 A sample of 400 provided a sample proportion p 175 a Compute the value of

Bogdan [553]

Answer:

a) -1.25

b) 0.2112

c) -1.96

Step-by-step explanation:

Data provided in the question:

Sample size, n = 400

H0 : p = 20

$\bar{p}$ = 175

Now,

a) The test statistic is given as:

Z = $\frac{(\bar{p}-p)}{\sqrt{\frac{p(1-p)}{n}}}$

on substituting the respective values, we get

Z = $\frac{(0.175-0.2)}{\sqrt{\frac{0.2\times0.8}{400}}}$

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b) The p-value = 2 × P(Z <-1.25)

Now from the standard normal table

P(Z <-1.25) = 10.56% = 0.1056

Thus,

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c) for a = 0.05,

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3 years ago

Point M MM is located at ( − 4 , − 6 )

Daniel [21]

The point in rectangular form (x, y) = (-4, -6) means that a point is located 4 units to the left of the origin and 6 units below the origin. A representation is shown below.

<h3>How to located a point in a Cartesian plane</h3>

By Euclidean geometry we know that a plane is generated by two non-co-linear lines. Cartesian planes are generated by two orthogonal lines (axes x, y), whose interception is known as origin. The point in rectangular form (x, y) = (-4, -6) means that a point is located 4 units to the left of the origin and 6 units below the origin.

Finally, we proceed to present the location of the given point with the help of a graphing resource.

To learn more on Cartesian planes: brainly.com/question/13266753

#SPJ1

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2 years ago

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Ymorist [56]

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3 years ago

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