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Debora [2.8K]
2 years ago
15

What is the surface area and volume of this figure?

Mathematics
1 answer:
Sophie [7]2 years ago
6 0
Volume = 28 in squared
surface area = 44 in
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Hi. gvyvyxgcyvjbhcrxtubibyctctvubitctcibivyctbuhbygtfet. can you read this in 10 seconds
Hunter-Best [27]
Yes I done it happy new year and a happy evening wish you a happy Christmas
8 0
2 years ago
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A sample of 38 observations is selected from one population with a population standard deviation of 3.4. The sample mean is 100.
kaheart [24]

Answer:

a. two-tailed test

b. reject H0 if Z>1.96 or Z<-1.96

c. Z = 1.73

d. we have failed to reject the null hypothesis

e. P-value = 0.0418

Step-by-step explanation:

We will use a Z test to resolve this, an it will be a two-tailed test because the hypothesis statements are not indicating a specific direction for the significant difference (H0 : μ1 = μ2 ; H1 : μ1 ≠ μ2), this also means that the significanclevel will be divided between the both tails (2.5% en each tail for the rejection regions). See attached drawing for reference.

We need to find our critical value:

Zα/2 = Z(0.05/2) = 0.025

If we look for 0.025 in a Z table we will find that the critical value is 1.96 to the right, and by symmetry -1.96 to the left. So our decision rule will be to reject H0 if Z>1.96 or Z<-1.96

The Z test will be done using the next equation:

Z = (x⁻1 - x⁻2) - (μ1 - μ2) / √( σ²1/n1 + σ²2/n2

Because we are testing the null hypothesis we know that μ1 - μ2 must be zero if they are supposed to be equal (H0 : μ1 = μ2), so we calculate as follows:

Z = (100.5 - 98.8) - (0) / √( (3.4)²/38 + (5.8)²/51 = 1.7/0.9817 = 1.73

Z<1.96, therefore we have failed to reject the null hypothesis

The P-value for this test would be represented by the probability of Z being greater than 1.73, so we can look for it in any Z table, finding that its value is 0.0418, and because P-value>0.025 we again confirm that we don't have evidence statistically significant to reject the null hypothesis

4 0
3 years ago
If f={ (1,2),(3,5),(4,1)} and g= { (2,3), (5,1),(1,3)} , then (gof)=?
guapka [62]
<h3>Answer: Choice (b)</h3><h3>{ (1, 3),  (3, 1),  (4, 3) }</h3>

==================================================

Work Shown:

The notation "g o f" means g(f(x)). We have f(x) as the inner function that is computed first.

f(x) = {  (1,2),  (3,5), (4,1) }

The x coordinates of each point are: 1, 3, 4

The y coordinates are: 2, 5, 1

So the input x = 1 goes to y = 2 as the output. That output becomes the input of the g(x) function. Using x = 2 as the input for g, we see that 3 is the output. Check out the diagram below to see how each input goes into f, then goes into g to ultimately determine the x,y pairs. So far we've shown that x = 1 ultimately leads to y = 3.

Let's do another input: if x = 3 is plugged into f(x), then the output is 5 because of the point (3,5). Then x = 5 is plugged into g(x) to get x = 5 lead to y = 1. Ultimately x = 3 leads to y = 1 giving us (3,1) as another point.

Lastly, if x = 4 is plugged into f we get y = 1 as an output, which in turn is plugged into g to get 3 as the final output. The point (4,3) is the last ordered pair.

Again there's a lot to keep track of, so it helps to have a diagram as shown below.

4 0
3 years ago
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In a card game, a player earns -5 points for each red card drawn. If the player has a score of -20, how many red cards has the p
Margaret [11]

Answer:

4

Step-by-step explanation:

-20/-5=4

7 0
2 years ago
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Which linear equation has no solution?
attashe74 [19]

9514 1404 393

Answer:

  5x + 12 = 5x - 7

Step-by-step explanation:

There will be no solution when the coefficients of x are the same on both sides of the equal sign and the constants are different. That is the case for ...

  5x + 12 = 5x - 7

This reduces to ...

  19 = 0 . . . . . no value of x will make this be true: NO SOLUTION

3 0
3 years ago
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