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lana66690 [7]
2 years ago
15

What is the lateral area of the rectangular prism? Assume the prism is resting on its base.

Mathematics
2 answers:
garri49 [273]2 years ago
7 0
<span>A rectangular prism has four lateral surfaces. If the sides of the base are L and W, two of the lateral surfaces are rectangles of side L and H, and the other two are rectangles of sides W and H. Then, the lateral area is the sum of the areas of the four lateral rectangles: 2 * L * H + 2 * W * H= 10 * 4 = 2 * 10 * 4 + 2 * 5 * 4 = 2*40 + 2 * 20 = 80 + 40 = 120.</span>
aleksklad [387]2 years ago
3 0

Answer:180

Step-by-step explanation: the correct answer is 120 but on k12 it is 180. Just took the test

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An environmental scientist wants to use a 95% confidence interval to estimate the mean number of hours per day her solar panel r
MissTica

Answer:

a) The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

b) The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

Step-by-step explanation:

We have the standard deviation for the sample. So we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 48 - 1 = 47

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 47 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0117

The margin of error is:

M = T*s = 2.0117*2.3 = 4.6

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 7.1 - 4.6 = 2.5 hours of sunlight per day

The upper end of the interval is the sample mean added to M. So it is 7.1 + 4.6 = 11.7 hours of sunlight per day

a) Compute the 95% confidence interval for the mean.

The 95% confidence interval for the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

b) Explain your confidence interval from part (a) in context.

The confidence interval is built from a sample of 48 days. However, we can be 95% sure that for all days, the mean number of hours per day her solar panel receives direct sunlight is between 2.5 and 11.7.

6 0
3 years ago
BRAINLIEST TO CORRECT
ella [17]

9514 1404 393

Answer:

  60

Step-by-step explanation:

Let x represent the number of members last summer. Then 90% more is 1.9x. We are told this is 114, so we have ...

  1.9x = 114

  x = 114/1.9 = 60

There were 60 members last summer.

6 0
3 years ago
Which of the following statements are true for sin (-430°)
stira [4]

Answer:

Step-by-step explanation:

sin(-430)=-sin(430)=-sin(360+70)=-sin 70

8 0
2 years ago
What is 1/4 divided by 5?
kap26 [50]
1/4 divided by 5 is 0.05 or 1/20
8 0
3 years ago
10x + 10y = −10<br> 9x + 10y = −18
andreev551 [17]

Answer:

Step-by-step explanation:

10x+10y=-10

9x+10y=18

= 10x+10y=-10

-9x-10y=18

= x=8

step two is to find y:

10x+10y=-10

10(8)+10y=-10

80+10y=-10

10y=-90

y=-9

your answer:

(x,y)= (8,-9)

5 0
3 years ago
Read 2 more answers
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