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natita [175]
1 year ago
13

I need to find the surface area for this one pls help me

Mathematics
1 answer:
Alex1 year ago
4 0

Step-by-step explanation:

so, you got the volume but don't know how to find the surface area ? that is strange for me. what's the problem ?

the surface of a cube or rectangular prism consists of 6 sides that split (for a rectangular prism) into 3 pairs of equal sides :

top and bottom

left and right

front and back

all we need to do is calculate the areas of these 6 rectangles and add them up. that's it.

in our case

top and bottom : 5×4 × 2 = 20×2 = 40 in²

left and right : 4×4 × 2 = 16×2 = 32 in²

front and back : 5×4 × 2 = 40 in²

so, in total, the whole surface area of the prism is

40 + 32 + 40 = 112 in²

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In a study on the time that
krok68 [10]

The 95% confidence interval of the population mean, in years, is (4.3, 5.3). 4 years is not part of the confidence interval, which means that it contradicts the fact that 39% of students get their college degree in four years.

-----------------------------

To solve this question, we need to find the confidence interval for the amount of time it takes the students to get the degree.

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

-----------------------------

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

df = 80 - 1 = 79

-----------------------------

95% confidence interval

Standard level of confidence, we have to find a value of T, which is found looking at the t table, with 79 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 1.9905.

-----------------------------

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.9905\frac{2.2}{\sqrt{80}} = 0.5

In which s is the standard deviation of the sample and n is the size of the sample.

-----------------------------

The lower end of the interval is the sample mean subtracted by M. So it is 4.8 - 0.3 = 4.3 years.

The upper end of the interval is the sample mean added to M. So it is 4.8 + 0.3 = 5.3 years.

-----------------------------

The 95% confidence interval of the population mean, in years, is (4.3, 5.3). 4 years is not part of the confidence interval, which means that it contradicts the fact that 39% of students get their college degree in four years.

A similar question is given at brainly.com/question/24278748

6 0
2 years ago
What is the product of (4a+6)(3a-8)
Andreyy89

Answer:

12a²-14a-48

Step-by-step explanation:

4a(3a-8) + 6(3a-8)

= 12a²-32a+18a-48

=12a²-14a-48

4 0
3 years ago
It takes Sam 3 hours to rake leaves, but if Laura helps, it takes 2 hours. How long would it take Laura to rake the leaves on he
Klio2033 [76]

Answer:

6 hours

Step-by-step explanation:

Given that:

Time taken by Sam = 3 hours

Sam's rate = 1/3

Time taken : Sam + Laura = 2 hours

Sam's rate + Laura's rate = 1/2

Let time taken by Laura = x

1/3 + 1/x = 1/2

1/x = 1/2 - 1/3

1/x = (3 - 2) / 6

1/x = 1 /6

x = 6

Hencw, it will take 6 hours for Laura alone to rake leaves

6 0
2 years ago
a box of chocolate contains 5 milk chocolate dark chocolate and 5 white chocolate you randomly selecting III chocolates the firs
nordsb [41]

Answer:

independent

Step-by-step explanation:

because each chocolate was a different flavor

5 0
3 years ago
A mathematics teacher wanted to see the correlation between test scores and homework. The homework grade (x) and test grade (y)
Alecsey [184]

Answer:

Step-by-step explanation:

The homework  grade, to the nearest integer, for a student with a test grade of 68 is 69.

Step-by-step explanation:

The general form of the linear regression equation is:

Here,

y = dependent variable = test grade

x = independent variable = homework grade

a = intercept

b = slope

5 0
2 years ago
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