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Margarita [4]
2 years ago
13

15 POINTS!!! WILL GIVE BRAINLIEST PLEASE HELP ME!!!

Mathematics
1 answer:
Alina [70]2 years ago
6 0

Answer:

#1Without the roof panels, the surface area (except for the open panel) is 176.25 sq. ft.

With the roof panels, the surface area (except for the open panel) is 196.67 sq. ft. 

The area of the rectangular sections (the sides without gables) is given by 10*6 = 60 sq. ft.  There are two of these sides, for a total of 2*60 = 120 sq. ft.

The gables are triangles, which have an area formula of

A = 1/2bh

For the gables, this is 1/2(1.5)(7.5) = 5.625 sq. ft.  Since there are two of them, this makes 2*5.625 = 11.25 sq. ft.

The closed side under a gable has an area of 6*7.5 = 45 sq. ft.

The two roof panels have an area of (4 1/12)(2 1/2) each:

49/12(5/2) = 245/24

There are two of them, which makes 490/24 = 20.42 sq. ft.

Without the roof panels, we have 45+11.25+120 = 176.25 sq. ft.

With the roof panels, we have 45+11.25+120+20.42 = 196.67 sq. ft.

#2 Solar cells can transform solar energy into electric energy. In a sunny day, the average power the sun incides on earth is approximately 1,000 watts (heat). if we had a 100% efficient solar cell, it would mean that the total amount of sunlight energy would be transformed into electrical energy, i.e. 1,000 watts of power. Its efficiency could be 1000 watts(solar cells)/1000(sunlight)x100(to express it in percentage).

Since the solar cells that will be mounted in the roof will produce 41 watts per square meter, its efficiency is calculated by dividing 41 /1,000x100. This gives us an efficiency of 4.1%. In order to generate 1,000 watts of power, we will need to use a simple rule-of-three, described like the following:

if 41 watts are produced by the solar cells in 1 square meter, how many square meters will be needed to produce 1,000 watts?

i.e. 41 watts   ----------- 1 sq meter

    1,000 watts ------------   x

Finally, we can assume that the solar cell system will produce this amount of energy constantly during a full day cycle (using solar cells at day and batteries at night).

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13. Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (u, P, o) for the indica
liraira [26]

Answer:

Null Hypothesis, H_0 : P = 4.1%

Alternate Hypothesis, H_A : P > 4.1%

Step-by-step explanation:

We are given that a psychologist claims that more than 4.1% of the population suffers from professional problems due to extreme shyness.

<u><em>Let p = true percentage  of the population that suffers from extreme shyness.</em></u>

So, Null Hypothesis, H_0 : P = 4.1%

Alternate Hypothesis, H_A : P > 4.1%

Here, <em><u>null hypothesis states that</u></em> % of the population who suffers from professional problems due to extreme shyness is equal to 4.1%.

On the other hand, <u><em>alternate hypothesis states that</em></u> more than 4.1% of the population suffers from professional problems due to extreme shyness.

So, the above hypothesis would be appropriate for conducting the test.

8 0
3 years ago
If you roll two number cubes, what is the probability of their sum being seven or higher?
DIA [1.3K]
27 rolls of being 7 or higher
8 0
2 years ago
Read 2 more answers
How do you solve number 27 and 28
Elanso [62]

27) if a = 1/a

multiply both sides by a

a * a = 1/a * a

a^ 2 = 1

Answer is D) 1

28)

6 x 75 = 450

7 x 80  = 560

8 x 85 = 680

9 x 90 = 810

Total all students in class = 6 + 7 + 8 + 9 = 30 students

Total score of whole class:

450 + 560 + 680 + 810 = 2500

Average = 2500 /30 = 83.3 = 83 1/3

Answer is C) 83 1/3

8 0
3 years ago
-129 = -48 - n <br> Thank you
Flauer [41]

−129=−48−n

Simplify:

−129=−48+−n

Flip the equation.

−n−48=−129

Add 48 to both sides.

−n−48+48=−129+48

−n=−81

Divide both sides by -1.

−n/−1  =  −81/−1

n=81


3 0
3 years ago
Factor, show all steps. x2 – 16x + 64 = 0
lora16 [44]

x^2-16x+64=0

Method 1.

Use (a-b)^2=a^2-2ab+b^2

x^2-2\cdot x\cdot8+8^2=0\\\\(x-8)^2=0\\\\(x-8)(x-8)=0

Method 2.

x^2-8x-8x+64=0\\\\x(x-8)-8(x-8)=0\\\\(x-8)(x-8)=0

The solution to this equation is the number 8

8 0
3 years ago
Read 2 more answers
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