<h3>
Answer: 920</h3>
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Explanation:
The front face is a triangle with area of base*height/2 = 15*8/2 = 60 square feet.
The back face is identical to the front face, so we have another 60 square feet.
The left rectangular wall is 20 ft by 8 ft tall. Its area is 20*8 = 160 ft^2
The right slanted rectangular face is 20 ft by 17 ft. Its area is 20*17 = 340 ft^2
Lastly, the bottom rectangle floor is 15 ft by 20 ft to give an area of 15*20 = 300 ft^2
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To summarize so far
- Front face = 60 ft^2
- Back face = 60 ft^2
- Left face = 160 ft^2
- Right slanted face = 340 ft^2
- Bottom floor = 300 ft^2
Add up those areas to get the overall surface area.
60+60+160+340+300 = 920
5= (6+4)x
5= 10x
5= 10x then divide by 10 to get the variable by itself
__ ___
10 10
.5 = x you can use .5 or 1/2
hope this helps!
:)
A definitely has to be one because it's a fact and you need to know what it looks like. B isn't true because the greatest integer function rounds down values. C is also not correct because a one-to-one graph has one x-value for every y-value. This one doesn't. D has to be true because f[0] = 0 because the Greatest Integer Function requires it to be. And E is also correct because that's in the definition of a Greatest Integer Function. So, your answers are A, D and E.
I'm guessing you mean f(x)=15,000(9/8)^x. If this is what you mean, the population would increase by about 12,000 (12030.4870605 to be exact).
Step-by-step explanation:
Starting equation: f(x)=15,000(9/8)^x
You can clean up the 9/8 to be 1.125
Now what you want to do is find the answer to (9/8)^5 which is 1.8020324707
Next multiply 1.8020324707 by 15,000 and you get 27030.4870605
Finally 27,030.4870605 - 15,000 gives you 12030.4870605. Which means that the population increased by about 12,000.
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Answer:
a

b

Step-by-step explanation:
From the question we are told that
The sample size is n = 103
The sample mean of sag is 
The sample mean of swells is 
The standard deviation of sag is 
The standard deviation of swells is 
The number of swell for a randomly selected transformer is k = 100
The number of sag for a randomly selected transformer is c = 400
Generally the z-score for the number of swells is mathematically represented as

=> 
=> 
Generally the z-score for the number of sags is mathematically represented as


