Answer:
1) 27/2 2) 8pi 3) 48 4) 16+2pi
Step-by-step explanation:
1) The length of the triangle is 9 (found by finding the distance between (-5,-3) and (4,-3)) and the height is 3 (found by finding the distance between (1,0) and (1,-3)). The area of a triangle is 1/2 (length times height) which in this case is 27/2.
2) The shape is a semicircle, so the area is 1/2 pi*r^2.
1/2 * pi * r^2=8pi
3) B*H=8*6=48
4) The figure is a semicircle and a square.
The area of the semicircle is 1/2 * pi * r^2=2pi
The area of the square is b*h=4*4=16
The area is 16+2pi.
300÷2=150 per min, 6750÷45=150, 150 feet per min
The amount of money I would repay in the first month is $166.67.
The amount of money I would repay in the second month is $166.67.
The amount of money I would repay in the third month is $166.66.
<h3>How much would I repay each month?</h3>
In order to determine the money that would be repaid each of the first two months, multiply 1/3 by the amount of the loan.
1/3 x $500 = $166.67
Amount to be repaid in the third month = $500 - (166.67 x 2) = $166.66
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Answer:
To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean 
and standard deviation 
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation 
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean 
and standard deviation 
In this question:
To obtain a valid approximation for probabilities about the average daily downtime, either the underlying distribution(of the downtime per day for a computing facility) must be normal, or the sample size must be of 30 or more.
Answer:
-7/2 = -2(x-1/2)^2
Step-by-step explanation:
0 = –2x^2 + 2x + 3
Subtract 3 from each side
-3 = –2x^2 + 2x
Factor out the -2
-3 =- 2(x^2 -x)
Take the coefficient of x and divide by 2 and square it
-1 /2 = -1/2 ^2 = 1/4
Add it to each side Remember the -2 on the outside so we need to multiply it by -2
-2 *1/4 = -1/2
-3 -1/2= -2(x^2 -x +1/4)
-7/2 = -2(x^2 -x +1/4)
-7/2 = -2(x-1/2)^2
