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ExtremeBDS [4]
3 years ago
10

Determine the solution set of (x - 4)2 = 12.

Mathematics
1 answer:
galben [10]3 years ago
3 0
(x-4)2=12
First, you want to divide both sides by 2 to eliminate the 2 outside of the parenthesis. That leaves you with:
(x-4)=6
Then add four to both sides to eliminate the four inside the parenthesis:
x=10

To check work, substitute ten in for x in the original equation:
(10-4)2=12
(6)2=12
12=12, so this is correct :)
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When Harper commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 24 minutes and a
Korvikt [17]

Answer:

\mu -2\sigma = 24-2*3= 18

\mu -2\sigma = 24+2*3= 30

So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

Step-by-step explanation:

For this case we can define the random variable X as the amount of time it takes her to arrive to work and we know that the distribution for X is given by:

X \sim N(\mu = 24, \sigma =3)

And we want to use the empirical rule to estimate the middle 95% of her commute times. And the empirical rule states that we have 68% of the values within one deviation from the mean, 95% of the values within two deviations from the mean and 99.7 % of the values within 3 deviations from the mean. And we can find the limits on this way:

\mu -2\sigma = 24-2*3= 18

\mu -2\sigma = 24+2*3= 30

So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

7 0
3 years ago
PLEASE, I REALLY NEED YOUR HELP!!
Delicious77 [7]

Answer:

|x-5|=2

Step-by-step explanation:

1- Find the mid value between the given numbers 3 and 7

(3+7)/2= 10/2 = 5

2- Find the difference btween the mid value (5) and any of the two given numbers (3 or 7). Use the absolute value for the difference.

|5-3|= 2 or |7-5|=2

3- Arrange the absolute equation like this:

|x-mid value from step 1|= absolute difference from step 2

|x-5|=2

4- Double check the answer with the given values 3 and 7 using our equation |x-5|=2

|3-5|=2 correct

|7-5|=2 correct

7 0
3 years ago
Petes dog weighed 30 pounds it then lost 16% of it's weight how much did pete lose
Paraphin [41]

Answer:

4.8 pounds!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


6 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through (–2, 3) and is parallel to 2x + 3y = 6?
sergeinik [125]
If they are parallel then the coefficients of x and y will remain the same.  Only the constant will change.

2x + 3y = ?
2(-2) +3(3) = -4 + 9 = 5 so ? is 5

ANSWER: 2x + 3y = 5
6 0
3 years ago
1.)Painting Jane is painting one wall of her living room. The wall is rectangular, 13 feet wide by 9 feet high. What is the area
antiseptic1488 [7]

Answer:

1. 117 ft^{2}

2. 54 ft^{2}

3. 1,428 ft^{2}

4. 644 ft^{2}

5. 4,700 ft^{2}

6. 57,600 ft^{2}

Step-by-step explanation:

First use A = w*l

w = width

l = length

It doesn't have to be A = w*l, it could be A = l*w.   It will be the same answer.

1.  3 ft * 9 ft = 117 ft^{2}

2. 3 ft * 18 ft = 54 ft^{2}

3. 42 ft * 34 ft = 1,428 ft^{2}

4. 23 ft * 28 ft = 644 ft^{2}

5. 94 ft * 50 ft = 4,700 ft^{2}

6. 360 ft*160 ft = 57,600 ft^{2}

3 0
2 years ago
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