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Marina86 [1]
3 years ago
15

Solve for x: -4(3x − 2) = 6x + 2

Mathematics
2 answers:
loris [4]3 years ago
6 0

Answer:

x=\frac{1}{3}

Step-by-step explanation:

\text{We're given the following:}\\-4(3x-2)=6x+2\\\\\text{First, let's distribute the -4:}\\-12x+8=6x+2\\+12x\qquad+12x\\\\\text{That gives us:}\\8=18x+2\\-2\qquad-2\\6=18x\\\\\text{Now divide both sides by 18:}\\\frac{6}{18}=x\\\\\text{And simplify the fraction:}\\x=\frac{1}{3}

stepladder [879]3 years ago
4 0

Answer:

x = 1/3

Step-by-step explanation:

-4(3x − 2) = 6x + 2

Distribute

-12x +8 = 6x +2

Add 12x to each side

12x-12x+8 = 6x+2+12x

8 = 18x+2

Subtract 2 from each side

8-2 = 18x+2-2

6 = 18x

Divide each side by 18

6/18 = 18x/18

1/3 =x

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The lengths of pregnancies are normally distributed with a mean of days and a standard deviation of days. a. Find the probabilit
Alik [6]

Answer:

a) The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of Z = \frac{X - \mu}{\sigma}, in which \mu is the mean and \sigma is the standard deviation.

b) We have to find X when Z has a p-value of \frac{a}{100}, and X is given by: X = \mu - Z\sigma, in which \mu is the mean and \sigma is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean \mu, standard deviation \sigma

a. Find the probability of a pregnancy lasting X days or longer.

The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of Z = \frac{X - \mu}{\sigma}, in which \mu is the mean and \sigma is the standard deviation.

b. If the length of pregnancy is in the lowest a​%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

We have to find X when Z has a p-value of \frac{a}{100}, and X is given by: X = \mu - Z\sigma, in which \mu is the mean and \sigma is the standard deviation.

8 0
3 years ago
Crafter's Warehouse sells 3 yards of gray tulle for $5.63. They sell 6 feet of black tulle for $3.58. Which tulle has the better
Sindrei [870]

Answer:

The black tulle is the better buy

Step-by-step explanation:

You will need to find the unit rate for the tulle...in other words cost per 1 yard to see which is the better buy.

You also need to make sure they are in the same units. So, we will convert the 3 yards to feet....which will be 9 feet

5.63/9 = 0.62555 per foot

3.58/6 = 0.59666 per foot

3 0
3 years ago
I need help on this question
Alenkinab [10]
Answer : I’ll say it’s B.
If it’s wrong sorry. I tried.
6 0
3 years ago
Read 2 more answers
What is 4 over 8+ 2 over 8+ 2 over 4?
Lostsunrise [7]
You need LCD or the least common denominator. For 4 over 8 and 2 over 8 have the same denominators except for 2 over 4. You need to ask yourself what times 4 equals to 8? 4 times 2 equals to 8, so multiply 4x2 for the denominator and for the numerator multiply 2x2. Whatever you do to the denominator you have to do the same thing to the numerator. You multiplied 4x2 for the denominator and 2x2 for the numerator and now your fraction is 4 over 8. Now add 4 over 8+ 4 over 8 which is 8 over 8 or 1. Now add 1+ 2 over 8 which is 1 2/8. If you simplify 1 2/8 it will become 1 1/4.

Hope that helped:D
3 0
3 years ago
Read 2 more answers
A student claims that the expression “9 times the sum of a number and 13" is translated to the algebraic expression 9n + 13. Is
FrozenT [24]

Answer:

No, the student is not correct. The correct expression is 9(n+13).

Step-by-step explanation:

"9 times the sum of a number and 13" means you must multiply 9 by the sum, not just by the number. 9n + 13 would be "the sum of 9 times a number and 13." Slightly different wording.

4 0
3 years ago
Read 2 more answers
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