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Bess [88]
3 years ago
13

Please explain this to me.

Mathematics
1 answer:
Ivanshal [37]3 years ago
8 0

Answer:

Equation of line:- y=2x-7

slope(m)=2

slope of parallel line (m)=2

∴ Equation of parallel line:- y=2x+b

it passes through the point (-3,6)

6=2(-3)+b   6+6=b

b=12

∴ y=2x+12

<u>OAmalOHopeO</u>

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The sum of the ages of the father and the mother is
sammy [17]

Answer:

The average age would be 45.

Step-by-step explanation:

7 0
3 years ago
What percent of a is b?<br> Please put your answer in percent.
just olya [345]

Answer:

If you know two number a and b and need find, b is what percentage of a, P=b

- 100%

a

4 0
3 years ago
The heights of adult males in the United States are approximately normally distributed. The mean height is 70 inches (5 feet 10
steposvetlana [31]

Using the normal distribution, it is found that the probability is 0.16.

<h3>Normal Probability Distribution</h3>

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

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

  • It 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, which is the percentile of X.

In this problem, the mean and the standard deviation are given by, respectively, \mu = 70, \sigma = 3.

The proportion of students between 45 and 67 inches is the p-value of Z when <u>X = 67 subtracted by the p-value of Z when X = 45</u>, hence:

X = 67:

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

Z = \frac{67 - 70}{3}

Z = -1

Z = -1 has a p-value of 0.16.

X = 45:

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

Z = \frac{45 - 70}{3}

Z = -8.3

Z = -8.3 has a p-value of 0.

0.16 - 0 = 0.16

The probability is 0.16.

More can be learned about the normal distribution at brainly.com/question/24663213

3 0
3 years ago
There are 13 cards of each suit in a deck of 52 cards (13 hearts, 13 diamonds, etc.). What is the probability of
lord [1]

We want to find the probability of randomly drawing a diamond card from a standard deck. We will find that the probability is P = 1/4.

So because we draw a card randomly, every card has the same probability of being drawn. Then the probability of randomly drawing a diamond card is equal to the quotient between the number of diamond cards and the total number of cards.

There are 13 diamond cards and a total of 52 cards, then the probability is:

P = 13/52 = 1/4

If you want to learn more about probability, you can read:

brainly.com/question/15246027

5 0
2 years ago
Factor<br> x ^ 3 + 2x ^ 2 – 5x - 10 = 0
aleksklad [387]

Answer:

Step-by-step explanation:

When you have four terms and 3rd degree equation (the highest power is 3) you will want to try to "factor by grouping"

Group together two terms, watch out for the negative signs!

x^3 + 2x^2-5x-10=0

(x^3 + 2x^2) - (5x+10)=0

Find a common factor in each group and factor it out. You're hoping that what is left in the parenthesis is the same in both cases.

x^2(x+2)-5(x+2)=0

Now you can factor out that (x+2) because it is both terms.

x^2(x + 2) - 5(x + 2)=0

~~~~ ~~~~

Pull these out.

What will be left is the x^2 and the - 5 (dont lose that - in front of the 5)

(x + 2)(x^2 - 5) = 0

If all you have to do is factor, then you're done. It is factored. But if you have to "solve" also, then put x+2=0 and x^2-5=0 and solve.

x = -2 and x = +- sqrt5

7 0
2 years ago
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