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makvit [3.9K]
2 years ago
12

What is the solution to |2x + 3| = 15? A. x = 6 B. x = 6 or x = -6 C. x = 6 or x = -9 D. No solutions exist.

Mathematics
1 answer:
Dima020 [189]2 years ago
7 0
Answer:
C. X=6 or X= -9

First Explanation:

2x + 3 - 3 = 15 - 3 (subtract 3 from 3 and 15)

You should get 2x = 12

Then divide 2x by 2

Divide 12 by 2 which you should get
X = 6

Second Explanation:

2x + 3 - 3 = 15 - 3 (subtract 3 from 3 and 15)

You should get 2x = -18

Then divide 2x by 2

Divide -18 by 2 and you should get
X = -9





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Birth weights in the United States are normally distributed with a mean of 3420 g and a standard deviation of 495 g. The Newport
s344n2d4d5 [400]

Answer:

P(2450

And we can find this probability with this difference:

P(-1.96

If we use the normal standard table or excel we got:

P(-1.96

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

Step-by-step explanation:

Let X the random variable that represent the birth weights of a population, and for this case we know the distribution for X is given by:

X \sim N(3420,495)  

Where \mu=3420 and \sigma=495

We are interested on this probability

P(2450

And we can use the z score formula given byÑ

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(2450

And we can find this probability with this difference:

P(-1.96

If we use the normal standard table or excel we got:

P(-1.96

And that represent 95% of the data. so then the percentage below 2450 is 2.5% and above 4390 is 2.5 %

6 0
3 years ago
A bag contain 5 red marbles,4 green marbles and 1 blue marble. A marble is chosen at random from the bag and not replaced; then
jarptica [38.1K]

Answer:

\frac{2}{15}

Step-by-step explanation:

GIVEN: A bag contain 5 red marbles,4 green marbles and 1 blue marble. A marble is chosen at random from the bag and not replaced, then a second marble is chose.

TO FIND: What is the probability both marbles are green.

SOLUTION:

Total marbles in bag =10

total number of green marbles =4

Probability that first marble will be green P(A)=\frac{\text{total green marbles}}{\text{total marbles}}

                                                                    =\frac{4}{10}=\frac{2}{5}

Probability that second marble will be green P(B)=\frac{\text{total green marble in bag}}{\text{total marble in bag}}

                                                                                    \frac{3}{9}=\frac{1}{3}

As both events are disjoint

probability both marbles are green =P(A)\times P(B)

                                                           =\frac{2}{5}\times\frac{1}{3}=\frac{2}{15}

Hence  the probability both marbles are green is \frac{2}{15}

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3 years ago
A number that is prime, between 60-100,1s place is 2 less then 10s place.
Crank
The answer to that would be 97.

Hope this helps! :)
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4 years ago
Consider the enlargement of the rectangle.Which proportional statements are true of the enlargement? Check all that apply
Andreyy89

Answer:

The answer is A and D. I just got the the same question on edge 2020

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3 years ago
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27x^2y^4÷16yz^4×8z÷9xy^4
arlik [135]

I think that the answer is 3x/2yz^3 because I did [(27x^2y^4/16yz^4)*(8z/9xy^4)].

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