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Doss [256]
3 years ago
13

What is the first step in solving the equation: 3(x+2) = 12?

Mathematics
1 answer:
yanalaym [24]3 years ago
4 0

Answer:

Divide by 3 on both sides.

Step-by-step explanation:

Original Expression: 3(x+2) = 12

Divide by 3 on both sides: x+2 = 4

Subtract 2 from both sides: x=2

Let me know if this helps!

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The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122 and standard deviation of 22
marin [14]

Answer: 4.27% of adults in the USA have stage 2 high blood pressure.

Step-by-step explanation:

Let x be a random variable that denotes a person with high blood pressure .

Given: Average blood pressure: \mu=122

Standard deviation: \sigma=22

Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.

The probability that an adult in the USA have stage 2 high blood pressure:

P(x\geq160)=P(\dfrac{x-\mu}{\sigma}}\geq\dfrac{160-122}{22})\\\\=P(z\geq1.72)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z

Hence, 4.27% of adults in the USA have stage 2 high blood pressure.

6 0
3 years ago
Erica runs 5.3 kilometers every morning. One day, she runs 0.95 kilometers and then stops to take a break. How much further does
Leviafan [203]

Answer:

1foot(ft.)1yard(yd.)1mile(mi.)===12inches(in.)3feet(ft.)5,280feet(ft.)

Step-by-step explanation:

8 0
3 years ago
Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football
Ronch [10]

Answer:

The probability that Kyle will pick a girl who likes football is 12.5%.

Step-by-step explanation:

The data provided is as follows:

                         Boys        Girls       Total

Basketball          10             8             18

 Football           25             7             32

  Soccer             9             19             28

 Baseball           18            22            40

   Total               62           56            118

Compute the probability that Kyle will pick a girl who likes football as follows:

P(F|G)=\frac{n(G\cap F)}{n(G)}

            =\frac{7}{56}\\\\=0.125\\\\=12.5\%

Thus, the probability that Kyle will pick a girl who likes football is 12.5%.

6 0
3 years ago
Peggy takes 2.5 hours to deliver 328 magazines. What is the rate per hour she is delivering the magazines
grandymaker [24]

Answer: 131 magazines per hour

Step-by-step explanation:

Peggy delivered 328 magazines in 2.5 hours.

To find out the rate at which she delivered these magazines, divide the number of magazines by the time taken to deliver them:

= Magazines / Time in hours

= 328 / 2.5

= 131 magazines per hour

3 0
3 years ago
27/100 irrational or rational?
andriy [413]

Answer:

It would be a rational number.

Step-by-step explanation:

An easy way to tell if a number is rational is by seeing if it can be put in fraction form. As you can see, 27/100 is a fraction, so it is rational.

8 0
3 years ago
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