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zysi [14]
3 years ago
9

Rewrite the equation below so that it does not have fractions. 2/3x-4=5/6 Do not use decimals in your answer.

Mathematics
1 answer:
Leto [7]3 years ago
5 0

Answer:

Rewriting this equation in standard form would be

4x = 29

Hope this helps!!

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What percentage of babies born in the United States are classified as having a low birthweight (<2500g)? explain how you got
lawyer [7]

Answer:

2.28% of babies born in the United States having a low birth weight.

Step-by-step explanation:

<u>The complete question is</u>: In the United States, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g. What percent of babies born in the United States are classified as having a low birth weight (< 2,500 g)? Explain how you got your answer.

We are given that in the United States, birth weights of newborn babies are approximately normally distributed with a mean of μ = 3,500 g and a standard deviation of σ = 500 g.

Let X = <u><em>birth weights of newborn babies</em></u>

The z-score probability distribution for the normal distribution is given by;

                          Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 3,500 g

            \sigma = standard deviation = 500 g

So, X ~ N(\mu=3500, \sigma^{2} = 500)

Now, the percent of babies born in the United States having a low birth weight is given by = P(X < 2500 mg)

         

   P(X < 2500 mg) = P( \frac{X-\mu}{\sigma} < \frac{2500-3500}{500} ) = P(Z < -2) = 1 - P(Z \leq 2)

                                                                 = 1 - 0.97725 = 0.02275 or 2.28%

The above probability is calculated by looking at the value of x = 2 in the z table which has an area of 0.97725.

4 0
3 years ago
The annual interest rate of Mike's savings account is 4.8%, and simple interest is calculated monthly. What is the periodic inte
Reptile [31]

The correct option will be: d. 0.4%

For finding the periodic interest rate , we need to divide the annual interest rate by the number of times interest calculated in a year.

Here, the simple interest is calculated monthly, that means the number of times interest calculated in a year will be 12.

Annual interest rate is 4.8%

So, the periodic interest rate = \frac{4.8}{12}= 0.4%

5 0
3 years ago
Read 2 more answers
Express the following numbers as a ratio between an integer and a natural number.
Julli [10]

Answer:

Step-by-step explanation:

a) 7/5, 3/10, -13/4,-27/1,0

b)36/1,-45/1,21/5, -4/5, 91/6,-2/9

5 0
2 years ago
Solve the following equation (If possible please show work)
natima [27]

Answer:

x = 1.8

Step-by-step explanation:

2 ( 4x-3) - 8 = 4-2x

Distribute

8x -6 -8 = 4- 2x

Combine like terms

8x - 14 = 4 - 2x

Add 2x to each side

8x - 14 +2x = 4-2x+2x

10x-14 = 4

Add 14 to each side

10x-14+14 = 4+14

10x = 18

Divide by 10

10x/10 = 18/10

x = 1.8

8 0
3 years ago
Which of the following could NOT
Mama L [17]

Answer:

C

Step-by-step explanation:

|-12|= 12

this means that it represents a positive number. Each answer represents a positive number other than the town that lies -12 feet below sea level. (sorry if I'm wrong)

6 0
3 years ago
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