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dalvyx [7]
2 years ago
11

Which number line represents the solution set for the inequality 2x - 6 2 6(x - 2) + 8?

Mathematics
1 answer:
sertanlavr [38]2 years ago
3 0

Answer:

The inequality 2x - 6 ≥ 6(x - 2) + 8 which is represented by the number line above shows that the variable x takes on values that lie on the left-hand side of the number line value x = -1/2 and includes the point x = -1/2.

Step-by-step explanation:

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
If f(x)=-9x-3, find f(-5)
Andrews [41]

Answer:

42

Step-by-step explanation:

f(-5) = -9 × (-5) - 3 = 45 - 3 = 42

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

5 0
3 years ago
5 feet<br> 4 feet<br> What is the area?<br> 15 square feet<br> 20 square feet<br> 10 square feet
sesenic [268]

it is 20

use the formula W x L =A

width (5) length (4)

5 x 4 is 20

7 0
2 years ago
Deviede 50 kg rice into two friends in 2: 5 ratio​
faust18 [17]

Answer:

50/(2+5) = 7.14285kg can't divide completely

6 0
3 years ago
Is -7+9=-9+7 true,false,or open?
stellarik [79]
This statement will be false. 

-7+9=2
-9+7=-2

2  \neq  -2, therefore, this statement is false.
5 0
3 years ago
Read 2 more answers
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