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olya-2409 [2.1K]
3 years ago
10

Which value of x would make TV || OS? 3 8 10 11

Mathematics
1 answer:
garik1379 [7]3 years ago
6 0

Answer:

For x = 10, the lines will be parallel

Step-by-step explanation:

<em><u>For parallel lines in a triangle, their sides must be proportional</u></em>

And,

\frac{x+4}{x-3} = \frac{x+10}{x}

<em>Cross Multiplying</em>

=> x(x+4) = (x-3)(x+10)

=> x^2+4x = x^2+7x-30

=> x^2-x^2+7x-4x = 30\\

=> 3x = 30

<em>Dividing both sides by 3</em>

=> x = 10

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What percentage of babies born in the United States are classified as having a low birthweight (&lt;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
A water park charges $5 for entry into the park and an additional $2 for each of the big water slides. Steven spent $17 on his v
morpeh [17]
LET X= ADDITIONAL AMOUNT
<u>EQAUTION=</u> 5+2x=17
                      -5       -5
                    __________
                      2x=12
                     _______
                      2     2
                       X=6 IS THE ANSWER. HOPE THIS HELPS!!!!!
7 0
3 years ago
Read 2 more answers
Please please help me ! I’m on my final part of the test and I need to finish this question ! I will mark you as brainliest!!
Fittoniya [83]

Answer:

90°

i went on a whim and guessed it was a right angle, sorry I can't provide reasoning! but it is for sure 90°

Step-by-step explanation:

14x + 5 + 90 = 165

14x + 95 = 165

       -95    -95

14x = 70

/14    /14

x = 5

14(5) + 5 +90 = 165

70 + 95 = 165

165 = 165

8 0
3 years ago
A pet supply store sells dog biscuits and cat treats. The store has 27 boxes of dog biscuits and 21 pouches of cat treats/each b
Gre4nikov [31]

Answer:

There are more cats treats. 504 treats

Step-by-step explanation:

27 boxes of dog biscuits. Each 18 biscuits

27*18=486 biscuits

21 pouches of cat treats. Each 24 treats.

21*24=504

3 0
2 years ago
Arrange the circles in order from least circumference to greatest circumference
-Dominant- [34]

Answer:

tws

Step-by-step explanation:

5 0
3 years ago
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