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egoroff_w [7]
3 years ago
6

5/2x - 1.5 = 3.5 what is the value of x

Mathematics
1 answer:
azamat3 years ago
8 0

Answer:

2

Step-by-step explanation:

<em>Add 1.5 to both sides:</em>

5/2x-1.5+1.5=3.5+1.5

5/2x=5

<em>Multiply both sides by 2/5</em>

(2/5)*(5/2x)=(2/5)*(5)

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Probability that the student scored between 455 and 573 on the exam is 0.38292.

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We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.

<u><em>Let X = Math scores on the SAT exam</em></u>

So, X ~ Normal(\mu=514,\sigma^{2} =118^{2})

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

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

where, \mu = population mean score = 514

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                                                         = 1 - 0.69146 = 0.30854

<em>The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.</em>

Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = <u>0.38292</u>

Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.

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