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2 years ago

9 minus t equals t plus 3

Mathematics

2 answers:

Zarrin [17]2 years ago

8 0

9-t=t+3
Subtract t on both sides
-2t=-6
Divide by -2 to leave the variable by itself
t=3

Ray Of Light [21]2 years ago

5 0

Get T alone on one side. T=3

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Marysya12 [62]

Answer:

a) 15.87% of the scores are expected to be greater than 600.

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d) 53.28% of the scores are expected to be between 450 and 600.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

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$\mu = 500, \sigma = 100$

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$Z = 1$ has a pvalue of 0.8413.

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15.87% of the scores are expected to be greater than 600.

b. Greater than 700

This is 1 subtracted by the pvalue of Z when X = 700. So

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2.28% of the scores are expected to be greater than 700.

c. Less than 450

Pvalue of Z when X = 450. So

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30.85% of the scores are expected to be less than 450.

d. Between 450 and 600

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X = 600

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