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Tanya [424]
3 years ago
5

Find the exact solution to the equation. 5^(6-2x) = 25

Mathematics
1 answer:
STatiana [176]3 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

Note that 25 = 5² , then

5^{(6-2x)} = 5²

Since the bases on both sides are 5 then equate the exponents

6 - 2x = 2 ( subtract 6 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2

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Step-by-step explanation:

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3 years ago
Prompt According to the College Board website, the scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507
OlgaM077 [116]

Answer:

The actual SAT-M score marking the 98th percentile is 735.105.

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.

In this problem, we have that:

\mu = 507, \sigma = 111

Find the actual SAT-M score marking the 98th percentile?

This is the value of X when Z has a pvalue of 0.98. So it is X when Z = 2.055.

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

2.055 = \frac{X - 507}{111}

X - 507 = 2.055*111

X = 735.105

The actual SAT-M score marking the 98th percentile is 735.105.

3 0
3 years ago
Read 2 more answers
Round off the nec est tens 160​
kati45 [8]

Answer:

200 is the answer since you round up

3 0
3 years ago
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