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gregori [183]
3 years ago
7

Which expression is equivalent to 4^6 ⋅ 4^−8?

Mathematics
1 answer:
grin007 [14]3 years ago
5 0

Answer:

\dfrac{1}{4^2}

Step-by-step explanation:

The exponents add:

  4^6·4^-8 = 4^(6-8) = 4^-2

A negative exponent means the same as the reciprocal of the opposite positive exponent.

  4^-2 = 1/4^2

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in 2018 GRE scores were normally distributed with a mean of 303, and standard deviation of 13. Standford University Graduate sch
eduard

Answer:

The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.

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 = 303, \sigma = 13

What is the minimum score needed to be considered for admission to Stanfords graduate school?

Top 2.5%.

So X when Z has a pvalue of 1-0.025 = 0.975. So X when Z = 1.96

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

1.96 = \frac{X - 303}{13}

X - 303 = 13*1.96

X = 328.48

The minimum score needed to be considered for admission to Stanfords graduate school is 328.48.

3 0
3 years ago
Triangle STU has reflected over line m to form Triangle S'T'U'. What is the value of y?
Lera25 [3.4K]

Answer:

  D.  5

Step-by-step explanation:

The congruence of S'T' with ST tells you ...

  9 = x +7

  2 = x

The congruence of S'U' and SU tells you ...

  4x = y +3

  4·2 -3 = y = 5 . . . . substitute the value of x; subtract 3

3 0
3 years ago
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