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10 months ago

Sat question solve 2^x=x^2

1 answer:

Ivan10 months ago

7 0

The logarithm function can be used to convert large problem of multiplication and division into simple addition or subtraction. The value of x for the given equation is 2.

<h3>What is Logarithm? </h3>

Logarithm function is defined as the inverse of the exponential function.

If a^(b) = c, then b = log(c) at the base of a.

The given equation is as below,

2^x=x^2

Take logarithm both sides,

x log(2) = 2 log(x)

=> x / log(x) = 2 / log(2)

Compare the denominator and numerator at both sides of the equation to get,

x = 2.

Hence the solution of the given equation is x = 2.

To know more about logarithm click on,

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Answer:

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2 years ago

Clayton biked 3/8 of the 14.5 miles between his house and the beach.How many miles does he still need to bike before he reaches

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Explanation: Given: Clayton bikes 3/8 of 14.5 miles. 38⋅14.51=43.58=5.4375 miles biked. Left to bike to beach: 14.4−5.4375=9.0625 miles. OR. 38 biked, means 58 left to bike: 58⋅14.51=72.58=9.0625 miles. Was this helpful?

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3 years ago

Read 2 more answers

Planes X and Y and points C, D, E, and F are shown.

viva [34]

Answer:

The answer is below

Step-by-step explanation:

The planes are shown in the image below.

From the image, points D and E are on plane Y, while point F is on plane X.

A) The line that can be drawn through points C and D is contained in plane Y.

This statement is wrong because point C is not in plane Y

B) The line that can be drawn through points D and E is contained in plane Y.

Correct. Since both points D and E are on plane Y, hence The line that can be drawn through points D and E is contained in plane Y.

C) The only point that can lie in plane X is point F.

This statement is correct because from the image only point F is on plane X.

D) The only points that can lie in plane Y are points D and E.

This statement is correct because from the image only point D and E is on plane Y.

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2 years ago

The Office of Student Services at a large western state university maintains information on the study habits of its full-time st

Vera_Pavlovna [14]

Answer:

0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .