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Mekhanik [1.2K]
3 years ago
14

If x=5, evaluate x^5 * x^-3

Mathematics
1 answer:
Artyom0805 [142]3 years ago
3 0

Answer: 25

Step-by-step explanation:

Plug in x to the expression.

5^5 * 5^{-3}\\

When there is the same base of exponents is being multiplied the exponents add together and the base stays the same.

So this simplifies to, 5^2.

This then solves to 25.

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WHAT IS A COMPUTER??​
Eduardwww [97]

Answer:

A computer is an electronic device for storing and processing data, typically in binary form, according to instructions given to it in a variable program.

3 0
3 years ago
Find the quotient if the dividend is 2.26 · 108 and the divisor is 0.013.
Sliva [168]

Answer:

17.38*10^8

Step-by-step explanation:

Step one:

given data

The  dividend is 2.26*10^8 (i rewrote the given data, i hope it was mearnt to be so)

divisor is 0.013.

Step two:

Hence the quotient is the whole number gotten when the dividend is divided by the divisor

quotient= 2.26*10^8/0.013.

quotient= 17.38*10^8

5 0
3 years ago
What is the dilation for the transformation below?​
lys-0071 [83]

Answer:

The dialation is of 2

Step-by-step explanation:

QR = 3 units

QS = 2 units

RS = 2 units

Q'R' = 6 units

Q'S' = 4 units

R'S' = 4 units

So as you can see, this triangle has doubled it's size, since it has been multiplied by 2.

Hope this helped!

Have a supercalifragilisticexpialidocious day!

4 0
2 years ago
The length of a text messaging conversation is normally distributed with a mean of 2 minutes and a standard deviation of 0.5 min
Hitman42 [59]
Given:
μ = 2 min, population mean
σ = 0.5 min, population standard deviation

We want to find P(x>3).

Calculate the z-score
 z= (x-μ)/σ = (3-2)/0.5 = 2

From standard tables, obtain
P(x ≤ 3) = P(z ≤ 2) = 0.9772
Therefore
P(x > 3) = P(z > 2) = 1 - 0.9772 = 0.0228

Answer: 0.02275
8 0
3 years ago
A normal distribution has a standard deviation equal to 39. What is the mean of this normal distribution if the probability of s
Naily [24]

Answer:

The mean is \mu = 131

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:

\sigma = 39

What is the mean of this normal distribution if the probability of scoring above x = 209 is 0.0228?

This means that when X = 209, Z has a pvalue of 1-0.0228 = 0.9772. So when X = 209, Z = 2.

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

2 = \frac{209 - \mu}{39}

209 - \mu = 2*39

\mu = 209 - 78

\mu = 131

The mean is \mu = 131

7 0
2 years ago
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