All categories

3 years ago

need help finding the definition of power of a product property, power to a power property, and power of a quotient property.

1 answer:

8 0

The Power of a Product property tells us that when you multiply two numbers with the same base, you can add their exponents to determine the product.
For example, $x^{a}$ * $x^{b}$ = $x^{a+b}$ .

The Power of a Quotient Property tells us that when you divide two numbers with the same base, you can subtract their exponents to determine the quotient.
For example, $x^{a}$ / $x^{b}$ = $x^{a-b}$

You might be interested in

"A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean

Arada [10]

Answer:

85.31% probability that their mean rebuild time exceeds 8.1 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 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846$

If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours.

This is 1 subtracted by the pvalue of Z when X = 8.1. So

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

By the Central Limit Theorem

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

$Z = \frac{8.1 - 8.4}{0.2846}$

$Z = -1.05$

$Z = -1.05$ has a pvalue of 0.1469

1 - 0.1469 = 0.8531

85.31% probability that their mean rebuild time exceeds 8.1 hours.

4 0

3 years ago

The difference of two numbers is 34 and their sum is 338

Assoli18 [71]

X-y=34
x+y=338

We can use elimination in this problem.

2x=372
x=186

186+y=338
y=338-186
y=152

4 0

3 years ago

A fisherman separated of his catch into 2 equal bins.

ohaa [14]

This question doesn't make any sense please reword and i will do my best to solve.

5 0

3 years ago

This table shows the number of students at a school in the years 2014-2016, 2014 1,030 students 2015 ? students 2016 1,300 stude

vladimir1956 [14]

Answer:

it could be the number in 2015 is 2,330

Step-by-step explanation:

Just add the number of the students in 2014-2016.

1,030+ 1,300=2,330

4 0

3 years ago

Rebecca needs 10 1/2 yards of fabric to make a quilt. She has one piece of fabric that is 2 1/2 yards and another piece of fabri

klasskru [66]

Answer:

ans = 4

Step-by-step explanation:

he has 2 1\2 and 4 1\4

to find the ans, we must firstly find out his total amount of fabric, so we add the available fabric

first we add whole numbers

2 + 4 = 6

then we add fractions

1 1

--- + ---

2 4

2 + 1 3

------------- = ---

4 4

after we add the whole no and fraction

6 + 3\4 = 6 3\4

note 10 1\2 is greater than 6 3\4

so to find the part left, we

have

10 1\2 - 6 3\4

as our answer

3 0

2 years ago