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2 years ago

What can you divide a2b5 by to get a quotient of 1?

Mathematics

1 answer:

Kitty [74]2 years ago

8 0

9514 1404 393

Answer:

a^2b^5

Step-by-step explanation:

Anything divided by itself is 1.

That is, anything multiplied by its reciprocal is 1. This value (the reciprocal of the expression) is called the "multiplicative inverse." Its value is that the product of an expression and its multiplicative inverse is 1, the multiplicative identity element. (Anything times 1 is itself.)

So, to get 1 as a product, multiply by 1/(a^2b^5), which is to say, divide by a^2b^5 to get 1 as a quotient.

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A population has a mean, μ = 89 and a standard deviation,σ = 24.

Cloud [144]

Answer:

$\bar X \sim N(\mu=89, \frac{24}{\sqrt{64}}=3)$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

Let X the random variable of interest for a population. We know from the problem that the distribution for the random variable X is given by:

$X\sim N(\mu =89,\sigma =24)$

We take a sample of n=64 . That represent the sample size.

The sample mean is defined as:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And if we find the expected value and variance for the sample mean we got:

$E(\bar X) = \mu$

Var(\bar X) = \frac{\sigma^2}{n}[/tex]

The distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\bar X \sim N(\mu=89, \frac{24}{\sqrt{64}}=3)$

3 0

3 years ago

Make a decision about the given claim. Use only the rare event rule, and make subjective estimates to determine whether events

V125BC [204]

Answer:

the answer is D

Step-by-step explanation:

5 0

2 years ago

WILL GIVE BRAINIEST <br> NEED HELP ASAP<br> DUE IN 10 MINS

tensa zangetsu [6.8K]

Answer:

Scientist B

Step-by-step explanation:

1 kg = 2.2 lbs

1L = 2.11 pints

So let's convert Scientist B's data.

3.0lbs salt = 3.0/2.2 = 1.36kg

6 pints water = 6/2.11 = 2.84L water

Scientist A

1kg salt

3.0L water

We now figure out the concentration of salt in water.

Scientist A Scientist B

1kg/3.0L = .33kg/L 1.36kg/2.84L = .48kg/L

So scientist B had a more concentrated solution.

5 0

3 years ago

Read 2 more answers

Anyoneee help im stuck !! 15 points!!

Gnom [1K]

Answer:

Given: $\angle 1$ , $\angle 2$ , $\angle 3$ , $\angle 4$ formed by two intersecting segments.

In the given figure;

Linear pair states that a pair adjacent angle formed when two lines intersect.

Then by definition of linear pairs,

$\angle 1$ and $\angle 2$ forms a linear pair

Also, $\angle 2$ and $\angle 3$ forms a linear pair.

Linear pair postulates states that the two angle that forms a linear pair are supplementary(i,e add up to 180 degree).

Then by linear pair postulates;

$m\angle 1+ m\angle 2 =180^{\circ}$

and

$m\angle 2+m \angle 3 =180^{\circ}$

Substitution property of equality states that if x =y then, x can be substituted in for y or vice -versa.

then by substitution property of equality:

$m\angle 1+m\angle 2=m\angle 2+ m\angle 3$

Addition property of equality states that:

if x =y, then x + z = y+ z

By addition property of equality:

$m\angle 1 =m\angle 3$ hence proved!

6 0

3 years ago

Charlie guesses that his dog weighs 34. 5 pounds. The dog actually weighs 32. 7 pounds. What is the percent error in Charlie’s g

expeople1 [14]

Percent error is the amount of error to actual value, in percent. The percent error in Charlie’s guess is approximately: Option D: 5.5%

<h3>How to calculate the percent error?</h3>

Suppose the actual value and the estimated values after the measurement are obtained. Then we have:

Error = Actual value - Estimated value

To calculate percent error, we will measure how much percent of actual value, the error is, in the estimated value.

$\rm Percent \: Error = |\dfrac{Error}{Actual value}|\times 100 \\\\Percent \: Error = | \dfrac{\text{(Actual Value - Estimated Value)}}{Actual value}|\times 100 \\$

(here |x| is such that it makes x non negative, thus, |-5| = 5, and |5| = 5)

For the given case, it is specified that:

Actual weight of dog = 32.7 pounds

Guessed weight of dog, by Charlie : 34.5 pounds.

Error = 32.7 - 34.5 = -1.8 pounds

Thus, percent error in Charlie's guess is calculated as:

$\text{Percent Error} = |\dfrac{-1.8}{32.7}| \times 100 \approx 5.5\%$

Hence, the percent error in Charlie’s guess is obtained approximately is given by: Option D: 5.5%

Learn more about percent error here:

brainly.com/question/25749180

3 0

2 years ago