All categories

3 years ago

(1/3)exponent 2 + 3 exponent 2

Mathematics

1 answer:

uysha [10]3 years ago

5 0

Answer:

82/9= 9 1/9(mixed number

Step-by-step explanation

This is the answer because you multiply 1/3 twice which gives you 1/9.

Then you multiply 3 twice as well which gives you 9, so now you add 1/9+9=82/9

Step 2 of 2: Simplify, sub-step a: Reduce fraction to lowest terms.

Reduce fraction to lowest terms

1 is the greatest common divisor of 82 and 9. The result can't be further reduced.

Step 2 of 2: Simplify, sub-step b: Convert improper fraction to mixed number.

Convert improper fraction to mixed number

82 over 9

9 and 1 over 9

You might be interested in

Which rigid transformation would map ΔAQR to ΔAKP?

Virty [35]

Rotation around point a

8 0

3 years ago

Read 2 more answers

According to Okun's law, if the unemployment rate goes from 7% to 4%, what

tatyana61 [14]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

NEED HELP CONFUSED IDK WHY THO

Gnom [1K]

Sorry I know the last part only
correct version is Ei Whitney whom was born December 8 1765
the rest got cut off

6 0

3 years ago

Read 2 more answers

The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and

timofeeve [1]

Answer:

$Width = 2\frac{1}{4}cm$

$Length=5\frac{5}{12} cm$

Step-by-step explanation:

Data from the question;

Perimeter of a rectangle is $15\frac{1}{3}$ cm

Length is $3\frac{1}{6}$ cm longer than the width

We are supposed to determine the length and the with of the rectangle;

Assuming, the width x cm

Then, the length is $x+3\frac{1}{6}$ cm

We need to know that the perimeter of a rectangle is given by;

Perimeter = 2 ( length + width)

Therefore;

$15\frac{1}{3}= 2 ( x + (x+3\frac{1}{6}))$

$15\frac{1}{3}=2(2x+3\frac{1}{6})$

Thus;

$15\frac{1}{3}=4x+6\frac{1}{3}$

$4x=9\\x=2\frac{1}{4}$

Therefore;

$Width = 2\frac{1}{4}cm$

$Length = x + 3\frac{1}{6}$

$=2\frac{1}{4}+3\frac{1}{6}$

$=5\frac{5}{12} cm$

Therefore; the length is $5\frac{5}{12}$ cm while the width is $2\frac{1}{4}$ cm

7 0

3 years ago

In its Fuel Economy Guide for 2016 model vehicles, the Environmental Protection Agency gives data on 1170 vehicles. There are a

Murrr4er [49]

Answer:

The first quartile of the distribution of gas mileage is 19.6925 mpg.

Step-by-step explanation:

Problems of normally distributed samples can be 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:

$\mu = 23, \sigma = 4.9$

What is the first quartile of the distribution of gas mileage?

The first quartile has a proportion of 0.25. So this is the value of X when Z has a pvalue of 0.25. It happens between Z = -0.67 and Z = -0.68, so i am going to use $Z = -0.675$

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

$-0.675 = \frac{X - 23}{4.9}$

$X - 23 = -0.675*4.9$

$X = 19.6925$

The first quartile of the distribution of gas mileage is 19.6925 mpg.

8 0

4 years ago