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3 years ago

24+28 written in distributive prop

Mathematics

2 answers:

spayn [35]3 years ago

8 0

Step-by-step explanation:

Wow

Common sense

AleksandrR [38]3 years ago

7 0

Answer:

24 + 28

2*2*2*3 + 2*2*7 [prime factors]

You may distribute any common ones, for example:

4(6+7) [that is, 2*2*(2*3 + 7)

2(12+14)

Step-by-step explanation:

You might be interested in

Find the area of a regular pentagon with an apothem of 11 units. *

docker41 [41]

Answer:

<h2>440 square units</h2>

Step-by-step explanation:

We can find half of a side of the pentagon with the expression

$tan(36\°)=\frac{s_{half} }{11}$

Because, as a regular polygon, all its sectors have the same central angle, and the apothem divides equally each sector in two equal parts.

$s_{half} \approx 8$

Therefore, half of a side is 8 units long, which means each side measures 16 units.

Now, the area of a penthagon is defined by

$A=\frac{p \times a}{2}$

Where $p$ is the perimeter and $a$ is the apothem. Where the perimeter is the sum of all sides, which is 80 units.

$A= \frac{80 \times 11}{2} =440 \ u^{2}$

Therefore, the right answer is the second choice.

3 0

3 years ago

6x-2=7x+9 find x plz help

steposvetlana [31]

Answer:

$x=-11$

Step-by-step explanation:

$6x-2=7x+9$

Add 2 to both sides:

$6x-2+2=7x+9+2$

$6x=7x+11$

Subtract 7x from both sides:

$6x-7x=7x+11-7x$

$-x=11$

Divide both sides by -1:

$\frac{-x}{-1}=\frac{11}{-1}$

$x=-11$

7 0

3 years ago

Read 2 more answers

What is l the value of x in the equation 4-[6+2(x - 4)] = 4x - 2(x+3)

kramer

Answer attached below!

7 0

3 years ago

The grades in a statistics course for a particular semester were as follows:

ziro4ka [17]

Answer:

Test Statistic = 10

Critical Value = 9.488

Step-by-step explanation:

Given :

Grade A _ B _ C _ D _ F

_____14 _ 18 _32_ 20_16

H0 : distribution of grade is uniform

H1 : Distribution of grade is not uniform

Using the Chisquare statistic :

χ² = (observed - Expected)² / Expected

The expected value :

(14+18+32+20+16) / 5 = 20

χ² = (14-20)^2 / 20 + (18-20)^2 / 20 + (32-20)^2 / 20 + (20-20)^2 / 20 + (16-20)^2 / 20

χ² statistic = 10

The χ² critical at df = (n - 1) = 5 - 1 = 4

χ² Critical(10, 4) = 9.488

8 0

3 years ago

Steve wants to know what the average ACT scores of students graduated from his high school is. He randomly selected 25 students

Mashutka [201]

Answer:

The 86% confidence interval for the population mean is (19.982, 23.018).

As we are using a sample to make an inference about the population mean, we use a confidence interval with a certain degree of confidence.

We are 86% confident that the true mean ACT scores is between 19.982 and 23.018.

Step-by-step explanation:

We have the information:

Sample size n= 20

Mean M=21.5

STD s=5.7

Min = 15

Max = 26

Population STD σ=4.6

Confidence level = 86%

We have to calculate a 86% confidence interval for the mean.

The population standard deviation is know and is σ=4.6.

The sample mean is M=21.5.

The sample size is N=20.

As σ is known, the standard error of the mean (σM) is calculated as:

$\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{4.6}{\sqrt{20}}=\dfrac{4.6}{4.4721}=1.0286$

The t-value for a 86% confidence interval is z=1.476.

The margin of error (MOE) can be calculated as:

$MOE=z\cdot \sigma_M=1.476 \cdot 1.0286=1.518$

Then, the lower and upper bounds of the confidence interval are:

$LL=M-t \cdot s_M = 21.5-1.518=19.982\\\\UL=M+t \cdot s_M = 21.5+1.518=23.018$

The 86% confidence interval for the population mean is (19.982, 23.018).

As we are using a sample to make an inference about the population mean, we use a confidence interval with a certain degree of confidence.

We are 86% confident that the true mean ACT scores is between 19.98 and 23.02.

3 0

3 years ago