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3 years ago

What's the GCF of 56 and 21?

1 answer:

5 0

GCF means "greatest common factor."
When I learned this, I was told to try 5 numbers and see if they work and if not, it might be 1.
Those numbers are 2, 3, 5, 7, and 9.
2 goes into 56 but not 21.
3 goes into 21 but not 56.
5 doesn't go into 56 nor 21.
7 goes into both 56 and 21.
9 doesn't go into 56 nor 21.
So since 7 works with both numbers, try numbers divisible by 7 (i.e. 14, 21...)
14 goes into 56 but not 21.
21 goes into 21 but not 56.
You can't go any higher than that since then it would be going above 21.
So the GCF of 56 and 21 is 7.

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i need help. Semir, Sarah, and SungSo decided to raise money for a local homeless shelter by working in a local deli. The deli a

IgorLugansk [536]

According to the question,
Let,
"n" represent the number of miles semir walked.
"y" represent the number of miles sarah walked.
Now, according to the question,

y = 2n - 5 ........................this is your equation
Also,
the question states, each of them collect $18 in pledges for every miles walked.

Given,
Sarah collected $450
Now,

Using unitary method,

Sarah collects $18 for 1 mile
Sarah collects $1 for (1 / $18) mile
Sarah collects $450 for (1 / 18) * 450 mile
= 25 miles
So, Sarah walks 25 miles.
Now,
Taking equation,
y = 2n - 5
Since, y is the no. of miles sarah walked, we can write 25 in place of "y" So,
(25) = 2n - 5
25 + 5 = 2n
30 = 2n
30 / 2 = n
15 = n

Since, "n" is the no. of miles that semir walked, Semir walked 15 miles.

7 0

3 years ago

Can u please answer all three and in 20-30 minutes please or quicker if u can please I just not understanding the math they are

Jlenok [28]

18). 16:80 is the ratio but in simplest form is; 5:0

19). 36:54 is the ratio but in simplest form is; 2:3

20). 12:24 is the ratio but in simplest form is; 1:2

hope that helps:D

5 0

3 years ago

If a 35 year old woman has averaged 8 hours of sleep each 24 hours, how many days of her life has she spent sleeping

irina1246 [14]

Answer: 4258.33

Step-by-step explanation: 365 x 35= 12775/3= 4258.33

8 0

3 years ago

The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, included the question, "Ho

vitfil [10]

Answer:

Therefore, the sampling distribution of $\bar{x}$ is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.

The 95% interval estimate of the population mean $\mu$ is

LCL = 7.431 hours to UCL = 10.569 hours

Step-by-step explanation:

Let X be the number of hours a legal professional works on a typical workday. Imagine that X is normally distributed with a known standard deviation of 12.6.

The population standard deviation is

$\sigma = 12.6 \: hours$

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

The sample size is

$n = 250$

The sample mean is

$\bar{x} = 9 \: hours$

Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.

The population mean would be the same as the sample mean that is

$\mu = \bar{x} = 9 \: hours$

The sample standard deviation would be

$s = {\frac{\sigma}{\sqrt{n} }$

Where is the population standard deviation and n is the sample size.

$s = {\frac{12.6}{\sqrt{250} }$

$s = 0.7969 \: hours$

Therefore, the sampling distribution of $\bar{x}$ is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.

The population mean confidence interval is given by

$\text {confidence interval} = \mu \pm MoE\\\\$

Where the margin of error is given by

$$ MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $ \\\\$

Where n is the sampling size, s is the sample standard deviation and is the t-score corresponding to a 95% confidence level.

The t-score corresponding to a 95% confidence level is

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

Degree of freedom = n - 1 = 250 - 1 = 249

From the t-table at α = 0.025 and DoF = 249

t-score = 1.9695

$MoE = t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\\\MoE = 1.9695\cdot \frac{12.6}{\sqrt{250} } \\\\MoE = 1.9695\cdot 0.7969\\\\MoE = 1.569\\\\$

So the required 95% confidence interval is

$\text {confidence interval} = \mu \pm MoE\\\\\text {confidence interval} = 9 \pm 1.569\\\\\text {LCI } = 9 - 1.569 = 7.431\\\\\text {UCI } = 9 + 1.569 = 10.569$

The 95% interval estimate of the population mean $\mu$ is

LCL = 7.431 hours to UCL = 10.569 hours

8 0

3 years ago

Put together, Tom and his father away 280 pounds. Tom’s dad weighs three times as much as he does. How much does Tom weigh?

vovangra [49]

Answer:

Tom weighs 70 pounds

Step-by-step explanation:

first, you have to set up your equation which would be, x + 3x = 280.

The x stands for Tom's weight and the 3x stands for three times Tom's weight for the dad. You would then add your like terms, then divide by 4 to get 70.

x + 3x = 280

4x = 280

280/4 = 70

x = 70

Hope this helps!

3 0

3 years ago