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3 years ago

Please help ASAP hope you can help me

Mathematics

1 answer:

Ivahew [28]3 years ago

7 0

13-(-3)

adding the opposites, you get 16 degrees.

-3+13

using a number line: 3 to the left, 13 to the right=10 degrees

For example: 10-(-1)= positive 11. no. you could have -1-(-9). Add the opposites and you get positive 8.

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Evaluate 7m + 3mn when m=8 and n=14

Murrr4er [49]

Answer:

392

Step-by-step explanation:

7(8) + 3(8)(14)

56 + 336

=392

*Brackets mean to multiply.

3 0

3 years ago

A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained p

Alekssandra [29.7K]

Using the z-distribution and the formula for the margin of error, it is found that:

a) A sample size of 54 is needed.

b) A sample size of 752 is needed.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

The margin of error is of:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

90% confidence level, hence $\alpha = 0.9$ , z is the value of Z that has a p-value of $\frac{1+0.9}{2} = 0.95$ , so $z = 1.645$ .

Item a:

The estimate is $\pi = 0.213 - 0.195 = 0.018$ .

The sample size is <u>n for which M = 0.03</u>, hence:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}$

$0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}$

$\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2$

$n = 53.1$

Rounding up, a sample size of 54 is needed.

Item b:

No prior estimate, hence $\pi = 0.05$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}$

$0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}$

$\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}$

$(\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2$

$n = 751.7$

Rounding up, a sample of 752 should be taken.

A similar problem is given at brainly.com/question/25694087

5 0

2 years ago

Mr. Chang wants to retire in 10 years. He deposits $650.00 every three months into his retirement investment account. If the acc

Fittoniya [83]

Answer:

Mr. Chang will have 15714.90 dollars.

Step-by-step explanation:

p = 650

r = $7.8/4/100=0.0195$

Number of periods or n = $5\times4=20$

Future value formula is : $p[\frac{(1+r)^{n}-1}{r} ]$

Putting the values in formula we get;

$650[\frac{(1+0.0195)^{20}-1}{0.0195} ]$

= $15714.90

Hence, Mr. Chang will have 15714.90 dollars.

5 0

3 years ago

What percent of 340 is 255?

ahrayia [7]

Answer:

255 is 75% of 340

Step-by-step explanation:

255 divided by 340 is .75, which can be transformed into a precentage as 75%

4 0

3 years ago

A wholesaler requires a minimum of 4 items in each order from its retail customers. The manager of one retail store is consideri

Mrrafil [7]

Answer:

Option D

Step-by-step explanation:

We have the following variable definitions:

sofas: x

pillows: y

Pillows come in pairs so we have 2y pillows

The total order for all the possible combinations is:

$x+2y$

The wholesaler requires a minimum of 4 items in each order from its retail customers. This means the retailers can order 4 or more.

Therefore the inequality is:

$x+2y\ge4$

To graph this inequality, we graph the corresponding linear equation, $x+2y=4$ with a solid line and shade above.

The correct choice is D

See attachment

7 0

3 years ago

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