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3 years ago

9

the sides of a triangle have lengths s,s+4,and 3s write an expression that represents the perimeter of the triangle

1 answer:

mamaluj [8]3 years ago

3 0

Perimeter of a poligon= sum of all sides.
Perimeter of this triangle=s+(s+4)+3s=5s+4

An expression that represents the perimeter of this triangle is: 5s+4

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In a population, 11% of people are left handed. In a simple random sample of 160 people selected from this population, the propo

castortr0y [4]

Answer:

The claimed proportion (population) is

$p=0.11$

The sample proportion (p-hat) is

$\hat{p}=0.10$

Step-by-step explanation:

In the population, we have the parameter p that is 11%.

$p=0.11$

Then, a sample of n=160 is taken and the proportion of the sample is 0.10.

$\hat{p}=0.10$

The sample proportion p-hat can differ from the population's proportion. There is a sampling distribution that gives the possible values of the sample proportion taken out of this population and its associated probabilities.

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3 years ago

Based on historical data, your manager believes that 26% of the company's orders come from first-time customers. A random sample

scoundrel [369]

Answer:

$\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})$

And we can use the z score formula given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

And if we find the parameters we got:

$\mu_p = 0.26$

$\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349$

And we can find the z score for the value of 0.4 and we got:

$z = \frac{0.4-0.26}{0.0349}= 4.0119$

And we can find this probability:

$P(z>4.0119) = 1-P(z$

And if we use the normal standard table or excel we got:

$P(z>4.0119) = 1-P(z$

Step-by-step explanation:

For this case we have the following info given:

$p = 0.26$ represent the proportion of the company's orders come from first-time customers

$n=158$ represent the sample size

And we want to find the following probability:

$p(\hat p >0.4)$

And we can use the normal approximation since we have the following two conditions:

1) np = 158*0.26 = 41.08>10

2) n(1-p) = 158*(1-0.26) = 116.92>10

And for this case the distribution for the sample proportion is given by:

$\hat p \sim N( p, \sqrt{\frac{p (1-p)}{n}})$

And we can use the z score formula given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

And if we find the parameters we got:

$\mu_p = 0.26$

$\sigma_p = \sqrt{\frac{0.26(1-0.26)}{158}} = 0.0349$

And we can find the z score for the value of 0.4 and we got:

$z = \frac{0.4-0.26}{0.0349}= 4.0119$

And we can find this probability:

$P(z>4.0119) = 1-P(z$

And if we use the normal standard table or excel we got:

$P(z>4.0119) = 1-P(z$

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Use the substitution method to solve each linear system. 4x - 3y = -13,-2x + y = 4

alisha [4.7K]

Answer:

Step-by-step explanation:

(X,Y)=(-55/2,-38

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3 years ago

A circle has an area of 30 in^2. What is the area of a 60 sector of this circle?

yuradex [85]

We use the ratio x:360 to find portions of the circle (again, through the ratio)

so we use 60/360 = x/30 in^2

1/6 = x/ 30

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3 years ago

11/6=n+7/9 what does n equal

SVEN [57.7K]

Answer:

n = 19/18

Step-by-step explanation:

11/6 = n + 7/9

-n + 11/6 = 7/9

-n = 7/9 - 11/6

-n = -19/18

n = 19/18

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3 years ago

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