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3 years ago

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The coordinates of the vertices of △ABC are A(-2,2), B(5,-3), and C(-4,-1). Identify the perimeter of △ABC. Round each side leng

th to the nearest tenth before adding. HELP PLEASE!!

1 answer:

agasfer [191]3 years ago

4 0

The distance from (-2,2) to (5,-3) is 8.6,

(5,-3) to (-4,-1) is 9.2

(-4,-1) to (-2,2) is 3.6

add them all together to get the perimeter

8.6+9.2+3.6= 21.4

so the perimeter is 21.4

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Guided Practice

dmitriy555 [2]

Answer:

C.

discrete data

Step-by-step explanation:

The given function is:

C(p) = 0.95p

Where p represents the number of bolts purchased. We can calculate the cost based on the number of bolts purchased.

An important distinction between discrete and continuous data is that the continuous data is measured while discrete data is calculated or counted. Since we are obtaining the data by calculation, it must be discrete data.

The function can take on only specific values. For example for p=0, C is 0 and for p=1 the value of C is 0.95. The function cannot take any value in between 0 and 0.95. This is a characteristic of discrete function. A continuous function can take all possible values in an interval.

Therefore, the answer to this question is: The Function models discrete data.

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2 years ago

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Gabriel is at the grocery store, and wants to figure out his total cost before he gets to the register. He bought 2. 5 pounds of

katovenus [111]

The equation is 2.5x + 2y - 2 = 0.

<h2>Linear system</h2>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

He bought 2.5 pounds of apples that are x dollars a pound.

And 2 bags of lettuce for y dollars each.

The total cost is $2.

<h3>To find </h3>

The equation of this.

<h3>How to find the equation?</h3>

He bought 2.5 pounds of apples that are x dollars a pound.

Then the expression is 2.5x

And 2 bags of lettuce for y dollars each.

Then the expression is 2y

The total cost is $2.

Then the expression will be

2.5x + 2y = 2

2.5x + 2y - 2 = 0

Thus the equation is 2.5x + 2y - 2 = 0.

More about the linear system link is given below.

brainly.com/question/20379472

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2 years ago

What is 2(x+10)=60 please help

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Step-by-step explanation:

2(x+10)=60

x+10=60/2

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2 years ago

In a random sample of 75 American women age 18 to 30, 26 agreed with the statement that a woman should have the right to a legal

ddd [48]

Answer:

a) $z=\frac{0.347-0.328}{\sqrt{0.338(1-0.338)(\frac{1}{75}+\frac{1}{64})}}=0.236$

$p_v =2*P(Z>0.236)=0.813$

If we compare the p value and using any significance level for example $\alpha=0.01$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that we don't have significant differences between the two proportions.

b) We are confident at 99% that the difference between the two proportions is between $-0.188 \leq p_B -p_A \leq 0.226$

Step-by-step explanation:

Previous concepts and data given

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p_A$ represent the real population proportion of women age 18 to 30 agreed with the statement that a woman should have the right to a legal abortion for any reason

$\hat p_A =\frac{26}{75}=0.347$ represent the estimated proportion of women age 18 to 30 agreed with the statement that a woman should have the right to a legal abortion for any reason

$n_A=75$ is the sample size for A

$p_B$ represent the real population proportion for women age 58 to 70 agreed with the statement that a woman should have the right to a legal abortion for any reason

$\hat p_B =\frac{21}{64}=0.328$ represent the estimated proportion of women age 58 to 70 agreed with the statement that a woman should have the right to a legal abortion for any reason

$n_B=64$ is the sample size required for B

$z$ represent the critical value for the margin of error and for the statisitc

The population proportion have the following distribution

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

Part a

We need to conduct a hypothesis in order to check if the proportion are equal, the system of hypothesis would be:

Null hypothesis: $p_{A} = p_{B}$

Alternative hypothesis: $p_{A} \neq p_{B}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{A}-p_{B}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{A}}+\frac{1}{n_{B}})}}$ (1)

Where $\hat p=\frac{X_{A}+X_{B}}{n_{A}+n_{B}}=\frac{26+21}{75+64}=0.338$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.347-0.328}{\sqrt{0.338(1-0.338)(\frac{1}{75}+\frac{1}{64})}}=0.236$

Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z>0.236)=0.813$

If we compare the p value and using any significance level for example $\alpha=0.01$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that we don't have significant differences between the two proportions.

Part b

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$(0.347-0.328) - 2.58 \sqrt{\frac{0.347(1-0.347)}{75} +\frac{0.328(1-0.328)}{64}}=-0.188$

$(0.347-0.328) + 2.58 \sqrt{\frac{0.347(1-0.347)}{75} +\frac{0.328(1-0.328)}{64}}=0.226$

And the 99% confidence interval for the difference of proportions would be given (-0.188;0.226).

We are confident at 99% that the difference between the two proportions is between $-0.188 \leq p_B -p_A \leq 0.226$

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3 years ago

Prove that the difference between a two-digit number and the product of its digits will always be a 2 digit number.

slamgirl [31]

Step-by-step explanation:

Let the two-digit number is $xy$

<u>This can be written as:</u>

10x + y, where 1 ≤ x ≤ 9 and 0 ≤ y ≤ 9

<u>The difference between the number and product of its digits is:</u>

d = 10x + y - xy

<u>Rewrite this as below:</u>

d = 10x - xy + y - 10 + 10 =

x(10 - y) - (10 - y) + 10 =

(x - 1)(10 - y) + 10

<u>We see that:</u>

0 ≤ x - 1 ≤ 8 according to the condition given above
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0 + 10 ≤ d ≤ 8*10 + 10
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<h3>Proved</h3>

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2 years ago

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