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3 years ago

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The perimeter of a triangle is 38cm. The first side is 10cm longer than the second side, the third side is twice as long as the

second side, what are the three side lengths?

1 answer:

Natalija [7]3 years ago

8 0

Side 1: 17 Cm.
Side 2: 7 Cm.
Side 3: 14 Cm.

Hope This Helped.

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Leonard purchases a model boat kit for $67.53. He uses a coupon for $25 off a purchase of $50 or more. What is the discounted pr

DerKrebs [107]

Given that the original price of the model boat kit is $67.53 and he has a coupon of $25 off if a purchase is $50 or more. Since the purchase is more than $50, we will deduct 25 from 67.53 so the discounted price of the model boat kit would be $42.53. Hope this answers your question.

8 0

3 years ago

What is an equation for the line through (11,-21) with undefined slope

Andreyy89

Answer:

$x=11$

Step-by-step explanation:

An undefined slope is a vertical line on a graph. This means it isn't equal to a y-value, but rather an x-value instead. All values of y work for this function, just as long as the x-coordinate is 11.

3 0

3 years ago

What is the value of x?

scoray [572]

Answer:

x = 54.6 m

Step-by-step explanation:

Δ MAB and Δ MNP are similar, then corresponding sides are in proportion, that is

$\frac{MA}{MN}$ = $\frac{MB}{MP}$ , substitute values

$\frac{80.5-35}{80.5}$ = $\frac{x}{96.6}$

$\frac{45.5}{80.5}$ = $\frac{x}{96.6}$ ( cross- multiply )

80.5x = 4395.3 ( divide both sides by 80.5 )

x = 54.6

8 0

3 years ago

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According to the National Institute on Drug Abuse, a U.S. government agency, 17.3% of 8th graders in 2010 had used marijuana at

miskamm [114]

Answer:

The conditions for use of the normal model to represent the distribution of sample proportion are not met. He should increase the sample size until the conditions are met.

If the test is done anyway, the null hypothesis failed to be rejected.

The conclusion is taht there is not enough evidence to support the claim that the percentage is lower in this district.

Step-by-step explanation:

The conditions for use of the normal model to represent the distribution of sample proportion are not met, as the affirmative responses are less than 10.

$np=80*0.1=8$

If the test of hypothesis is done as if the conditiones were met, we know that the claim is that the percentage is lower in this district.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.173\\\\H_a:\pi$

The significance level is 0.05.

The sample has a size n=80.

The sample proportion is p=0.1.

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.173*0.827}{80}}\\\\\\ \sigma_p=\sqrt{0.001788}=0.042$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.1-0.173+0.5/80}{0.042}=\dfrac{-0.067}{0.042}=-1.578$

This test is a left-tailed test, so the P-value for this test is calculated as:

$P-value=P(z$

As the P-value (0.057) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the percentage is lower in this district.

7 0

3 years ago

At the beach, 11% of people have white towels and 53% have blue towels. If

telo118 [61]

Answer:

36 percent.

Step-by-step explanation:

We have been given that 11 percent of people of the peach have white towels, and 53 percent have blue towels.

With this information, we can find the remaining percentage of people that have red towels.

Recall that the total percentage is always 100 percent.

lets make r for the percentage of people that have red towels.

You can solve it by changing it to fraction, decimal, or just keep it at percent.

I will show you all of the possible ways.

Percent:

11 percent plus 53 percent plus r =100 percent

combine the like terms, or add 11 plus 53 to simplify the equation.

You have 64 percent plus r =100 percent Our goal is to isolate r, so subtract both sides by 64 percent.

100-64 is 36 percent.

r=36 percent of people who have red towels.

With fractions.

Write it as 11/100 plus 53/100 plus r/100= 100/100.

Combine the fractions.

64/100 plus r/100=100/100.

Subtract both sides by 64/100.

You are left with r=36/100, 9/25, or 36 percent.

With decimals.

11 percent as a decimal is 0.11. Just move the decimal spot 2 times. In 11, since you can write it as 11.0, you move it to the right twice.

53 percent is 0.53.

r is r.

100 percent is 1.

0.11 plus 0.53 plus r=100

Combine or add 0.53 and 0.11. That is 0.64.

Subtract both sides by 0.64.

You get r to be 0.36 or 36 percent.

I hope this helps, and I hope you have a good day!

8 0

3 years ago

Read 2 more answers