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3 years ago

What type of triangle, if any, can be formed with sides measuring 8 inches, 8 inches, and 3 inches?

1 answer:

5 0

We can form an Isosceles triangle using the given measures. Step-by-step explanation: We are given the measure of three sides of a triangle.

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the length of a rectangle is 2 inches less than twice its width. If the perimeter of the rectangle is 74 inches, what is the are

schepotkina [342]

If the width is w and the length is l, then 2w-2=l and 2w+2l=72 (using the perimeter equation). Plugging 2w-2 in for l, we get 2w+(2w-2)*2=72 and 6w-4=72. Adding 4 to both sides, we get 6w=76. After that, we divide both sides by 6 to get 74/6=w. Since l=2w-2=136/6, we get (136/6)(74/6)=656.75=area

5 0

3 years ago

Assume that adults were randomly selected for a poll. They were asked if they "favor or oppose using federal tax dollars to fund

ser-zykov [4K]

Testing the hypothesis, it is found that since the p-value of the test is 0.0042 < 0.01, it can be concluded that the proportion of subjects who respond in favor is different of 0.5.

At the null hypothesis, it is tested if the proportion is of 0.5, that is:

$H_0: p = 0.5$

At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:

$H_1: p \neq 0.5$

The test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1 - p)}{n}}}$

In which:

$\overline{p}$ is the sample proportion.
p is the value tested at the null hypothesis.
n is the sample size.

In this problem, the parameters are given by:

$p = 0.5, n = 483 + 398 = 881, \overline{p} = \frac{483}{881} = 0.5482$

The value of the test statistic is:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1 - p)}{n}}}$

$z = \frac{0.5482 - 0.5}{\sqrt{\frac{0.5(0.5)}{881}}}$

$z = 2.86$

Since we have a two-tailed test(test if the proportion is different of a value), the p-value of the test is P(|z| > 2.86), which is 2 multiplied by the p-value of z = -2.86.

Looking at the z-table, z = -2.86 has a p-value of 0.0021.

2(0.0021) = 0.0042

Since the p-value of the test is 0.0042 < 0.01, it can be concluded that the proportion of subjects who respond in favor is different of 0.5.

A similar problem is given at brainly.com/question/24330815

3 0

3 years ago

PLEASE HELP 30 POINTS Prove that AM is perpendicular to BD

ch4aika [34]

Answer:

Step-by-step explanation:

AM is perpendicular to BD because they from a right angle and the definition of perpendicular is when two lines meet they form a right angle. AM goes straight down and BD form the horizontal line. These two lines form a right angle so AM is perpendicular to BD.

3 0

3 years ago

A sporting goods store sold 30% of the baseball bats in stock. If they had 420 bats in stock, how many did they sell?

Tema [17]

Answer:they sold 126 bats

Step-by-step explanation:

30/100= 3/10

3/10x420=3x42=126

6 0

3 years ago

Donal currently has 7,200 points in his fantasy baseball league, which is 20% more points than Scott How many points does Scott

zlopas [31]

Answer:

5760

Step-by-step explanation:

7200-20%=5760

7 0

3 years ago