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2 years ago

How do you find the area of this triangle?

Mathematics

1 answer:

lara [203]2 years ago

5 0

To find the area of the triangle, use the area of a triangle formula: Area= 1/2(base)(height). In this image, the base of the triangle is 5.9. The height is 6.8. To find this, you multiply 1/2*6.8*5.9 which will give you answer: 20.06

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If the image below is dilated with a scale factor of 2, what is the perimeter of the dilated image?

garri49 [273]

Answer:

the answer is 24

Step-by-step explanation:

i got it correct on my test

8 0

3 years ago

The U.S. and many other countries have recently tightened airport security. A sociologist is interested in estimating the propor

melisa1 [442]

Answer:

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

Step-by-step explanation:

Conduct a test to determine whether the true proportion of interest is higher than 0.7.

This means that the null hypothesis is: $H_{0}: p = 0.7$

And the alternate hypothesis is: $H_{a}: p > 0.7$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.7 is tested at the null hypothesis:

This means that $\mu = 0.7, \sigma = \sqrt{0.7*0.3}$

The sociologist found that 375 of the 500 travelers randomly selected and interviewed indicated that the airports were safe.

This means that $n = 500, X = \frac{375}{500} = 0.75$

Value of the z-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.75 - 0.7}{\frac{\sqrt{0.7*0.3}}{\sqrt{350}}}$

$z = 2.44$

P-value of the test:

Probability of z being larger than 2.44, that is, a proportion larger than 0.75.

This is, looking at the z-table, 1 subtracted by the pvalue of Z = 2.44. S

Z = 2.44 has a pvalue of 0.9927

1 - 0.9927 = 0.0073

0.0073 < 0.05, which means that we reject the null hypothesis and conclude that the true proportion of interest is higher than 0.7.

8 0

3 years ago

4r-2=4r-2 what's the solution? can have either have many solutions or none

butalik [34]

That "equation" has an infinite number of "solutions", because
no matter what 'r' is, it's always a true statement.

The statement is equivalent to saying "I am I." or "You are you."

7 0

3 years ago

Read 2 more answers

How do I solve this equation?

Finger [1]

Think the 4 less than but not equal to as a equal sign
step 1. isolate the variable ( variable must stand alone)
step 2. subtract 12n -12n=0
step 3. since you subtract 12n from the left you must do the same to the right.
step 4. 13n - 12n =1n
step 5. the equation should look like this -4 less than but not equal to 1n
step 6. isolate the variable n
step 6. divide 1n/1 on the right and on the left -4/1 it equals -4
so, n is -4

7 0

2 years ago

What is the solution to the system of equations below? 2x-y=10 and y=-1/2x+5

Vlad1618 [11]

Answer: (x,y) = (6,2)

Step-by-step explanation: hope this helps!!!!!

8 0

2 years ago