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Setler [38]
3 years ago
8

The sides of a right triangle are x, x+7, and x+8 untits long. Find the side lengh by solving for x.

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0
X+x+7+x+8=180
3x+15=180
3x=165
x=55

X=55 because a triangles angles add up to 180. you need to get the variable (x) by it's self. By doing that you subtract 15from both sides getting 3x=165. If you divide 165 by 3 you get 55.
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A random sample of 400 Michigan State University (MSU) students were surveyed recently to determine an estimate for the proporti
Gre4nikov [31]

Answer:

a. .92

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error of the interval is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The lower bound is the point estimate \pi subtracted by the margin of error.

The upper bound is the point estimate \pi added to the margin of error.

Point estimate:

The confidence interval is symmetric, so it is the mean between the two bounds.

In this problem:

\pi = \frac{0.372 + 0.458}{2} = 0.415

Sample of 400, which means that n = 400

Margin of error is the estimate subtracted by the lower bound. So M = 0.415 - 0.372 = 0.043

We have to find z.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.043 = z\sqrt{\frac{0.415*0.585}{400}}

z = \frac{0.043\sqrt{400}}{\sqrt{0.415*0.585}}

z = 1.745

z = 1.745 has a pvalue of 0.96.

This means that:

1 - \frac{\alpha}{2} = 0.96

\frac{\alpha}{2} = 1 - 0.96

\frac{\alpha}{2} = 0.04

\alpha = 0.08

Confidence level:

1 - \alpha = 1 - 0.08 = 0.92

So the correct answer is:

a. .92

7 0
3 years ago
In the reaction of hydrogen with iodine
Bond [772]

Answer:

HI hydrogen iodide

Step-by-step explanation:

H2(gas)+I2(gas)---------->2HI(gas)

6 0
3 years ago
Read 2 more answers
Drag a statement or reason to each box to complete this proof.
yanalaym [24]

Answer: 2. Linear pair postulate

4. 60 + mACB=180

5. mACB=120

6. definition of obtuse angle

5 0
3 years ago
Please help me with this question helel
Vera_Pavlovna [14]

Answer:

\frac{1}{2}

Step-by-step explanation:

Given

tan x = \sqrt{3}, then

x = tan^{-1}(\sqrt{3} ) = 60° ← related acute angle

Since 180° < x < 270° and tan x > 0 then x is in third quadrant

x = 180° + 60° = 240°

and

sin(x - 210)°

= sin(240 - 210)°

= sin30°

= \frac{1}{2}

6 0
3 years ago
Joshua is planning a 1020-mile driving trip. His car gets an average of 30 mpg, and the cost of gas is about $4.06/gallon. What
dolphi86 [110]
30 miles for a single gallon.
first we find out how many gallons would be used.
number of gallons = 1020/30
gallons = 34.
and since 1 gallon costs $4.06
34 gallons would cost = 34 x 4.06 = $138.04
4 0
4 years ago
Read 2 more answers
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