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kotegsom [21]
3 years ago
15

Find the measures of the angles of each triangle (in degrees) and classify the triangle as acute/right/obtuse and scalene/isosce

les/equilateral (one from each triple)
A=5x - 10 B = 3x C= 2x - 10
Mathematics
1 answer:
stiks02 [169]3 years ago
8 0

Step-by-step explanation:

given :

A=5x - 10

B = 3x

C= 2x - 10

solution:

A+B+C = 180°

5x - 10 + 3x+ 2x - 10 = 180

10x -20 = 180

10x = 200

x = 20

A = 5(20)-10 = 100-10 = 90°

B = 3x = 3(20) = 60°

C = 2x-10 =2(20)-10 =40-10 = 30°

this is the right triangle and scalene triangle

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When 258 college students are randomly selected and surveyed, it is found that 106 own a car. Find a 99% confidence interval for
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Answer: 0.332 < p < 0.490

Step-by-step explanation:

We know that the confidence interval for population proportion is given by :-

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n= 258

Sample proportion of college students who own a car = \hat{p}=\dfrac{106}{258}\approx0.411

Critical z-value for 99% confidence interval is 2.576. (By z-table)

Therefore , the  99% confidence interval for the true proportion(p) of all college students who own a car will be :0.411\pm (2.576)\sqrt{\dfrac{0.411(1-0.411)}{258}}\\\\=0.411\pm (2.576)\sqrt{0.00093829}\\\\= 0.411\pm (2.576)(0.0306315197142)\\\\=0.411\pm 0.0789=(0.411-0.0789,\ 0.411+0.0789)\\\\=(0.3321,\ 0.4899)\approx(0.332,\ 0.490)

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3 0
3 years ago
How many terms are there in 37,38,39,40...,437
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Answer:

There are 401 terms.

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8 0
2 years ago
Read 2 more answers
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