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3 years ago

A triangle has sides of lengths 12, 14, and 19. Is it a right triangle? Explain.

1 answer:

7 0

A^2 + b^2 = c^2
C should equal to the longer side, which would be 19. 
Plug in other two numbers for A and B. 
12^2 + 14^2 = 19^2 
Now see if it's correct. If it is, then it's a right triangle, if it's not then it isn't a right triangle. 
144 + 196 = 361 
340 = 361 
It's not a right triangle.

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For which value of x is the equation 3x + x = 2x + 24 true?

Lynna [10]

Answer:

D) 12

Step-by-step explanation:

3x+x=2x+24

4x=2x+24

4x-2x=24

2x=24

x=24/2

x=12

4 0

3 years ago

Not sure how to do this. (I'm aware this is wrong lol)

Bezzdna [24]

I think the answer is 80 degrees. Think about it like you're moving the chunk with 100 degrees already filled in, to the space where you're trying to find the amount since they're the same. Vertical angles are supplementary and are equal to 180. So, 100+x = 180. x would equal 80 degrees.

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3 years ago

A. y = |x - 4| - 2

professor190 [17]

The is C
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3 years ago

Ten engineering schools in the United States were surveyed. The sample contained 250 electrical engineers, 80 being women; 175 c

steposvetlana [31]

Answer:

There is a significant difference between the two proportions.

Step-by-step explanation:

The (1 - α)% confidence interval for difference between population proportions is:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

Compute the sample proportions as follows:

$\hat p_{1}=\frac{80}{250}=0.32\\\\\hat p_{2}=\frac{40}{175}=0.23$

The critical value of z for 90% confidence interval is:

$z_{0.10/2}=z_{0.05}=1.645$

Compute a 90% confidence interval for the difference between the proportions of women in these two fields of engineering as follows:

$CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}$

$=(0.32-0.23)\pm 1.645\times\sqrt{\frac{0.32(1-0.32)}{250}+\frac{0.23(1-0.23)}{175}}\\\\=0.09\pm 0.0714\\\\=(0.0186, 0.1614)\\\\\approx (0.02, 0.16)$

There will be no difference between the two proportions if the 90% confidence interval consists of 0.

But the 90% confidence interval does not consists of 0.

Thus, there is a significant difference between the two proportions.

4 0

3 years ago

What is the equation of the following graph?

ser-zykov [4K]

Answer:

y=0.5x + 5

Step-by-step explanation:

The points are (0,5) and (-10,0)

to find the slope do

0-5/-10-0 = 5/10 = 1/2 = 0.5

next plug one of the points into point slope formula

y-y1=m(x-x1)

lets use the point (-10,0)

y1=0

x1= -10

m= 0.5

y-0=0.5(x- -10)

y = 0.5(x+10)

distribute the 0.5

y=0.5x+5

7 0

3 years ago