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3 years ago

Write an equation of the line with y-intercept 3 that is parallel to y=-3/4x-4

Mathematics

1 answer:

Bond [772]3 years ago

4 0

Answer:

y = -(3/4)x + 3

Step-by-step explanation:

Any line parallel to y = -(3/4)x - 4 will have the same equation, except that the y-intercept will be different. Here we need only replace that -4 intercept with 3, obtaining:

y = -(3/4)x + 3.

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3 years ago

Heights of adult males are known to have a normal distribution. a researcher claims to have randomly selected adult males and me

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Answer:

The sum of the probabilities is greater than 100%; and the distribution is too uniform to be a normal distribution.

Step-by-step explanation:

The sum of the probabilities of a distribution should be 100%. When you add the probabilities of this distribution together, you have

22+24+21+26+28 = 46+21+26+28 = 67+26+28 = 93+28 = 121

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Finding area of shaded sectors.

tekilochka [14]

Answer:

69.81 sq. m. (rounded to 2 decimal places)

Step-by-step explanation:

The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:

$A=\frac{\theta}{360}*\pi r^2$

Where

$\theta$ is the central angle

r is the radius

Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

$\theta = 80$

Also, the radius of the circle shown is 10 meters, so

r = 10

Now, we substitute in formula and find our answer:

$A=\frac{\theta}{360}*\pi r^2\\A=\frac{80}{360}*\pi (10)^2\\A=\frac{2}{9}*100\pi\\A=\frac{200\pi}{9}\\A=69.81$

Thus,

The area of the shaded sector is 69.81 sq. meters.

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