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3 years ago

15

Topic: Integrals

1 answer:

Tpy6a [65]3 years ago

6 0

9514 1404 393

Answer:

11 7/16

Step-by-step explanation:

The integration resolves into finding the area of two triangles. The left has a height of (-3/8(-2/3)+2) = 2 1/4, and a width of (16/3-(-2/3)) = 6. Then its area is ...

A = (1/2)bh = (1/2)(6)(2 1/4) = 6 3/4

__

The right triangle has a height of |(-3/8)(31/3) +2| = |-31/8+16/8| = 15/8. Its width is (31/3) -(16/3) = 5, so its area is ...

A = (1/2)(5)(15/8) = 75/16 = 4 11/16

Then the total area, the value of the integral, is ...

6 3/4 +4 11/16 = 10 23/16 = 11 7/16 . . . the value of the integral

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5*x-3=12

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A plane travels 2,000 kilometers at a speed of 900 kilometers per hour (kph) with no wind. when a tailwind is present, the plane

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The meaning of the y-intercept exists in the time required for the plane to cover 2,000 kilometers at a speed of 900 kilometers per hour (kph) with no wind. $2 \frac{2}{9}$ hours required for the plane to cover 2,000 kilometers at a speed of 900 kilometers per hour with no wind.

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The time it takes the plane to travel 2,000 kilometers with the tailwind, t(x), exists determined by the function

$t(x)=\frac{2,000}{900}+x $$

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2 years ago

6 = 2(y +2)<br> What does y equal

Tems11 [23]

Answer:

One

Step-by-step explanation:

6=2(y+2)

Distribute 2

6=2y+4

-4 -4

2=2y

______

2

y=1

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AnnyKZ [126]

Answer:

The probability of getting exactly 6 girls in 8 births is 0.1093

Step-by-step explanation:

Given : 6 girls in 8 births.

To find : The probability of getting exactly 6 girls in 8 births.

Solution :

The probability of getting girl is $\frac{1}{2}$

The probability of getting 6 girl is $(\frac{1}{2})^6$

Since we have 6 girls,

We also need to find the probability of getting 2 boys, which is

$(\frac{1}{2})^2$

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