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3 years ago

Help help math math math

Mathematics

1 answer:

ser-zykov [4K]3 years ago

4 0

Answer:

x = 16

Step-by-step explanation:

The two marked angles are supplementary:

(7x -2) +(4x +6) = 180

11x +4 = 180

11x = 176

x = 176/11 = 16

The value of x is 16.

_____

Additional comment

The angle on the left is 110°; the one on the right is 70°, so that answer checks.

These marked angles are called "consecutive exterior" angles. Just as "consecutive interior" angles are supplementary, so are consecutive exterior angles.

Essentially, all of the obtuse angles are congruent, as are all of the acute angles. The obtuse angles are supplementary to the acute angles.

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Please Answer and Show your Work: 4x/16 - 3/8 - x/16 = 3/16

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A university warehouse has received a shipment of 25 printers, of which 10 are laser printers and 15 are inkjet models. If 6 of

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Answer:

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Step-by-step explanation:

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4 years ago

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Answer:

A) C = 1/96

B) P(x<=1, y<=1) = 1/128 or 0.0078125 to 7 places

C) P(x+y<=1) = 5/2305, or 0.0021701 to 7 places

Step-by-step explanation:

f(x,y) = C x (1+y)

To find C, we need to integrate the volume under region bound by

0 <= x <= 4, and

0 <= y <= 4

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F(x,y) = x (1+y) / 96 ............................(1)

P(x<=1, y<=1)

Repeat the integral, substitute the appropriate limits,

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P(x+y<=1)

From the function, we know that this is going to be less than one half of the probability in (B), closer to 1/4 of the previous.

It will be again a double integral, as follows:

P = int( int(F(x,y),x=0,1-y), y = 0,1)

= 5/2304

= 0.0021701 (to 7 decimals)

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