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3 years ago

A large energy company produces electricity, natural gas, and oil. The production of a dollar's worth of

Mathematics

1 answer:

HACTEHA [7]3 years ago

7 0

Answer:

E = 64.05

NG = 52.29

O = 35.15

Step-by-step explanation:

With the statement we can create a system of 3X3 equations that would be as follows:

E = electricity

NG = natural gas

O = oil

0.35 * E + 0.15 * NG + 0.25 * O = 25

0.35 * E + 0.15 * NG + 0.2 * O = 15

0.1 * E + 0.1 * NG + 0.1 * O = 20

If we pass this system equations to matrix and subtract it from the identity matrix we would have the following:

0.65 * E - 0.15 * NG - 0.25 * O = 25

-0.35 * E + 0.85 * NG - 0.2 * O = 15

-0.1 * E - 0.1 * NG + 0.9 * O = 20

Solving this system of equations around here can be very long and impractical, therefore, I attach a photo of the process:

And the answer is:

E = 64.05

NG = 52.29

O = 35.15

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Workout the probability that spinner A lands on 2 and spinner b does not land on b

zzz [600]

Spinner diagram isn't attached. A related spinner diagram has been attached below to provide an hypothetical solution to the problem

Answer:

4 / 15

Step-by-step explanation:

For the numbered spinner :

P(landing on 2) = required outcome / Total possible outcomes

Total possible outcomes = (1, 2, 3) = 3

Required outcome = (1) = 1

P(landing on 2) = 1 /3

Lettered spinner :

P(does not land on b)

Total possible outcomes = (A, B, C, D, E)

Required outcome = (a, c, d, e)

P(does not land on b) = 4 / 5

Hence,

P(lands on 2, does not land on b) in this scenario is :

1/3 * 4/5 = 4 / 15

5 0

3 years ago

-3-2(2x-3) simplified

ddd [48]

First Distribute, then subtract and you’ll get -4x+3

6 0

3 years ago

The perpendicular bisector of side AB of ∆ABC intersects side AB at point D and BC at point E. If m∠CAB = 82° and m∠C = 68°, fin

riadik2000 [5.3K]

Check the picture below.

now, an angle bisector I assume, since it intersects the opposite segment at D and then at E. An angle bisector cuts an angle in two equal halves, so if ∡CAB is 82°, that just means that ∡CAE is one of those halves, or 41°.