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Anika [276]
3 years ago
10

Help asap please !! Thank you soooo much t who ever helps.

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
6 0

A) 2 2/9

The answer would of course be positive because two negatives make a positive.

It would only be 6 4/9 if you added when here it states the obvious for you to subtract.

Hope this helped PLEASE MARK BRAINLIEST!!

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B and E. B has the same variable for both numbers.
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Say that every single class in Full Sails Masters Degree in Game Design has a 5% failure rate per month. Say also that when a st
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By using degree measurements to represent compass directions,
sineoko [7]

Please find the attached diagram which best represents the information given in the question.

From the diagram it is clear that after taking the turn and having a heading of 160^0, the plane makes an angle \angle PBC=125^0 as shown in the diagram. This, obviously, makes \angleABC=55^0 by making use of the fact that \angle PBC and \angle ABC are supplementary.

Now, using the Cosine Formula as shown in the question example we can find AC to be:

AC=\sqrt{(AB)^2+(BC)^2-2(AB)(BC)Cos(m\angle ABC)}

Thus, (AC)=\sqrt{(240)^2+(160)^2-2(240)(160)Cos(55^0)}

\therefore AC\approx 197.86 miles

Now, using the Sine Formula for a triangle, we can find the angle m\angle BAC as:

\frac{Sin(m\angle BAC)}{BC} =\frac{Sin(m\angle ABC)}{AC}

\frac{Sin(m\angle BAC)}{160} =\frac{Sin(55^0)}{197.86}

\therefore Sin(m\angle BAC)=\frac{160}{197.86}\times Sin(55^0)

Thus, (m\angle BAC)=Sin^{-1}(\frac{160}{197.86}\times Sin(55^0))\approx 41.48^0

Thus, all that we have to do to find the return heading of the plane is to add 35^0 to 41.48^0 and then we will add 180^0 to it.

Thus, the plane's return heading is:

35^0+41.48^0+180^0\approx 256.48^0

Part 1

We know that \angle ABC=75^0 and AC=314.6 miles.

Therefore, we get:

\frac{Sin(75^0)}{314.6} =\frac{Sin(m\angle BAC)}{200}

\therefore \angle BAC)=Sin^{-1}(\frac{200}{314.6}\times Sin(75^0))\approx37.88^0






7 0
3 years ago
In a town. the population of registered voters is 46% democrat, 42% republican and 12% independent polling data shows 57% of dem
Gnesinka [82]

Answer:

a) 0.513 = 51.3% probability that a randomly selected voter in the town supports the tax increase.

b) 0.487 = 48.7% probability that a randomly selected voter does not support the tax increase.

c) 0.1777 = 17.77% probability he or she is a registered Independent.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

Question a:

57% of 46%(democrats)

38% of 42%(republicans)

76% of 12%(independents)

So

P = 0.57*0.46 + 0.38*0.42 + 0.76*0.12 = 0.513

0.513 = 51.3% probability that a randomly selected voter in the town supports the tax increase.

Question b:

1 - 0.513 = 0.487

0.487 = 48.7% probability that a randomly selected voter does not support the tax increase.

c. Suppose you find a voter at random who supports the tax increase. What is the probability he or she is a registered Independent?

Event A: Supports the tax increase.

Event B: Is a independent.

0.513 = 51.3% probability that a randomly selected voter in the town supports the tax increase.

This means that P(A) = 0.513

Probability it supports a tax increase and is a independent:

76% of 12%, so:

P(A \cap B) = 0.76*0.12

Thus

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.76*0.12}{0.513} = 0.1777

0.1777 = 17.77% probability he or she is a registered Independent.

3 0
3 years ago
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