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3 years ago

What is the m∠B? 28° 40° 102° 112°

Mathematics

2 answers:

Vlad1618 [11]3 years ago

4 0

Answer:

112

Step-by-step explanation:

180 - 40 - 28 = 112

Luba_88 [7]3 years ago

3 0

Add 28+40=68

Subtract 68 from 180 degrees
Answer is 112

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There are two unknowns you are trying to find, and you cannot express one in terms of the other. Describe how you could use alge

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Answer:

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Step-by-step explanation:

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3 years ago

On any given day, one person needs an average of 2.5 liters of water to survive. how many people will a tank supply for the day

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How much water is in the tank?

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3 years ago

the scale on a map is stated as 1 : 250000 2 villages are 9 m apart on the map how far from each other are the two villages in k

Sergio039 [100]

Answer:

2,250,000 km

Step-by-step explanation:

From the above question our scale is given as:

1 m : 250000km

We are trying to find the distance between two villages which is 9m apart in kilometers

Hence

1 m : 250000km

= 1 m = 250000km

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3 years ago

What is the value of a?

4vir4ik [10]

Answer:

$\huge\boxed{a=\dfrac{16}{3}=5\dfrac{1}{3}}$

Step-by-step explanation:

$\triangle ZYW\sim\triangle WYX\ (AAA)\\\\\text{Therefore corresponding sides are in proportion}\\\\\dfrac{YX}{YW}=\dfrac{YW}{ZY}\\\\\text{substitute}\\\\YX=a;\ YW=4;\ ZY=3\\\\\dfrac{a}{4}=\dfrac{4}{3}\qquad\text{multiply both sides by 4}\\\\4\cdot\dfrac{a}{4}=4\cdot\dfrac{4}{3}\qquad\text{cancel 4}\\\\a=\dfrac{16}{3}$

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3 years ago

Dill and Bromberg, Problem 1.23. The San Francisco football team plays better in fair weather. They have a 70% chance of winning

shtirl [24]

Answer:

a) 40% probability that San Francisco will win.

b) 80% probability that the weather was bad

Step-by-step explanation:

We have these following probabilities:

60% chance of snow(bad weather).

If there is bad weather, 20% probability of SF winning.

100-60 = 40% chance of good weather.

If there is good weather, 70% probability of SF winning.

(a) If they play in the Super Bowl in Wisconsin and the weatherman predicts a 60% chance of snow that day, what is the probability that San Francisco will win.

20% of 60%, plus 70% of 40%. So

0.2*0.6 + 0.7*0.4 = 0.4

40% probability that San Francisco will win.

(b) Given that San Francisco lost, what is the probability that the weather was bad?

We use the conditional probability formula to solve this question.

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.

In this question:

Event A: SF losing

Event B: Bad weather

P(A)

From a), 40% probability that SF wins. So 100-40 = 60% = 0.6 probability that SF losses.

So $P(A) = 0.6$

P(A and B)

60% chance of snow. If it snows, 80% probability of SF losing. So

$P(A \cap B) = 0.6*0.8 = 0.48$

$P(B|A) = \frac{0.48}{0.60} = 0.8$

80% probability that the weather was bad

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4 years ago