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3 years ago

Which of the sets of ordered pairs represents a function? A= {(1, -2), (3, -5), (5, 2), (7, 5)}

Mathematics

2 answers:

miv72 [106K]3 years ago

8 0

Both a and b are functions.

gavmur [86]3 years ago

4 0

A because none of the x values can be repeated in a function

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3 years ago

The probability a randomly selected household owns corporate stock is 0.54. The probability a randomly selected household has no

34kurt

Answer:

30% probability a randomly selected household has no Internet access given the household owns corporate stock

Step-by-step explanation:

I am going to say that we have two events.

Event A: Owning corporate stock. So P(A) = 0.54.

Event B: Having no internet access. So P(B) = 0.3.

Since they are independent events, we can apply the conditional probability formula, which is:

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

In which

P(B|A) is the probabilitty of event B happening given that A happened. We want to find this.

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

Since they are independent

$P(A \cap B) = P(A)P(B) = 0.54*0.3$

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.54*0.3}{0.54} = 0.3$

30% probability a randomly selected household has no Internet access given the household owns corporate stock

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3 years ago

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3 years ago

Read 2 more answers

For questions 8 – 10, answer the questions about tangent-tangent angles.

olchik [2.2K]

Answer:

m(arc ZWY) = 305°

Step-by-step explanation:

8). Formula for the angle formed outside the circle by the intersection of two tangents or two secants is,

Angle formed by two tangents = $\frac{1}{2}(\text{Difference of intercepted arcs})$

= $\frac{1}{2}(220-140)$

= $\frac{1}{2}(80)$

= 40°

9). Following the same rule as above,

Angle formed between two tangents = $\frac{1}{2}(\text{Difference of intercepted arcs})$

125 = $\frac{1}{2}[m(\text{major arc})-m(\text{minor arc})]$

250 = $[m(\text{arc ZWY})-m(\text{arc ZY})]$

250 = m(arc ZWY) - 55

m(arc ZWY) = 305°

Therefore, measure of arc ZWY = 305° will be the answer.

10). m(arc BAC) = $\frac{1}{2}([m(\text{arc BDC})-m(\text{arc BC})])$

= $\frac{1}{2}(254-106)$

= $\frac{148}{2}$

= 74°

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3 years ago