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1 year ago

For television advertising rates, what units are a. in the numerator and b. in the denominator?

Mathematics

1 answer:

Vesna [10]1 year ago

5 0

Answer: a. The unit for the numerator is Dollars

b. The unit for the denominator is seconds.

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Evaluate the step function for the given input values. g(x) = StartLayout enlarged left-brace 1st row 1st column negative 4, 2nd

Ostrovityanka [42]

Answer:

g(2) = 3

g(–2) = -4

g(5) = 5

Step-by-step explanation:

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1 year ago

Read 2 more answers

Suppose there is a 20% chance of rain on Monday and a 40% chance of rain on Tuesday. Assuming the weather on successive days is

nadya68 [22]

Answer:

a. 52%

b. 40%

Step-by-step explanation:

Let A represents the event of raining on Monday and B represents the event of raining in Tuesday,

Then according to the question,

P(A) = 20% = 0.2,

P(B) = 40% = 0.4,

Here, A and B are independent events,

So, P(A∩B) = P(A) × P(B),

⇒ P(A∩B) = 0.2 × 0.4 = 0.08

We know that,

P(A∪B) = P(A) + P(B) - P(A∩B)

a. The probability it rains on Monday or Tuesday, P(A∪B) = 0.2 + 0.4 - 0.08

= 0.52

= 52%

b. The conditional probability it rains on Tuesday given that it rained on Monday,

$P(\frac{B}{A})=\frac{P(A\cap B)}{P(A)} = \frac{0.08}{0.2}=0.4 = 40\%$

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1 year ago

At a zoo, youth tickets cost $5 and adult tickets cost $9. A group that purchased x youth tickets and y adult tickets spent $90

notka56 [123]

Answer:

Step-by-step explanation:

Let x represent the number of youth tickets purchased at the zoo.

Let y represent the number of adult tickets purchased at the zoo.

At the zoo, youth tickets cost $5 and adult tickets cost $9. A group spent a total of $90 on tickets. This means that

5x + 9y = 90

The domain of the relationship is the possible set of values of x and y that satisfies the equation. The domain of this relationship is

0 ≤ x ≤ 18

At x = 0, it means only adult tickets were purchased.

At x = 18, it means only youth tickets were purchased.

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2 years ago

Read 2 more answers

A committee of 15 members is voting on a proposal. Each member casts a yea or nay vote. On a random voting basis, what is the pr

Igoryamba

Answer:

0.006% probability that the final vote count is unanimous.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they vote yes, or they vote no. The probability of a person voting yes or no is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Random voting:

So 50% of voting yes, 50% no, so $p = 0.5$

15 members:

This means that $n = 15$

What is the probability that the final vote count is unanimous?

Either all vote no(P(X = 0)) or all vote yes(P(X = 15)). So

$p = P(X = 0) + P(X = 15)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{15,0}.(0.5)^{0}.(0.5)^{15} = 0.00003$

$P(X = 15) = C_{15,15}.(0.5)^{15}.(0.5)^{0} = 0.00003$

$p = P(X = 0) + P(X = 15) = 0.00003 + 0.00003 = 0.00006$

0.006% probability that the final vote count is unanimous.

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1 year ago

The manager of a grocery store selected a random sample of 100 customers to estimate the average checkout time. The 90% confiden

lina2011 [118]

Answer:

Step-by-step explanation:

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1 year ago