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3 years ago

What is the converse of the statement if p,then q

Mathematics

1 answer:

WINSTONCH [101]3 years ago

4 0

Answer:

If q, then p

Step-by-step explanation:

The given conditional statement is "If p, then q"

We want to find the converse of this conditional statement.

The converse is formed by switching the hypothesis (p) and the conclusion (q).

Therefore the converse of the given conditional is "If q, then p"

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Answer:

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Step-by-step explanation:

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2 years ago

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What is the value of b in this problem (-7)+b=(-8)

ss7ja [257]

Answer:

-1

Step-by-step explanation:

-7+b=-8

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3 years ago

Read 2 more answers

Aja's favorite cereal is running a promotion that says 111-in-444 boxes of the cereal contain a prize. Suppose that Aja is going

Bond [772]

Using the binomial distribution, there is a 0.6328 = 63.28% probability that she wins at most 1 prize.

For each box, there are only two possible outcomes, either it has a prize, or it does not. The probability of a box having a prize is independent of any other box, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

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

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

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

She buys 5 boxes, hence $n = 5$

1 in 4 boxes has a prize, hence $p = \frac{1}{4} = 0.25$

The probability is:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

Hence:

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

$P(X = 0) = C_{5,0}.(0.25)^{0}.(0.75)^{5} = 0.2373$

$P(X = 1) = C_{5,1}.(0.25)^{1}.(0.75)^{4} = 0.3955$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.2373 + 0.3955 = 0.6328$

0.6328 = 63.28% probability that she wins at most 1 prize.

A similar problem is given at brainly.com/question/24863377

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2 years ago

What is the slope of the line that contains the points (9,-4) and (1,-5)? O A. 8 O B. - O c. 1 1 O D. 8

Len [333]

Answer:

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Step-by-step explanation:

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2 years ago

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kvasek [131]

Answer:

Step-by-step explanation:

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3 years ago