A conditional statement and it's_______ must always have the same truth value.

1 answer:

5 0

Answer: C) Contrapositive

The original conditional is in the form "If P, then Q"
The contrapositive is in the form "If not Q, then not P"
You flip the order of P and Q, and you also negate each piece. The original conditional and contrapositive can be proven to have the same truth values through the use of a truth table.

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a deer tick measures 29 centimeters in length in a photograph. if the photo has been enlarged by a factor of 100, what is the ac

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.29 cm in length

29 ÷ 100 = .29

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3 years ago

Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters. What is the diagonal d

jolli1 [7]

Answer:

70.7 meters.

Step-by-step explanation:

We have been given that Elise walks diagonally from one corner of a square plaza to another. Each side of the plaza is 50 meters.

Since we know that diagonal of a square is product of side length of square and $\sqrt{2}$ . So we will find diagonal of our given square plaza by multiplying 50 by $\sqrt{2}$ .

$\text{Diagonal distance across the plaza}=50\times \sqrt{2}$

$\text{Diagonal distance across the plaza}=50\times 1.414213562373095$

$\text{Diagonal distance across the plaza}=70.71067811865475\approx 70.7$

Therefore, diagonal distance across the plaza is 70.7 meters.

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2 years ago

A manufactured lot of buggy whips has 20 items, of which 5 are defective. A random sample of 5 items is chosen to be inspected.

Finger [1]

Answer:

$P(X=1)$

And using the probability mass function we got:

$P(X=1) = (5C1) (0.25)^1 (1-0.25)^{5-1}= 0.396$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

For this cae that one buggy whip would be defective is $p = \frac{5}{20}=0.25$