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4 years ago

What is the truth value for the following conditional statement? p: false q: true ∼q → ∼p

Mathematics

2 answers:

Leno4ka [110]4 years ago

7 0

Answer:

p false

Step-by-step explanation:

Artyom0805 [142]4 years ago

4 0

Answer:

Truth value of ~p → ~q will be False.

Step-by-step explanation:

If the truth value of conditional statement p is false then the truth value of

~p will be True

If the truth value of other statement q is True then the truth value of ~q will be False

We know truth value of the implication of two conditional statements a → b is False only when a is true and b is false.

Therefore, ~p → ~q will be False.

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What is the ratio of 12 minute to 1 hour?

Trava [24]

Answer:

1/5

Step-by-step explanation:

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3 years ago

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Evan and Carter are making chocolate milk which mixes milk with chocolate syrup. Evan's recipe calls for 5 cups of milk for ever

Alex73 [517]

Answer:

Evan's recipe

Step-by-step explanation:

Given that:

Evan's recipe :

5 cups of milk for every 4 teaspoons of chocolate syrup

Carter's recipe:

3 cups of milk for every 2 teaspoons of chocolate syrup.

Recipe with the stronger tasting chocolate milk:

Take the ratio of cups of milk to teaspoons of chocolate syrup:

Evan's :

5 / 4 = 1.25

Carter's :

3 /2 = 1.5

Evan's recipe has the stronger tasting chocolate milk recipe :

5 milk cup = 4 chocolate spoons

Number of chocolate milks for 3 milk cups = x in Evan's recipe

5 = 4

3 = x

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x = 2.4 teaspoons

This is 2.4 spoons compared Carter's recipe which uses 2 spoons for every 3 milk cups

3 0

3 years ago

A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.93. Assume indepen

noname [10]

Answer:

There is a 99.99998% probability that at least one valve opens.

Step-by-step explanation:

For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.

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 combinatios 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.

In this problem we have that:

$n = 5, p = 0.93$

Calculate P(at least one valve opens).

This is $P(X \geq 1)$

Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:

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

$P(X \geq 1) = 1 - P(X = 0)$

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

$P(X = 0) = C_{5,0}.(0.93)^{0}.(0.07)^{5} = 0.0000016807$

Finally

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000016807 = 0.9999983193$

There is a 99.99998% probability that at least one valve opens.

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Answer:

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Step-by-step explanation:

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