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3 years ago

7

P: grass is green or Q: 3 is the square root of 10 (P ∨ Q)

2 answers:

Inga [223]3 years ago

4 0

P v Q is a disjunction, which is true whenever P or Q is true or both are true. P v Q is false only when P and Q are both false.

You know that Q is false, because 3 is not the square root of 10, so the only possibility for P v Q be true is that P is true.

If that is the case, you have this relation:

T F ---> T

which means True and False imply True

Zielflug [23.3K]3 years ago

3 0

Answer:

TFT

Step-by-step explanation:

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Let X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes. If the random vari

Gelneren [198K]

Answer:

Probability that the wait time is greater than 37 minutes is 0.3474.

Step-by-step explanation:

We are given that the random variable X is known to be exponentially distributed and X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes.

<u><em>Let X = waiting time for a car to pass by on a country road</em></u>

The probability distribution function of exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} , x >0$ where, $\lambda$ = parameter of distribution.

Now, the mean of exponential distribution is = $\frac{1}{\lambda}$ which is given to us as 35 minutes that means $\lambda = \frac{1}{35}$ .

So, X ~ Exp( $\lambda = \frac{1}{35}$ )

Also, we know that Cumulative distribution function (CDF) of Exponential distribution is given as;

$F(x) = P(X \leq x) = 1 - e^{-\lambda x}$ , x > 0

Now, Probability that the wait time is greater than 37 minutes is given by = P(X > 37 min) = 1 - P(X $\leq$ 37 min)

P(X $\leq$ 37 min) = $1 - e^{-\frac{1}{35} \times 37}$ {Using CDF}

= 1 - 0.3474 = 0.6525

So, P(X > 37 min) = 1 - 0.6525 = 0.3474

Therefore, probability that the wait time is greater than 37 minutes is 0.3474.

4 0

3 years ago

Find two numbers whose sum is 15 and whose product is 36

Natali5045456 [20]

One ways is to find the factors of 36
1,36
2,18
3,12
4,9
6,6

add them
1+36=37
2+18=20
3+12=15 correct
4+9=13
6+6=12

the numbers are 3 nd 12

8 0

3 years ago

All possible square root of 100

VMariaS [17]

Answer:

10,000

Step-by-step explanation:

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2 years ago

You have a large container of petrol. You have used 320 quarts of petrol. Eighty percent of the petrol remains. How many quarts

Oduvanchick [21]

Answer:

256 quarts remain.

Step-by-step explanation:

.8x320=256

7 0

3 years ago

If ground beef costs $4.99 per pound, what is the cost of 2 3/4

EleoNora [17]

Answer:

2 x 4.99 = 9.98

3/4 x 4.99 = 3.7425 round it to 3.74

9.98 + 3.74 = 13.73

Answer: $13.73

Step-by-step explanation:

8 0

3 years ago

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