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3 years ago

Solve the equation p/4 = 5

Mathematics

1 answer:

Alik [6]3 years ago

7 0

Answer:

p = 20

Explanation :

Multiply both sides

Multiply both sides f the equation by 4

4 × p/4 = 4 × 5

Reduce multiply

Reduce the numbers with the greatest common factor 4

p = 4 × 5

Multiply the numbers

p = 20

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Sebastian wants to create a right triangle with side lengths 14 inches, 48 inches, and 5

allochka39001 [22]

Answer: Choice A

$\text{Yes, because } 14^2+48^2 \text{ is equal to } 50^2$

=======================================================

Explanation:

The pythagorean theorem is $a^2+b^2 = c^2$

The value of c is always the longest side, aka hypotenuse.

The order of 'a' and b doesn't matter.

So a = 14, b = 48, c = 50

We have $a^2+b^2 = 14^2+48^2 = 196+2304 = 2500$

We also have $c^2 = 50^2 = 2500$

Both sides result in 2500 which proves that $14^2+48^2 = 50^2$ is a true statement. Therefore, we do have a right triangle.

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2 years ago

In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family t

sleet_krkn [62]

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used 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.

0.5 probability of a children being a girl:

This means that $p = 0.5$

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that $n = 4$ . So

$P(X < 2) = P(X = 0) + P(X = 1)$

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

$P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625$

$P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125$

0.3125 = 31.25% probability that it is not ideal.

7 0

3 years ago

If a positive integer that is not a multiple of 5 is divided by 5, what is the least possible remainder

solniwko [45]

I would say 1 would be the least possible remainder...

11/5 = 2 remainder 1
21/5 = 4 remainder 1
31/5 = 3 remainder 1

and since ur dealing with positive integers (whole numbers), 1 is gonna be the smallest

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4 years ago

How can skip counting by 10s help you find the quotient of 10s facts

Lerok [7]

Answer:

Count By 5's

Step-by-step explanation:

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3 years ago

Which container holds more a half gallon carton or a 2-quart bottle explain

fiasKO [112]

1 gallon= 4 quarts so if you were to have 1/2 a gallon and 2 quarts, you would have an equal amount so the containers hold the same amount

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3 years ago

Read 2 more answers

Solve the equation p/4 = 5​

Solve the equation p/4 = 5