All categories

3 years ago

solve the equation. the quantity 2 multiplied by p end of quantity divided by 3 minus 12 equals negative 2. a. 15 b. 17 c. 7 d.

–21

Mathematics

1 answer:

DiKsa [7]3 years ago

4 0

$\frac{2p}{3}-12=-2 \\ \frac{2p-36}{3} =-2 \\ 2p-36=-6 \\2p=-6+36=30 \\ p=15$

You might be interested in

A type of long-range radio transmits data across the Atlantic Ocean. The number of errors in the transmission during any given a

Marianna [84]

Answer:

32.33% probability of having at least 3 erros in an hour.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

The mean number of errors is 2 per hour.

This means that $\mu = 2$

(a) What is the probability of having at least 3 errors in an hour?

Either you have 2 or less errors in an hour, or we have at least 3 errors. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 2) + P(X \geq 3) = 1$

We want $P(X \geq 3)$

$P(X \geq 3) = 1 - P(X \leq 2)$

In which

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-2}*(2)^{0}}{(0)!} = 0.1353$

$P(X = 1) = \frac{e^{-2}*(2)^{1}}{(1)!} = 0.2707$

$P(X = 2) = \frac{e^{-2}*(2)^{2}}{(2)!} = 0.2707$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.1353 + 0.2707 + 0.2707 = 0.6767$

$P(X \geq 3) = 1 - P(X \leq 2) = 1 - 0.6767 = 0.3233$

32.33% probability of having at least 3 erros in an hour.

6 0

3 years ago

FInd the solution for 4(x - 5)=2(x - 10) +2x

crimeas [40]

Hello!

You solve this like an algebraic equation

You first distribute the 4 and 2

4x - 20 = 2x - 20 + 2x

Combine like terms

4x - 20 = 4x - 20

subtract 4x from both sides

-20 = 0x - 20

Add 20 to both sides

0 = 0

This means that there are infinite solutions to the equation.

Hope this helps!

3 0

4 years ago

Read 2 more answers

If g(x)= x=2 and h(x) = 4 - X, what is the value of (gºh)(-3)?

navik [9.2K]

The required value of (g°h)(-3) is 5.

Step-by-step explanation:

Given,

g(x)= x-2 and h(x) = 4 - x

To find (g°h)(-3)

Now,

(g°h)(x) = g(h(x))