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3 years ago

Can anyone help with number 9?

Mathematics

1 answer:

denis23 [38]3 years ago

5 0

2(2x-3) + 2(x+6) = P
(4x - 6) + (2x + 12) = P
6x + 6 = P ~answer~

(2x-3)(x+6) = A
2x^2 + 12x -3x - 18
2x^2 + 9x - 18 = A. ~answer~

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An apple watch that sold for $200 was on sale for $120.<br> What was the percent of discount?

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The percentage of discount is 40%

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The sum of two numbers is 44 and the difference is 14. What are the numbers?

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Answer:

Hope it may help u

Step-by-step explanation:

The sum of two numbers is 44 and their difference is 14. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.

The sum of x and y is 44. In other words, x plus y equals 44 and can be written as equation A:

x + y = 44

The difference between x and y is 14. In other words, x minus y equals 14 and can be written as equation B:

x - y = 14

Now solve equation B for x to get the revised equation B:

x - y = 14

x = 14 + y

Then substitute x in equation A from the revised equation B and then solve for y:

x + y = 44

14 + y + y = 44

14 + 2y = 44

2y = 30

y = 15

Now we know y is 15. Which means that we can substitute y for 15 in equation A and solve for x:

x + y = 44

x + 15 = 44

X = 29

Summary: The sum of two numbers is 44 and their difference is 14. What are the two numbers? Answer: 29 and 15 as proven here:

Sum: 29 + 15 = 44

Difference: 29 - 15 = 14

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A computer randomly selects a number from the given set.

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Solve the system of equations. If a system has one unique solution, write the solution set. Otherwise, determine the number of s

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The value of x, y and z from the system of equation are -1, -8 and 5 respectively.

Data;

-2x + 6y + 3z = -31
-3y + 7z = 59
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<h3>System of Equation</h3>

To solve this problem, we have to solve the system of equation using substitution method.

From equation (iii)

$2z = 10\\z = 5$

let us substitute the value of z into equation (ii)

$-3y + 7z = 59\\z = 5\\-3y + 7(5) = 59\\-3y + 35 = 59\\-3y = 59 - 35\\-3y = 24\\y = -8$

Let's substitute the value of x and y into equation (i)

$-2x + 6y + 3z = -31\\y = -8, z = 5\\-2x + 6(-8) + 3(5) = -31\\-2x - 48 + 15 = -31\\-2x - 33 = -31\\-2x = -31 + 33\\-2x = 2\\x = -1$

From the calculation above, the value of x, y and z are -1, -8 and 5 respectively.

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brainly.com/question/14323743

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2 years ago

At an outpatient mental health clinic, appointment cancellations occur at a mean rate of 1.5 per day on a typical Wednesday. Let

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Answer:

a) Cancellations are independent and similar to arrivals.

b) 22.31% probability that no cancellations will occur on a particular Wednesday

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.

Mean rate of 1.5 per day on a typical Wednesday.

This means that $\mu = 1.5$

(a) Justify the use of the Poisson model.

Each wednesday is independent of each other, and each wednesday has the same mean number of cancellations.

So the answer is:

Cancellations are independent and similar to arrivals.

(b) What is the probability that no cancellations will occur on a particular Wednesday

This is P(X = 0).

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

$P(X = 0) = \frac{e^{-1.5}*(1.5)^{0}}{(0)!} = 0.2231$

22.31% probability that no cancellations will occur on a particular Wednesday

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4 years ago