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2 years ago

An algebraic expression for the quotient of 12 and z added to 89

Mathematics

1 answer:

Studentka2010 [4]2 years ago

6 0

Answer:

89 + 12/z

Step-by-step explanation:

We are adding 12/z to 89:

89 + 12/z

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Suppose that p is the probability that a randomly selected person is left handed. The value (1-p) is the probability that the pe

solmaris [256]

Answer:

a) 1/2

b) 250

Step-by-step explanation:

The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for $p$ such that $1000p(1-p)$ is maximized. Once we have that $p$ , we can easily find the answer to part b.

Finding the value that maximizes $1000p(1-p)$ is the same as finding the value that maximizes $p(1-p)$ , just on a smaller scale. So, we really want to maximize $p(1-p)$ . To do this, we will do a trick called completing the square.

$p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4$ .

Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of $p$ such that the inner part of the square term is equal to $0$ .

$p-1/2=0\\p=1/2$ .

So, the answer to part a is $\boxed{1/2}$ .

We can then plug $1/2$ into the equation for p to find the answer to part b.

$1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250$ .

So, the answer to part b is $\boxed{250}$ .

And we're done!

3 0

1 year ago

A washer and a dryer cost $847 combined. The washer costs $53 less than the dryer. What is the cost of the dryer?

Natalija [7]

--------------------------------------------------------------
Define x :
--------------------------------------------------------------
Let the dryer be x.
Dryer = x
Washer = x -53

--------------------------------------------------------------
Construct Equation :
--------------------------------------------------------------
The washer and the dryer cost $847
⇒ x + x - 53 = 847

--------------------------------------------------------------
Solve x :
--------------------------------------------------------------
x + x - 53 = 847
2x - 53 = 847
2x = 847 + 53
2x = 900
x = 450

--------------------------------------------------------------
Find cost of dryer and washer :
--------------------------------------------------------------
Dryer = x = $450
Washer = x = 450 - 53 = 397

--------------------------------------------------------------
Answer: Dryer = $450
--------------------------------------------------------------

3 0

2 years ago

Read 2 more answers

Solve for x. <br>Bx (4x + 30) F bisects <CDE.

EleoNora [17]

Answer:

8x = 4x+30

x=7.5

Hope this helps!! Have a good day and remember to be tiger fierce!! :)

5 0

2 years ago

Find the value of a from the following data whose mean is 23 29,33, 27, a, 19, 17, 10

ollegr [7]

Answer:

a = 26

Step-by-step explanation:

29 + 33 + 27 + a + 19 + 17 + 10 / 7 = 23

135 + a / 7 = 23

135 + a = 161

a = 26

5 0

1 year ago

hey so I just want to tell you all that you are amazing, beautiful (or handsome), and don't let anyone tell you otherwise. I why

valina [46]

And always remember this applies to you too like honestly you’re amazing for doing this

6 0

2 years ago