If m 1=(7x-19), and m 2=(x+5), find m 2

The Eco Pulse survey from the marketing communications firm Shelton Group asked individuals to indicate things they do that make

Bad White [126]

Answer:

a) There is a probability of 42% that the person will feel guilty for only one of those things.

b)There is a probability of 46% that a randomly selected person will not feel guilty for either of these reasons

Step-by-step explanation:

This probability problem can be solved by building a Venn like diagram for each probability.

I say that we have two sets:

-Set A, for those people that will feel guilty about wasting food.

-Set B, for those people that will feel guilty about leaving lights on when not in a room.

The most important information is that there is a .12 probability that a randomly selected person will feel guilty for both of these reasons. It means that $P(A \cap B) = .12.$

The problem also states that there is a .39 probability that a randomly selected person will feel guilty about wasting food. It means that P(A) = 0.39. The probability of a person feeling guilty for only wasting food is PO(A) = .39-.12 = .27.

Also, there is a .27 probability that a randomly selected person will feel guilty about leaving lights on when not in a room. So, the probability of a person feeling guilty for only leaving the lights on is PO(B) = 0.27-0.12 = 0.15.

a) What is the probability that a randomly selected person will feel guilty for either wasting food or leaving lights on when not in a room?

This is the probability that the person feels guilt for only one of those things, so:

P = PO(A) + PO(B) = 0.27 + 0.15 = 0.42 = 42%

b) What is the probability that a randomly selected person will not feel guilty for either of these reasons

The sum of all the probabilities is always 1. In this problem, we have the following probabilies

- The person will not feel guilty for either of these reasons: P

- The person will feel guilty for only one of those things: PO(A) + PO(B) = 0.42

- The person will feel guilty for both reasons: PB = 0.12

So

`P + 0.42 + 0.12 = 1

P = 1-0.54

P = 0.46

There is a probability of 46% that a randomly selected person will not feel guilty for either of these reasons

4 0

2 years ago

Regalo puntos tomen puntos

horrorfan [7]

Answer:

ok

gracias por el puntos

5 0

3 years ago

Read 2 more answers

Riley is planning to plant a lawn in his yard. He will need 9 pounds of grass seed. He wants to mix Bermuda seed that costs $4.8

tankabanditka [31]

Given that total number of pounds of grass seed needed = 9

Let number of pounds of Bermuda seeds used = x

Let number of pounds of Fescue seeds used = y

Then sum of both gives equation:

x+y=9

or y=9-x...(i)

Given that cost of 1 pound of Bermuda seed = $4.80

Then cost of x pound of Bermuda seed = $4.80x

Given that cost of 1 pound of Fescue seed = $3.50

Then cost of y pound of Fescue seed = $3.50y

total cost will be 4.80x+3.50y

Given that cost of 1 pound of mix seed = $4.02

Then cost of 9 pound of mix seed = $4.02*9

combining all three parts, we get equation:

4.80x+3.50y=4.02*9

4.80x+3.50y=36.18...(ii)

plug (i) into (ii)

4.80x+3.50y=36.18

4.80x+3.50(9-x)=36.18

4.80x+31.5-3.50x=36.18

4.80x-3.50x=36.18-31.5

1.3x=4.68

x=3.6

Now plug x=3.6 into (i)

y=9-x=9-3.6=5.4

Hence final answer is given by:

Let number of pounds of Bermuda seeds he should buy = 3.6 pounds

Let number of pounds of Fescue seeds he should buy = 5.4 pounds

5 0

3 years ago

help PLEASEE! Might post a lot of these sorry

ExtremeBDS [4]

Answer:

A = 189 sq units

Step-by-step explanation:

You can cut the shape up into pieces. See image. There are two rectangles and a triangle. Some sides are given:

rectangle: 16 × 8

sm rectangle: 3 × 4

Some sides you have to add to find (the height of the whole entire thing: 16+4+4)

Some lengths you have to subtract to find (height of the triangle: 24 - 10).

Area of a rectangle:

length × width OR

base × height

Area of a triangle:

1/2 • b • h

Add up all three areas. See image.

4 0

2 years ago

Which equation is a solution to (x-3)(x+9)=27?

Shtirlitz [24]

Answer:

x = ± $3\sqrt{7}$ - 3

Explanation:

I'm assuming you want the solutions to that equation, so here goes! (If not, please comment.)

(x-3)(x+9)=27

Let's FOIL this all out and expand. (Remember: First, Outer, Inner, Last.)

x^2 + 9x - 3x - 27

(first+ inner + outer + last)

x^2 + 9x - 3x - 27 = 27

Combine like terms, and add 27 to both sides.

x^2 + 6x - 27 + 27 = 27 + 27

x^2 + 6x = 54

Let's complete the square, because factoring doesn't work, and because it's good practice.

x^2 + 6x + ___ = 54 + ____

In the blank we will put b/2 ^2 = 6/2 ^2 = 3^2 = 9 to complete the square.

x^2 + 6x + 9 = 54 + 9

Now we've got a perfect square factor:

(x + 3)^2 = 63

sqrt(x+3)^2 = $\sqrt{63}$

x + 3 = ± $3\sqrt{7}$

x = ± $3\sqrt{7}$ - 3

7 0

2 years ago