A company is considering purchasing the mineral rights to two different mountains. The probability that it will purchase the mineral rights to the first mountain is 0.55. The probability that it will purchase the mineral rights to the second mountain is 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, what is the probability that it will purchase the mineral rights to exactly one of the two mountains?
a. 0.4
b. 0.45
c. 0.51
d. 0.49

Answers

Answer 1

Using probability of independent events, it is found that the probability that it will purchase the mineral rights to exactly one of the two mountains is given by:

c. 0.51

If two events, A and B, are independent, the probability of both happening is the multiplication of the probability of each happening, that is:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this problem, these following two events result in the rights of exactly one of the two mountains being bought:

First bought(0.55 probability), second not(0.6 probability).First not bought(0.45 probability), second bought(0.4 probability).

Hence:

[tex]p = 0.55(0.6) + 0.45(0.4) = 0.51[/tex]

Thus, option c is correct.

A similar problem is given at https://brainly.com/question/24174994


Related Questions

PLEASE HELPPP RUNNING OUT OF TIMMEE


Two shops sell baked beans in different sized tins. Calculate the price per 1.25 kg for shop B. Give your answer in pence.


Shop A) 1.25kg for £4.85

Shop B) 250g for £0.88

Answers

Step-by-step explanation:

come on !

250g = 0.250kg = 0.25kg

now compare 1.25 kg with 0.25kg.

how many times of 0.25 is 1.25 ?

it is the same as 25 to 125.

5 times (4 times 25 is 100, and then one more time).

so, you need to multiply also the price by 5 to get the price per 1.25kg.

so, 0.88×5 = £4.40 = 440 pence per 1.25kg.

Line m passes through points (10, 7) and (3, 4). Line n is parallel to line m . What is the slope of line ?

Answers

Answer:

The slope is 3/7 or ~0.43

Step-by-step explanation:

The equation for slope is y2-y1/x2-x1

7-4=3

10-3=7

3/7=0.428

Given the Points (0,4) and (3,2) answer the following:
a. what is the equation of the line that goes through these points in
Slope-Intercept Form.
b. What is the x-intercept?
c. What is the y-intercept?

Answers

Answer:

a. y = -2/3(x) + 4

B. 2

C. 4

Step-by-step explanation:

The gradient, m = (2-4)/(3-0) = -2/3

A. To find the equation of the line we use:

y - y1 = m(x - x1).

We can pick any of the above points, if any of them is picked you will be getting the same answers regardless.

We will pic points (0, 4)

Substitute it in the equation.

=> y - 4 = (-2/3) (x - 1)

cross multiple or multiple through by 3. (same thing basically) and evaluate y and x.

=> y = (-2/3)x +4..

(ps: this x is a variable)

B. To find the x-intercept of an equation y = 0, substitute and evaluate for x form the equation of the line

C. To find the y-intercept in an equation x = 0, substitute and evaluate for y from the equation of the line

If the hexagon has a perimeter of 42 what is one of the side lengths

Answers

Answer:

7

Step-by-step explanation:

hexagon- six sides, perimeter is the sum of all sides of the shape, so divid the perimeter (42)  with the number of sides (6) and you get the length of one side (7)

42/6 = 7

A hexagon is 6 sides is each side must be 7 in order to equal 42

plz help will mark as brainliest​

Answers

Answer:

B po? I'm not sure ehh hehehe

Answer:

18

Step-by-step explanation:

2y+3y+5y=180

10y/10=180/10

Y=18

very simple ill give brainlist

Answers

Answer:

100

Step-by-step explanation:

lxw=a

and 5x2+10, so basically just use the area formula with 10 as the values

Answer:

If each side of the square was doubled then you would have a square of 10 cm on each side

the answer is 100

Step-by-step explanation:

5 * 2 = 10

10 * 10 = 100

HELP ASAP!!!
x3+y3+z3

Answers

Answer:

= k

Step-by-step explanation:

What is r(-4)=(-4+1)(-4-3)? It’s apart of evaluating functions.

Answers

Answer:

21

Step-by-step explanation:

r=-5.25 btw

Which equation has the same solution as x^2+16x+13 = 0
A) (x+8) ^2 = -77
B) (x-8) ^2 = 51
C) (x-8) ^2 = -77
D) (x+8) ^2 = 51

Answers

[tex]x^2 +16x +13 =0\\\\\implies x^2 + 2 \cdot 8 \cdot x + 8^2 -8^2 +13 =0\\\\\implies (x+8)^2 -64 +13 =0\\\\\implies (x+8)^2 -51 =0\\\\\implies (x+8)^2 =51[/tex]

Write a mathematical question that explains the following sentence:

two more than triple a number is fourteen

Answers

two more than triple a number is fourteen might be 2×7=14

Please help me
RIGHT ANSWERS ONLY

Answers

Answer:

90 adults

Step-by-step explanation:

Let's make this an equation

We can add 5+3 giving us 8

Let's make it 8x=144

Solve for x

Divide 8x by 8 = 1x

144 ÷ 8 = 18

Now since we're looking for the adults we multiply by 5

18*5=90 adults

please help me!!!! trying to catch up over break :P

Answers

Answer:

Fast Freddy can go 15 miles per hour which is 4 minutes per mile

Speedy Sam can go 7.5 miles per hour which is 8 minutes per mile

Fast Freddy ran faster because he went 15 mph which is double the speed of Speedy Sam.

Step-by-step explanation:

Speedy Sam: So, we can find how fast per mile, by multiplying 4 by 2 because, it takes 4 minutes to go 1/2 of a mile, so double it to make a full mile. So the rate is 8 minutes per mile for Speedy Sam. If you wanted to calculate miles per hour, it would be 7.5 miles per hour because, you would simply take 60 minutes, an hour, and divide it by 8 minutes per mile, to get 7.5 miles per hour.

Fast Freddy: We can right away notice that after one mile, it hits 4 minutes. Making the rate 4 minutes per mile. To find the miles per hour, we would do, 60 minutes divided by 4 minutes per mile to get 15. Meaning fast freddy goes 15 miles per hour

Jim donates 22% of his monthly salary to charity. If his monthly salary is $2257, approximately how much of his salary does Jim keep?

Answers

1760.46. 2257- 22% or 2257 * .22

I need help on this question

Answers

What question did you eat the last day?

GIVING BRAINLIEST!
A hot air balloon is tied to the end of a 60-m rope. When the balloon is at an altitude/vertical height of 50 m, what angle of elevation does the rope make with the ground? Round your final answer to the nearest tenth of a degree.

Answers

Answer:

83.333 degress

Also where i solved for side a is pointless i just realised :p

Step-by-step explanation:

okay Imma head into some trig stuff here so sorry.

the hypotenuse of the triangle would be 60m

the height is 50m

Using pythag theorem we can concur that a = 10.488

a = 10.488

b= 50m

c = 60m

now we just use sin (feta) = 50/60

sin(feta) = .8333

or 83.3 degress.

-Gage Millar, Algebra 1/2 tutor

In general, as sample size increases: a.the standard error will remain the same regardless of changes in sample size. b.the standard error fluctuates in size. c.the standard error increases in size. d.the standard error is a constant. e.the standard error decreases in size.

Answers

Answer:

With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean

Step-by-step explanation:

Which point is a solution for the inequality 3x – 2y < 5


a (3, 2)

b (2, 3)

c (5, 2)

d (8, 5)

how do I solve this?

Answers

You can solve this by substituting each x value and y value into the inequality to see if they work. If they do, that point is a solution.

3*3 - 2*2 < 5
9 - 4 < 5
5 < 5
False

3*2 - 2*3 < 5
6 - 6 < 5
0 < 5
True

3*5 - 2*2 < 5
15 - 4 < 5
11 < 5
False

3*8 - 2*5 < 5
24 - 10 < 5
14 < 5
False

B. (2, 3) is the only point that worked, so that is the answer! :D

Which is the graph of f(x) = 5(2)"?

Answers

Answer:

AWKT

5 × 2 = 10

x=10

y=0

(10,0)

solve pls brainliest

Answers

Answer:

420

Step-by-step explanation:

300+40% equals 420 so he earned 420 last month from the commission

Answer:

$120

Step-by-step explanation:

A 40% commission means he earns 40% of the total revenue. That's 40% of $300 in this case.

To convert from a percentage to a multiplier, divide by 100:

[tex]\frac{40}{100} =0.4[/tex]

Then multiply the total revenue by that number:

[tex]300*0.4=120[/tex]

CAN SOMEONE PLEASE HELP ME!! this is like my 4th time trying to re-answer this question so PLEASE help!
Using the information below draw a diagram, making sure to label the sides and angles, to help answer the following 2 questions. Don’t forget to label your answer.

∆ABC ≅∆DEF
AC = 15 in., AB = 24 in., m∠A = 34°, m∠C = 124°
What are the values of DE and m∠E?

DE = ______ m∠E = ________

Answers

Answer:

go to https://www.rcboe.org/cms/lib010/GA01903614/Centricity/Domain/1030/Ch.%203.3.pdf

Step-by-step explanation:

i think that will help

Evaluate -(2-6)(23).
O A. -8
O B. 33
O c. - 3
O D. 8

Answers

i think it’s definitely-3

-3 c

The following equation is true because of the distributive property, YES or NO.

2(y + 5) = 2y + 10

Answers

The answer is yes.

Step-by-step explanation:

The number outside the bracket gets multiplied with both the numbers inside the bracket.

i need to know the answer to number one

Answers

Answer:

If the slope of the line is 3, it either decreases or increases by 3 everytime. (3x) If the y-intercept is 0, then when the line intercepts with the graph, it will intercept with (0, 0)

Step-by-step explanation:

Basically, the slope means how much the line increases or decreases. The y-intercept means where the line will intercept or start on the y-axis. If the y-intercept was 5, it would be (0, 5)

The answer is 69 hope this helps :)

x÷12;x=2/3 Help ASAP please.

Answers

Answer:

I think this is it 2/36=1/18

Step-by-step explanation:

if x = 2/3 then you will multiply by the reciprocal of 12 which is 1/12.

2/3x1/12= 2/36

simplified 1/18

Answer: 1/18 or 0.555555 continuous in decimal form
X=2/3, so plug in the X into x/12. Rewrite as (2/3)/12=1/18

Hopefully, this helps

what is the value of a rectangular prism with a length of 2x, a width of x-2, and a height of x+2?

Answers

Answer:

what do you mean by x?

Step-by-step explanation:

Solve (x – 3)² =5 give your answers to the correct 3 significant figures

Answers

Answer:

5.236

Step-by-step explanation:

A production line produces 34 of a mile of yarn every 14 of an hour. What is the unit rate of miles of yarn per hour?

Answers

Is the 34 meant to be three quarters or one 34th of a mile of yarn?
And is the 14 meant to be one quarter or one 14th?
I’ve solved it as three quarters and one quarter but if this is not what you meant then you may have to adjust the anwser

The required unit rate in miles of yarn per hour is given as 2.43 miles of yarn per hour.

Given that,
A production line produces 34 a mile of yarn every 14 an hour. The unit rate of miles of yarn per hour is to be determined.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is the rate of change?

Rate of change is defined as the change in value with rest to the time is called rate of change.

Here,
Unit rate = line produced / time
Unit rate = 34 / 14 = 2.43 miles of yarn per hour.

Thus, the required unit rate in miles of yarn per hour is given as 2.43 miles of yarn per hour.

Learn more about the rate of change here: https://brainly.com/question/13103052

#SPJ2



Weighted Sums and Averages: Quarterback Ratings
Use the following equation to determine quarterback ratings.
25 + 10(%COMP) + 40(%TD) - 50(%INT) + 50(YD)
OR =
12
1. Using the equation above, find the quarterback rating for Dak Prescott, Dallas Cowboys
Quarterback for 2019.
.
.
% comp 65.1
% TD 5
% Int 1.8
YD 8.2

Answers

Answer:

22

Step-by-step explanation:

What is 4.06 increased by 17?

please help me ​

Answers

Answer:

21.06

Step-by-step explanation:

4.06 increased by 17

4.06 + 17

21.06

Help, I'll give Brainliest to the correct answer!!

Answers

+400, +50, 50 - 400, 50 + (-400) = -350

+400, -120, -120 - 400, -120 + (-400) = -520

+400, -75 3/4, -75 3/4 - 400, -75 3/4 + (-400) = -475 3.4

-200, +610, 610 - (-200), 610 + 200 = 810

-200, -50, -50 - (-200), -50 + 200 = 150

-200, -500, -500 - (-200), -500 + 200 = -300

-200, 0, 0 + 200, 0 - (-200) = 200

-200, 120 1/2, 120 1/2 - (-200), 120 1/2 + 200 = 320 1/2

I think this might be the answer.

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