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.

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Related Questions

Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 28 bags of leaves. How much money did he earn?

Answers

Answer:

$48

Explanation:

24 Divided by 5 = 4.8 times 10 =48

Answer:

$56

Step-by-step explanation:

$10 divided 5=$2

one bag $2

28bags=$2 multiply 28=$56

You are going on vacation. You have $105 to take with you. You expect to spend $15 each day. You want to have $30 remaining at the end of the vacation. Write an explicit formula to represent this scenario. For how many days can you spend $15 a day?

Answers

Answer:

105-15x=30

5 days

You can spend the amount of $15 a day for 5 days if you have $105 to take with you.

What is a numerical expression?

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

You're going on vacation. You have $105 with you. You plan to spend $15 per day. You want to have $30 left at the end of your trip.

Let the number of days would be x

According to the given information, the required solution would be as

105 - 15x = 30

The above explicit formula represents the given scenario.

105 - 15x = 30

Rearrange the terms in the above equation,

15x = 105 - 30

Apply the subtraction operation,

15x = 75

x = 75/5

Apply the division operation,

x = 5

Therefore, you can spend the amount of $15 a day for 5 days.

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3x+15+2x+20 help pls solve for x​

Answers

Answer:

[tex]\boxed{\boxed{\sf 5x+35}}[/tex]

Step-by-step explanation:

[tex]\sf 3x+15+2x+20[/tex]

→ Combine like terms:

[tex]\sf 3x+2x+15+20[/tex]

[tex]\sf (3x+2x)\leadsto5x[/tex][tex]\sf (15+20)\leadsto 35[/tex][tex]\sf 5x+35[/tex]____________________________________

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST

Answers

If the number is before the less than sign < then it is less than the number to the right
D the number is fewer than 4
D is the answer because < means less than so d us saying m is less than 4

what is 5/11 closest too

Answers

Answer:

__

0.45

__

__ means it's on-going, so 0.45454545

2q+6=12. 2q=6. Q= plz help me

Answers

Answer:

2q=6       Subtract both sides by 6

q=3          Divide both sides by 2

Step-by-step explanation:

2q+6=12

2q=6       Subtract both sides by 6

q=3          Divide both sides by 2

Hope this helps :)

Answer:

Well this is common algebra

So you want to isolate the variable so in this case you subtracted 6 on both sides.

Now you jsut divide both sides by 2 which is 2q/2=q

6/2=3

q=3

ABCD is a rectangle. Its diagonals meet at O. Find the value of x if BO = 3x + 4 andOC = x + 8 .Also find the length of its diagonals.(Lengths are in cm).


pls help will mark as brainlist ​

Answers

Step-by-step explanation:

the lengths OB, OC & BC together forms a isosceles triangle.

therefore,

OB=OC

3x+4=x+8

2x=4

x=2.

OB = 3x+4= 3.2+4=10cm.

OC= x+8= 2+8=10cm.

therefore, the diagonals are : 20cm each.

hope this helps you.

consider the equation ​

Answers

Answer: 6

Step-by-step explanation:

1. 2(4 + px) = 12x (write it down)

2. 8 + 2px = 12x (distributive property)

3. 8/2 + 2px/2 = 12x/2 (divide all by 2

4. 4 + px = 6x

5. 4 = 6x - px

Plug all in:

4 = 6x - 2x (possinle)

4 = 6x - 6x (not possible)

4 = 6x - 12x (possible)

4 = 6x - 24x (possible)

Answer: 6

because:

4 = 6x - 6x

4 = 0

What is the surface area?
8 ft
8 ft
8 ft

Answers

Answer:

192!!!

Step-by-step explanation:

y = -3x + 5
y = 7 + 3(x - 2)
y = 2(x - 1) - 4
y = x - 6
determine if they represent a linear or nonlinear function.

Answers

Answer:

linear

Step-by-step explanation:

They are all Linear all of them

Please help Please thank you

Answers

Answer: C) The student made an error in step 3.

Step-by-step explanation:

When dividing by a negative while working with inequalities, you must "flip the sign."  Thus, there is an error in step 3.

N.B. The answer could very well be interpreted as B), but I believe C) is the best and most defensible answer.

Hope it helps :) and let me know if you want me to elaborate.

Answer:

nvm

Step-by-step explanation:

Malachi is shopping for toothbrushes. He can buy a package of 2 for $3.48 or a package of 4 for $6.60. Which is a better buy?
Group of answer choices

The package of 4 is a better buy.

The package of 2 is a better buy.

They are the same.

Answers

Well if we multiply 3.48 times two which would make 4 toothbrushes it would be 6.96. So this means if we wanted a better deal on more toothbrushes. The answer would be the package of 4
3.48x2= 6.96. Therefore if you bought the pack of 4 toothbrushes it would be a better deal bc you can get the same amount of toothbrushes for less since the 4 pack is 6.60 =)

If you can walk 3/8 of a mile in 1/9 hour, how far could you walk in one hour

Answers

9514 1404 393

Answer:

  27/8 = 3 3/8 miles

Step-by-step explanation:

To find the rate in miles per hour, divide miles by hours.

  (3/8 mi)/(1/9 h) = (3/8)·(9/1) mi/h = 27/8 mi/h = 3 3/8 mi/h

You can walk 3 3/8 miles in 1 hour at that rate.

Which pair of sneakers has the lowest sale price?

A) 20% off $35
B) 10% off $29
C) 15% off $30
D) 30% off $38

Answers

The answer is A because you have to take 20/100-35 and you do the same for A-D

15% off $30 has lowest sale price. Therefore, option C is the correct answer.

What is sale price?

A sale price is the discounted price at which goods or services are being sold.

A) 20% off $35

20/100 ×35

= 0.2×35

=$7

Sale price =35-7=$28

B) 10% off $29

10/100 ×29

= 0.1×29

= 2.9

Sale price =29-2.9

= $26.1

C) 15% off $30

15/100 ×30

= 0.15×30

= 4.5

Sale price =30-4.5

= $25.5

D) 30% off $38

30/100 ×38

= 0.3×38

= $11.4

Sale price=38-11.4

= $26.6

Therefore, option C is the correct answer.

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Which diagram is NOT a good model of 2÷1/8

Answers

Answer:

16 i believe

Step-by-step explanation:

Write the equation of the line described below in point-slope form.

Answers

Answer:

just pay attention dude

Is that the right answer

Answers

Answer:

I believe so!

Step-by-step explanation: makes since to me!!

I don’t know what way the line goes

Answers

Answer:

line goes from bottom left to top right or as we would call it positive. now the +5 is your y intercept so start at 5 and go up one over 2 right because that is your slope

Which equations are true equations?

Select all correct answers.


62−22=4+7⋅22

54 ÷ 6 + 3² = 4 + 4²

8042=10−22−1

19−2⋅5=9⋅73−9

Answers

We want to see which ones of the given equations are true equations. Here we will see that the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

We define a true equation as an equation where the thing at the left is equal to the thing on the right, so we need to check that for all the given equations.

1) 62 − 22 = 4 + 7⋅22

We just solve each side, we will get:

40 = 158

This is not a true equation.

2) 54 ÷ 6 + 3² = 4 + 4²

   9 + 9 = 4 + 16

   18 = 18

This is a true equation.

3) 8042 = 10 − 22 − 1

Clearly, this is not a true equation.

4) 19 − 2⋅5 = 9⋅73 −9

   19 - 10 = 657 - 9

           9 = 648

This is not a true equation.

Then the only true equation is the second one:

54 ÷ 6 + 3² = 4 + 4²

If you want to learn more, you can read:

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Which postulate would prove the two triangle congruent?

Answers

Answer:

SSS

Step-by-step explanation:

The two triangles share DT so they must be congruent

Last week, Pauline worked 35 hours and made $280. The boss at Pauline’s company makes $600 a week. How many hours would Pauline need to work to make $600?

Answers

Pauline needs to work for 75 hours to make $600

Given that Pauline worked 35 hours and made $280, this can be written as:

35 hours = $280

If Pauline’s company makes $600 a week, this can be expressed as:

x = $600

35/x = 280/600

35/x = 28/60

28x = 35 * 60

28x = 2100

x = 2100/28

x = 75

This means that Pauline needs to work for 75 hours to make $600

Learn more here: https://brainly.com/question/3796978

Answer:

Step-by-step explanation:

This is a list of ingredients for making a cake for 8 people.
Ingredients for 8 people
200 g flour
190 ml cream
60ml milk
4 eggs
Work out the amount of each ingredient needed to make a cake for 4 people

Answers

Answer:

100g flour

95ml cream

30ml milk

2eggs

Step-by-step explanation:

You just half them all

plz help will mark as brainliest​

Answers

Answer:

45⁰

according to question the answers is given here in the image / attachment . please follow these steps.

this is my attachment answer hope it's helpful to you

Which represents the solution set of the inequality 5x-9<_21?

O<_12/5
O>_12/5
O x>_6
O x<_6

Answers

Answer:

[tex]x\leq 6[/tex]

Step-by-step explanation:

[tex]5x-9\leq 21\\\\5x-9+9\leq 21+9\\\\5x\leq 30\\\\\frac{5x}{5}\leq \frac{30}{5}\\\\x\leq 6[/tex]

isaacs new panoramic television is 40 inches and 9 inches high. what is the diagonal size of Isaac’s television?

Answers

Answer:

41 inches

Step-by-step explanation:

To solve for the diagonal length of his television, we can use the formula:

a² + b² = c²

Square the length and width of the TV then add them together. Then find the square root of the sum.

40² = 1600

9² = 81

1600 + 81 = 1681

√1681 = 41

Apply the distributive property to factor put the greatest common factor

250 - 150x=

Answers

Answer:

50(5-3x)

Step-by-step explanation:

250=2*5^3

150=2*3*5^2

GCF=2*5^2=50

250/50=5

150/50=3

50(5-3x)

Owen is driving to a concert and needs to pay for parking. There is an
automatic fee of $12 just to enter the parking lot, and when he leaves the lot,
he will have to pay an additional $3 for every hour he had his car in the lot.
How much total money would Owen have to pay for parking if he left his car
in the lot for 5 hours? How much would Owen have to pay if he left his car in
the lot for t hours?
Cost of parking for 5 hours:
Cost of parking for t hours:

Answers

Answer:

$39

Step-by-step explanation:

because 12 enter and leave is 24 then 3 per he that is 39$

How many cubic blocks of side length
inch would it take to fill a
rectangular prism with a length,
width, and height of inch,
inch, and inch, respectively?

Answers

Answer: inch cubic blocks

Step-by-step explanation:

12 + 4 | 4y + 8 | = 20

Answers

12 plus 4 plus 8 is 24. so y is -1 because each y takes away 1.

Can someone please do this for me?

Answers

Answer:

x= 105

y= 40

Step-by-step explanation:

3y=4y-40 because they are alternate interior

Solve for y.

y=40

4y-40=x+15 because they are vertical angles.

Substitute 40 in for y.

4(40)-40=x+15

Solve.

x=105

Answer:

y = 40 and x = 105

Step-by-step explanation:

4y-40 = 3y

y = 40

4(40)-40 = 120

x+15 = 120

x = 105

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