A company is considering purchasing mineral rights to two different mountains. The probability that it will purchase the mineral rights to the mountain is 0.55. The probability that will purchase the mineral second mountains 0.4. Assuming the decisions to purchase the mineral rights to each mountain are made independently, the probability that it will purchase the mineral rights to exactly one of the two mountains?

Answers

Answer 1

Answer:

.51

Step-by-step explanation:

P(F)=.55, P(S)= .4

P(F ∩ not S)= .55×.6=.33

P(S ∩ not F)= .4×.45=.18

.33+.18=.51

Answer 2

Answer:

The probability of purchasing mineral rights to exactly one of the two mountains is 0.51.

Step-by-step explanation:

Given information:

A company is considering purchasing materials:

The probability of purchasing mineral rights

Form the first mountain [tex]p_1=0.55\\[/tex]

From the second mountain [tex]p_2=0.4[/tex]

As the decision is made independently

So, P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]=0.55 \times 0.6\\[/tex]

P([tex]p_1[/tex]∩ not[tex]p_2[/tex]) [tex]= 0.33\\[/tex]

Similarly, the value of

P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.4 \times 0.45[/tex]

P([tex]p_2[/tex]∩ not[tex]p_1[/tex]) [tex]=0.15[/tex]

Hence , [tex]P=0.33+0.18[/tex]

[tex]P=0.51[/tex]

Hence , the probability of purchasing mineral rights to exactly one of the two mountains is 0.51.

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Related Questions

A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henry has $14.00, which of the following shows the number of miles you can afford to ride in the taxi?

Answers

Answer:

The total cost of the taxi service is the flat free and the total amount that is based on the distance. Let x be this distance. The equation that would best represent the situation is,

                                             1.25 + 0.75x = 14

Solving for x gives the answer of 17. Thus, Henri can afford to travel 17 miles.

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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What will be the perimeter of rectangle W'X'Y'Z'?


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Answer:

12

Step-by-step explanation:

To gather information about the accuracy of a new cholesterol test, a random sample of 20 hospitals was selected from the state. The new test was administered to every patient in the selected hospitals. What kind of sample is this?
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Answers

Answer:

The answer is a) a cluster sample.

Step-by-step explanation:

This is because the hospitals are the randomly picked clusters.

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Answer:

0

Step-by-step explanation:

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Answers

Answer:

87.5

Step-by-step explanation:

2 inches is 70 miles. .5 inches is 17.5 and add them together and you get 87.5.

Please mark brainliest.

Answer: D. 87.5 miles

Step-by-step explanation:

They have given us a scale that 1 inch = 35 miles.

Since the distance is 2.5 inches, we have to multiply 2.5 inches by 35 miles.

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2.5 times 35 = 87.5 miles

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In Buffalo New York the temperature was 10f in the morning if the temperature rose 10f what is the temperature now? Use a vertical number line to find the number.

Answers

Answer:

The temperature now is 20°F

Step-by-step explanation:

The given parameters are;

The initial morning temperature in Buffalo New York = 10°F

The rise in temperature in Buffalo New York = 10°F

The current temperature in Buffalo New York = The initial morning temperature in Buffalo New York + The rise in temperature in Buffalo New York

∴ The current temperature in Buffalo New York = 10°F + 10°F = 20°F.

PLEASE HELP NOW ASAP Peyton is collecting data on the lunch habits of students at Nicholas Orem Middle School. In one class, 14 students bring lunch from home, and 20 buy a school lunch. Nicholas Orem Middle School has 1700 students. From the data collected, how many students would Peyton predict would buy a school lunch? *

Answers

Answer:

1000 students buy a lunch

Step-by-step explanation:

14 bring lunch

20 buy lunch

There are 34 kids in the sample class (14 + 20)

14/34 = .412 = 41.2%

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14 / 34  = x / 1700 cross multiply

14 (1700) = 34x

23,800 = 34x   Divide each side by 34

23800/34 = 34x/34

23800/34 = x

700 = x

So 700 students bring a lunch.

1700 - 700 = 1000

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Answers

Answer:

72 cm is the correct one

Answer:

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Step-by-step explanation:

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They will need 8 cups/pints for the milk shakes

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Answer:

I believe the answer is -60

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

It is 4

Step-by-step explanation:

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A. 108 degrees

B. 98 degrees

C. 92 degrees

D. 88 degrees

Answers

Answer:

C. 92 degrees

Step-by-step explanation:

Given that the [tex]\angle{wxy}=[/tex]92° which is one of the angles of the quadrilateral WXYZ

The quadrilateral is first rotated by 270° about the origin and then translated 2 units up, the new position of the quadrilateral is W'X'Y'Z'.

The shape of the quadrilateral is remained unchanged due to rotation and translation, so all the angles of the final quadrilateral W'X'Y'Z' is the same as the angles of the given quadrilateral WXYZ.

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By using the given value,

[tex]\angle{w'x'y'}=[/tex] 92°

Hence, option (C) is correct.

Rotating and translating quadrilateral WXYZ would not change its angle measure.

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[tex]\mathbf{WXY = 92^o}[/tex]

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This means that: angles WXY and W'X'Y are congruent

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[tex]\mathbf{WXY = W'X'Y}[/tex]

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Answers

Answer:

False

Step-by-step explanation:

Giveng(x) = ln xTo findg(u) = 2g(v)Solutiong(u) = ln u2g(v) = 2ln v

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41

Step-by-step explanation:

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-2w-5(-4z+2w)+2z

Answers

Answer:   −12+22

Rearrange terms

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−2−10+20+2

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Combine like terms

−12+20+2

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Answers

Answer:

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Step-by-step explanation:

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Andrea has $18 to spend. She spent $6.50, including tax, to buy a notebook. She needs to save $5.75, but she wants to buy a snack. If candy bars cost $1.15 per package including tax, what inequality would show the maximum number of packages that Andrea can buy? Solve your inequality by showing your work and steps. (10 points)

Answers

Answer:

is the missing number

Step-by-step explanation: The missing number would have to determine what the ineqaulities are

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Answer:

The number of candy packages is going to be represented by the variable c.

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Sam wants the magnitude of the difference from 78 ounces to be less than 2.5 ounces. He can find the limits by setting that magnitude to 2.5.

Answer:

b

Step-by-step explanation:

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Answers

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Step-by-step explanation:

Ramon earns $1,795 each month and pays $53.10 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

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Answers

Answer:

The new length is 39 cm

Step-by-step explanation:

We will use the ratio method to solve the question

∵ A length, originally 9cm, is increased

∴ The original length = 9 cm

∵ The ratio of the new length to the old length is 13 : 3

→ That means the ratio is ⇒ New : Original is 13 : 3

∴ The ratio New : Original = 13 : 3

→ By using the ratio method

→  New  :  Original

→  13      :   3

→  x        :   9

→ By using cross multiplication

x × 3 = 13 × 9

∴ 3x = 117

→ Divide both sides by 3

∵ [tex]\frac{3x}{3}[/tex] = [tex]\frac{117}{3}[/tex]

x = 39

∵ x represents the new length

∵ x = 39

The new length is 39 cm

simplify the following expressions.


Rectangle Length (cm) Width (cm)

#1 (1 + 9x) 4

#2 (5n + 7) 6

#3 (4 - 3p) 8

#4 (6p - 7) 4

#5 (3m - 6) 5

#6 (x + 9) 5

Answers

1. 36x + 4
2. 30n + 42
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4. 24p -28
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I attached you in the image the answer. The blue corresponds to the first exercise and the red one to the second. Good luck! And I hope it helped you!

The total number of seashells s divided by 10

Answers

What is the number seashells

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Answers

Answer: 5% of 500 is 1

Step-by-step explanation:

-3x - 5y = -15
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Answers

Answer:

1) x = -y + 5

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2) y = 0

Step-by-step explanation:

what is the value of x in the equetion 3/4(1/4x+8)-(1/2+2)-3/8(4-x)-1/4x?​

Answers

3/4*1/4= 3/16 or 0.1875 (you times 3 by 1 and 4 by 4)
3/4*8= 6
first bracket = 3/16+ 6
1/2+2= 2 1/2 or 2.5
second bracket = -2.5
-3/8*4= -1.5
-3/8*x= -3/8x or -0.375x
third bracket= -0.375x
so

(0.1875+6) - (2.5) - (0.375x) - (0.25x)
collect like terms
6.2 - 2.5 = 3.7
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3.7-0.125x is your answer in decimal form

(3/16+6/1) - (2 1/2) - (3/8x-1/4x)

(6 3/16 - 2 1/2 )

(3 11/16)

3/8x-1/4x= 1/8x

final answer = 3 11/16 - 1/8x
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143 is divided in to 2:3:6
Calculate the smallest share

Answers

Answer:

26

Step-by-step explanation:

2+3+6=11

143/11*2=26

Answer:

26

Step-by-step explanation:

13 each

26 for 2

39 for 3

78 for 6

all together equals

143 for 11 or 2:3:6

Please Helpppp
What is the value of v?



45(v−7)=2



Enter your answer as a mixed number in simplest form in the box.

v =

Answers

Answer:

The solution is: v = [tex]9\frac{1}{2}[/tex]

Step-by-step explanation:

Given equation is:

[tex]\frac{4}{5}(v-7) = 2[/tex]

The given equation is a linear equation in one variable. The solution requires isolating v on one side of the equation. Simple equality properties can be used to solve the equation.

So,

Multiplying both sides of equation with 5

[tex]5*\frac{4}{5}(v-7) =5* 2\\{4}(v-7) = 10[/tex]

dividing both sides by 4

[tex]\frac{4(v-7)}{4} = \frac{10}{4}\\v-7 = \frac{5}{2}\\[/tex]

Adding 7 on both sides

[tex]v-7+7 = \frac{5}{2}+7\\v = \frac{5+14}{2}\\v = \frac{19}{2}\\v = 9\frac{1}{2}[/tex]

Hence,

The solution is: v = [tex]9\frac{1}{2}[/tex]

9x - 4 = 5x - 4 + 4x

Answers

Answer:

x = 1

Step-by-step explanation:

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

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