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
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST
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?
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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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?
Answer: inch cubic blocks
Step-by-step explanation:
Which represents the solution set of the inequality 5x-9<_21?
O<_12/5
O>_12/5
O x>_6
O x<_6
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]
Which diagram is NOT a good model of 2÷1/8
Answer:
16 i believe
Step-by-step explanation:
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?
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
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Answer:
Step-by-step explanation:
12 + 4 | 4y + 8 | = 20
12 plus 4 plus 8 is 24. so y is -1 because each y takes away 1.
I don’t know what way the line goes
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
Write the equation of the line described below in point-slope form.
Answer:
just pay attention dude
plz help will mark as brainliest
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
what is 5/11 closest too
Answer:
__
0.45
__
__ means it's on-going, so 0.45454545
Which postulate would prove the two triangle congruent?
Answer:
SSS
Step-by-step explanation:
The two triangles share DT so they must be congruent
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
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.
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.
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:
Answer:
$39
Step-by-step explanation:
because 12 enter and leave is 24 then 3 per he that is 39$
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
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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Please help Please thank you
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:
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.
Answer:
linear
Step-by-step explanation:
3x+15+2x+20 help pls solve for x
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]____________________________________If you can walk 3/8 of a mile in 1/9 hour, how far could you walk in one hour
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.
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
Answer:
100g flour
95ml cream
30ml milk
2eggs
Step-by-step explanation:
You just half them all
Apply the distributive property to factor put the greatest common factor
250 - 150x=
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)
Can someone please do this for me?
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
Is that the right answer
Answer:
I believe so!
Step-by-step explanation: makes since to me!!
isaacs new panoramic television is 40 inches and 9 inches high. what is the diagonal size of Isaac’s television?
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
consider the equation
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
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
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
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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?
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
2q+6=12. 2q=6. Q= plz help me
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
What is the surface area?
8 ft
8 ft
8 ft
Answer:
192!!!
Step-by-step explanation: