Step-by-step explanation:
The order of the numbers doesn't matter, so we'll use combinations instead of permutations. The number of combinations is:
₄₅C₈ = 215,553,195
So the probability of a ticket having the winning combination is 1 / 215,553,195.
The expected value to the state is:
E(X) = 10,000 (1) ($2) + 10,000 (1 / 215,553,195) (-$1,000,000)
E(X) = $19954
The expected value to you is:
E(X) = 10,000 (1) (-$2) + 10,000 (1 / 215,553,195) ($1,000,000)
E(X) = -$19954
An oilfield contains 6 wells that produce a total of 1,800 barrels of oil per day. For each additional well that is drilled, the average production per well decreases by 25 barrels per day.
Required:
How many additional wells should be drilled to obtain the maximum amount of oil per day?
Answer:
The additional wells for maximum amount of oil per day is 3 wells.
Step-by-step explanation:
Given;
initial number of wells, n = 6
total production, T = 1800
average production per well, = 1800/6 = 300 barrels per day
Let the additional well = y
total number of wells after optimization = 6 + y
new production per well = 300 - 25y
new total production = (6+y)(300-25y)
t = 1800 - 150y + 300y - 25y²
t = 1800 + 150y - 25y²
dt / dy = 150 -50y
for maximum value, dt/dy = 0
150 - 50y = 0
50y = 150
y = 150 / 50
y = 3
Therefore, the additional wells for maximum amount of oil per day is 3 wells.
33 additional wells should be drilled, reaching 39 wells, to obtain the maximum amount of oil per day.
Given that an oilfield contains 6 wells that produce a total of 1,800 barrels of oil per day, and for each additional well that is drilled, the average production per well decreases by 25 barrels per day, to determine how many additional wells should be drilled to to obtain the maximum amount of oil per day, the following calculation must be performed:
1800 x 6 = 10800 1200 x 30 = 36000 1000 x 38 = 38000 950 x 40 = 38000 900 x 42 = 37800 975 x 39 = 38025
Therefore, 33 additional wells should be drilled, reaching 39 wells, to obtain the maximum amount of oil per day.
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Can any one help me?
What is the slope and y-intercept of the linear equation y = 5x − 4?
m =
b =
Answer:
I got it right on edge 2020/2021
Step-by-step explanation:
m=5
b=-4
Jason delivers newspapers on Saturdays and Sundays only. Each newspaper weighs about 1 pound 5 ounces. If he delivers 15 newspapers each day, how much do the two days' worth of newspapers weigh in pounds and ounces?
Answer:
39pounds 6oz
Step-by-step explanation:
15x2=30
1x30=30pounds
5x30=150oz
30p+150oz=39.37500
37500p=6oz
39pounds and 6 oz
Emilia wrote a total of 12 pages over 4 hours. After spending 6 hours writing this week, how
many pages will Emilia have written in total? Assume the relationship is directly proportional.
Answer:
30 pages
Step-by-step explanation:
Knowing she wrote 12 pages in 4 hours, we can do 12/4 to get 3 pages per hour. Multiply 3 pages by the 6 hours she spends writing and you get 18 pages in 6 hours. Add 12 pages and 18 pages and you have 30 pages.
How many days are in 5 years? Correct answer gets brainliest. 2 possible answers
Answer:
1826.21099
Step-by-step explanation:
Answer: 1825 days.
Step-by-step explanation: 365x5=1825
translate the sentence into an equation
The sum of 6 times a number and 2 is equal to 3
Answer:
6x + 2 = 3
Step-by-step explanation:
x would represent the unknown number
The sum refers to addition
6 times a number would be 6x (you can use any variable, but for this example I'm using x)
When you put it all together, it is 6x + 2 = 3
The required equation is 6x + 2 = 3.
It is required to find the equation.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers
Given:
The sum of 6 times a number and 2 equals 3.
According to given question we have,
Let the number be x.
6 times a number would be
6x
The sum of 6 times a number and 2 equals 3.
6x + 2 = 3.
Therefore, the required equation is 6x + 2 = 3.
Learn more about equation here:
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A diver swims 5.875 feet up to the surface of the water. Which number represents the diver’s position in relation to the surface before swimming to the top?
-5.9 feet
Negative 5 and three-fourthsfeet
-58 feet
Negative 5 and StartFraction 7 over 8 EndFractionfeet
Answer:
Negative 5 and 7 over 8
Step-by-step explanation:
Answer:
Negative 5 and StartFraction 7 over 8
Step-by-step explanation:
Equivalent Expressions
Warm-Up
Active
Evaluating an Expression
Complete the statements.
Evaluate (15 - 4x) + 5 when x = 3.
Substitute the given value for the
Evaluate within
parentheses.
to simplify.
Use the
inside the
Evaluate exponents.
First, complete the
parentheses.
Next, complete the
parentheses.
Last, complete the addition.
inside the
Multiply and divide
from left to right.
The value is
Add and subtract
from left to right.
Answer:
Complete the statements.
Substitute the given value for the
✔ variable
.
Use the
✔ order of operations
to simplify.
First, complete the
✔ multiplication
inside the parentheses.
Next, complete the
✔ subtraction
inside the parentheses.
Last, complete the addition.
The value is
✔ 8
.
Step-by-step explanation:
Plz give me brainlest
Answer:
Variable, order of operations, multiplication, subtraction, 8.
Step-by-step explanation:
Got it right Edge2021
Multiply: -12y(y - 6) Enter the correct answer.
LUCILLE'S PENCIL POUCH WOULD HOLD 3/8
OF THE 48 PENCILS THAT SHE PURCHASED AT
THE BEGINNING OF THE NEW SCHOOL YEAR. How many pencils will fit in her pouch
HOW MANY PENCILS WILL FIT IN HER POUCH?
Answer:
The pouch would be able to hold 12.8 pencils :)
Step-by-step explanation:
because 3/8 is 37.5 and if you do that divided by 48 and add a decimal infront of the eight you will get your answer
f(x) = 2x^3 g(x) = x-3
find f(2)
find g(4)
find (f+g) (x)
[tex]f(x) = 2 {x}^{3} [/tex]
[tex]f(2) = 2 \times {2}^{3} = 2 \times 8 = 16 [/tex]
_________________________________
[tex]g(x) = x - 3[/tex]
[tex]g(4) = 4 - 3 = 1[/tex]
_________________________________
[tex](f + g)(x) = f(x) + g(x) [/tex]
[tex](f + g)(x) = 2 {x}^{3} + x - 3 [/tex]
_________________________________
Done...♥️♥️♥️♥️♥️
Riley and Rhoda plan to buy several bags of dog food and a dog collar. Each bag of dog food costs $7, and the dog collar cost $5
Answer:
2bags= $14 + $5
3bags= $21+ $5
4bags= $28 + $5
5bags= $35 + $5
6bags= $42 + $5
multiply # of bags by 7
and add $5
please help me with this question
Answer:
2c^2
Step-by-step explanation:
c3-c1=c2
d2-d2=0
8/4=2
C: Determine the measure of the obtuse angle formed at the intersection of AV and HI
Answer:
146°70°104°Step-by-step explanation:
GivenCS║BMTo findA. m∠MIHB. m∠AVMC. Obtuse angle at the intersection of AV and HISolutionA...................................
∠MIH and ∠IHS are same side interior angles and sum up to 180° as per property, therefore
m∠MIH = 180° - 34° = 146°B...................................
∠AVM and ∠VAS are same side interior angles
and ∠VAS and ∠LAH are vertical angles, which are equal as per property of vertical angles, so:
m∠AVM = 180° - m∠VAS = 180° - 110° = 70°C...................................
Obtuse angle at the intersection of AV and HI, if name the intersection point O:
∠AOI = ∠HOV∠AOI = 180° - ∠AOH = 180° - (180° - 34° - 70°) = 104°Kai needs a car to get to work and school. He's decided on a used car with a cost of $12,000. According to his budget he can afford to pay up to $300 per month and car payments. Which loan offer is best for Kai?
Answer:
The answer is Offer 3 because it has the lowest total loan cost of the offers with a monthly payment in his budget
Answer: c, offer 3
Step-by-step explanation: just did the quiz
Sub to SZ Lexrn if that does not show search up shiyo on vr and first vid is them please help out , thx bye . If you do it cmt and ill make a post for yall for 100 points, so my friends won't amke fun of me
Answer:
If it counts as a question, lol sure, I'd love to help
M/x =n-p, x for p ??
Answer:
the answer is A) X=m/n-p
Step-by-step explanation:
m/x=n-p
n-p=m/X
(n-p)×x=m
X=m/n-p
Which of the following is a true statement 68/5 - 22/5 = 9 1/5
Please somebody awnser
Answer:
The answer is D
Step-by-step explanation:
I took the test and got it right <3
Answer: The first question in the selection is correct!
Step-by-step explanation:
-3/7 % -1/2 =??
What is the answer to this equation
Answer:
-0.21428571428
PLEASEEE HELPPP!!!! Find the slope given the points (-14,-7) and (-11,-16).
Answer:
-3
Step-by-step explanation:
Answer:m= -3
Step-by-step explanation:
7th grade math help me plzzz
Answer:
11.a) is 15+5.50+3 maybe
11.b) is $3.50 because 15-12=3 3+5.50=8.50 8.50+3=11.50 11.50-8=3.50
what is the sale tax on a $14,500 truck if the tax rate is 9%
Answer:
$15, 805.00
Step-by-step explanation:
Tax is based on the state you live in.
Determine the quotient of 2 over 5 divided by 3 over 4
Answer:
8/15
Step-by-step explanation:
For a certain type of sand, 1 cubic foot weighs 80 pounds. The sand goes in a container that weighs 40 pounds. Use the Ray tool to make a graph that shows the total weight of the container and sand, w, filled with n cubic feet of this sand. I need the coordinates for the graph please.
Answer:
First, let's write our equation in a general way.
We know that:
1 cubic foot weighs 80 pounds.
The container weighs 40 pounds.
Then, if i put n cubic feet of sand in the container, the total mass will be one time the mass of the container plus n times the mass of one cubic foot of sand.
We can write this as:
w(n) = 40lb + n*80lb
This is a linear equation, where the y-axis will represent the mass in pounds and the x-axis will be the number of cubic feet of sand in the container in units, a graph of this is shown below.
You can see that it is really steep, this is because for really small increments in n, the weight increases a lot.
Answer
ok, Just plot the points at (0,40) and (2,200) :))
Geometric Sequence♡
5, -2, 4/5
the common ratio was 2/5
find the 10th term
M is the midpoint of line segment PQ. MQ = 5x + 8 and PQ = 6x + 65, find x
Answer:
freeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
trump 20202020202020020202020
PRACTICE ANOTHER Is 4a a factor of 2a · 38b? (Assume that a and b represent integers.) Yes, because 4 is a multiple of 38. Yes, because 2a · 38b = 4a · 19b where 4a and 19b are integers because a and b are integers and products of integers are integers. Yes, because 4a is a divisor of 38b. No, because 38 is not a divisor of 4. No, because 2a · 38b = 4a · 19b where 4a and 19b are not necessarily integers because products of integers are not always integers.
Answer:
Yes, [tex]2a . 38b = 4a . 19b[/tex]
Step-by-step explanation:
Given
[tex]Expression: 2a.38b[/tex]
Required
Is 4a a factor of the expression?
Analyzing each option.
1.
[tex]2a . 38b = 4a . 19b[/tex]
[tex]76ab = 76ab[/tex]
The above expression is true.
Hence: This option answers the question
The sum of 48 and itself, its half and half of the half is added to 18.
Answer:
150
Step-by-step explanation:
This is a word problem which should be tackled accordingly.
The sum of 48 and itself
= 48+48
= 96
It's half and half of its half
= 48/2 and (48/2)/2
= 24+ 24/2
= 24+12
= 36
Is added to 18
= 96+36+18
= 150
From the description above the entire sum is 150.
Evaluate 12x−3y when x=−14 and y=3.
Answer:
-177
Step-by-step explanation:
12(-14) -3(3)
-168-9
-177
Answer:
-177
Step-by-step explanation:
Plug in -14 for x and 3 for y:
12(-14) - 3(3)
Note that when you multiply a positive and a negative number, your answer will be negative.
Multiply:
12 * -14 = -168
-3 * 3 = -9
Combine the terms:
-168 + (-9) = -168 - 9 = -177
-177 is your answer.
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