Answer:
a) 1/2
b) 250
Step-by-step explanation:
The start of the question doesn't matter entirely, although is interesting to read. What we are trying to do is find the value for [tex]p[/tex] such that [tex]1000p(1-p)[/tex] is maximized. Once we have that [tex]p[/tex], we can easily find the answer to part b.
Finding the value that maximizes [tex]1000p(1-p)[/tex] is the same as finding the value that maximizes [tex]p(1-p)[/tex], just on a smaller scale. So, we really want to maximize [tex]p(1-p)[/tex]. To do this, we will do a trick called completing the square.
[tex]p(1-p)=p-p^2=-p^2+p=-(p^2-p)=-(p^2-p+1/4)-(-1/4)=-(p-1/2)^2+1/4[/tex].
Because there is a negative sign in front of the big squared term, combined with the fact that a square is always positive, means we need to find the value of [tex]p[/tex] such that the inner part of the square term is equal to [tex]0[/tex].
[tex]p-1/2=0\\p=1/2[/tex].
So, the answer to part a is [tex]\boxed{1/2}[/tex].
We can then plug [tex]1/2[/tex] into the equation for p to find the answer to part b.
[tex]1000(1/2)(1-1/2)=1000(1/2)(1/2)=1000*1/4=250[/tex].
So, the answer to part b is [tex]\boxed{250}[/tex].
And we're done!
giúp mìn vs mngggggg
Answer:
136.99
Step-by-step explanation:
Đây là một câu hỏi dễ chỉ cần sử dụng máy tính
If B = x + 10 and C = x + 2 , find an expression that equals 2B + 2C in standard form.
Answer:
4x+24
Step-by-step explanation:
B = x+10
C = x+2
2B + 2C = 2(x+10) + 2(x+2) = 2x+20+2x+4 = 4x+24
The Lopez family is driving to the state fair. First, they drove 32 kilometers to stop for a snack. Then, they drove another 35 kilometers and stop for gas. There were 17 kilometers left to drive.
How many kilometers does the family have to drive to get to the state fair?
32 kilometers + 35 kilometers + 17 kilometers
= 67 kilometers + 17 kilometers
= 84 kilometers
#LearnWithEXO
Answer:
84 kilometers
I hope it will help you po
So one pls help plzzzz
Please help, I’ll give Brainly
Answer:
c
Step-by-step explanation:
fully simplify (2x+y)^2
Answer:
4
2
+
4
+
2
Step-by-step explanation:
Help me with this please
please help me with this please
Answer:
21
Step-by-step explanation
3 Units x 7 Units = 21 Square Units
Evaluate f(0) given the following graph
Answer:
f(0) = 1
Step-by-step explanation:
Assuming the graph is a function of x, then f(0) = 1.
Plug in 0 for x and ask yourself what is the y coordinate?
x^2 - 16 = 0 by extracting the square root
Answer:
{-4, 4}Step-by-step explanation:
x² - 16 = 0x² = 16x = √16x = ± 4An art teacher recorded whether the students in three of her classes prefer water color or oil painting. The art teacher plans to create a two-way table to analyze her results. Which variables can the art teacher use as the row and column headings of the table? painting preference and total number of students painting preference and number of students in class 1 class number and painting preference class number and number who prefer oil.
Answer:
C.) class number and painting preference
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer:
the answer is C I believe
Step-by-step explanation:
F = 9/5 + 32 PLS ANSWER THIS
Answer: I think it's 32.8
Step-by-step explanation:
Meg will have
1 serving of frozen yogurt for dessert. One serving of frozen yogurt is
3/4 cup. Meg only has a 1/8 cup scoop. How many scoops should Meg use to get 1 serving?
A pink gold bracelet weighs 60 g. It is made from 76% gold, 18% copper and 6% aluminium.
a What is the mass of the gold in the bracelet?
b What is the mass of the copper in the bracelet?
Answer:
m(Au)=45.6 [gr] ; m(Cu)= 10.8 [gr].
Step-by-step explanation:
the masses of gold (Au), copper (Cu) and aluminium (Al) are:
0.76*60=45.6 (gr); 0.18*60=10.8 (gr.) and 0.06*60=3.6 (gr).
Which graph has a slope of 4/5?
cant see pic
Answer:
Step-by-step explanation:
helpppppppppppppppppppppppppppppp meeeeeeeeeeeeeeeeeee plsssssssssssssssssssssss there is more but plss help mee
Answer:
20. A. y= 10x = 15
21. C. Php 75.00
22. B. Php 195.00
Step-by-step explanation:
She has to pay 25 Pesos for one hour and only ten more each hour after that. That can be represented in the formula Y= 10x +15. To solve the rest of the questions, just substitute 6 hours for question 21 and 18 hours for question 22.
I really need help. PLEASE
Answer:
Question 1: 2 Question 2: 1/3 Question 3: -3
Step-by-step explanation:
rise over run :)
A car begins from rest and accelerates at a rate of +3.0 m/s^2 for 5.0 seconds.
a. Determine the car's final speed.
b. Calculate the car's average speed during its trip
Answer:
15m/s
Step-by-step explanation:
we know that
v = u + at
= 0+ 3*5
=15m/s
The final speed of a car is 15 m/s.
Given that, a car begins from rest and accelerates at a rate of +3.0 m/s^2 for 5.0 seconds.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Here, the initial speed = u = 0
Now using v = u + at formula, we get
v = 0+ 3 × 5
=15 m/s
So, final speed is 15 m/s
Average speed is 15 m/s
Therefore, the final speed of a car is 15 m/s.
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Please solve ASAP. Solving quadratic equations by factorising
Answer:
x = 1 , x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
2x² - 5x + 3 = 0
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use these factors to split the x- term
2x² - 2x - 3x + 3 ( factor the first/second and third/fourth terms )
2x(x - 1) - 3(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(2x - 3) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
2x - 3 = 0 ⇒ 2x = 3 ⇒ x = [tex]\frac{3}{2}[/tex]
Two times a number Increased by fifteen is the same as five times a number less than forty three
Step-by-step explanation:
2x+15 = 5x-43
- Add 43 to both sides
2x+58 = 5x
- Subtract 2x from each side
58 = 3x
- Divide by 3
Sebastian was driving down a road and after 4 hours he had traveled 98 miles. At this
speed, how many hours would it take Sebastian to thrive 245 miles?
Fill out the table of equivalent ratios until you have found the value of x.
Answer:
Let x = speed for the first 96 miles
x - 9 = speed for the last 100 miles
Distance = (rate)(time), so time = (distance)/(rate)
(time for first part of trip) + (time for last part of trip) = 4 hours
So, (96)/(x) + (100)/(x - 9) = 4
Multiply both sides by the LCD (x)(x - 9) to get
96(x - 9) + 100x = 4x(x - 9)
96x - 864 +100x = 4x2 - 36x
4x2 - 232x + 864 = 0
Divide both sides by 4 to obtain x2 - 58x +216 = 0
(x - 4)(x - 54) = 0
x = 4 or x = 54
Note that x can't equal 4 because, in that case, x - 9 would be negative, so x = 54 miles per hour.
Step-by-step explanation:
ok
What type of transformation is shown in the figure?
A) dilation
B) rotation
C) reflection
D) translation
Answer:
correct answer is b rotation
A statistician predicts that the probability of Wisconsin losing their next football game is 914. What are the odds for them winning? Write your answer as 1:2 which is reduced as much as possible.
Since the probability of them winning is 5/14, the odds of them winning is 5:14.
Probability of the team losing = 9/14
Probability of the team winning will then be: = 1 - 9/14 = 5/14
It should be noted that in order for us to get the probability of then winning, we have to subtract the fraction from 1 which was what was done above.
Therefore, it can be deduced that since the probability of them winning is 5/14, the odds of them winning is 5:14.
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At the Richard's pound the ratio of cats to dogs is 9 to 6. If there are 45 cats in the pound then
how many dogs are in the pound?
Answer:
30 dogs are in the pound.
Step-by-step explanation:
If the original ratio is 9:6
Then multiply both sides by 5: (9*5) : (6*5)
New ratio: 45:30
[tex]100\times 100\times20[/tex]
Answer:
100 × 100 × 20 = 200,000
Step-by-step explanation:
here pls brainliest
Bia tem 1230 reais, ganhou mais 500 reais, com quantos reais ela ficou?
Answer:
Bia ficará com 1730 reais.
Step-by-step explanation:
1230+700=1730
Solve for n.
3 ( n + 5 ) ≥ 3 n + 8
Answer:
[tex]3(n + 5) \geqslant 3n + 8 \\ 3n + 3 \times5 \geqslant 3n + 8 \\ 3n + 15 \geqslant 3n + 8 \\ 3n - 3n \geqslant 8 - 15 \\ 0n \geqslant - 7 \\ no \: solution \\ thank \: you[/tex]
Answer:
[tex]7 \geqslant 0 \: \: \: \: or \: \: \: \: 0 \leqslant 7 \\ [/tex]
Step-by-step explanation:
[tex]3(n + 5) \geqslant 3n + 8 \\ 3n + 15 \geqslant 3n + 8 \\15 - 8 \geqslant 3n - 3n \\ 7 \geqslant0 \\ [/tex]
Need help asap
solve v 2v-11=17
Answer:
v = 14
Step-by-step explanation:
Add 11 to both sides of the equation
2v-11+11 = 17+11
Simplify. (à la, add the numbers)
2v = 28
Divide both sides of the equation by 2
v = 14
Multiply the binomials: (b+8)•(b-2)
Answer:
[tex]{ \rm{(b + 8)(b - 2)}} \\ \\ = { \rm{ {b}^{2} - 2b + 8b - 16}} \\ \\ = { \rm{ {b}^{2} + 6b - 16}}[/tex]
The square on the right is a scaled copy of the square on the left. Identify the scale
factor. Express your answer as a whole number or fraction in simplest form.
33/2
11
11
33/2
The scale factor as fraction in simplest form is 3/2.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given square on the right is a scaled copy of the square on the left.
So 11 is being multiplied by something to get to 33/2
So 11x = 33/2
Solve for x:
11x = 33/2
x = 33/ 2(11)
x = 3/2
The scale factor as fraction in simplest form is 3/2.
Learn more about multiplications;
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