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!
Evan ran 20 meters in 5.8 seconds. Yelena ran 20 meters in 5.4 seconds. Who ran faster? Explain how you
know.
Answer: Yelena
Step-by-step explanation:
5.4 is shorter than 5.8
Answer:
Yelena
Step-by-step explanation: I know this because Yelena and Evan both ran the same distance, but Yelena's time for the run was faster than Evan's.
is it
A) X || Z
B) A T Z
C) A || B
D) X T A
Answer:
Well I would say the answer is A
Step-by-step explanation:
Because there is no metion of line A
Hope this helps have an awsome day!
Which of the following rational number between 3/7 and 7/8 ?
13/56
19/56
27/56
53/56
Answer:
Step-by-step explanation:
There are two ways to do this. You could use your calculator to find out the decimal numbers that are equivalent to the two given fractions. Then check which one of the givens falls between these two numbers. I wouldn't do it that way -- not when you are told that the answer has 56 as the denominator. So ...
The best way to do it is to change the two givens so that they have a denominator of 56
3/7 = 3*8/7*8 = 24 / 56
7*7 / 7*8 = 49 / 46
So you need a number that is between 49 and 24
There is only one 27 / 56
1) Use the point at (4, 6) to answer the following. *
7 points
1. Which situation is best described by the graph
shown?
a. purchases chips for $0.75 per bag.
b. Mark buys packs of gum for $1.50 each.
c. Paula pays $0.50 per ticket at the fair.
d. Franco purchases flowers for $3.00 each.
NEED ANSWER ASAP! State the possible RATIONAL zeros for the function. Then find all the rational zeros. Use the rational zeros theorem (p/q) and please show work!! tysm!!!
the function:
f(x) = 3x^3 + 11x^2 + 5x - 3
Answer:
Use the Rational Zero Theorem to find rational zeros
Step-by-step explanation:
David is making his own strawberry yogurt. In David's mixture, the number of strawberries is proportional to the amount of milk, in cups. David uses 4 cups of milk for every 14 strawberries in his mixture. Which equation represents the relationship between s, the number of strawberries, and m, the number of cups of milk he uses?
4 cups of milk = 14 strawberries
We want to find out how many strawberries for one cup of milk. We can set a proportion.
4 / 1 = 14 / S
Cross multiply to solve for S.
4S = 14
S = 7/2
S = (7/2)M
which units in the metric system are used to measure distance?
Answer:
In the metric system of measurement, the most common units of distance are millimeters, centimeters, meters, and kilometers.
I think it is right ...
x−5/8=2x−1 solve for x
Answer:
[tex] if \: \frac{x - 5}{8} = 2x - 1) \times 8 \\ x - 5 = 16x - 8 \\ 15x = 3 \\ x = \frac{15}{3} \\ \therefore \: x = 5 \\ if \: your \: quetion \: is \\ x - \frac{5}{8} = 2x - 1) \times 8 \\ 8x - 5 = 16x - 8 \\ 8x = 3 \\ x = \frac{3}{8} \\ try \: to \: use \: brackets \: next \: time[/tex]
A manager started a meeting with his staff at 9:30.The meeting ended at 10:25.How long did the meeting last
How long the meeting last = End time - Starting time
= 10:25 - 9:30
= 9:85 - 9:30 [I converted 10:25 to make it easier to see the
subtraction. This is posibble because 1hr = 60mins]
= 55 mins
A road starts at sea level and climbs steadily, reaching an elevation of 2000 feet after 8 miles, as shown in the diagram.
What is the elevation in feet of the road 5 miles from the starting point?
(a.) 750
(b.) 1000
(c.) 1250
(d.) 1500
will give brainliest
Which translation vectors could have been used for the pair of figures ?
Answer:
Step-by-step explanation:
Base on the question where as asking to state the translation vectors could have been used for the pair of figures, base on my research, I would say that the answer would be arrow pointing to the right.
...........................................
.
Answer:
............................................ ............
Answer: I am unable to solve this problem.
forty three thousandths as a decimal? please hurry i need an answer now!
Answer:
0.043
Step-by-step explanation:
what does ( ) mean??
Answer:
those are two parentheses, on being the start and one being the end
Find the measure of the missing angles.
98°
с
b
Answer:
196
Step-by-step explanation:
a- 98
b-196
c-196
d=98
add 98+98=196
what the power a when 5^a = 1/125
Answer:
a = -3
General Formulas and Concepts:
Algebra I
Solving Exponential EquationsExponential Property [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 5^a = \frac{1}{125}[/tex]
Step 2: Solve for a
Rewrite: [tex]\displaystyle 5^a = \frac{1}{5^3}[/tex]Rewrite [Exponential Property - Rewrite]: [tex]\displaystyle 5^a = 5^{-3}[/tex]Set: [tex]\displaystyle a = -3[/tex]A smartphone costs $140. Sales tax is 4%. What is the total cost, including tax?
Answer:
145.60
Step-by-step explanation:
Solve for p.
3(p + q) = p
A. q = â€"two-thirds
B. q = â€"start fraction three over two end fraction
C. p = â€"two-thirds
D. p = â€"start fraction three over two end fraction
Solve for b, then find the value of b when a = 3.
4a = 2b â’ 7
A. â€"nine-halves
B. five-halves
C. nineteen-halves
D. 17
d = rt
A. r = dt
B. r equals t over d
C. r equals d over t
D. r equals d minus t
Find the width of a rectangle with a perimeter of 90 and a length of 15.
A. 90
B. 15
C. 45
D. 30
Answer: C
Step-by-step explanation:
thank me later
x^2 - 6x + 1 = 0 by completing the square
Answer:
See below.
Step-by-step explanation:
x^2 - 6x + 1 = 0
x^2 - 6x = -1
We halve the coefficient of x (which is -6/2 = -3) and square it, then add this to both sides:-
x^2 - 6x + (-3)^2 = -1 + (-3)^2
x^2 - 6x + 9 = -1 + 9
(x - 3)^2 = 8
x - 3 = ±√8
x = 3 ± √8
= 0.17, 5.83 to 2 decimal places.
Answer:
[tex]x = - 2 \sqrt{2} + 3 \\ or \\ x = 2 \sqrt{2 } + 3[/tex]
what two numbers have a sum of 4 and product of 12
Answer:
6 and 2 this is the answer my child.
10x+5 is greater than or equal to 2x-3
Answer:
x ≥ - 1
Step-by-step explanation:
10x + 5 ≥ 2x - 3 ( subtract 2x from both sides )
8x + 5 ≥ - 3 ( subtract 5 from both sides )
8x ≥ - 8 ( divide both sides by 8 )
x ≥ - 1
1
Select the correct answer.
What is the solution for t in the equation?
It - t = 2
=
.
t =
7
30
A. B.
t
11
O C.
t = 6
OD.
30
For my mathematics homework
Answer:
how do u solve this?
Step-by-step explanation:
Without finding the product, what is the sign of this product?(-4)(-1)(-2)(-6)(-3)(-5)(-2)(-2)
Answer:
positive (+)
Step-by-step explanation:
- × - = +
+ × - = -
+ × + = +
Answer:
there are 8 numbers, all are negetive and they are multiplied with each-other
we know, (-negative)(-nagative) = positive number
so even quantity of negative numbers multiplied with each-other makes a positive number.
so the sign of the product is +
Step-by-step explanation:
The base of a 14-foot ladder is 5 feet from a building, If the ladder reaches the flat roof, how tall is the building?
The height of the wall of the building is 13.067 feet.
What is the Pythagorean theorem?Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides. According to this statement, the areas of the squares on the other two sides add up to the size of the square whose side is the hypotenuse.
Given that the base of a 14-foot ladder is 5 feet from a building. The height of the building will be calculated as below:-
Applying the Pythagorean theorem to calculate the height of the building.
H² = P² + B²
14² = P² + 5²
P² = 14² - 5²
P = √171 = 13.07 feet
Therefore, the height of the wall of the building is 13.067 feet.
To know more about the Pythagorean theorem follow
https://brainly.com/question/343682
#SPJ2
5a+3a-4=36
Somebody please answer this
Answer:
a=4
Step-by-step explanation:
combine like terms
8a-4=36
add on both sides
8a-4+4=36+4
8a=32
divide
a=32/8
a=4
Answer:
a = 5
Step-by-step explanation:
5a+3a = 8a
8a - 4 = 36
8a - 4 + 4 = 36 + 4
8a = 40
a = 40 divied by 8
a = 5
Solve the linear equation below using the substitution method
x-3y=7
2x+3y=9
guess my age and ill make you brianlest 2007 8 14
Answer:
15 or 16
is it? I dont know
Answer:
14 year old
Step-by-step explanation:
8 14 2007
I need help asap
write an inequality that represents the graph .
Answer:
x ≤ -5
-5 is the point and the point is filled and pointing to the left so it's less than or equal to
qs and tv are parallel lines