The expected value of the profit is $-1 when the student council is hosting a drawing to raise money for scholarships
What is probaility?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event
The expected value of any discrete variable X is calculate as:
E(X)=X1*P(X1)+X2*P(X3)+...+X3*P(X3)
Where X1, X2, ..., X3 are the values that the variable can take and P(X1), P(X2), ..., P(X3) are their probabilities.
In this case the variable X is the dollars that can win, so:
X1=$2,000
X2=$300
x3=$20
X4=$0
Then the probabilities can be calculate as:
[tex]P(X_1)=\dfrac{1}{600}\\\\\\P(X_2}=\dfrac{3}{600}\\\\\\P(X_3)=\dfrac{15}{600}\\\\\\P(X_4)=\dfrac{581}{600}[/tex]
Replacing the variables and probabilities on the equation of expected value we get:
[tex]E(X)=(2000\times \dfrac{1}{600})+(300\times \dfrac{3}{600})+(20\times \dfrac{15}{600})+(0\times \dfrac{581}{600})[/tex]
E(X)=$4
Additionally, the student bought a ticket by $5, so the expected profit can be calculate as:
Expected Profit = Expected Earnings - Cost = $4 - $5 = $-1
Finally, the expected value of the profit is $-1
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Pls help me, this is due by tonight. What is the volume
Hopefully easy for some of you. :)
Answer:
115.86
Step-by-step explanation:
What is the volume of a cube with sides measuring 1.5 inches
Answer:
A cube with a side length of 3 inches has a volume of 27 cubic inches.
Step-by-step explanation:
yes
This question is worth 20 points if someone answers it!
The maximum number of tourists in the third week will be maximum in the numberville city.The solution of f(x)=h(x) will be x(5,2).
What are equations?The equation is actually a relationship between the numbers and the variables.
To calculate the number of the tourists in the third week we will put the value 3 in every function:
[tex]f(x)=x^2+5x+10=(3)^2+(3\times 3)+10=29\\\\\\g(x)=3^x=3^3=27\\\\\\h(x)=10x=10\times 3=30[/tex]
So we can see that the function third h(x) numberville city is having a maximum number of tourists.
The solution of f(x)=h(x) will be calculated as:
[tex]x^2-3x+10=10x\\\\\\x^2-7x+10=0\\\\\\x^2-5x-2x+10=0\\\\\\x(x-5)-2(x-5)=0\\\\\\x=5,2[/tex]
Hence the solution of f(x)=h(x) will be x(5,2).
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Which expression is equivalent to 18x+8y?
Answer
2 (9 x + 4 y)
Hope this helps :)
Part A
Which expression can be used for the missing side length of the rectangle?
Part B
Find the length of the missing side when x = 3. Round answer to the nearest tenth.
Length = in.
Answer:
d
Step-by-step explanation:
(8x)^2 = (2x)^2 + y^2
64x^2 - 4x^2 = y^2
60x^2 = y^2
y = 2x√15
liam has 12 red ballons and 14 blue ballons he puts all of his ballons into 2 equal groups how many ballons are in each group
Answer: 6 red and 7 blue
Step-by-step explanation:
Cut in half the amount of each balloon
Please help I need it quick!!!! Please
Answer:
Question 1
Cost per 10,000 Popsicle sticks = $725.20
⇒ Single Popsicle stick = 725.20 ÷ 10000 = $0.07 (nearest cent)
Question 2
Cost per 1,000 motherboards = $8,730
⇒ Cost of Single motherboard = 8730 ÷ 1000 = $8.73
Cost per 10 motherboards = $100
⇒ Cost of Single motherboard = 100 ÷ 10 = $10
Difference = 10 - 8.73 = $1.27
Question 3
Create a table with the cost per 1 unit:
[tex]\begin{array}{| c | c | c | c |}\cline{1-4} \sf PART & \sf COST\:PER\:1\:of\:10 & \sf COST\:PER\:1\:of\:1000 & \sf COST\:PER\:1\:of\:10000\\\cline{1-4} \sf Motherboard & \$10.00 & \$8.73 & \$7.04 \\\cline{1-4} \sf Processor & \$5.00 & \$1.25 & \$0.63 \\\cline{1-4} \sf Popsicle & \$0.10 & \$0.09 & \$0.07 \\\cline{1-4} \sf Motor & \$4.50 & \$0.18 & \$0.04 \\\cline{1-4} \sf Sensor & \$6.30 & \$4.54 & \$3.18 \\\cline{1-4} \sf Small\:gear & \$1.00 & \$0.80 & \$0.70 \\\cline{1-4} \end{array}[/tex]
From inspection of the table, the Motor saves the most money per unit when 10,000 is bought, since the difference between the cost of 1 unit is the greatest for this part.
Question 4
Cost of 1100 motherboards
= cost of 1000 + cost of 10 x 10
= 8730 + 100 x 10
= 8730 + 1000
= $9,730
Question 5
Cost of 12050 sensors
= cost of 10000 + cost of 1000 x 2 + cost of 10 x 5
= 31752 + 4536 x 2 + 63 x 5
= 31752 + 9072 + 315
= $41,139
please help will give brainliest
Evaluate: 2 • [(6 + 1)2 + 1]
Answer:
20
Step-by-step explanation:
2•[(6+1)2+1]
2•[(7)3]
2•10
• means times
2×10
20 answer
Answer:
p
Step-by-step explanation:
2 • [(6 + 1)2 + 1]
First The Brackets :
[(6 + 1)
->>> 6 + 1
= 7
But there's a bracket around 6 + 1 so now we multiply
-->>> [(7)2 + 1]
->>> 7 x 2
= 14
So now we add :
-->>> 14 + 1
= 15
And now we multiply:
->>> 15 • 2
--->>> 30
Hope it helps :))))
Select the correct answer.
Factor completely
5x² - 45
OA (5x + 9)(x - 5)
O.B. 5(x - 45)
OC. 5(x-9)(x+ 9)
OD. 5(x+3)(x - 3)
Reset
Next
Answer:
D. 5(x + 3)(x - 3)
Step-by-step explanation:
Both terms are perfect squares, therefore we will factor using the difference of squares formula;a² - b² = (a + b) (a - b)
5(x + 3)(x - 3)
5(x² - 9)
(5x² - 45)
5x² - 45
Option D is correct, the factored form of the expression 5x² - 45 is 5(x+3)(x - 3)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 5x² - 45
Five times of x square minus forty five
x is the variable and minus is the operator
Let us take 5 common from the expression to find the factor form
5(x² - 9)
5(x² - 3²)
Now we know that a² - b² = (a+b)(a-b)
5(x+3)(x-3)
Hence, the factored form of the expression 5x² - 45 is 5(x+3)(x - 3)
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what is the product ?
Answer:
b) 25x² - 1
Step-by-step explanation:
→ (5x + 1)(5x - 1)
→ 25x² + 5x - 5x - 1
→ 25x² - 1
Thus, option (b) is the answer.
3x+5y= -9
Y= 2x-7
Use substitution to solve the system
Answer:
x = 2
Step-by-step explanation:
3x + 5y = -9 ___(1)
y = 2x - 7
Substituting y's value in (1) ..
3x + 5( 2x - 7) = -9
3x + 10x -35 = -9
13x = -9 + 35
13x = 26
x = 26/13
x = 2
please help thank you
Jack and Marcy are at an amusement park. Jack is standing 75 meters from a hot air balloon ride. He is recording Marcy with his cell phone as she gets into the basket of the balloon and the hot air balloon begins to rise.
Tan65°=h/75m
2.1445 × 75 = h
h = 160.83
Step-by-step explanation:
This is very very simple
How can I get 9th grade to add up to 500? You can only change summer and fall. Thank you
Answer:
8th fall- 203 9th fall-95
Step-by-step explanation:
the 9th total is 500
8th fall is 203
9th fall is 95
Tell whether the system has one solution, infinitely many solutions, or no solution.
Answer:
Has infinite solutions
Explanation:
-x + 5y = -3..... eq1
2x - 10y = 6 .... eq2
===============
make x the subject in equation 1
-x + 5y = -3
-x = -3 - 5y
x = 5y + 3
========= insert this in equation 2
2(5y + 3) - 10y = 6
10y + 6 -10y = 6
6 = 6
So, Has infinite solutions as L.H.S = R.H.S
Write down the exact value of tan 60
Answer:
[tex] \sqrt{3} [/tex]
Goodluck
Answer:
[tex]\sqrt 3[/tex]
Step-by-step explanation:
[tex]\tan 60^{\circ} = \dfrac{\sin 60^{\circ}}{\cos 60^{\circ}} = \dfrac{\tfrac{\sqrt 3}2}{\tfrac 12} = \dfrac{\sqrt 3}2 \cdot 2 = \sqrt 3[/tex]
Pls help me and show work! Thank you <3
Answer: 23
Step-by-step explanation:
By the alternate exterior angles theorem, [tex]4x-11=x+58 \longrightarrow x=\boxed{23}[/tex]
How much dollars is 92¢?
Its 0.92
Sure hope this helsp you :D
16) Graph g(x) = x + 3 + 2
11.75 in fraction form
Answer:
47/4 but you can simplify it to 11 3/4
Step-by-step explanation:
11 is the whole number and 75 is 3/4ths of 1 or another whole number.
PLEASE HELP ME, I GIVE 69 POINTS FOR CORRECT ANSWER
A square pyramid has a base with an area of 20 square meters, and its lateral faces have a slant height of x meters. Sydney is constructing a second square pyramid with the same size base, but the lateral faces of her pyramid have a slant height twice as long, 2x. Which statement best describes how the surface area of Sydney’s pyramid compares to the surface area of the original pyramid?
A: Sydney’s pyramid will have the same surface area because the One-half in the expression for the area of the triangular faces will make up for the slant height being doubled.
B: Sydney’s pyramid will have the same surface area because the slant height is not used when finding surface area.
C: Sydney’s pyramid will have a surface area that is exactly double the original pyramid’s because the slant height is used when finding the area of every lateral face.
D: Sydney’s pyramid will have a surface area that is greater than the original pyramid’s but not double the area because the slant height is not used when finding the area of the base.
(PS: If you choose C, you're wrong.)
Answer:
D
Step-by-step explanation:
I hope this helps! If it does, please mark me Brainliest! Thanks in advance!
A bottle of laundry detergent is 7/10
full. Jamie uses
3/10
of the bottle to
do her laundry. What fraction of the
bottle of laundry detergent is left?
Explain.
Answer:4/10 =2/5
Step-by-step explanation:
you subtract the numerator but the denominator stays the same. I then found a number that could be divided into both numbers and got 2/5.
What value of x makes this equation true? -80= -120 + X
Answer:
x = 40
Step-by-step explanation:
Preform the opposite opposite operation to get x by itself.
-80 = -120 + x
+ 120 +120
40 = x
Answer:
answer
Step-by-step explanation:
Answer is, 40
Many counties in Florida missed many school days in the fall of 2004 due to hurricanes that year. To make up those days, they added time to each school day for a portion of the year. It was decided that in order to make up a 6 hour school day, 10 minutes would be added to each day. How many extended days would be needed to make up 3 school days?
Answer:
if 10 minutes was added each day 30 minutes is how long it would extend in 3 days
PLEASE HELP ILL MARK AS BRAINLEST
Which statement describes the speed of the remote-control car over time? O The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 2 seconds, and then remains at 5 mili for the last 5 seconds. O The speed of the car increases from 4 mi h to 2 mih in the first 3 seconds, decreases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds. O The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 6 mi/h in the next second, and then remains at 6 mi/h for the last 6 seconds. O The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mih in the next 5 seconds, and then remains at 5 mi/h for the last 10 seconds,
Answer:
Step-by-step explanation:
The explanation of the problem is shown in the attached figure.
AS shown in the graph:
At t = 0 the speed = 4 miles/h then decrease to the speed = 2 miles/h during the first 3 seconds then increased to 5 miles/h during the next 2 seconds, then it became constant at 5 miles/h for the last 5 seconds.
So, the correct option is:
A. The speed of the car decreases from 4 mi/h to 2 mi/h in the first 3 seconds, increases to 5 mi/h in the next 2 seconds, and then remains at 5 mi/h for the last 5 seconds.
The function h is defined as follows.
Screenshot shows the question.
[tex]\sf Simplified[/tex] ⇒ -2h
_______________________
[tex]\sf Given~h(-2)[/tex][tex]\sf Simply~move~2~to~the~left.[/tex]_______________________
Do the ratios 21:45 and 7:15 form a proportion?
Answer:
yes, it form a proportion...
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
294 inches squred
Step-by-step explanation:
3 x 10 = 30
3 x 9 = 27
10 x 9 = 90
2(30) + 2(27) + 2(90) = 294
For what values of a can you solve the linear system az + 3y = 2 and 4x + 5y = 6 by elimination without
multiplying first?
The values
and
Answer:
4, -4
Step-by-step explanation:
I think the first equation is ax + 3y = 2, not az + 3y = 2.
ax + 3y = 2
4x + 5y = 6
To use elimination, you need the coefficients of a to either add to zero, or to have a difference of zero if you subtract them.
a + 4 = 0
a = -4
a - 4 = 0
a = 4
Answer: a must be 4 or -4.
Answer:
-4 and 4
Step-by-step explanation:
Given linear system:
[tex]ax+3y=2[/tex]
[tex]4x+5y=6[/tex]
In order to solve the given linear system by elimination without multiplying first, [tex]a[/tex] must be either -4 or 4. That way, when you add or subtract the equations, the variable [tex]x[/tex] will be eliminated.
when [tex]a = -4[/tex]:
[tex]\large\begin{array}{ l r c c l r}& -4x & + & 3y & = & 2\\+ & 4x & + & 5y & = & 6\\\cline{1-6}& & & 8y & = & 8\\\cline{1-6}\end{array}[/tex]
when [tex]a = 4[/tex]:
[tex]\large\begin{array}{ l r c c l r}& 4x & + & 3y & = & 2\\- & 4x & + & 5y & = & 6\\\cline{1-6}& & & -2y & = & -4\\\cline{1-6}\end{array}[/tex]
if you have 10 goldfish and 3 die how many are left
Answer:
7 goldfish
Step-by-step explanation:
10-3=7
Answer:
10-3=8
i think
