Answer:
(a) The expected value is: $0.40625
(b) The expected value is: $0.4286
Step-by-step explanation:
Solving (a): Raffle 1
Given
[tex]Tickets=800[/tex]
[tex]Value = \$2[/tex] per ticket
[tex]Grand\ Prize = \$450[/tex] ---- for 1
[tex]Consolation = \$100[/tex] --- for 2
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
[tex]Amount = Tickets * Value[/tex]
[tex]A_1 = 800 * \$2[/tex]
[tex]A_1 = \$1600[/tex]
Next, calculate the total amount of the prizes
[tex]Amount = Tickets * Value[/tex]
[tex]A_2 = \$450 * 1 +\$100 * 2[/tex]
[tex]A_2 = \$450 +\$200[/tex]
[tex]A_2 = \$650[/tex]
The expected value E(x) of 1 ticket is calculated as:
[tex]E(x) = \frac{A_2}{A_1}[/tex]
[tex]E(x) = \frac{\$650}{\$1600}[/tex]
[tex]E(x) = \$0.40625[/tex]
Solving (b): Raffle 2
Given
[tex]Tickets=350[/tex]
[tex]Value = \$2[/tex] per ticket
[tex]Grand\ Prize = \$150[/tex] ---- for 1
[tex]Consolation = \$50[/tex] --- for 3
Required
The expected value of each ticket
First, calculate the total amount of the 800 tickets
[tex]Amount = Tickets * Value[/tex]
[tex]A_1 = 350 * \$2[/tex]
[tex]A_1 = \$700[/tex]
Next, calculate the total amount of the prizes
[tex]Amount = Tickets * Value[/tex]
[tex]A_2 = \$150 * 1 +\$50 * 3[/tex]
[tex]A_2 = \$150 +\$150[/tex]
[tex]A_2 = \$300[/tex]
The expected value E(x) of 1 ticket is calculated as:
[tex]E(x) = \frac{A_2}{A_1}[/tex]
[tex]E(x) = \frac{\$300}{\$700}[/tex]
[tex]E(x) = \$0.4286[/tex]
please help i’ll give brainliest
Answer:
Step-by-step explanation:
The answers are 1, 3, and 4 hundred percent sure it is correct
30 pts pls awnser all questions i give BRAINLIEST help meee
10; decreases
8: decreases, increases
7: increases, stays the same, increases, stays the same, increases.
9: increases, increases
I hope that this is correct and was able to help
Janet walks 950 metres every day. Determine what distance would Janet walk in an entire week. Express your answer in kilometres. (Remember to show your work
Answer:
6.65 kilometers
Step-by-step explanation:
950 * 7 days a week = 6650 meters
6650 meters / 1000 (conversion to kilometers) = 6.65 kilometers
Answer:
6.65 km
Step-by-step explanation:
Let's solve this in a set of fraction forms. Since 1 day is 950 meters, 1 week will be converted to days to be on equal grounds. 1 week = 7 days. Therefore, let us set up a fraction; Let "x" be the variable
[tex]\frac{950}{1}=\frac{x}{7}[/tex]
Step 1: Switch sides
[tex]\frac{x}{7}=\frac{950}{1}[/tex]
Step 2: Apply rule [tex]\frac{a}{1}=a[/tex]
[tex]\frac{x}{7}=950[/tex]
Step 3: Multiply both sides by 7
[tex]\frac{7x}{7}=950\cdot \:7[/tex]
Step 4: Simplify
[tex]x=6650[/tex]
Expressed: [tex]\frac{6650 meters}{1000}[/tex] (convertion to kilometers) = 6.65 kilometers
Therefore, Janet would walk 6.65 km in an entire week
Use synthetic division to find the result when 3x^3-19x^2-12x-14 is divided by x−7.
Answer:
your look hard what grade you in
Step-by-step explanation:
Write 5.11x10^3 in standard form
Answer:
[tex]5.11 \times {10}^{3} \\ = 5.11 \times 1000 \\ = 5110[/tex]
Answer:
5110
Step-by-step explanation:
In order to solve this, we need to know what a "power" in math is, and then we just do the following...
[tex](5.11)(10^{3}) = (5.11)(1000) = 5110[/tex]
If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..
A) the slope of the line AB
B) The length of the line AB
Answer:
Slope = 27/11AB = 29.15 uStep-by-step explanation:
Given :-
Two points are given to us .The points are A(7,15) and B(18,42)To Find :-
The slope of the line .The length of line AB .We can find the slope of the line passing through the points [tex]( x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex]as ,
[tex]\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}[/tex]
Plug in the respective values ,[tex]\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}[/tex]
Hence the slope of the line is 27/11 .
[tex]\rule{200}2[/tex]
Finding the length of AB :-
We can find the distance between them by using the Distance Formula .[tex]\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }[/tex]
Hence the length of AB is 29.15 units .
Durning the summer , a shoe store sells sneakers and sandals at a ratio of 4:7 . If the store sells 164 pair of sneakers, how many pair of sneakers and sandals does the store sell in all ?
Answer:
x = number of pairs of sandals sold = 287
Total pair of sneakers and sandals sold = 451 pairs
Step-by-step explanation:
Sneakers = 4
Sandals = 7
Sneakers : sandals = 4 : 7
If the store sells 164 pair of sneakers
Let
x = number of pairs of sandals sold
Sneakers : sandals = 164 : x
Equate both ratios to find x
4 : 7 = 164 : x
4/7 = 164/x
4 * x = 7 * 164
4x = 1,148
x = 1,148/4
x = 287
x = number of pairs of sandals sold = 287
how many pair of sneakers and sandals does the store sell in all ?
Total pair of sneakers and sandals sold = Sneakers + sandals
= 164 + 287
= 451 pairs
Total pair of sneakers and sandals sold = 451 pairs
Solve for X
show me what steps to do for this one
Answer:
x = 24
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
120° is an exterior angle of the triangle, then
2x + 3x = 120
5x = 120 ( divide both sides by 5 )
x = 24
Answer:
here ig ..this is all
Step-by-step explanation:
sry if I got wrong
stay safe ...
What is 442.1 × 11 =
Answer: 4,863.1
Step-by-step explanation:
PLS HELP no bots ;(((
Enter the coordinates of the point on the unit circle at the given angle.
300 degrees
(1/_, -_/2)
Answer:
1/2 -3/2
Step-by-step explanation:
The 15th term of an arithmetic sequence is 21 and the common difference is -4.
(a) Find the first term of the sequence.
(b) Find the 29th term of the sequence.
(c) Find the sum of the first 40 terms of the sequence.
Answer:
a. Firat term of the sequence= 77
b. 29th term of the sequence= -35
c. Sum of the first 40 terms of the sequence= -40
Step-by-step explanation:
The first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.
Given that, [tex]a_{15} =21[/tex] and d=-4.
What is the nth term of the arithmetic sequence?The nth term of the arithmetic sequence is [tex]a_{n} =a+(n-1)d[/tex].
To find the first term of the sequence:
[tex]a_{15}[/tex]=a+(15-1)(-4)
⇒21=a+(15-1)(-4)
⇒a=77
To find the 29th term of the sequence:
[tex]a_{29}[/tex]=77+(29-1)(-4)=-35
To find the sum of the first 40 terms of the sequence:
The first n terms of a sequence [tex]=\frac{n}{2}[2a+(n-1)d)][/tex]
[tex]S_{40} =\frac{40}{2}[2 \times77+(40-1)(-4))][/tex]
=20(154-156)=-40
Therefore, the first term of the sequence is 77, the 29th term of the sequence is -35 and the sum of the first 40 terms of the sequence is -40.
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Write a number using the following clues:
a multiple of 4
greater than 30 but less than 100
Answer:
Theres a lot of numbers you can choose from 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96,
Step-by-step explanation:
Keisha's teacher gives her the following information:
• m, n, p, and q are all integers and p = 0 and q +0
• A= and B=;
What conclusion can Keisha make?
Answer: b
Step-by-step explanation: b
if my grade is a 77& and I get a 40% on a test what will my grade be?
Answer:
It really all depends on how much percent of your grade the test is worth. If your current average is 77%, and the test is worth 30-100% of your grade, then the 77% will likely become 75% or even 73%.
Step-by-step explanation:
It all just depends.
If the expression above is rewritten in the form a+bi, where a and b are real numbers, what is the value of a?
Answer:
......................................,........
Find an equivalent ratio in simplest terms: 15 : 27
help plz 30 points and brainliest! <3
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-2, 2)A(−2,2)A, left parenthesis, minus, 2, comma, 2, right parenthesis, B(6, 2)B(6,2)B, left parenthesis, 6, comma, 2, right parenthesis, C(6, 3)C(6,3)C, left parenthesis, 6, comma, 3, right parenthesis, and D(-2, 3)D(−2,3)D, left parenthesis, minus, 2, comma, 3, right parenthesis.
What is the area of rectangle ABCDABCDA, B, C, D? Please Help
Answer:
Step-by-step explanation:
The rectangle ABCD has vertices A(-2,2), B(6,2), C(6,3) and D(-2,3).
Now, length of side AB = [6 - (- 2)] = 8 units.
{Since the line AB is parallel to the x-axis, so the length of the segment AB will be the difference between the x-coordinates of the points A and B}
Again, line BC is parallel to y-axis and hence the length BC = (3 - 2) = 1 units.
Therefore, the area of the rectangle ABCD will be (8 × 1) = 8 sq. units. (Answer)
Answer:
8 Square Units
Step-by-step explanation:
Each state can set its own minimum wage. If the federal and state minimum wages are different, the highest minimum wage is used.
True
False
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Wages are usually identified as the money you are paid per hour. For instance, the current minimum wage in the United States, meaning the least per hour an employer can pay a worker, is $7.25 an hour. Minimum wage is determined by the Federal Department of Labor. Individual states can set a higher minimum wage for its citizens. In those instances where the federal and state minimum wages are different, the higher minimum wage is used.
PLZZZ HELP ASAP LAST ONE TYSM
Answer:
answer: 31.4
Step-by-step explanation:
the formula to finding circumference is just diameter × pi we arent given the diameter so we have to figure it out but what we do know is the radius is half of the diameter so 5 x 2 = 10 so now that we have the diameter we just multiply by pi so 10 × 3.14 = 31.4 Hope this helps!
Answer:
10 π m
Step-by-step explanation:
Given,
Radius ( circle ) = 5 m
To find : Circumference ( circle ) = ?
Formula : -
Circumference ( circle ) = 2πr
Circumference ( circle )
= 2 x π x 5
= 10 π m
I’m tired and I just want to get this done. I’ve gotten too many wrong so far. Pls help!
Answer:
the first option is correct: t(n) = 125([tex]\frac{1}{5}[/tex])ⁿ
Step-by-step explanation:
7. There are 3 ways to get from Town A to Town B, 4 ways to get from Town B to Town C, and another 5 ways to get from Town C to Town D. In how many different ways could we get from Town A
to Town D?
A.60
B.1320
C.12
D.220
Answer:
Its A
Step-by-step explanation:
I took the quiz.
The total number of different ways he can get from Town A to Town D is
60 ways , Option A is the correct answer.
What is Combination ?The way of selecting objects from a group of objects such that the order does not matter.
It is given that
There are 3 ways to get from Town A to Town B
The total number of ways he can select one route is ³C₁ = 3
There are 4 ways to get from Town B to Town C
The total number of ways he can select one route is ⁴C₁ = 4
There are 5 ways to get from Town C to Town D
The total number of ways he can select one route is ⁵C₁ = 5
The total number of different ways he can get from Town A to Town D is
3 * 4 * 5
= 60 ways
Therefore Option A is the correct answer.
To know more about Combination
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expand -9(9-p)
...................................
Answer:
35
Step-by-step explanation:
Answer:
-81+9p
Step-by-step explanation:
-9(9-p)
-9×9-9×-p
-81-9×-p
-81-(-9p)
-81+9p
9p-81
plz help, photo above
Answer:
D
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Emily is encouraged to read more than 4 hours each week. It takes her 45 minutes to finish her first book. She divides the remainder of the time equally amongst the other six days. What is the minimum number of minutes she should read each day? Write and solve an inequality. put this is an inequality pls!!
Step-by-step explanation:
x > 4 hours/week
4 hours is 240 minutes
45 minutes/ 1st book
4 hours minus 45 minutes is 3 hours and 15 minutes
3 hours and 15 minutes = 195 minutes
195 minutes ÷ 6 = 32.5 minutes
make the formula working backwards
(240 - 45) ÷ 6 > x
1st answer gets brainliest!!!
The surface area of this regular pyramid is 1040 cm2. The base is a regular pentagon with side b = 16 cm and slant height l =15 cm. Find its apothem (a).
PLEASE show work :))
Right triangle A B C. Side A C is 10 meters, side B C is 20 meters, and hypotenuse A B is blank.
Find the area of the triangle.
a.
620 sq. m
c.
100 sq. m
b.
200 sq. m
d.
180 sq.m
Answer:
C) 100 sq. meters
Step-by-step explanation:
LIST THE ANGLES OF THE TRIANGLE FROM LEAST TO GREATEST ILL BRAINLIEST YOU IF YOU GET IT RIGHT
The length of a rectangle is 4 cm more than 3 times its width. If the area of the rectangle is 15 cm², find the width.
Answer:88888888
Step-by-step explanation:
HELP PLS HELP ILL MARK YOU BRAINLEST
a) 12°, 78°
b) 18°, 72°
c) 15°, 165
d) 36°, 144°