One of the wagers in roulette is to bet that the ball will stop on a number that is a multiple of 3. (Both 0 and 00 are not included.) If the ball stops on such a number, the player wins double the amount bet. If a player bets $5, compute the player's expectation. (Round your answer to two decimal places.)
Answer:
The player's expectation is a loss of 20 cents.
Step-by-step explanation:
In a game of roulette, there are 38 slots where the ball can stop.
The slots are numbered as follows: {0, 00, 1, 2, 3 ..., 36}.
So, N = 38.
The slots which are multiples of 3 are:
S = {3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33 and 36}
So, n (S) = 12.
Let X = the ball stops on a number that is a multiple of 3
The probability that the ball stops on a number that is a multiple of 3 is:
[tex]P(X)=\frac{n (S)}{N}=\frac{12}{38}=0.32[/tex]
It s provided that the player wins double the amount bet if the ball stops on a number that is a multiple of 3.
Compute the player's expectation as follows:
[tex]E(X)=\sum X\cdot P(X)[/tex]
[tex]=(\$10\times 0.32)+(-\$5\times (1-0.32))\\\\=\$3.20-\$3.40\\\\=-\$0.20[/tex]
Thus, the player's expectation is a loss of 20 cents.
What is the sales tax on a chair with a price tag of $180, if the tax rate is 5.75%?
Answer:
$190.35
Step-by-step explanation:
180 ⋅ 0.0575 = 10.35
Add 180 to 10.35
$190.35
(I could be wrong. Sorry if I am)
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what is the constant of proportionality of p=5a
Answer:
=5x
Step-by-step explanation:
your question might have a different variable witch is the letter at the end
which points are on the line that connects points (0, 4) and(1, 2) Select that all apply.
(4, 0)
(2, 0)
(0.5, 3)
(-1, 6)
(0,2)
(3,1)
Please can anyone explain it’s due In 30 mins
Answer:
Step-by-step explanation:
1) h(t) = 5t + 10
2) plugging in t as 12 to our function, h(12) = 5 * 12 + 10 = 70
3) h(5) = 35 is the function representing the height, 35 feet, travelled in a period of time, 5 seconds.
Can someone help explain this To me? I need help
Answer:
x=18
Step-by-step explanation:
XZ/RT=XY/RS
60/40=(5x-3)/(3x+2)
1.5=(5x-3)/(3x+2)
1.5(3x+2)=5x-3
4.5x+3=5x-3
9=0.5x
18=x
Together, Linda and Penny sold 492 boxes of Girl Scout cookies. Penny
sold 48 more boxes than Linda. How many boxes did Linda sell?
Answer:
222
Step-by-step explanation:
Let L = number of boxes Linda sold.
Let P = number of boxes Penny sold.
The sold a total of 492 boxes.
L + P = 492
Penny sold 48 more boxes than Linda.
P = L + 48
Substitute P with L + 48 in the first equation and solve for L.
L + L + 48 = 492
2L + 48 = 492
2L = 444
L = 222
Answer: Linda sold 222 boxes.
Check:
Penny sold 48 more boxes, so she sold 222 + 48 = 270.
Add the numbers they sold: 222 + 270 = 492
The difference is 48, and the total is 492. Our answer is correct.
Find the exact value for csc225°
Answer:
[tex]-\sqrt2[/tex]
Step-by-step explanation:
csc 225 degrees is the multiplicative inverse of sin 225 degrees. sin 225 degrees. We can use a unit circle with radius of 1 to find out sin 225 degrees. a 225 degree rotation counter clockwise is equivalent to a 180 degree turn followed by a 45 degree turn. Therefore, the final value is going to be in the third quadrant, a 45 degree turn in. This means that sin(225 degrees) = [tex]-\sqrt2/2[/tex] The multiplicative inverse of that is [tex]-\sqrt2[/tex]
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (2,90) and (6,270) to find
the number of soda bottles the machine can make
each minute.
Answer:
.
Step-by-step explanation:
Multi-step equations
20) -5(1 - 5x) + 5(-8x - 2) = -4x - 8x
Which description could be written as a linear function?
a) eight more than twice a number
b) three more than the product of two numbers
c) ten more than the square of a number
d) nine more than one divided by a number
Question:
Which description could be written as a linear function?
Answer:
Option a)
Explanation:
Let 2 numbers be x1 and x2.
For the first option:
Eight more than twice a number.
The graph would be y = 8 + 2x1 which is a linear function.
For the second option:
Three more than the product of two numbers.
The graph would be y = 3 + x1x2 which is a graph function.
For the third option:
Ten more than the square of a number.
The graph would be y = 9 + (x1)² which is a graph function.
For the fourth option:
Nine more than one divided by a number.
The graph would be y = 9 + 1/x1 which is a double-parabole function.
Hopefully this answer will help you.
Answer: option a
Step-by-step explanation:
Just took the test
Hannah bought a sweater on sale for $24. If that was a fourth of the original price what is the original price?
Answer: 6$
Step-by-step explanation:
(I WILL GIVE BRAINLYIST)
A student solves the inequality -50 > 55. Each step in the student's solution is shown below. Identify where the student made any errors.
Answer: pick b
Step-by-step explanation:
Answer:
Step 2 and 3
Step-by-step explanation:
:)
-c + 5d + 7c - 11d + d - 3c
Answer:
3c-5d
Step-by-step explanation:
The difference between a number x and 17 is 24.
Answer: X=7
Step-by-step explanation: X+17=24 subtract 17 from both sides and you would get X=7
Write an equation in slope-intercept form for the line that passes through (4, 7) and is perpendicular to the y-axis.
Answer:
y=2x+3
step explanation:
choose 3 decimals that are greater than 1⁄2, but less than 1
Answer:
0.6 ; 0.7 ; 0.8
Step-by-step explanation:
Change all numbers given to decimals:
1/2 = 0.5
1 = 1.0
Any number that fits x in 0.5 < x < 1.0 is your answer.
Answer choices:
0.6
0.7
0.8
etc.
~
Answer:
0.6, 0.7, 0.8, 0.9
Step-by-step explanation:
1/2 is 0.5 in decimal form. So, decimals that are greater than 0.5 but less than 1 are:
0.6, 0.7, 0.8, and 0.9 etc.
w over 5 = 3
w = ?
needs sum help
Answer:
w=15
Step-by-step explanation:
Solve for w by simplifying both sides of the equation, then isolating the variable.
What is an equation of the line that passes through the points (-2,-5) and (4,7)
Answer:
y=2x-1
Step-by-step explanation:
the other person is wrong
HELP PLEASE IM ON THE EDGE OF FAILING
Answer:
65
Step-by-step explanation:
because at the top it is 65 so at the bottom its....
Answer:
80°
Step-by-step explanation:
Add 65° and 35° together to get 100°
The angles must equal 180° to make a triangle.
180° - 100° = 80°
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what is 1/2- 1 and 1/5
Answer:
-0.7 is the answer to your question
Answer:
Answer:
-0.7 is the answer to your question
Step-by-step explanation:
what is negative 1 and 4/5 as a decimal
Answer:
1.08
Step-by-step explanation:
Answer:
9/5 or -1.8 or -1 4/5
Step-by-step explanation:
Can someone help with this?
Answer:
B
Step-by-step explanation:
Because it has to be less than or no more than $100
Answer:
8=D
Step-by-step explanation:
x+7<13.
^^^^^ answer please & show work .
Step-by-step explanation:
A sequence can be generated by using fn = 2f(n-1)+1, where f1 = 4 and n is a whole number greater than 1. What are the first four terms in the sequence?
Answer:
{9,19,39,79}
Step-by-step explanation:
Recursive Sequences
The recursive sequence can be identified because each term is given as a function of one or more of the previous terms. Being n an integer greater than 1, then:
f(n) = 2f(n-1)+1
f(1) = 4
To find the first four terms of the sequence, we set n to the values {2,3,4,5}
For n=2f(2) = 2f(1)+1
Since f(1)=4:
f(2) = 2*4+1
f(2) = 9
For n=3f(3) = 2f(2)+1
Since f(2)=9:
f(3) = 2*9+1
f(3) = 19
For n=4f(4) = 2f(3)+1
Since f(3)=19:
f(4) = 2*19+1
f(4) = 39
For n=5f(5) = 2f(4)+1
Since f(4)=39:
f(5) = 2*39+1
f(5) = 79
17.546 rounded to the nearest hundred
Answer:
17.55
Step-by-step explanation:
tenths are 1 to the right of the decimal hundredths are 2 places right of the decimal and thousands are 3 times right of the decimal
17.546 rounded to the hundredths is 2 times to the right and there is a 5 that rounds it up to 17.55
Answer:
17.55
Step-by-step explanation:
Hundredth .05-0.09 is 0.1 but 0.04 and lower is 0
find the exact values of the following, giving your answers as fractions.
Giving brainliest to the first person to get all right :)
Answer:
Step-by-step explanation:
The rule for making a negative exponent positive is to take whatever the negative variable is on and put it under a 1.
[tex]3^{-2}=\frac{1}{3^2}=\frac{1}{9}[/tex]
Do that for the next 2:
[tex]4^{-3}=\frac{1}{4^3}=\frac{1}{64}[/tex]
and
[tex]2^{-6}=\frac{1}{2^6}=\frac{1}{64}[/tex]
The least common multiple of two numbers is 60, and one of the numbers is 7 less than the other number. What are the numbers? Complete the explanation. The two numbers are . 60 is a multiple of each of its factors. The factors with a difference of 7 are , and their LCM is 60.
Think About the Process The length of a rectangle is twice the width. The area of the rectangle is 9
square units. Notice that you can divide the rectangle into two squares with equal area. How can you
estimate the side length of each square? Estimate the length and width of the rectangle.
Answer:
The side length of each square is 2.12 units.
The length ad width of the rectangle are 2.12 and 4.24 units
Step-by-step explanation:
Let the width of the rectangle is x,
So, the length of the rectangle is 2x.
Area of the rectangle = 9 sq. units
[tex]9 = 2x \times x[/tex] [as area = length x width]
[tex]\Rightarrow 9 = 2x^2[/tex]
[tex]\Rightarrow x^2 = \frac{9}{2}=4.5[/tex]
[tex]\Rightarrow x = 1.5\sqrt{2}=2.12[/tex] units
So, width of the rectangle, x= 2.12 units and
the llengthof the rectangle, 2x= 2 x 2.12= 4.24 units.
After division of the rectangle into two equal square, so, the area of each square will be half of the area of the rectangle.
The area of the rectangle = 9/2=4.5 square units.
Let a be the length of the sides of the square, so
Area [tex]= a^2[/tex]
[tex]\Rightarrow a^2=4.5[/tex]
[tex]\Rightarrow[/tex] [tex]a = 1.5\sqrt{2}=2.121[/tex]
Hence, the side length of each square = 2.12 units.
how do u find slope?
Answer:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Step-by-step explanation: