You spin each spinner once. You get $39 if you spin a 2 and a vowel. You get $26 if you spin a 2 and a consonant. You get $9 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game? Round your answer to the second decimal if necessary
The expected value of the game is the mean value of the game
The expected value of the game is $9
For the first spinner;
The probability to spin 2 is 1/4The probability to spin 1 is 3/4For the second spinner;
The probability to spin a vowel is 1/4The probability to spin a consonant is 3/4So, the probability of spinning a 2 and a vowel is:
[tex]\mathbf{P(2\ and\ vowel) = \frac 14 \times \frac 14 = \frac{1}{16}}[/tex]
The earning for spinning a 2 and a vowel is $39.
So, the expected earning is:
[tex]\mathbf{Expected = 39 \times \frac{1}{16} = 2.4375}[/tex]
So, the probability of spinning a 2 and a consonant is:
[tex]\mathbf{P(2\ and\ consonant) = \frac 14 \times \frac 34 = \frac{3}{16}}[/tex]
The earning for spinning a 2 and a consonant is $26.
So, the expected earning is:
[tex]\mathbf{Expected = 26 \times \frac{3}{16} = 4.875}[/tex]
So, the probability of spinning a 1 and a vowel is:
[tex]\mathbf{P(1\ and\ vowel) = \frac 34 \times \frac 14 = \frac{3}{16}}[/tex]
The earning for spinning a 1 and a vowel is $9.
So, the expected earning is:
[tex]\mathbf{Expected = 9 \times \frac{3}{16} = 1.6875}[/tex]
So, the expected value of the game is:
[tex]\mathbf{Game =2.4375+ 4.875 + 1.6875}[/tex]
[tex]\mathbf{Game =9}[/tex]
Hence, the expected value of the game is $9
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Plane B is flying 55mph
55
mph
faster than Plane A and can fly 4275
4275
miles in the same amount of time it takes Plane A to fly 4000
4000
miles. Find the amount of time it takes for each plane to travel their respective distances.
Answer:
It takes around 5s for each plane to travel their respective distances.
Step-by-step explanation:
If f (g(x)) = Square root x+8, identify the inside function g(x) and the outside function f(x) of the composite function.
Answer:
Given composite function:
f(g(x)) = √(x + 8)Possible functions that compose it:
g(x) = x + 8and
f(x) = √xDuring the summer, many homeowners struggle to keep ant's out of their homes. In a specific
kitchen, the population of a colony of ants is given by
P(t) = 42(1.168)
where P(t) is the populationand t is the number of days after June 1st.
(a)What is the daily growth rate of this ant population?
Write your answer as a percent rounded to two decimal places.
(b)What is the continuous growth rate of this ant population?
Write your answer as a percent rounded to two decimal places.
(c)When will the population reach 500 ants? Use an algebraic solving process to show
that it will take 15.95 days to reach 500 ants.
hiiiiiiiiiiiiiiiiiiiiiiiii
¿De qué número es 60 el 80%?
Answer:
48
Step-by-step explanation:
please help me with this
Answer:
14 Is a divident of 7 and 14
A triangle has vertices (1,4),(1,1),and (-3,1). The triangle is dilated by a scale factor of two, then translated five units up, and then rotated 90° counterclockwise about the origin. What are the first roles of the image of the triangle?
The first roles of the image of the triangle are (-13, 2), (-7, 2), and (-7, -6).
Given the coordinates of the vertices (1,4),(1,1), and (-3,1), if the coordinate is dilated by a factor of 2, the resulting coordinates will be gotten by multiplying each coordinate by "2" to have (2, 8),(2,2), and (-6,2).
If it is translated five units up, the resulting coordinate will be gotten by adding 5 to the y-coordinates to have (2, 13),(2, 7), and (-6,7).
If the resulting coordinate is then rotated 90° counterclockwise about the origin, the final position of the vertices will be at (-13, 2), (-7, 2), and (-7, -6).
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joey enter a hot dog eating competition. He ate 30 1/2 hot dogs in 3/4 minutes. How many hot dogs did he eat in one min.
8 and 2/15
TTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTTT
2 paisa per 2 rupees per month
Answer:
2 paisa per rupees per month
So rate= 2%
Please view the image above for the question ^^
Answer:
2
Step-by-step explanation:
After reflecting ABC over the y-axis and translating that image down, ABC will map onto DEF.
Answer:
(2)
Step-by-step explanation:
If you reflect ABC across the y axis it would look like DEF but above the x axis; translate it down and you get DEF.
ANSWER USING STEPS: y=2/3x-5
A man is walking at 7km/hr. How long will he take to cover a distance of 42km?
[tex] \: \: \: \: \: \: [/tex]
1.75hrsStep-by-step explanation:
it would take 1.75 hrs to cover a distance of 7 kilometres by walking 4 kilometres per hourspeed= Distance/Time
= 4/1 = 4Time Distance/Speed
= 7/4 =1.75hrs.hope it helps[tex] \: \: \: \: \: \: [/tex]
Judy purchased a carpet for $ 233.95 and a table set for $199.08. She received a 25% discount but had to pay 8% sale tax. What is the total price?
Answer:
$350.75
Step-by-step explanation:
A world-famous prix fixe menu includes the following choices.
Beverage (choose one): wine, soft drink, coffee, tea, milk, juice, or cappuccino
First course (no choice): baguette, bruschetta, whole roasted garlic, and butter
Second course (choose one): quesadilla, onion soup, salad, Caesar salad, lettuce wedge, spinach salad, or romaine salad
Third course (choose one): rib eye steak, swordfish, rack of lamb, whitefish, grilled chicken, southern fried chicken, lobster, or vegetarian plate
if you choose steak, then choose one of the following: fries, mashed potatoes, creamed corn, spinach, broccoli, or grilled onions
Fourth course (choose one): chocolate cake, cinnamon tart, apple tart, pecan tart, creme brulee, mango sorbet, or chocolate tart
How many different choices are possible?
Using the fundamental counting theorem, it is found that 107,016 different choices are possible.
Fundamental counting theorem:
States that if there are n things, each with [tex]n_1, n_2, …, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the beverage, there are 7 options, hence [tex]n_1 = 7[/tex]For the first course, there are no choice, hence an arrangement of 4 options, that is, [tex]n_2 = 4! = 24[/tex]For the second course, there are 7 options, hence [tex]n_3 = 7[/tex]For the third course, there are 7 non-steak options, plus 6 steak options, hence [tex]n_4 = 13[/tex]For the fourth course, there are 7 choices, hence [tex]n_4 = 7[/tex]Then, applying the theorem:
[tex]N = 7(24)(7)(13)(7) = 107016 [/tex]
107,016 different choices are possible.
A similar problem is given at https://brainly.com/question/19022577
Three friends each create 4 bags of starter bread dough. After ten
days, each of those four bags is then divided into four more bags of
dough. How many days pass before 192 of dough are created?
1.20
2.40
3.30
Answer:
20
Step-by-step explanation:
4x3=12
12x4=48 after 10
48x4=192 after another 10
what is 5/8 divided 6
[tex]\sf \longmapsto \frac{5}{8} \div6[/tex]
[tex]\sf \longmapsto \frac{5}{8} \times \frac{1}{6} [/tex]
[tex]\sf \longmapsto \frac{5 \times 1}{8 \times 6} [/tex]
[tex]\sf \longmapsto \frac{5}{48} [/tex]
Answer In DECIMAL:
[tex]\sf \longmapsto0.1041[/tex]
A furniture store receive
order for 456 chairs. They
can fit 9 chairs in a large
shipping box. How many
shipping boxes will they
need to ship all of the
chairs?
Help me answer 5d, thank you!
Answer:
5. is III. Since there is a vertical asymptote at x= -3 and hole at x=0
2 2/3, 2 6/15, 2 3/5, 2 4/9 sorted from least to greatest
Answer:
2 6/15, 2 4/9, 2 3/5, 2 2/3.
Answer:
2 6/15, 2 4/9, 2 3/5, 2 2/3
Step-by-step explanation:
2 6/15 = 2 2/5
8/3, 12/5, 13/5, 22/9
120/45, 108/45, 117/45, 110/45
Determine the correct equation for the following verbal sentence:
The ticket price, t, for a concert attended by 220 people equals the total revenue, r, divided by the number of people who attended.
a.
t = StartFraction r Over 220 EndFraction
c.
t = 220r
b.
t = 220 - r
d.
t = 220 + r
Answer:
t =
Given:
The total ticket price =t
Total number of people attended the concert = 350
Total revenue = r
To Find:
The expression for finding the t value
Solution:
The ticket price t =
Substituting the total number of people who attended the concert
t =
Step-by-step explanation:
Hope this helps:)
What does the Safe Place sign indicate?
Safe Place logo
This is a place where pets can be brought in a crisis
This is a place where adults can go in a crisis
This is a place where kids can go in a crisis
This is a place where members can go in a crisis
Answer:
This a place where kids can go
Step-by-step explanation:
in crisis
Answer:
This is a place kids can play
Step-by-step explanation:
In crisis
whats the answers can anyone answer this question please
Answer:
1. B
2. A
Step-by-step explanation:
1.
10^{-2} means that you move the decimal back two times
B is the only option that represents that correctly.
2.
5 * 10^{4} = 50000
2.5 * 10^{2} = 250
50000/250 = 200
Out of the options, A is the only option in which the equation also equals 200.
how do you solve this problem lol
Graph the number on the number line.
Answer:
Step-by-step explanation:
can u take good picture
la quinta parte de 20
Answer:
4
Step-by-step explanation:
20/5 = 4
A parking area that is to be resurfaced is shaped like a trapezoid. The bases are 90 feet and 100
feet, and the height is 30 feet. What is the cost if the price of the resurfacing is $1.10 per square
foot? Answer in a whole dollar amount, without the dollar sign.
Based on the dimensions of the parking area, we know that the cost of resurfacing will be $3,135.
First find the area of the parking area:
Area of trapezoid = (Base ₁ + Base₂) / 2 x Height
= (90 + 100) / 2 x 30
= 2,850 feet²
The cost of resurfacing is:
= Area x cost per square foot
= 2,850 x 1.10
= $3,135
It will cost $3,135 to resurface the place.
Find out more at https://brainly.com/question/12451654.
represent each solution on a number line 3
I don't know how to represent it on a nomberline
I
There are 16 girls and 14 boys in Mr. Chay's class. This ratio holds true for the entire school. If there are 1500 students, how many girls attend the school?
Answer:
Step-by-step explanation:
16/(16 + 14) = XX/1500
1500(16) = 30XX
XX = 800 girls
answer:TThe ratio of boys to girls is 12 to 16, 12:16 or 12/16 (all different ways this can be written). The fraction form 12/16 can be reduced by dividing
If your financial goal is to save at least $40000 in 10 years What would be the least amount of money to save each month
Answer:
$334 to the nearest dollar.
Step-by-step explanation:
If you just stuff it under the bed that would be
40000/ 120 (as there are 120 months in 10 years)
= $334.333...
Kim, Jenny, and Wendy are basketball players. Each plays a different position (guard, forward, and center) and wears a different number (30, 32, and 35). Kim and number 30 are too small to play center. Number 35 in the center. Neither Kim nor Wendy is the forward. Who plays guard, and what uniform number does she wear? Be sure to check both answers. A.30 B.Wendy C.Jenny D.Kim E.35 F.32
Answer:its f
Step-by-step explanation:
the only answer left i hope this helps =)