Answer:
.
Step-by-step explanation:
hii please help asap ill give brainliest thanks
Answer:
Step-by-step explanation: its number 3
A game is played with the following rules. Three ordinary coins are flipped and count as a single "turn" in the game.
Each coin could land on heads or tails. After their turn a player is given a certain number of points depending on the
outcome.
•If the result is 3 heads, the player receives +4 points.
• If the result is 2 heads, the player receives +2 points.
• If the result is anything else, the player receives -1 point.
What is the expected value of the number of points a player will receive after a turn?
=======================================================
Explanation:
H = heads
T = tails
Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.
Those 8 outcomes are:
HHHHHTHTHHTTTHHTHTTTHTTTAgain the order matters.
------------
Now let's define the following events
A = event of getting three headsB = event of getting exactly two headsC = event of getting 1 head, or getting 0 headsThere's only one way to get three heads, and that's HHH. So P(A) = 1/8.
There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.
From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.
Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:
V(A) = 4V(B) = 2V(C) = -1From here, multiply the probability values with their corresponding net values
P(A)*V(A) = (1/8)*(4) = 0.5P(B)*V(B) = (3/8)*(2) = 0.75P(C)*V(C) = (1/2)*(-1) = -0.5Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75
Each time a turn happens, we expect on average to get 0.75 points
Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.
Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.
Geometry The length of a rectangle is represented by 2x + 3, and its
width is represented by 3x + 7. The perimeter of the rectangle is 35 units.
Find the value of x
Answer:
x = 1.5
Step-by-step explanation:
The perimeter of a rectangle is calculated by adding widht and height and multiply it by 2
The lenght is 2x + 3 and the width is 3x + 7
(2x + 3 + 3x + 7) *2 = 10x + 20 this is the perimeter which is given as 35 units
10x + 20 = 35 subtract 20 from both sides
10x = 15 divide both sides by 10
x = 1.5
f(x) = x ^ 4 - 6x ^ 3 + 8x ^ 2 - 21 ^ 2 the possible rational zeros
Answer:
Step-by-step explanation:
[tex]f(x)=x^4-6x^3+8x^2-21^2\\it~ is~ of ~degree~4\\so~it~has~4 ~zeros.\\now ~we~talk~about~zeros.\\we ~check ~the ~change~of~signs.\\f(x)= + - + -\\it~has~3~changes ~of~signs\\it~ has~ 1 ~or~ 3~ real~ roots.\\f(-x)=x^4+6x^3+8x^2-21^2\\f(-x)=+ + + -\\it~has~one~change~of~sign.\\so ~it~has~one~negative~real~root.\\[/tex]
we conclude that it has two or four real roots.
Victor bought a new soccer ball. The original price was $29.99, but the ball was on sale for 15%
off. What was the sale price?
Step-by-step explanation:
100-15=85%
85% × 29.99
=$25.49
This picture shows a rectangle with length (3D+2)cm and width (d+5)cm.
————
| |
| |
| |3d+2
| |
| |
————
D+5
A) write an expression for the perimeter of the rectangle
B) given that the perimeter is 30cm, make and solve and equation for d.
C) find the area of this rectangle
9514 1404 393
Answer:
A) P = 8d +14
B) d = 2
C) 56 cm^2
Step-by-step explanation:
A) The perimeter is the sum of all of the side lengths.
P = 2(L +W)
P = 2((3d +2) +(d +5)) = 2(4d +7)
P = 8d +14
__
B) Using 30 for P, we have ...
30 = 8d +14
16 = 8d . . . . . . . subtract 14
2 = d . . . . . . . . . divide by 8
__
C) The side lengths are ...
3d +2 = 3(2) +2 = 8 . . . . cm
d+5 = 2+5 = 7 . . . . cm
Then the area is ...
A = LW
A = (8 cm)(7 cm) = 56 cm^2
The area of the rectangle is 56 square centimeters.
EASY 15 POINTS!
what is the area?
shape below
358 in^2
94 in^2
168 in^2
242 in^2
Answer:
Area of rectangle= 24 × 7 = 168
Area of trapezium = ((a+b)/2)h = 74
Total area = 168 + 74 = 242
Answer:
242in^2
Step-by-step explanation:
Area of parallelogram is
1/2(a+b)×h
a=13in
b=24in
h=4in
= 1/2(13+24)×4
=1/2(37)×4
so the area of the parallelogram is
=74in^2
Area of rectangle is
L×B
L=24in
B=7in
=24×7
=168in^2
so the area will be the sum of the area of parallelogram and rectangle
=74in^2+ 168in^2
=242in^2
what is the equation of the line that passes through the points (4,3) and (6, 2)?
Answer:
y = -1/2 x + 5
Step-by-step explanation:
1) y = mx + b
2) m is the slope and b is the y-intercept
3) For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form: m = y2 - y1 / x2 - x1
4) Also, let's call the second point you gave, (6,2), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=6 and y2=2.
5) Now, just plug the numbers into the formula for m above, like this: m = -1/2
6) So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this: y = -1/2 x + b
7) To find b, think about what your (x,y) points mean:
(4,3). When x of the line is 4, y of the line must be 3.
(6,2). When x of the line is 6, y of the line must be 2.
8) You can use either (x,y) point you want..the answer will be the same:
(4,3). y=mx+b or 3=-1/2 × 4+b, or solving for b: b=3-(-1/2)(4). b=5.
(6,2). y=mx+b or 2=-1/2 × 6+b, or solving for b: b=2-(-1/2)(6). b=5.
9) So, this means that the equation of the line is y = -1/2 x + 5
what in the world does +1 represent??? thank you!
Answer:
the y intercept
so up 1 from (0,0)
A rectangular yard has a length of 12 meters and a width of 4 meters. Find its area.
Answer:
48m^2
Step-by-step explanation:
A=LxW=12x4=48
What is the arc measure, in degrees, of ADC on circle P below?
70°
104°
Answer:
The answer is "[tex]\overarc{ADC} = m\angle CPD + m\angle DPA = 186[/tex]"
Step-by-step explanation:
Please find the image of the question:
In the circle p:
[tex]\to m\angle APB + m\angle BPC + m\angle CPD + m\angle DPA = 360^{\circ} \\\\\to 70 + 104 + m\angle CPD + m\angle DPA = 360\\\\\to m\angle CPD + m\angle DPA = 360 - 70 - 104 = 186[/tex]
Let P is in the center
[tex]\to[/tex] arc AD= [tex]m\angle APD[/tex]
[tex]\to[/tex] arc DC = [tex]m\angle CPD[/tex]
[tex]\to[/tex] arc BC = [tex]m\angle BPC[/tex]
arc AB =
When D is on arc AC:
[tex]\to[/tex]arc ADC = arc AD + arc DC
[tex]\to[/tex]arc ADC = [tex]m \angle CPD + m\angle DPA = 186[/tex]
Find the circumference of a circle with a radius of 4.4 inches. Use 3.14 for pie. Round to the nearest tenth if necessary. Please provide steps. :) :D
Answer:
27.65
Step-by-step explanation:
C=πd=π·8.8≈27.64602
rounded to the nearest tenth would be 27.65
hoped this helped.
Question (point
Find the volume of the pure below leave in terms of IT for answers that contain T Round your answer to the nearest hundredthir
necessary
811
101
214.21 10
186,67
115.78
Od
560
Question 61 point)
Answer:
186.67 ft³
Step-by-step explanation:
Volume of a pyramid
= [tex]\frac{1}{3} [/tex] × base area × height
The volume of the pyramid
[tex] = \frac{1}{3} \times (8 \times 10) \times 7[/tex]
[tex] = \frac{1}{3} \times 80 \times 7[/tex]
[tex] = 186.666...[/tex]
= 186.67 ft³ (rounded to the nearest hundredth)
how is 1848/2310=4/5
Answer:
Step-by-step explanation:
1848 / 2310 == 4 / 5 = True
The actual distance between Kalamazoo and Ann Arbor is miles.
Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).
Answer:
Distance between Kalamazoo and Ann Arbor is 152 kilometers (94 miles).
1 hr 36 min (98.3 mi)
Step-by-step explanation:
What is the answer to 2x + 3y=18 5x - 3y=3? Hurry pls.
Answer: Solve for
[tex]y= \frac{5x}{3} -1\\or \\y=-\frac{2x}{3} +6\\[/tex]
Step-by-step explanation:
Solve for X.
Don’t have to show work
Answer:
I would say A cause I think that that is the closest answer
Step-by-step explanation:
I am so so so sorry if this is wrong I'm not that great at math myself.
What is the length y? Round to the nearest tenth.
Answer:
y = 5.3Step-by-step explanation:
It is assumed XYZ is a right triangle.
y/10 = sin 32°y = 10 sin 32°y = 5.3Im sorry to interrupt but I really need help
Answer:
if player wins by spining the greater number, spinner b should be chosen. However, if the game is won by spinning the lesser number , spinner a should be chosen.
Select the correct answer
Answer:
x = 95°
y = 147°
z = 128°
Step-by-step explanation:
z = 180 - 52 = 128°
x: first find the remaining angle in the big triangle, 180 - (45 + 50) = 85°
x = 180 - 85 = 95°
y: first find the remaining angle in the small triangle, 180 - (95 + 52) = 33°
y = 180 - 33 = 147°
A CD player that regularly sells for $79.00 is on sale at a 15% discount.
Find the sale price of the CD player. Show your work.
Answer:65.15
Step-by-step explanation:
Answer:
$67.15
Step-by-step explanation:
100% - 15% = 85%
original price = 79
85% of 79 = sale price
85/100 * 79 = sale price
67.15
Ross has 6 1/3 yards of material. He bought 2 1/6 more
yards. Then he used 6 5/6 yards. How many yards of material does he
have left?
Answer:
[tex]1\frac{2}{3}[/tex] yards
Step-by-step explanation:
Answer:
Ross has 1 [tex]\frac{2}{3}[/tex] yards of material left
Step-by-step explanation:
(6 [tex]\frac{1}{3}[/tex] + 2 [tex]\frac{1}{6}[/tex] ) - 6 [tex]\frac{5}{6}[/tex]
(6 [tex]\frac{2}{6}[/tex] + 2 [tex]\frac{1}{6}[/tex] ) - 6 [tex]\frac{5}{6}[/tex]
8 [tex]\frac{3}{6}[/tex] - 6 [tex]\frac{5}{6}[/tex]
7 [tex]\frac{9}{6}[/tex] - 6 [tex]\frac{5}{6}[/tex] = 1 [tex]\frac{4}{6}[/tex]
Simplify
1 [tex]\frac{2}{3}[/tex]
Find the least common denominator (LCD) of
Answer:
12
Step-by-step explanation:
I will give brainly for the correct answer Pls. Also 50 Points
(a) What is 0.36 as 36 repeating expressed as a fraction in simplest form?
(b) What is 0.36 as 6 repeating expressed as a fraction in simplest form?
(c) What is 0.36 expressed as a fraction in simplest form?
Answer:
Step-by-step explanation:
A.the fraction is technically 36/99, but simplified version is 4/11
X = 0.36363636......
100x = 36.363636.....
100x - x =36.363636 - 0.363636....
99x=36
X=36/99
= 4/11
0.36363636363 is the first repeating fraction and 36.36363636 is the second repeating fraction, because you multiply it by 100.
b.0.3666 ... = 11/ 30
Explanation:
x = 0.3666 . .
(1) 10 x = 3.666 ...
(2) 100 x = 36.666 ...
(2)-(1):
100 x − 10 x = 36.666 ... − 3.666 ...
90 x = 33
x = 33/ 90 = 11/ 30
c.9/25
0.36 in the simplest form as fraction is 9/25.
Hope it helps!!!
Which statement is true for the equation 4x - 4x - 5 = -5? (5 points)
1) It has no solution.
2) It has one solution.
3) It has two solutions.
4) It has infinitely many solutions.
Answer:
4)it has infinitely many solutions
A triangle has two 12centimeter sides
. What are the possible lengths of third side?
Answer:
Step-by-step explanation:
if the two sides are 12, the third will have to be shorter so it could be:
( 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 )
good luck!can you choose me brainliest? :D
when donald trump got fired, was he dog water on fountain?
Answer:
he was complete dog water box like a fish o earnings
Step-by-step explanation:
List the first three wholenumbers greater than 50 that will have a remainder of 7 when you divide by 9/ ?
Answer:
52, 61 and 70
Step-by-step explanation:
Given
[tex]Divisor = 9[/tex]
[tex]Remainder = 7[/tex]
Required
Determine first 3 possible dividends
The relationship between the [tex]dividend,\ divisor,\ quotient\ and\ remainder[/tex] is:
[tex]Dividend = Divisor * Quotient + Remainder[/tex]
Substitute: [tex]Divisor = 9[/tex] and [tex]Remainder = 7[/tex]
[tex]Dividend = 9* Quotient + 7[/tex]
Since the Dividends must be greater than 50, then the values of the quotient will be 5, 6 and 7
So, we have:
[tex]Dividend = 9* 5 + 7 = 45 + 7 = 52[/tex]
[tex]Dividend = 9* 6 + 7 = 54 + 7 = 61[/tex]
[tex]Dividend = 9* 7 + 7 = 63 + 7 = 70[/tex]
Hence, the three numbers are: 52, 61 and 70
Claudia invests £25000 at a rate of 2% per year compound interest.
Calculate the total amount of interest she will have earned after 5 years.
Give your answer correct to the nearest penny.
Answer:
27602.02
Step-by-step explanation:
Principal = £25,000
Rate of interest = 2% per year.
Number of years = 5 years
Formula,
=> £25000 * (1 + [tex]\frac{2}{100}[/tex] )^5
=> £25000 * 1.02^5
=> £25000 * 1.1040808
=> £27602.02
Therefore, the amount = £27602.02
Rounded to the nearest penny is £27602.02
Hope it helps :)
What is the measure of the base of the triangle? The base of the triangle b has a measure of inches.
Answer:
27
Step-by-step explanation:
Answer: 4
Step-by-step explanation: