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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.
A sphere has a surface area of 196 pi. What is the radius of the sphere?
r = 7
r = 14
r = 65.33
r = 12.12
In a cookie jar containing 6
6
chocolate
chip cookies, 8
8
wafer cookies and 10
10
double chocolate cookies, what is the
probability that a person who isn't looking
when they get a cookie will get a chocolate
chip cookie?
This is a pic of my question..
Answer:
The answer is c
Step-by-step explanation:
5x+3y=19
multiply x 2: 10x+6y=38
2x-4y=-8
multiply by -5: -10x+20y=40
now you can add the two equations:
10x+6y=38
-10x+20y=40
add equations 0x+26y=78
Y=3
hey guys i really need help rn bc i’m in a rush to get this done. i’m begging u if u could help me with this question an a few others i’ll mark brainiest. just pls help!
Answer:
9 1/2
Step-by-step explanation:
=2*3+3 1/2
=6+3+1/2
=9 1/2
A square sticky note has sides that are 7 centimeters long. What is the sticky note's area?
Answer:
side- 7
area of square - side x side
7 x 7 - 49² cm
square - all sides are the same length
area - length * width
7 * 7 = 49
49 cm^2Find the inverse of the function.
f (x) = (x - 5)3=
Answer:
i think its (x - 5)3 = (x) f
Step-by-step explanation:
Anyone know how to do this? If so PLZ HELP ASAP
Answer:
20
Step-by-step explanation:
Answer:
3626 i hope this is correct sorry if it is not
Step-by-step explanation:
Can someone please help me with this question?
Which of the following expressions are equivalent?
A) 2(x + 3) - 2
B) 2x + 4
C) 3(x + 3) - x - 5
Simplify A:
2(x+3)-2
Use distributive property:
2x+6-2
Combine like terms:
2x+4
This is the same as B.
A and B are equivalent.
A local company had revenues of $2,800 last year. They spent 1/4 of their revenues on marketing and 1/7 of the remaining money on upgrading their facilities. How much money did they have left after marketing and upgrading the facilities? Group of answer choices
Answer:
$1,800
Step-by-step explanation:
Given
Total revenue last year = $2,800
If they spent 1/4 of their revenues on marketing;
Amount spent on marketing = 1/4 * 2800
Amount spent on marketing = $700
Remaining money = 2800 - 700
Remaining money = $2100
If 1/7 of the remaining money is spent on upgrading their facilities, then;
Amount spent on upgrading facilities = 1/7 * 2100
Amount spent on upgrading facilities = $300
Total amount spent on marketing and facilities = $700 + $300
Total amount spent on marketing and facilities = $1000
Amount left = $2,800 - $1,000
Amount left = $1,800
mel randomly selects a coin 150 times of which she selects a dime 30 times
Answer:
Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.
hope this helps
have a good day :)
Step-by-step explanation:
12. The variable in the expression 9x + 63 is ? * A. =
B. 9
C. x
D. 36
Answer:
C. x is the variable
Step-by-step explanation:
easy...
Jennifer buys a desk on sale for $478.60. If the regular price was $684.00, what is the percentage of discount?
Answer:
30%
Step-by-step explanation:
Find the percent discount by dividing the change in the price by the original price:
(684 - 478.6) / 684
205.4 / 684
= 0.3
So, the percent discount was approximately 30%
area of triangle with
width= 18cm
breadth=14cm
height=11cm
Answer:
99
Step-by-step explanation:
i have all the steps in the comments of ur question
A fitness center charges $3 per visit plus a monthly fee of $30. How much would it cost in one month if Ella has 18 visits?
$48
$54
$84
$90
Answer:
84$
Step-by-step explanation:
It says it costs $3 per visit and Ella went 18 times
So we can describe that as x represents the times she has visited, x=18, so 3(18)
now we just add $30 dollars since she only went in one month and $30 is the fee per month so that would be (3*18=) 54+30
which would then give you $84 dollars!
hope it helps!!
Answer:
C.) $84
Step-by-step explanation:
Yo guys help pls.pls pls
Answer:
A rectangle is a parallelogram because parallelograms have to have exactly 2 pairs of parallel sides. A rectangle has 2 parallel sides, therefore it is considered a parallelogram.
Step-by-step explanation:
help me please
:)
i really need it
Answer:
3.5 qt or 3 qt and 2c
Step-by-step explanation:
4 cups makes 1 quart
14/4 = 3.5
Is this correct? Answer if you know the answer and correct me if I am wrong.
Answer: Is correct trust me.
Step-by-step explanation:
Solve these equations: tan^2x-3tanx+2=0
I literally do not understand this at all. PLEASE HELP ASAP
Mr. Crawford’s 4th-Period math class I ready question
Answer:
yes
Step-by-step explanation:
yes
If 24 apples represents 30% of her apple supply. How many total apples does Jasmine have?
Answer:
She has 80 apples in all.
Step-by-step explanation:
24=30%
(24÷3)=(30÷3)%
8=10%
(8×10)=(10×10)%
80=100%
ASAPPPP
18. The steps used to solve the equation 2x + 8 = 20 for x are shown below.
2x + 8 = 20
Step I: 2x = 12
Step II: x = 6
Which property makes Step I true?
A. Division property of equality
B. Reflexive property of equality
C. Subtraction property of equality
D. Symmetric property of equality
Answer:
C. Subtraction property of equality
Step-by-step explanation:
Dont answer this question if you dont know the answer
Answer:
C
Step-by-step explanation:
sin = 5/13
cos = 12/13
tan = 5/12
help needed asap will give brainliest
Answer:
the corect answer for this question is (-x,y)
Last week the team ran 21 1/2 miles total. this week the track coach had the team run 5 1/2 miles on monday and 4 3/4 miles on tuesday. the next three days the team averaged 6 miles a day
7)
A rectangular container is 40 cm by 30 cm by 25 cm. It is filled with
3
water up to 5
of its height. Half of the water is then poured out. How
much water is left in the container? Give your answer in litres.
Answer: 9 L
Step-by-step explanation:
Given
The dimension of the rectangular container is [tex]40\times 30\times 25\ cm^3[/tex]
It is filled with [tex]\frac{3}{5}[/tex] of the height
Water present in the container
[tex]\Rightarrow 40\times 30\times 25\times \dfrac{3}{5}\\\\\Rightarrow 18000\ cm^3[/tex]
Also, [tex]1\ L=1000\ cm^3[/tex]
[tex]\therefore 18,000\ cm^3=18\ L[/tex]
Now, half of the water is poured out
So, half is left
[tex]\Rightarrow \dfrac{18}{2}=9\ L[/tex]
Thus, 9 L of water is left in the container
Write the equation of the circle graphed below
Answer:
there isnt any image
Step-by-step explanation:
In the triangle below, with right angle
Find the degree measure of each angle in the triangle.
Answer:
90°, 62.8° and 27.2°
Step-by-step explanation:
180 = 5x + 133
47 = 5x
9.4= x
2 * 9.4 + 44 = 62.8°
3 * 9.4 - 1 = 27.2°
Representar las rectas a, b y c y determinar si son paralelas (o perpendiculares) dos a dos. A: y=−3x+5 | b: y =x/3+2 | c: y=−3x+1
Answer:
A y C: paralelas
B y A: perpendiculares
B y C: perpendiculares.
Step-by-step explanation:
Sea una recta:
f(x) = a*x + b
Donde a es la pendiente y b es la ordenada al origen.
Otra recta va a ser paralela a esta si tiene la misma pendiente, pero una diferente ordenada al origen, por ejemplo:
g(x) = a*x + c
Y una recta perpendicular a f(x) tendría una pendiente p = -(1/a)
Entonces podemos escribir la línea perpendicular a f(x) como:
h(x) = -(1/a)*x + c
Ahora veamos nuestras líneas:
A(x) = y = −3*x+5
B(x) = y = x/3+2 = (1/3)*x + 2
C(x) = y = -3*x + 1
Primero veamos cuáles son paralelas:
A(x) y C(x) tienen la misma pendiente (-3) y diferente ordenada al origen, entonces A y C son paralelas.
Sabiendo que la pendiente de A y C es -3, una línea perpendicular a esta tendría una pendiente:
-(1/-3) = 1/3
Que es justamente la pendiente que tiene la línea B, entonces podemos concluir que B es perpendicular a las líneas A y C.
A y C: paralelas
B y A: perpendiculares
B y C: perpendiculares.
Kelly's team won 85% of the games they played in a season. The team lost 12 games. How many games did Kelly's team win in the season?
Answer:
68 games
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Games won = 85%
Game lost = 12
Here, 100% - 85% = 12
15% = 12
or 1% = 0.8
So, total games played (100%) = 80 games
Now, number of games won = Total games - Games lost
= 80 - 12
= 68 games
Hence, Kelly's team wins 68 games in the season.
