Answer:
[tex] - \frac{4}{1} = - 4[/tex]
Corrupted by their power, the judges running the popular game show America’s Next Top Mathematician have been taking bribes from many of the contestants. During each of two episodes, a given contestant is either allowed to stay on the show or is kicked off. If the contestant has been bribing the judges, she will be allowed to stay with probability 1. If the contestant has not been bribing the judges, she will be allowed to stay with probability 1/3, independent of what happens in earlier episodes. Suppose that 1/4 of the contestants have been bribing the judges. The same contestants bribe the judges in both rounds. (a) If you pick a random contestant who was allowed to stay during the first episode, what is the probability that she was bribing the judges? (b) If you pick a random contestant, what is the probability that she is allowed to stay during both episodes? (c) If you pick a random contestant who was allowed to stay during the first episode, what is the probability that she ge
Answer:
(a) The probability that a contestant allowed to stay in the first episode is 0.5
(b) The probability that a contestant will be allowed to stay during both is 0.25
Step-by-step explanation:
The given parameters are;
The probability that a contestant who has been bribing the judges will be allowed to stay = 1
The probability that a contestant who has mot been bribing the judges will be allowed to stay = 1/3
The proportion of the contestant that has been bribing the judges = 1/4
The contestant who bribe the judges in the first round = The contestants who bribe the judges in the second round
(a) Let the total number of contestants = x
Therefore;
The number of contestants in the second round = x/4 + 1/3×(x - x/4) = x/2
Which gives that, half of the contestants make it to the second round
The probability that a contestant allowed to stay in the first episode, Pₐ₁, is given as follows;
Probability = (The number of required outcome)/(The number of possible outcome)
∴ Pₐ₁ = (x/4)/(x/2) = 2/4 = 1/2 = 0.5
The probability that a contestant allowed to stay in the first episode = 0.5
(b) The probability that a contestant will be allowed to stay during both episode, Pₐ₁₂ is given as follows;
The number of contestant that will be allowed to stay after each episode = 1/2×(The number contestant in the previous episode)
Therefore;
The number of contestant that will be allowed to stay after the first episode = 1/2 × x = x/2
The number of contestant that will be allowed to stay after the second episode = 1/2 × x/2 = x/4
Therefore, the number of contestant that will be allowed to stay after both episode = x/4
Pₐ₁₂ = (The number of contestant that will be allowed to stay after both episode)/(The total number of contestants)
∴ Pₐ₁₂ = (x/4)/x = 1/4 = 0.25
The probability that a contestant will be allowed to stay during both = 0.25.
“The total of eight times a number and five"
Answer:
8x + 40
Step-by-step explanation:
8(x+5)
8 times x = 8x
8 times 5 = 40
Answer:
8 x____=5 i got 0.625 as a decimal and 5/8 as a fraction, i dont even know if thats the answer u were looking for but ok, Hope this helps ;D
Step-by-step explanation:
Solve the proportion for n. 36/8 = n/4
Answer:
N = 18
Step-by-step explanation:
Answer:
18/4
Step-by-step explanation:
Plz help I’m on a deadline I will give Brain list !!!!!!!
Answer:
find it out
Step-by-step explanation:
Estimate. 5. 8% of 40
Z=3x+3 solve for x.
Z=2+3r solve for x.
Answer:
1. X= 1/3 z -1
2. X= 1/3z + -2/3
Step-by-step explanation:
z=3x+3
Step 1: Flip the equation.
3x+3=z
Step 2: Add -3 to both sides.
3x+3+−3=z+−3
3x=z−3
Step 3: Divide both sides by 3.
3x/3 = z-3/3
Step 1: Flip the equation.
3r+2=z
Step 2: Add -2 to both sides.
3r+2+−2=z+−2
3r=z−2
Step 3: Divide both sides by 3.
3r/ 3 = z-2/3
Help me pls. I do not understand this 25 points
Find the area of the following in the picture
Answer:there is no picture
Step-by-step explanation:
The length of a rectangle is 4 times its width. Write three different expressions to describe its perimeter. Explain how you wrote each expression.
Answer:
2(4x+x)
Step-by-step explanation:
Area of the circle. Leave your answer in terms of pi.
Answer:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679
Step-by-step explanation:
by google
If the movie theater seats 328 people, what is the maximum amount of money the theater can bring in during a show?
Answer:
328 multiplied by the ticket price.
Step-by-step explanation:
If you are to lazy to do the math by multiplying 328 by 12 (like me) you can use a calculator. BUT since you are reading this, here this is the answer.
Answer: 3936YOU'RE WELCOME
7
8 change the fractions to decimals. Round to the nearest thousandth
Mrs. Van and her family went bowling. The total cost of the shoes was $12 and the cost to bowl was $5 per game. Write an equation y, the cost of bowling and x the number of games they played.
y=5x+12
hope i could help!
Carmen ran one mile in 7 minutes. At this rate, how long will it take her to run 5 miles?
Answer:
35 minutes.
Step-by-step explanation:
Just multiply 7 minutes by 5 miles.
Answer:
It will take Carmen 35 minuets to run 5 miles.
Help me solve this problem please please
Answer:
to find the h value you have to use the equation B
Can someone just help me !
Answer:
[tex]\sqrt{a} 900[/tex] - 2
Step-by-step explanation:
I won't be answering using words.
1. (3a+2a)(6a²+1-3)
2. (5a)(6a²-2)
3. 6a² × 5a - 2 × 5a
4. 6a × 6a × 5a - 2 × 5a
5. 180a × 5a - 2
6. 900a - 2
7. [tex]\sqrt{a} 900[/tex] - 2
What is the product of 1 1/2 and -1 1/4
Answer:
-1 7/8 is the answer to this
Answer:
The answer for the question above is -1 7/8.
What is the slope of a line perpendicular to the line graphed below?
Answer:
-3
Step-by-step explanation:
Original slope: 1/3
Perpendicular slopes are the negative reciprocals of the original slope.
For what values of x is the equation true? (Form 1st!)
x^2-4x=32
Answer:
It can be solved in many forms
one by replacing each point to see which one satisfy the equation or by using quadratic formula
so the right answer is the fourth one
Whos better
Rod wave or polo G
And whats 12x12
Answer:
rod wave and 144 for sure
Step-by-step explanation:
rod wave is fat which means he is better
Answer:
12x12 is 144
Step-by-step explanatio
Need help?!!??!!!!!!!
Answer:
Step-by-step explanation:
m : n = 2 :1
A(1 , 3 ) ; x₁ = 1 & y₁ = 3
B(7, 8) ; x₂ = 7 & y₂ = 8
Required Point = [tex](\frac{mx_{2}+nx_{1}}{m+n},\frac{my_{2}+ny_{1}}{m+n})[/tex]
[tex]=(\frac{2*7+1*1}{2+1},\frac{2*8+1*3}{2+1})\\\\=(\frac{14+1}{3},\frac{16+3}{3})\\\\\\=(\frac{15}{3},\frac{19}{3})\\=(5,6.3)[/tex]
2x - y = -2
x + y=-4
what is 1/5 divided by 3/10
Answer:
2/3
Step-by-step explanation:
When we divide two fractions, such as 1/5 ÷ 3/10, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.
i wonder if this is a good thing
Answer:
its a good thing but the warnings u may get banned
A plant is already 53 centimeters tall, and it will grow 1 cm every month.
Let H be the plants height (in centimeters) after M months.
Write an equation relating H to M. Then use this equation to find the plant height after 26 months.
Equation: h = 53 + 1m
Solving for m = 26: h = 79
The plant will be 79cm tall after 26 months
The height of the plant, H, is related to the number of months, M, by the equation H = M + 53. The plant will be 79 centimeters tall after 26 months.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The height of the plant, H, is related to the number of months, M, by the equation H = M + 53.
This equation represents the plant's initial height of 53 centimeters plus the additional height it will grow each month.
To find the plant's height after 26 months, we can substitute M = 26 into the equation:
H = M + 53
H = 26 + 53
H = 79 cm
So, the plant will be 79 centimeters tall after 26 months.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ2
Find the slope of the line
y = –3/8x − 6/5
Answer:
-3/8
Step-by-step explanation:
This equation is formatted as y=mx+b where m is the slope of the line, x is the x value, and b is the y-intercept. When finding the slope of such an equation, just find what the coefficient of x in the function is. So, this equation is y = -3/8x - 6/5 and m is -3/8, so your slope is -3/8. Hope that helps!
Stephen, Gavin and Jim share some sweets in the ratio 3:1:2. Stephen gets 24 sweets. How many sweets are there altogether?
Answer:
Step-by-step explanation:
Stephen : Gavin : Jim
3 : 1 : 2
We can say that this means the total amount of sweets get split between the 3 of them into 6 equal parts ( 3 + 1 + 2).
If Stephen gets 24 sweets, this means
3 parts = 24
So to find 1 part, divide 24 by 3.
1 part = 8 sweets
Now we can find the total by multiplying this by 6.
6 parts = 8 x 6 = 48 sweets.
1.) A ladder is leaning against the side so that the distance on the ground between
the base and the house is 7 feet.
If the ladder is 15 feet long, then what is the angle at which the ladder is leaning?
Answer:
62.182°
Step-by-step explanation:
Using cos and sin you are able to find the height of the ladder from the bottom of the house to the place the top of the ladder is. You can do this by making a triangle. By using the lengths and angles already present you are able to find all angles of the triangle.
The angle at which the ladder is leaning is 62.18°.
What is trigonometry?Trigonometry is the branch of mathematics that deals with calculating the angles of triangles or the lengths of their sides. It mainly concerned on the properties of right angled triangle.
For the given situation,
The length of the ladder = 15 feet
The distance between the house and the ladder base = 7 feet
The angle at which the ladder is leaning can be found by using trigonometric ratio, cos θ.
we know that, [tex]cos[/tex] θ = [tex]\frac{Base}{Hypotenuse}[/tex]
The figure below shows the relationship between the sides.
⇒ [tex]cos[/tex] θ = [tex]\frac{7}{15}[/tex]
⇒ θ = [tex]cos^{-1}(\frac{7}{15} )[/tex]
⇒ θ = [tex]62.18[/tex]
Hence we can conclude that the angle at which the ladder is leaning is 62.18°.
Learn more about trigonometry here
https://brainly.com/question/24174128
#SPJ2
What number goes in the box to show the
distributive property?
3(2 + 8) = 3 x 2 + X 8
6
2
B
8
Answer:
3 because 3 x 2 + 3 x 8 = 30 and 3(2+8)=30
2
The figure shows how the yard lines on a football field are numbered. The goal lines
are labeled G. A referee was standing on a certain yard line as the first quarter ended.
3
He walked 41 yards to a yard line with the same number as the one he had just left.
4
How far was the referee from the nearest goal line? Express your answer as a
simplified mixed number.
9514 1404 393
Answer:
29 1/8 yards
Step-by-step explanation:
If the ref is distance 'd' from the goal line, after walking 41 3/4 yards to the same yard line at the other end of the field, he will also be at distance d from that goal line.
Hence the total ...
d + 41 3/4 + d
will be the length of the field between goal lines, 100 yards.
2d +41 3/4 = 100
2d = 58 1/4 . . . . . . subtract 41 3/4
d = 29 1/8 . . . . . . . divide by 2
The referee was 29 1/8 yards from the nearest goal line.
Answer:
29 1/8
Step-by-step explanation:
YOU WILL DO YOU GOOD LUCK
During a snowstorm, Eva tracked the amount on the ground. When the storm being, there was no snow on the ground. Snow feel at a constant rate of 3 inches per hour until 6 inches had fallen. The storm then stopped for 5 hours and then started again at a constant rate of 2 inches per hour for the next 2 hours. As soon as the storm stopped again the sun came out and melted the snow for the next 2 hours at a constant rate of 4 inches per hours
Answer:
2 inches of snow was left on the ground
Step-by-step explanation:
To calculate the amount of snow on the ground we can take it one step at a time. Since there was no snow on the ground we can start at a level of 0. Then it snowed until 6 inches of snow had fallen, so we can add that to our total.
0 + 6 = 6 inches
Next, it snowed for 2 more hours at a rate of 2 inches per hour, meaning we multiply this by 2 hours and add to the total amount of snow that was already on the ground.
(2*2) + 6 = 10 inches
Lastly, the sun came out and melted the snow on the ground for 2 hours at a rate of 4 inches per hour. Since it is melting the snow, this means that it is subtracting the snow from the total. So we would have to multiply the rate (4 inches per hour) by the number of hours and then subtract that from the amount of snow on the ground.
10 - (4*2) = 2 inches