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.
Your birthday was this week and you are heading to the mall to spend your birthday money! You are planning to
spend at least $150 but no more than $200. You are looking to buy some pairs of shoes (s) that cost $50 each.
How many video games you can buy with your birthday money?
Solution: You can buy between
and
pairs of shoes with your birthday money,
Answer:
how much do the video games cost
Step-by-step explanation:
Solve the equation: 3x − x − 5 = 2(x + 2) − 9 No solution, 1, All real numbers, 0
Answer:
I hope this helps
Step-by-step explanation:
Simplifying
3x + -1x + -5 = 2(x + 2) + -9
Reorder the terms:
-5 + 3x + -1x = 2(x + 2) + -9
Combine like terms: 3x + -1x = 2x
-5 + 2x = 2(x + 2) + -9
Reorder the terms:
-5 + 2x = 2(2 + x) + -9
-5 + 2x = (2 * 2 + x * 2) + -9
-5 + 2x = (4 + 2x) + -9
Reorder the terms:
-5 + 2x = 4 + -9 + 2x
Combine like terms: 4 + -9 = -5
-5 + 2x = -5 + 2x
Add '5' to each side of the equation.
-5 + 5 + 2x = -5 + 5 + 2x
Combine like terms: -5 + 5 = 0
0 + 2x = -5 + 5 + 2x
2x = -5 + 5 + 2x
Combine like terms: -5 + 5 = 0
2x = 0 + 2x
2x = 2x
Add '-2x' to each side of the equation.
2x + -2x = 2x + -2x
Combine like terms: 2x + -2x = 0
0 = 2x + -2x
Combine like terms: 2x + -2x = 0
0 = 0
Solving
0 = 0
Couldn't find a variable to solve for.
This equation is an identity, all real numbers are solutions.
Evaluate 2(x - 4) + 3x - x2 for x = 2.
O A. -6
O B. -2
O C. 6
O D. 2
Answer:
B. -2
Step-by-step explanation:
2(x - 4) + 3x - x2
2(2 - 4) + 3(2) - (2)2
2(-2) + 6 - 4
-4 + 6 - 4
-8 + 6
-2
solve the equation by graphing
2x^2+4x=70
Answer:
Step-by-step explanation:
Please give brainliest if this helped:)
Match each equation with its solution
Answer:
3/2×=6 is x equals 4
×/2=-4 equals -8
-5×=26. equals -5.2
× over -7.2 =-4 equals 28.8
What is the length of segment BC?
The length is 10 because this is a right triangle and based on the pythagorean theorem, the sum of the squares of the legs equals the square of the longest side.
6 squared plus 8 squared is 100, which is 10 squared.
The answer is 10.
Answer:
C. 10
Step-by-step explanation:
The Pythagorean Theorem states that a² + b² = c²
a² can be found by multiplying 6 by 6, which is 36
b² can be found by multiplying 8 by 8, which is 64
36 + 64 = 100.
The square root of 100 is 10, you can double-check this because 10 x 10 = 100
Because of this, we know that the line segment BC is equal to 10
I hope this helps :)
Bobby bought the following items at the school store: 10 pencils for $0.21 each, 8 pens for $0.45 each, and 2 posters for $0.55 each. How much money did Bobby spend in all?
Group of answer choices
$5.70
$1.21
$4.70
$6.80
Gary had a pizza party for his friend 14 people showed up,and they had 50 pieces of pizza. How many pieces of pizza did each person have
Answer:
3
Hope this helps
Answer:
3
Step-by-step explanation:
each friend would have 3 pizzas
Increasing 20 to 40 is the same as increasing 20 by
. So, it is a 100% increase. Decreasing 40 to 20 is the same as decreasing 40 by one-half of
. So, it is a 50% decrease.
Answer:
whats the question?
x + 3 = 10 , then the value of x is
Answer:
7
Step-by-step explanation:
Because 7+3= 10, Please tell me if my answer is wrong
Answer: 7
Explanation:
Because 7+3=10
2 multiplied by 7 1/3
Answer:
44/3
Step-by-step explanation:
2 * 22/3
44/3
Or, 14 2/3
what is the vertex of [tex]y=\frac{1}{2}(x+4)(x-2)[/tex]
what is the rule for the reflection?
Answer:
Rules for Reflections
Step-by-step explanation:
hope this helps :)
Is 2 - 91 positive or negative?
Answer:
Negitive
Step-by-step explanation:
2-91= -89
Answer:
negative
Step-by-step explanation:
Help me first one gets brainliest IF they’re right
Answer:
C
Step-by-step explanation:
You divided it, 752 by 3, and you will get 250.6 repeating! This is important to rember.
2-2+5+1-3*55+12-33*98
Answer:
-3054
hdjsfahjkdhfjkdsaf
Mrs. Clark purchased a box of pencils.
The purchase price was $1.80 for 12
pencils. How much did she pay for
each pencil?
Answer:
0.15 cents
Step-by-step explanation:
1.80 (price) divided by 12 (amount) = 0.15 cents per pencil
what is the slope and y-intercept of y=4x+2
Answer:
slope: 4
y-intercept: 2
Step-by-step explanation:
We are given an equation, y = 4x + 2, and we are asked to find the slope and y-intercept of the line. Looking carefully, we can see that the equation is given to us in slope-intercept form.
Slope-intercept form is:
y = mx + b
where m is the slope and b is the by-intercept.
Knowing this, we can find that 4 is the slope of the line and 2 is the y-intercept.
I hope you find my answer and explanation to be helpful. Happy studying.
Select the correct answer.
Which statement is true about the slope of the graphed line?
Answer:
A
Step-by-step explanation:
umm so for some reason I cant submit my answer unless theres 20 characters. :)
PLEASE HELP!
You invest $1000 in an account that has an annual interest rate of 4%, compounded monthly for 12 years. What is the equivalent interest rate and how many times will the money be compounded?
0.33% and 1 time
3% and 4 times
3% and 144 times
0.33% and 144 times
Answer:
The final balance is $1,612.23.
The total compound interest is $612.23.
Step-by-step explanation:
The required equivalent interest rate and money compounded is 0.33% and 144 times respectively. Option b is correct.
Equivalent interest rate for 4% and how many times the money will be compounded to be determine.
What is arithmetic?In mathematics it deals with numbers of operations according to the statements.
Here, the equivalent interest rate = 4%/12
= 1/3
= 0.33%
Now, number of times money compounded = 12 years
= 12 x 12 months
= 144
Thus, the required equivalent interest rate and money compounded is 0.33% and 144 times respectively.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
PLEASE HELP! I WILL MARK THE BRAINLIEST!
A coordinate plane with a line passing through (negative 3, 0), (0, negative 2) and (3, negative 4).
What is the equation of the graphed line written in standard form?
Answer:
2x+3y=-6
Step-by-step explanation:
Me fus wants to raise 4.700 for her school. She meets this goal by selling 800 jars of maple syrup. How much did she make in profit for 1 jar sold?? Explain the answer
Answer:
5.87
Step-by-step explanation:
4,700 divided by 800=5.875
what can u use to find the value of x?
What do I put in boxes explain
GIVING BRAINIEST
Answer: does, each input has two outputs
Step-by-step explanation:
Answer:
does represent a function because it intersects at more than one point, the relation is a function.
Step-by-step explanation:
You can tell whether a relation is a function by plotting the numbers on a graph and applying the vertical line test. If no vertical line passing through the graph intersects it at more than one point, the relation is a function.
Given the quadrilateral ABCD, what is the length of diagonal AC?
A 16/2
B 8/2
C 13
D 4/2
Square roots by the way
Answer: a
Step-by-step explanation:
5/8 z + (-2.5) = 2.5 worded
Answer:
Step-by-step explanation:
2.5 subtracted from (5/8)th of z gives 2.5
Math question! Need help! :D
Answer:
3
Step-by-step explanation:
-21/-7 = 3
negative times negative or negative divided by negative is always positive
Angle C and angle D are vertical angles with m angle C = -x + 26 and m angle D = 2x - 10.
What is m angle D?
The answer is m<D=14*
The expression 7(x + 3)- 3(2x-2) is equivalent to
Answer:
x+27
Step-by-step explanation:
7(x+3)-3(2x-2)=
(distribute)
7x+21-6x+6=
(combine like terms)
x+27
HELP!!!! :( I will give 5 stars!