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.
Morgan is in the business of manufacturing phones. She pays a cost of $200 per phone produced for materials and labor and also must pay a daily fixed cost of $400 to rent the building and equipment. Make a table of values and then write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.
A linear equation is an algebraic equation of the form [tex]y=mx+b[/tex]. , where m is the slope and b is the y-intercept.
Total cost represented by equation, [tex]C=200x+400[/tex]
Let number of phones is represented by x .
Since, She pays a cost of $200 per phone produced for materials and labor
For x phones, she will pay = 200x
Since, she also pays daily fixed cost of $400 to rent the building and equipment
Therefore, total cost is represented by equation shown below,
[tex]C=200x+400[/tex]
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Which expression uses the associative property to make it
easier to evaluate 6(1/3•7/5)?
A. (6•5/7)1/3
B. (6•1/3)7/5
C.6(7/5•1/3)
D.3(1/6•7/5)
Answer:b
Step-by-step explanation:
The associative property for the expression is (6 • 1/3)7/5.
What are the Properties of Multiplication?Certain rules that are used while multiplying numbers are known as the characteristics of multiplication. All types of mathematical expressions, whether they be algebraic expressions, fractions, or integers, can be solved thanks to these features, which make it simple to simplify expressions.
Given expression 6(1/3 • 7/5),
to write its associative property
The Associative Property of Multiplication states that altering the way the numbers are grouped has no impact on the result of the multiplication.
a(b . c) = (a . b)c
6(1/3 • 7/5) = (6 • 1/3)7/5
Hence correct expression for the property is option B, (6 • 1/3)7/5.
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Cathy buys 7 ounces of dried cherries in bulk. If dried
cherries cost $0.41 per ounce, how much will she pay?
$2.87
B $0.28
C $2.15
D $3.07

Answer:
A. $2.87
Step-by-step explanation:
if there are 8 boys and 48 girls in a room, fill out all of the possible ratios of boys to girls that could be made?
Answer:
1:6
Step-by-step explanation:
8:48 the ratio
48/8 = 6 First you divide in this case both sides can be divided by 8, giving the answer in the most simplest form.
Gavin doubles it then adds 15 to get the answer 44.2 what was the original number
Answer:
14.6
Step-by-step explanation:
44.2 - 15 = 29.2
29.2 / 2 = 14.6
Answer:
14.6
Step-by-step explanation:
If you take 44.2 and subtract 15, you get 29.2. You would then just divide 29.2 by 2 to get the original number. You're literally doing the equation backward.
The amount of money an employee earns is proportional to the number of hours worked. If the employee works 40 hours and earns $1,100, how much does the employee earn per hour?
Answer: $27.5
Step-by-step explanation:
From the question, we are informed that employee works 40 hours and earns $1,100, to calculate the amount that the employee earn per hour will be:
Amount earned = $1100
Number of hours worked = 40 hours
Amount earned per hour = $1100/40 = $27.5
The probability that a randomly-selected person at a show has seen the band play live before is 50%. A "superfan" is defined as someone who has seen the band play live at least 5 times. The probability that a person at a show is a "superfan" is 30%. Two people are selected at random. What is the probability that both people have both seen the band perform live before, and are "superfans?"
Answer:
0.25 and 0.09
Step-by-step explanation:
The probability that a randomly-selected person at a show has seen the band play live before is 50%=0.50
The probability that a person at a show is a "superfan" is 30%=0.30
Two people are selected at random.
The probability that both people have both seen the band perform live before
= The probability that the first person has seen the band live before and the second person also has seen the band live before.
=0.50 x 0.50
=0.25
Similarly, the probability that both are "superfans"
=The probability that the first person is a superfan and the probability that the second person is a superfan.
=0.30 x 0.30
=0.09
Hence, the probability that both people have both seen the band perform live before, and are "superfans" are 0.25 and 0.09 respectively.
In which situation do the quantities combine to make 0?
A-Juan spent $20. The next day, he earned $10 per hour for 2 1/2 hours
of babysitting
B- Erica deposited $75 into her savings account. She withdrew $75 the
following week.
C-The predicted high temperature for a winter day is 7°C and the predicted low temperature is -7°C.
D- A deep-sea diver descends 15 meters, pauses, and then descends another
15 meters.
Answer:
B- Erica deposited $75 into her savings account. She withdrew $75 the
following week.
Step-by-step explanation:
What is −15÷3/5?
-25
-9
-1/9
-1/25
Answer:
-25
Step-by-step explanation:
i took the test
Four students are determining the probability of flipping a coin and it landing head's up. Each flips a coin the number of times shown in the table below.
Student
Number of Flips
Ana
50
Brady
10
Collin
80
Deshawn
20
Which student is most likely to find that the actual number of times his or her coin lands heads up most closely matches the predicted number of heads-up landings?
Answer:
Collin with 80
Step-by-step explanation:
Because he has the most flips, therefor he can most closely predict the number of heads up landings
Answer:
The correct answer is C.
Step-by-step explanation:
Collin is most likely to find that the actual number of times his coin lands heads up most closely matches the predicted number of heads-up landings.
Hopefully, this helps! :D
Ask your question below!
All of the following expressions are equivalent except _____.
x + (-2)
-2 + x
x - 2
2 - x
Is each pair of equations equivalent? explain.
4y+2x=-7
2y-6x=8
What is the slope of a line perpendicular to the line whose equation is
3x – 12y = 216. Fully reduce your answer.
=
Answer:
Step-by-step explanation:
-4
which of the lines below is parallel to y = 5x + 7 ?
Any line with a slope of 5 is parallel, because parallel lines have the same slope.
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
y = -5x + 6
y = 3x – 2
X=
y =
Answer:
(1,1) X=1 Y=1
Step-by-step explanation:
x = 1
y = 1
adding characters for no reason lo
39.99+0.45x=44.99+0.4x
Answer:
x=100
Step-by-step explanation:
39.99+0.45x=44.99+0.4x
0.45x=5+0.4x
0.05x=5
x=100
Write an equation that represents the scenario: Taylor’s Tow Truck charges $30 to pick up the car and then an additional 2.50 per mile driven to tow your car.
Answer:
30+2.50m=t
Step-by-step explanation:
where m represents the amount of miles driven and t represents the total of money owed
can i get brainliest please?
Answer:
joker is not see the following questions and the answers will come up on your site
3/4x + 2/5 = 4x - 1/4x
Answer:
4/45 = x
Step-by-step explanation:
Strongly suggest that you enclose the fractional coefficients inside parentheses to reduce possible ambiguity:
(3/4)x + 2/5 = 4x - (1/4)x
Consolidate the x terms on the right side and leave the 2/5 on the left:
2/5 = (4 - 1/4 + 3/4)x, or
2/5 = (4 1/2)x or 2/5 = (9/2)x
Solving for x: Multiply both sides by (2/9):
(2/9)(2/5) = (2/9)(9/2)x, or:
4/45 = x
Note: please include ALL instructions.
9) There are six girls and 12 boys in Ms. Jeffry's environmental club. She wants to divide the students into groups with the same number of boys and the same number of girls in each group. What is the maximum number of groups she can make? *
No . of girls in Ms. Jeffry's environmental club = 6
No . of boys in Ms. Jeffry's environmental club = 12
To find the maximum number of groups she can make , we have to find the highest common factor ( HCF ) of the number of boys and girls in her club .
Factors of 6 = 1 , 2 , 3 and 6
Factors of 12 = 2 , 3 , 4 , 6 and 12
Hence the highest common factor of 6 and 12 are 6 .
Therefore , the maximum number of groups Ms . Jeffry can make where the number of girls and boys are same are 6 .
The Rodriguez family spends 18% of their monthly income on going out to eat. What is the equivalent fraction of the family’s budget that is spent going out to eat?
Answer:
9/50
Step-by-step explanation:
yo please help i have no idea how to do this(the first 2 questions the tecaher did)
Answer:
Step-by-step explanation:
You'll need to learn the formula for the circumference of a circle. If the radius is r, the circumference C is C = 2πr. It appears that your teacher is using pi for the exact circumference and 3.14 for the approximate circumference.
The radius of the first circle is 5 in. Thus, the exact circumference is
C = 2πr = 2π(5 in) = 10π in, and the approximate circumference is
C = 2(3.14)(5 in) = 31.4 in
simplify: log64+2log5-2log40
Answer: 0
Step-by-step explanation:
Use rules of logarithms to condense.
If angle J and angle K are vertical angles, J and K are congruent.
Answer:
Yes they are congruent
Step-by-step explanation:
Hope this helps!!!!!!!
please hellp me and give me a real answer! I MARK BRAINLEST
Answer:
The answer is
X+150 >_ 1000
what is the length of a cube with 27 ft
Answer:
3
Step-by-step explanation:
27=3^3
=3*3*3
27=27
i think it is clear &i hope it helps you
How many gallons equal 8 quarts?
2 gallons
4 gallons
12 gallons
32 gallon
its 2 gallons
4 would be 16
12 would be 48
32 would be 128
The domain of this function is {-2, 3). What is the minimum value in
the range of this function?
f(x) = -2x + 5
A: {-1}
B: {9}
C: {11}
D: {-11}
At 5:30 a.m., a thermometer indicates the temperature is 15 degrees below zero Celsius, -15"C. At 11:00 am., a thermometer indicates the temperature is 3 degrees above zero Celsius, 3'C. What integer represents a temperature of 2 degrees below zero Celsius?
passes through (-6,-1) and is parallel to y=-2/3x+1
What are the next two numbers in the sequence?
4, 16, 64, 256,
Answer:
1024.
Step-by-step explanation:
You just multiply by 4