Answers
Answer:
0.4
Step-by-step explanation:
That is the answer.......
===================================================
Explanation:
Define the two events as such
A = event of chosen to be in the play
B = event of getting the lead role
The probability of getting chosen in the play is 0.5, so P(A) = 0.5
Because getting a lead role means you must have been selected for the play, this means that event B depends entirely on event A. We can say
P(A and B) = 0.2
which is the same as P(B and A)
Therefore the conditional probability is
P(B given A) = P(B and A)/P(A)
P(B given A) = 0.2/0.5
P(B given A) = 2/5
P(B given A) = 0.4
You can replace each "given" with a vertical line to write P(B | A) instead of "P(B given A)". I used "given" because the vertical line could be easily mistaken for an uppercase letter i or a lowercase letter L.
Related Questions
A transversal intersects two lines and forms a pair of same side interior angles that measure 36° and 4 times that measure. Prove that the lines are parallel. Please answer now I need it desperately. thx.
Answers
Answer:
The addition of the same side interior angles is equal to 180°
Step-by-step explanation:
If the addition of the same side interior angles is equal to 180°, then the lines are parallel. One angle measure 36°, the other angle measures 4*36° = 144°. The addition gives 36° + 144° = 180°.
See picture attached; given that m║n then ∠1 ≅ ∠4 and ∠2 ≅ ∠3. Also, ∠1 + ∠3 = ∠2 + ∠4 = 180°; combining, we get ∠1 + ∠2 = 180°, where ∠1 and ∠2 are same side interior angles. This conclusion was gotten because we knew that m and n were parallel.
x + y + 5) and (2x – 2y – 3)
Answers
Step-by-step explanation:
Since your question is incomplete, I have given you two different options based on your incomplete question.
Hope you understand this.
HAVE A GOOD DAY!
Sort each equation according to wnether it has one solution, infinitely many solutions, or no solution
5(x - 2) = 5x - 7
One Solution
Infinitely Many Solutions
No Solution
4x - 2) = 3x - 4
6x+5) = 6x +11
Answers
Step-by-step explanation:
[tex]5(x - 2) = 5x - 7 \\ 5x - 10 = 5x - 7 \\ 0 = 3[/tex]no solutions
[tex]4x - 2 = 3x - 4 \\ x = - 2[/tex]one solution[tex]6x + 5 = 6x + 11 \\ 5 = 11[/tex]
no solutions
Arrange in ascending order 1/4, 1/3, 1/18, 2/19.
Answers
2/19, 1/18, 1/4, 1/3
sorry about that.
Answer:
Ascending order is 2/19,1/18,1/4,1/4
Step-by-step explanation:
I hope this will help you:)
y = 16-x^2
Find the value of k
Answers
Answer:
k = - 4
Step-by-step explanation:
Given
y = 16 - x²
The point (k, 0 ) is a zero. To find the zero let y = 0, that is
16 - x² = 0 ( add x² to both sides )
16 = x² ( take the square root of both sides )
x = ± [tex]\sqrt{16}[/tex] = ± 4
The zeros are x = - 4 and x = 4
Since (k, 0 ) is to the left of the origin, then k = - 4
What is the value of m in the equation
zm = 16, when n = 8?
Answers
Step-by-step explanation:
nm=16
m=16/n
m=16/8
m=2
find the distance between the points (-2,6) and (-1,-3)
Answers
Answer:
[tex]\sqrt{82}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (- 2, 6) and (x₂, y₂ ) = (- 1, - 3)
d = [tex]\sqrt{(-1+2)^2+(-3-6)^2}[/tex]
= [tex]\sqrt{1^2+(-9)^2}[/tex]
= [tex]\sqrt{1+81}[/tex]
= [tex]\sqrt{82}[/tex] ≈ 9.06 ( to 2 dec. places )
Answer:
9.06
Step-by-step explanation:
(-2,6) and (-1,-3)
Distance =√(x2−x1)^2+(y2−y1)^2
√(−1−(−2))^2+(−3−6)^2
√(1)^2+(−3−6)^2
√(1)^2+(−9)^2
√1+81=
√82 ≈9.055385138137417
Bridget drives at a speed of 60 miles per hour. How long will it take to drive 270 miles?
Answers
Answer:
4 hours and 30 minutes.
Step-by-step explanation:
270÷60=4.5
Answer:
4 1/2 hours (((:
Step-by-step explanation:
What is the slip of the line shown below?
Answers
Answer:
Assuming you mean slope, the answer would be ...
2
The photo is pretty blurry but from what I see, from point 1 to point 2 the line shifts over 1 and goes up 2 units. In other words, slope=rise/run so the slope of this line = 2/1.
When you reduce 2/1 you get 2. I know the slope is positive because the line is going up from the y-axis not down.
Therefore, your answer is 2
Hope this helps!
Answer: 2
Step-by-step explanation:
The slope would be 2 :)
In an experiment, a fair coin is tossed 4 times and the number of heads that occurs is recorded.
Eighty trials of the experiment are run.
The table shows the frequency of 0, 1, 2, 3, or 4 heads occurring in the trials.
Number of heads
0
1
2
3
4
Frequency
4
8
36
20
12
Create a probability distribution for the discrete variable.
Drag the sliders on the horizontal axis to represent the probability distribution.
Answers
Answer:
Step-by-step explanation:
Hello!
The experiment consist in "a fair coin is tossed 4 times" the recorded variable is X: number of heads obtained after tossing the coin 4 times
The possible values for this variable: X: 0; 1; 2; 3; 4
The frequencies observed for each possible value of X after repeating the experiment for n=80 times
fi: 4; 8; 36; 20; 12
To create the probability distribution you have to calculate the probability for each value of X, by doing the following calculation [tex]p(xi)= \frac{fi}{n}[/tex]
p(X=0)= p(0)= 4/80= 0.05
p(X=1)= p(1)= 8/80= 0.10
p(X=2)= p(2)= 36/80= 0.45
p(X=3)= p(3)= 20/80= 0.25
p(X=4)= p(4)= 12/80= 0.15
For this to be a probability of distribution the following conditions are to be met:
p(xi)≥0∑p(xi)=1All calculated probabilities are at most zero.
∑p(xi)= 0.05+0.10+0.45+0.25+0.15= 1
xi | 0 | 1 | 2 | 3 | 4
fi | 4 | 8 | 36| 20 | 12
p(xi)| 0.05| 0.10| 0.45| 0.25| 0.15
F(Xi)|0.05| 0.15 | 0.60| 0.85| 1
I hope this helps!
Each of the following sets of dimensions represents the dimensions of a right rectangular prism. All of them have the same volume except:
Answers
Answer:
Its A
Step-by-step explanation:
i got it right
Q2.
If ε = {x: x is an integer such that 1<x<20} and A = {8, 9, 10, 11, 12, 13, 14} and
B = {2, 4, 6, 8, 10, 12, 14, 16, 18}.
(i) List down the elements of A’ and B’
(ii) Are sets A - B and B - A equal sets?
(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations
please please please please answer it it's so much inportant
Answers
Answer:
see below
Step-by-step explanation:
A = {8, 9, 10, 11, 12, 13, 14} and B = {2, 4, 6, 8, 10, 12, 14, 16, 18}
----------------
(i) List down the elements of A’ and B’
{8, 9, 10, 11, 12, 13, 14, 2, 4, 6, 8, 10, 12, 14, 16, 18} - this is the elements of both sets
----------
(ii) Are sets A - B and B - A equal sets?
A-B= {9, 11, 13}
B-A= {2, 4, 6, 16, 18}
These are not equal as we can see
----------
(iii) Find and compare the sets (AUB)’ and A’∩B’ and share your observations
A∪B= {2, 4, 6, 8, 9, 10, 11, 12, 13, 14, 16, 18}- union included all elements of both sets
A∩B= {8, 10, 12, 14} - intersection only includes common elements
PLEASE HELP!!
triangle abc is reflected about the line y=-x to give triangle a’b’c’ with vertices A’(-1, 1) B(-2, -1), C(-1, 0). what are the vertices of triangle abc
Answers
Answer:
-7,-6,-3.these are the vertices
Darius and Barb are playing a video game in which the higher score wins the game. Their scores are shown below.
Darius's scores: 96,54, 120, 87, 123
Barb's scores: 92, 98, 96, 94, 110
Barb says that she is the winner. Darius says that it is a tie, Who is correct?
O Barb is correct if both the mean and median scores are considered.
O Barb is correct if only the median score is considered
O Darius is correct if both the mean and median scores are considered,
O Darius is correct if only the median score is considered.
Answers
Answer:
D. I hope it helps!
Step-by-step explanation:
Darius is correct if only the median score is considered.
just took the quiz on edg.
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes. Find the probability that a randomly selected passenger has a waiting time greater than 3.25 minutes.
Answers
Answer:
0.59375
Step-by-step explanation:
In a uniform distribution the probability that the time t is greater than any given value, X, is:
[tex]P(t\geq X)=1-\frac{X}{b-a}[/tex]
In this problem, the limits of the distribution are a = 0 and b = 8 minutes.
For X =3.25 minutes:
[tex]P(t\geq 3.25)=1-\frac{3.25}{8-0} \\P(t\geq 3.25)=0.59375[/tex]
The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Calculation of the probability:Since The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 8 minutes.
So, here the probability is
[tex]= 1 - (3.25 \div (8-0))\\\\[/tex]
= 0.59375
Hence, The probability that a randomly selected passenger has a waiting time greater than 3.25 minutes is 0.59375.
Learn more about probability here: https://brainly.com/question/15241200
convert the fraction to a decimal. 1/5=
Answers
Answer:
0.2
Step-by-step explanation:
1/5 or one-fifths is a whole divided into 5 equal parts.
Suppose 100. Divide 100 into 5 equal parts and we get 20.
The whole 1 divided into 5 equal parts is 0.2.
Answer: 0.2
Step-by-step explanation: Decimals represent fractions with denominators of 10, 100, 1,000, and so on.
Therefore, in order to write 1/5 as a decimal, we must first
find a fraction equivalent to 1/5 with a denominator of 10.
So we multiply the numerator and denominator of
1/5 by 2 to get the equivalent fraction 2/10.
Now we have a fraction that can be written as a decimal.
Since the tenths place is 1 place to the right
of the decimal, we can write 2/10 as 0.2.
Part A: Joel uses the incorrect expression 0.95(190)(0.8) to calculate that the computer will cost him a total of $144.40. Describe his error and write the correct expression. * Part B: How much will Joel pay for his tablet? Show your work on a separate piece of paper and upload the picture.
Answers
Answer:
Part A) The correct Expression : (1.05)(190)(0.8)
=> The error of Joel was that instead of adding the sales tax, he subtracted it.
Part B) $159.60
Step-by-step explanation:
Part A:
To calculate the computer cost, we need to find out the selling price first.
There's a discount of 20% so the selling price will be 100% - 20% = 80% =>80/100 = 0.8
So, We'll multiply the cost price by 0.8
=> (190)(0.8)
But, there is a sales tax of 5%
So, the selling price with cost price will be:
=> 100% + 5% = 105% => 105/100 = 1.05 (We'll multiply this too with the first equation that we made above)
So, the expression will be:
=> (1.05)(190)(0.8)
The error of Joel was that instead of adding the sales tax, he subtracted it.
Part B)
Joel will pay for the tablet:
=> (1.05)(190)(0.8) [We used the above expression]
=> $159.60
‼️‼️10 points‼️‼️
1. Is the relationship shown by the data linear. If so, model the data with an equation.
A. The relationship is linear; y-5=-4/5(x-5).
B. The relationship is not linear.
C. The relationship is linear; y-5=5/4(x-1).
D. The relationship is linear; y-1=4/5(x-5).
Answers
Answer:
The correct answer is B.
Step-by-step explanation:
There is no clear rule regarding the relationship with these numbers. So it is not linear.
Good Luck!
Which equation corresponds to the sentence
Answers
Answer:
5x = 60
Step-by-step explanation:
Let the number be x.
The product of 5 and x equals 60.
5 × x = 60
5x = 60
Hey there!
Answer:
5x = 60.
Step-by-step explanation:
If a product (multiply) of 5 and a number equals 60:
x - represents a "number"
5 · x = 60
5x = 60.
Justin plans to attend a four-year college. He has estimated the costs per year.
Tuition = $2,900
Other educational expenses = $280
Housing and living expenses = $4,100
Justin’s counselor estimates he will receive $3,500 a year in grants. He also will be eligible for a work-study program that pays $2,800 per year. Justin also plans to save enough money to contribute $500 each year.
Justin’s plan doesn’t cover his costs completely. What are his options for covering the rest of his costs? Select all that apply.
He could try to save more money.
He could get a student loan for the extra amount he needs.
He could apply for a scholarship.
He could ask his friends to loan him money.
He could ask his family to contribute.
Answers
Answer:
A, B, C, E
Step-by-step explanation:
I literally just did the question on edge.
Answer:
a,b,c,e
Step-by-step explanation:
A server gets an average of $4.50 in tips for each table he serves. In the morning, the server had 12 tables and in the afternoon the server had 13 tables Find his tips
Answers
Answer:
$112.50
Step-by-step explanation:
so the first thing you would do is add 12 to 13 to get
12 + 13 = 25
then multiply 25 by 4.50 to get
25 x 4.50 = 112.50
so the average number of tips the server has received is $112.50
What is the seventh term in the arithmetic sequence defined by the explicit formula an=5n+3? (PLEASE HELP!!!)
Answers
Answer:
a7 = 38
Step-by-step explanation:
n is the term indicator
an = 5n+3
Let n=7 if we are looking for the 7th term
a7 = 5*7 +3
a7 = 35+3
a7 = 38
how do you do this : 40% of 98 = _____
Answers
Answer:
39.2.
Step-by-step explanation:
Think of the word "of" as a sign that you have to multiply.
- Hope this helped you.
Answer:
39.2
Explanation:
To solve this problem, we must first convert the forty percent into a decimal
⟹ 40% = 0.40
Next, multiply forty percent (as a decimal) by ninety eight
⟹ 0.40 × 98 = ?
⟹ 0.40 × 98 = 39.2
Therefore, forty percent of ninety eight is 39.2.
Evaluate 2/5 divided 1/4 Give answer as a mixed number in its simplest form
Answers
Answer:
1 3/5
Step-by-step explanation:
2/5 ÷ 1 /4
Reciprocal.
2/5 × 4/1
Multiply.
8/5
Convert to a mixed fraction.
1 3/5
The required mixed number is given as 3 1/5 and in simplest form, it is 8/5.
Given that,
To evaluate 2/5 divided 1/4,
Fraction is defined as the number of compositions that constitutes the Whole. Fraction is representation as a/b where a and b are integers.
Here,
According to the question,
= [2/5 ]/ [1/4]
= 2/5 × 4 / 1
= [2 × 4] / [5 × 1]
= 8 / 5
Now,
Mixed number = 8/5 = 3 1/5
Thus, the required mixed number is given as 3 1/5 and in simplest form, it is 8/5.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ3
square root of 524176 by long division
Answers
Answer:
724 is the square root of 524176.
Step-by-step explanation:
Square root of 524176 by long division method.
[tex]\sqrt{524176}[/tex] = 7) 52 41 76 (724
7 49
14 2) 341
2 284
144 4) 5776
5776
0
Therefore, square root of 524176 is 724.
blessings has cherries
she eats 1/4 of them
she has 18 cherries left
how many did she have at the beginning
Answers
Answer:
24 cherries
Step-by-step explanation:
18 is 75% of the original amount, meaning 25% will be 6 cherries.
So, 18 + 6 = 24, the original amount
Answer:
24 cherries
Step-by-step explanation:
If she has 18 now, and ate 1/4, its easiest to think of 18 as the other 3/4. When divided by 3, we get 6. If 18 is three sets of 6, you just add the fourth one to it to find the original amount. The answer is 24.
Given the equation y=2x-8, which statement is correct ? A.Y=2(x-4) has a y-intercept of 4 B. Y=2(x-4)has a y-intercept of -4 C. Y=2(x-4) has a x- intercept of 4 D. Y=2(x-4)has a x intercept of -4
Answers
Answer:
Correct option: C -> Y=2(x-4) has a x- intercept of 4
Step-by-step explanation:
To find the y-intercept of the equation y = 2x - 8, we just need to find the value of y when x = 0:
[tex]y = 2*0 - 8 = -8[/tex]
To find the x-intercept of the equation y = 2x - 8, we just need to find the value of x when y = 0:
[tex]0 = 2*x - 8[/tex]
[tex]2x = 8[/tex]
[tex]x = 4[/tex]
So the y-intercept is -8 and the x-intercept is 4.
Correct option: C -> Y=2(x-4) has a x- intercept of 4
Write 90 cm as a fraction of 2.4 m. Give your answer in its simplest form.
Answers
Answer:
[tex]\frac{3}{80}[/tex]
Step-by-step explanation:
90 cm in metres is = 0.09 m
Writing it as a fraction of 2.4 m
=> [tex]\frac{0.09 m}{2.4 m}[/tex]
In simplest form
=> [tex]\frac{3}{80}[/tex]
Expand and then collect the following expression 5(2b+1)+6(3b+2)
Answers
Step-by-step explanation:
10b+5+18b+10
28b+15 is the answer
Answer:
28b+17
Step-by-step explanation:
=> 5(2b+1) + 6(3b+2)
Expanding the brackets
=> 10b+5+18b+12
Combining like terms
=> 10b+18b+5+12
=> 28b+17
Hannah was trying to guess the month of her brother's birthday? She knew that the
month had less than five letters in its name. What is the probability that Hannah guesses
the correct month?
Round to the hundredths place.
Answers
Answer:
1/4 or 0.25
Step-by-step explanation:
1)January
2)February
3)March
4)April
5)May
6)June
7)July
8)August
9)September
10)November
11)October
12)December
Months that have less than five letters in its name
June
July
May
Probability= successful outcome ÷ possible outcone
Successful outcome=3
Possible outcome=12
Probability of Hannah guessing her brother's birthday=3÷12=1/4