Answer:
33%
Step-by-step explanation:
The probability that a card is a Jack, given that it is a face card, can be expressed as the conditional probability:
P left parenthesis J a c k vertical line F a c e right parenthesis equals fraction numerator P left parenthesis J a c k space a n d space F a c e right parenthesis over denominator P left parenthesis F a c e right parenthesis end fraction
The probability that a card is both a Jack AND a face card is 4 over 52, as there are only 4 cards in a deck that have both qualities.
The probability of a face card is12 over 52 as there are a total of 12 face cards in a deck of cards.
So the probability of a card being a Jack given that it is a face card is:
P left parenthesis J a c k vertical line F a c e right parenthesis equals fraction numerator begin display style bevelled 4 over 52 end style over denominator begin display style bevelled 12 over 52 end style end fraction equals 4 over 12 equals 0.33 equals 33 percent sign.
Given that,
In a well-shuffled, standard 52 card deck,
We have to determine,
What is the probability that a card is a Queen, given that it is a black card?
According to the question,
There are 52 card decks,
Let, the card being a jack is A and the card being a face card is B,
[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}[/tex]
Then,
The probability of the card is a jack and a face card:
[tex]\rm The \ probability \of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{4}{52}\\\\ The \ probability \ of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{1}{13}[/tex]
All jacks are face cards.
And the probability of there being a face card is,
[tex]\rm The \ probability \of \ face \ card \ (Conditional \ probability) = \dfrac{12}{52}\\\\ The \ probability \ of \ face \ card \ (Conditional \ probability) = \dfrac{3}{13}[/tex]
There are 12 face cards in a deck.
Therefore,
The probability of a card being a jack given that it is a face card is,
[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}\\\\\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{\dfrac{1}{13}}{\dfrac{3}{13}}\\\\The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\[/tex]
Convert the probability of a card being a jack given that it is a face card into a percentage,
[tex]\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3} \times 100\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = 33 \ percent[/tex]
Hence, The probability of a card being a jack given that it is a face card is, 33%.
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are two squares with the same side lengths scaled copies of one another explain your reasoning
Answer:
no
Step-by-step explanation:
if they have the same side lengths, then neither of the squares were scaled up nor down. they're the same size, so they're just copies of each other
What is the value of x in the equation 8x-5(x-1)=20
1. 25/3
2. 21/4
3. 5
4. 7
QUESTION 2
84 is 30% of what number?
Answer: 280
Step-by-step explanation:
100/30=3.(3)
3.(3)*84=280
Answer:
280
Step-by-step explanation:
Solve for x
5x – 2(x+1)= 1/4
Enter your answer as a fraction in simplest form in the box.
X =
Basic
Answer:
x = 3/4
Step-by-step explanation:
Step 1: Write equation
5x - 2(x + 1) = 1/4
Step 2: Solve for x
Distribute -2: 5x - 2x - 2 = 1/4Combine like terms: 3x - 2 = 1/4Add 2 to both sides: 3x = 9/4Divide both sides by 3: x = 3/4Step 3: Check
Plug in x to verify it's a solution.
5(3/4) - 2(3/4 + 1) = 1/4
15/4 - 2(7/4) = 1/4
15/4 - 14/4 = 1/4
1/4 = 1/4
Convert a density of 9.45 g/L to its equivalent in g/mL
Answer:
the answer is 0.00945
Answer:
0.00945g/mL
Step-by-step explanation:
Divide the mass / volume value by 1000
PLZ ANSWER FAST (40 POINTS + BRAINLIEST)
Rewrite the expression y 2/3 as a radical expression.
Answer:
[tex]\sqrt[3]{y^2}[/tex]Step-by-step explanation:
Rewrite the expression y^2/3 as a radical expression.
if n is a positive integer that is greater than x and a is a real number or a factor, then aˣ/ⁿ = [tex]\sqrt[n]{a^x}[/tex]
use the rule to convert y²/₃ to a radical
where a =, x =, and n =.
therefore, the radical expression is [tex]\sqrt[3]{y^2}[/tex]
what is the rule for that
Answer:
The constant rule being followed is that the sum of x and y in every case is 5
Since the sum of x and y is 5, we can say that the value of y is 5-x
So we can define a function for this rule:
f(x) = 5 - x
Answer:
y = -x + 5Step-by-step explanation:
From the table we see that:
1. It is linear relationship as the difference in values change in linear increment2. Rate of change is - 1 as y-values drop by 1 unit3. y-intercept is 5 as per the first row (0, 5)Considering the above observations we can put equation:
y = - x + 5A survey in 2012 indicated that college freshmen carry a mean credit card debt of $611 but the median of their credit card debt is $47. Create a data set of five freshmen students so that the data set has a mean and median that is the same as that of the surveyed college freshmen. , , , ,
Answer:
$27, $30, $47, $1093, $1851
Step-by-step explanation:
The median is the middle number and the mean is the average. When averaging all the numbers above, you get 611 and the middle number is 47.
The possible data set is $27, $30, $47, $1093, and $1851.
What is the mean?The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means.
To create a data set of five freshmen students with the same mean and median as the surveyed college freshmen:
Arrange the five numbers in ascending order to create the data set.
For example, one possible data set is:
$27, $30, $47, $1093, $1851
The mean of this data set is (28+ 40 + 47 + 1090 + 1850) / 5 = $611, which is the same as the mean of the surveyed college freshmen.
The median of this data set is 47, which is also the same as the median of the surveyed college freshmen.
Therefore, $27, $30, $47, $1093, and $1851 are the points of the data set.
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Solve for x: x + b = C
Answer:
x=C-b
Step-by-step explanation:
Subtract b from both sides to get x alone.
Maggie's brother is 4 years younger than four times her age. The sum of their ages is 31.
How old is Maggie?
Plzzzzzz hellp
Pllllzzzz
Answer:
Maggie is 7 years old
Step-by-step explanation:
Attached is an image that explains the question. Hope this helps!
In lisa class ,24of students are tall and 12 are short. In pauls class 15 studens are tall and 20 students are short. Which class has a higher ratio of tall to short students.
Answer:
Lisa's class because she has 24:12 and paul has 15:20
Select the correct answer.
Which Triangles in the diagram are congruent?
Answer:
D. its all hope this helps :)
Step-by-step explanation:
Answer:
triangles 1 and 3 I'd say
Find the exact length of the third side.
Answer:
5
Step-by-step explanation:
The answer is 5 I just used google.
How many atoms is 4.00 grams of iron
(Fe)?
Answer:
226
Step-by-step explanation:
5,5,3 Is this a triangle? Explain.
8,8,8,Is this a triangle? Explain.
7,8,15 Is this a triangle? Explain.
5,6,10 Is this a triangle? Explain.
No clown answers or you'll get reported please help me I have until 3:00 am desperate please solve
Answer:
None of these points form a right triangle.
Step-by-step explanation:
IF YOU'RE TRYING TO FIND IF THE POINTS FORM A RIGHT TRIANGLE, THIS SHOULD WORK.
5,5,3 Explantation: To first start things off, we know our hypotenuse is the longest side of the right triangle. Using this information, we know that 5*2( 5 squared) is 25 and that 3 squared is 9. Now we add these two points and we get 34. (Don't forget to square the other side.) Now we have 34=25 which is not true sooo we know the points given do not form a RIGHT triangle.
The same goes with the other points. Once you solve them, neither of them form a right triangle. (Don't forget that we use a*2 + b*2=c*2) (The c should be the biggest point given!)
Hope this helps, if you have any questions please feel free to ask! :)
I need help "The cost of 1 movie ticket is $7.50. The cost of 2 movie tickets is $15. Based on the constant rate of change what is the cost of 4 movie tickets?
Answer:
4 tickets cost $30
step by step:
15+7.50=22.5 (3 tickets)
22.5+7.50=30 (4 tickets)
Kimora drove with frankie to her mothers house which is 310 miles away. If it took them 6 hours, what was their average speed ?
Answer:
51.6 was the average speed
Step-by-step explanation:
speed= distance/time
Does the equation y = x/2 represent a proportional relationship
Answer:yes
Step-by-step explanation:Y=x/2 because it goes through the origin
-8x-10 y= 24
6.0 + 5y = 2
(-16)-10y=24
-10y=24+16
this steps has been cropped in the pic
so try to understand
hope you like the answer
please mark as brainlist
The assets (in billions of dollars) of the four wealthiest people in a particular country are 47, 30, 28, 18. Assume that samples of size n=2 are randomly selected with replacement from this population of four values. a. After identifying the 16 different possible samples and finding the mean of each sample, construct a table representing the sampling distribution of the sample mean. In the table, values of the sample mean that are the same have been combined.
Step-by-step explanation:
The 16 possible permutations and their means are:
47, 47: μ = 47
47, 30: μ = 38.5
47, 28: μ = 37.5
47, 18: μ = 32.5
30, 47: μ = 38.5
30, 30: μ = 30
30, 28: μ = 29
30, 18: μ = 24
28, 47: μ = 37.5
28, 30: μ = 29
28, 28: μ = 28
28, 18: μ = 23
18, 47: μ = 32.5
18, 30: μ = 24
18, 28: μ = 23
18, 18: μ = 18
So the frequency distribution of the sample means is:
[tex]\left[\begin{array}{cc}Mean&Frequency\\18&1\\23&2\\24&2\\28&1\\29&2\\30&1\\32.5&2\\37.5&2\\38.5&2\\47&1\end{array}\right][/tex]
The mean of a dataset is the average value of the dataset.
The dataset is given as:
47, 30, 28 and 18
From the above dataset, we can see that the data elements are 4
The sample size is given as:
n = 2
So, the number of different samples is:
[tex]Samples = 4^2[/tex]
[tex]Samples = 16[/tex]
The 16 samples are: {(47,47), (47,30), (47,28), (47,18),(30,47), (30,30), (30,28), (30,18),(28,47), (28,30), (28,28), (28,18),(18,47), (18,30), (18,28), (18,18)}
The mean values of the above samples are: {47, 38.5, 37.5 , 32.5 , 38.5 , 30 , 29 , 24 , 37.5 , 29 , 28 , 23 , 32.5 , 24 , 23 , 18}
Rearrange in ascending order
18, 23, 23, 24, 24, 28, 29,29, 30, 32.5, 32.5, 37.5, 37.5, 38.5, 38.5, 47
So, the table of the sample means is:
Mean Frequency
18 1
23 2
24 2
28 1
29 2
30 1
32.5 2
37.5 2
38.5 2
47 1
Total 16
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The exam in a course consists of 25 true/false questions, each worth two points, 35 multiple-choice questions, each worth one point, and 5 fill-in-the-blank questions, each worth three points. The probability that a student answers a true/false question correctly is 0.8, the probability that they answer a multiple-choice question correctly is 0.75, and the probability that they answer a fill-in-the-blank question correctly is 0.65. What is the expected score on the exam? Now consider the case where an incorrect answer on a true/false question results in a penalty of −1 point. 2 What is the resulting expected score?
Answer:
Expected Score (No Negative Marking) = 135 points
Expected Score (with penalty) = 130 points
Step-by-step explanation:
First we find no. of true false answered correctly:
True/False Correct = (Total No. of True/False)(Probability to correctly answer true/false)
True/False Correct = (25)(0.8)
True/False Correct = 20
Now, for points scored from true/false:
True/False Score = (True/False Correct)(Points for 1 True/False)
True/False Score = (20)(2)
True/False Score = 40 points
Now, we find no. of mcqs answered correctly:
MCQs Correct = (Total No. of MCQs)(Probability to correctly answer MCQs)
MCQs Correct = (35)(0.75)
MCQs Correct = 26.25 = 26
Now, for points scored from MCQs:
MCQ Score = (MCQs Correct)(Points for 1 MCQ)
MCQ Score = (26)(1)
MCQ Score = 26 points
Now, we find no. of fill in the blanks answered correctly:
Fill in the blanks Correct = (Total No. of Fill in the blanks)(Probability to correctly answer Fill in the blanks)
Fill in the blanks Correct = (35)(0.65)
True/False Correct = 22.75 = 23
Now, for points scored from true/false:
Fill in the blanks Score = (Fill in the blanks Correct)(Points for 1 Fill in the blanks)
Fill in the blanks Score = (23)(3)
Fill in the blanks Score = 69 points
So, the expected total score will be:
Expected Score = 40 points + 26 points + 69 points
Expected Score = 135 points
IN CASE OF PENALTY:
We know that:
Incorrect True/Flase = Total True/False - Correct True/False = 25 - 20 = 5
Therefore,
Total Penalty = (Incorrect True/False)(Penalty on one)
Total Penalty = (5)(- 1 points)
Total Penalty = - 5 points
Now, expected score will be;
Expected Score (with penalty) = 135 points - 5 points
Expected Score (with penalty) = 130 points
Jennifer and Jacob took 3h5min to decorate the Christmas tree.they took 1h55min longer to decorate the Christmas tree than to wrap the present.what is the total time they took to decorate the Christmas tree and wrap the present?
Answer:
5 hours
Step-by-step explanation:
3h5min+1h55min=5hours
Answer:
3+1=4
55+5=60
60 minutes make an hour
=5
Step-by-step explanation:
Hi i need help with this "The cost of a theme park ticket is $25. The cost for 2 ticket is $50 what is the cost of 4 theme park tickets
Answer:
$100
Step-by-step explanation:
If 1=$25, 2=$50, then 4*25=100 and 50*2=100
what is 2.1 divided by 12.6
Answer:
0.16666666666
Answer:
0.16666667
Step-by-step explanation:
1.Find the missing angle
2.what is the measure of angle 1
3.what is the measure of angle 2?
Solve for b.
ab +c=d
Answer:
[tex]ab + c = d \\ ab = d - c \\ b = \frac{d - c}{a} [/tex]
Can someone help me please
Answer:
-729, so x9
Step-by-step explanation:
-81×9=-729 hope it helps!
Help with this plz plz ASAP
Habiba wants to buy a new laptop. She purchases it for $950 and finances it for 3 years at an interest rate of 9.2%. How much interest will she pay?
1) Which of these situations can be represented by the opposite of 80? Select all that apply. *
a) An airplane descends 80m.
b) An elevator ascends 80m.
c) The cost of a train ticket drops $80.
d) You remove 80 songs from an iPhone.
e) Suzy's grandmother is 80 years old.
Answer:
D because if you remove the song there will be no more numberrs which is the opposite.
Situations A, C and D are the correct answers.
From the options, we need to check the situations opposite to 80.
What are integers?An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Now,
Situation A: An aeroplane descends 80 m, this can be represented in integer form as -80.
Situation B: An elevator ascends 80 m, this can be represented in integer form as 80.
Situation C: The cost of a train ticket drops by $80, which can be represented in integer form as -80.
Situation D: You remove 80 songs from an iPhone, which can be represented in integer form as -80.
Situation E: Suzy's grandmother is 80 years old, which can be represented in integer form as 80.
Therefore, situations A, C and D are the correct answers.
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