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,
\(\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}\)
Then,
The probability of the card is a jack and a face card:
\(\rm The \ probability \of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{4}{52}\\\\ The \ probability \ of \ Jack\ given\ face \ card \ (Conditional \ probability) = \dfrac{1}{13}\)
All jacks are face cards.
And the probability of there being a face card is,
\(\rm The \ probability \of \ face \ card \ (Conditional \ probability) = \dfrac{12}{52}\\\\ The \ probability \ of \ face \ card \ (Conditional \ probability) = \dfrac{3}{13}\)
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,
\(\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{Probability \ of \ A \ and\ B}{Probability \ of\ B}\\\\\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{\dfrac{1}{13}}{\dfrac{3}{13}}\\\\The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\\)
Convert the probability of a card being a jack given that it is a face card into a percentage,
\(\rm The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3}\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = \dfrac{1}{3} \times 100\\\\ The \ probability \of \ A\ given\ B \ (Conditional \ probability) = 33 \ percent\)
Hence, The probability of a card being a jack given that it is a face card is, 33%.
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Does anyone know how to solve this problem?
Answer:
50, 130
Step-by-step explanation:
Since they are a linear pair they add to 180
z + ( 2.4z+10) = 180
Combine like terms
3.4z + 10 = 180
Subtract 10 from each side
3.4z+10-10 = 180-10
3.4z = 170
Divide each side by 3.4
3.4z/3.4 = 170/3.4
z = 50
2.4z + 10 = 130
There are 30 students in Ms. Lander's fifth-grade class. On Monday. i of the students stayed home with a cold. How many students stayed home?
The number of students that stayed home will be 6 students.
How to illustrate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
Since there are 30 students in Ms. Lander's fifth-grade class. On Monday 1/5 of the students stayed home with a cold.
The number of students that stayed home will be:
= 1/5 × 30
= 6 students
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Complete question
There are 30 students in Ms. Lander's fifth-grade class. On Monday 1/5 of the students stayed home with a cold. How many students stayed home?
4.
Jaiden earned $84 last week. Peter earned only $12. Jaiden’s earnings are how many times greater than Peter’s? Choose the answer that has the correct equation AND the correct solution to the equation.
12x = 84; x = 7 times more
12 + x = 84; x = 72 times more
84x = 12; x = 7 times more
12x = 84; x = 9 times more
PREVIOUS
Answer:
i belive the answer is B
Step-by-step explanation:
Answer: A
Step-by-step explanation:
84 divided by 12 is 7
ASSIGNMENTS
COURSES
Assignment - 15. Quiz 3: Word Problems
Attempt 1 of 2
SECTION 1 OF 1
QUESTIO
<
9
10
11
12
13
14
15
>
After John worked at I job for 10 years, his salary doubled. If he started at $x, his salary after 10 years is
0.1
2
$x+ 2
$x-2
$2x
Answer:
Step-by-step explanation:
What
Mixed numbers 204/5=
Answer:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 204 by 5 and keep only what is to the left of the decimal point:
204 / 5 = 40.8000 = 40
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
204 - (5 x 40) = 4
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 204/5 as a mixed number is:
40
4
5
Improper Fraction To Mixed Number Converter
204/5 as a mixed number is not the only problem we solved. Go here to convert another improper fraction to a mixed number.
What is 204/6 as a Mixed Number?
Here is the next improper fraction on our list that we converted to a mixed number.
Terminology & Explanation
204 above the division line is called the numerator and 5 below the divison line is called the denominator.
We call the line that separates 204 and 5 the division line. It is also known as the fraction bar or vinculum.
204/5 is an improper fraction because the numerator is greater than the denominator.
A mixed number is an integer (whole number) and a proper fraction.
Determine whether y varies directly with x. If so, find the constant of the variation.
y=7/x
Answer:
Direct variation is modeled by
... y = k·x
Then the value of k can be found by finding the ratio of any corresponding pair of numbers from your table. I find it convenient to choose the one where x=10, so the math is easy to do mentally.
... y/x = k
... 16/10 = k = 1.6
Then the equation is
... y = 1.6x
_____
Checking the other values in the table, we find that this equation fits all of them, so you do have direct variation.Step-by-step explanation:
8 Annexure A RESEARCH TOOL: CAMPAIGN(S) IN THE COMMUNITY Name of a campaign: Position of the interviewee(s) at the Centre: ** Respond to the following questions/statements by placing a tick (✓) where appropriate and also by filling in the spaces below. 1. Does the Campaign pursue it's aims? YES/NO Elaborate
In the provided text is a questionnaire or form related to a research tool for assessing a campaign in the community.
The first question asks whether the campaign pursues its aims, with the options of answering "YES" or "NO." The respondent is then instructed to elaborate on their answer.
What is a questionnaire?A questionnaire is a research tool used to collect data by presenting a series of questions to respondents,typically in a written format.
Questionnaires are an important research tool as they allow researchers to gather large amounts of data from a large number of participants in a standardized and efficient manner.
They provide a structured approach to collecting information,allowing for easy analysis and comparison of responses.
Questionnaires can be used in various research settings and are particularly useful for collecting quantitative data,measuring attitudes, opinions, behaviors, and gathering demographic information.
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What is the perimeter of a triangle with vertices (-1, 2). (-1, -1), and (3, -1)?
Answer:
perimeter = 12
Step-by-step explanation:
In a right-angled triangle, a² + b² = c²
where c is the hypotenuse, and a and b are opposite and adjacent, either way.
have a look at attached documents for answer and explanation
X to the third power equals 512
Answer:
8
Step-by-step explanation:
what is 295 cents in dollars???
Answer:
$2.95
Step-by-step explanation:
Graphs. First correct answer will mark brainliest.
30 POINTS!!
The assumption in answering the question is that no student scored 0
The assumptions made in answering the questionFrom the question, we have the following parameters that can be used in our computation:
The bar chart
On the bar chart, we hae
Students that score more than 8 = 5
Students in the class = 33
The (b) is calculated by considering all students that score more than 0 from the histogram
This means that the assumption is that no student scored 0
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The swim team swam 154 laps in 7 days,
swimming the same number of laps each
day.
a) How many laps per day did they swim?
b) At that rate, how many laps will they
swim in 10 days?
Answer:
A is 22
B is 220
Step-by-step explanation:
you divide 154 by 7 and get 22
then if it's 22 laps per day just multiple 22 and 10
Answer:
1. 22 you just do 154/7
2. 220 you just do 22x10!
Have a great day / night!
Happy holidays!! <33
Step-by-step explanation:
find the x and y intercepts of the following linear function and draw the graph: 2x-8y=-18
Answer:
Step-by-step explanation:
2x - 8y = - 18
- 8y = - 2x - 18
y = ¼x + 2¼
y intercept occurs when x = 0, so b = 2¼ (0, 2¼)
x intercept occurs when y = 0
0 = ¼x + 2¼
¼x = - 2¼
x = -9 (-9, 0)
Twice a certain number is subtracted from 9 times the number. The result is 21. Find the number.
Answer:
3
Step-by-step explanation:
Let x represent the number.
Create an equation to represent the situation, and solve for x:
9x - 2x = 21
7x = 21
x = 3
So, the number is 3.
please help i will mark brainliest!
Answer:
adult tickets: $13student tickets $7Step-by-step explanation:
The given equations are ...
4a +5s = 87
2a +2s = 40
We observe that the coefficient of 'a' in the first equation is 2 times that in the second equation. We can multiply the second equation by -2 and add it to the first to eliminate 'a' terms.
(4a +5s) -2(2a +2s) = (87) -2(40)
4a +5s -4a -4s = 87 -80 . . . . . . . . . eliminate parentheses
s = 7 . . . . . . . . . . . . . . . . . .simplify
2a +2(7) = 40 . . . substitute for s in the second equation
2a = 26 . . . . . . subtract 14
a = 13 . . . . . . . divide by 2
Adult tickets cost $13; student tickets cost $7.
Question is on the picture
By answering the presented question, we may conclude that She spends equation 40% of her time at work and 15% of her time on other hobbies. She spends 20% of her time napping.
What is equation?In mathematics, an equation is an assertion that affirms the equivalence of two factors. An algebraic equation (=) separates two sides of an equation. For instance, the assertion \("2x + 3 = 9"\) states that the word \("2x + 3"\) Corresponds to the number "9".
The goal of solution solving is to figure out which variable(s) must still be adjusted for the equations to be true. It is possible to have simple or intricate equations, recurring or complex equations, and equations with one or more components.
For example, in the equations \("x2 + 2x - 3 = 0\) ," the variable x is lifted to the powercell. Lines are utilized in many areas of mathematics, include algebra, arithmetic, and geometry.
Abby, according to the picture, spent:
She spends 25% of her time in school.
She spends 40% of her time at work and 15% of her time on other hobbies.
Therefore, Furthermore, she spends \(20\) of her time napping.
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Events A and B are independent.
P(A and B) = 0.25
Enter possible probabilities for events A and B.
P(A) =
P(B) =
2.
P(A)=0.5 and P(B)=0.5
P(A)=0.25 and P(B)=0.25
P(A) =0.20 and P(B) = 0.05
P(A)=0.05 and P(B) = 5.0
The possible probabilities for events A and B are P(A) =0.20 and P(B) = 0.05 where the values satisfied P(A and B) = P(A) × P(B).
Events A and B are independent.
P(A and B) = 0.25
we need to find possible probabilities for events A and B.
What is probability?Probability refers to the occurrence of a random event. The probability of an event is always is between 0 and 1.
The probability for two independent events P(A) and P(B) is
P(A and B) = P(A) × P(B)
if P(A and B) = 0.25
Solving by putting the option one by one, we get
For P(A)=0.5 and P(B)=0.5, P(A and B) ≠ P(A) × P(B)
For P(A)=0.25 and P(B)=0.25, P(A and B) ≠ P(A) × P(B)
For, P(A) =0.20 and P(B) = 0.05,
P(A) × P(B) = 0.25 which is equal to P(A and B).
So, the possible probabilities for events A and B are P(A) =0.20 and P(B) = 0.05 where the values satisfied P(A and B) = P(A) × P(B).
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(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
Enter the ordered pair for point A in the boxes.
Which economic system has no government involvement in the market? a. capitalism b. communism c. socialism d. No economic system is free from government involvement. Please select the best answer from the choices provided A B C D Mark this and return
Answer: D is correct.
Step-by-step explanation:
The economic system that has no government involvement in the market is d. No economic system is free from government involvement.
In reality, there is no government intervention because at some point the government will comes in , this could actually be minimal, only in the free market is where there is no government intervention.
It should be noted that in this free market, there is an unregulated system of economic exchange, where the act of taxes collection as well as quality controls, has no economic interventions which can be attributed to the government. Because of this, option D is correct.
I hope this helped! Brainilist is highly appreciated! <333
Two jugs are similar. The smaller jug has radius 4cm and the bigger jug has radius
6cm and surface area 125cm2. The smaller jug has a volume of 400cm.
Calculate
the area of the smaller jug.
Given:
Two jugs are similar. The smaller jug has radius 4 cm and the bigger jug has radius 6 cm and surface area 125 cm².
To find:
The area of the smaller jug.
Solution:
If two figures are similar, then the ratio of their areas is proportional to the square of the corresponding sides of the figures.
Two jugs are similar. So,
\(\dfrac{\text{Area of smaller jug}}{\text{Area of bigger jug}}=\dfrac{(\text{Radius of smaller jug})^2}{(\text{Radius of bigger jug})^2}\)
\(\dfrac{\text{Area of smaller jug}}{125}=\dfrac{(4)^2}{(6)^2}\)
\(\dfrac{\text{Area of smaller jug}}{125}=\dfrac{16}{36}\)
\(\text{Area of smaller jug}=\dfrac{4}{9}\times 125\)
\(\text{Area of smaller jug}\approx 55.56\)
Therefore, the area of the smaller jug is about 55.56 cm².
Answer:
yuh
get into it
Step-by-step explanation:
Suppose it is 4:30 on Friday .Janice wants to go to the hardware store.it will take her 35 minutes to drive to the store from home can she make it before the store closes
Answer:
Not if store closes at 5pm. The time store closes isn’t mentioned.
Step-by-step explanation:
If it takes her 35 minutes to drive to the hardware store, she would arrive at 5:05 (4:30+:35 minutes)
Help asap please!
What is sin(B)?
5
√61
sin(B):
6 [?]√[]
B
=
Answer:5SQRT61/
61
Step-by-step explanation:
Between what two multiples of ten is 328
Answer:
It's between 32 (which is 320) and 33 (which is 330).
Step-by-step explanation:
328 / 10 = 32.8
There are some people in a cinema.
3/5 of the people in the cinema are children
For the children in the cinema,
Number of girls:number of boys = 2:7
Their are 170 girls in the cinema
Work out the number of adults
Answer:
\(Adults = 510\)
Step-by-step explanation:
Given
\(Children = \frac{3}{5}\)
\(Girls:Boys = 2 : 7\)
\(Girls = 170\)
Required
Determine the number of adults
First, we need to calculate the number of children
\(Girls:Boys = 2 : 7\)
Given that: \(Girls = 170\)
Substitute 170 for Girls in \(Girls:Boys = 2 : 7\)
\(170 : Boys = 2 : 7\)
Convert to fraction
\(\frac{170}{Boys} = \frac{2}{7}\)
Cross Multiply
\(Boys * 2 = 170 * 7\)
Divide both sides by 2
\(Boys = \frac{170 * 7}{2}\)
\(Boys = \frac{1190}{2}\)
\(Boys = 595\)
So, the number of children are:
\(Children = Boys + Girls\)
\(Children = 595 + 170\)
\(Children = 765\)
Next, we calculate the number of people in the cinema.
\(Children = \frac{3}{5} * People\)
Substitute 765 for Children
\(765 = \frac{3}{5} * People\)
Make People the subject.
\(People = \frac{765 * 5}{3}\)
\(People = \frac{3825}{3}\)
\(People = 1275\)
If 3/5 are children, then 2/5 are adults.
So:
\(Adults = \frac{2}{5} * 1275\)
\(Adults = \frac{2* 1275}{5}\)
\(Adults = \frac{2550}{5}\)
\(Adults = 510\)
An artist sells her sculptures for $250. Each piece costs her $150 to make, and she spends $11000 per year for her studio and other fixed costs. How many sculptures must she sell if she wants to make $10000 in profit
l don't know if you know it tell please
What is the volume of this figure?
11 cm
8 cm
6 cm
10 cm
Answer:
use mathwa.y it will help
Step-by-step explanation:
Solve the system of equations. How many solutions foes the system have? Help pls :D
Answer:
Infinitely Many SolutionsStep-by-step explanation:
Step-1: Re-write the equations into correct form.
=> 6x + 3y = 24y = -2x + 8
=> 6x - 24 = -3y-2x + 8 = y
Step-2: Multiply "-2x + 8 = y" by 3.
=> 6x - 24 = -3y-6x + 24 = 3y
Step 3: Subtract or Add if needed
=> 0 = 0Because we got a result 0 = 0, this means that the system has infinitely many solutions.
Hoped this helped.
\(BrainiacUser1357\)
Cheese fries or Home fries
it gotta be cheese fries fa sho
Tomas wants to invest $5,000 into a fund with an interest rate of 6% compounded monthly. At the end of 4 years, how much money will there be in the fund? Round your answer to the nearest dollar.
$6355 will be there in the fund
Investment=$5000
Interest rate =6%=0.06
Time = 4years
We need to find how much money will be there in fund
What is compound interest?
A=Pe^rt
A=5000*e^0.06*4
=5000*e^0.24
=5000*1.271
=$6355
Therefore $6355 will be there in the fund
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