Answer: x ≤ 15
Step-by-step explanation: All we need to do is divide both sides by 1/3, so1/3x / 1/3 and 5/ 1/3 = 15. So x ≤ 15.
Hope this helps!
In a well-shuffled, standard 52 card deck, what is the probability that a card is a Queen, given that it is a black card? Answer choices are in a percentage format, rounded to the nearest whole number
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%.
For more details refer to the link given below.
https://brainly.com/question/15165308
Suppose 27 gallons of water came out of a pipe in 9 minutes.what was the rate in gallons per minute
Answer:
Rate = 56 gal / 7 min
= 8 gal / min
Step-by-step explanation:
Hope this helps pls leave a heart c:
How do you solve (4x+9)(2x-4)?
Answer:
8x^2+2x-36
Step-by-step explanation:
Use foil method
Answer:
10x-36
Step-by-step explanation:
so you are going to use the distributive property.
Which is the correct answer?
will the quotient of 5 divided by 7/8 be greater than or less than 5? explain
Answer:
7/8 x 5/1 = 35. 35/8= 4.375 is less than 5
Step-by-step explanation:
Answer:
Greater
Step-by-step explanation:
If you divide 5 by 7/8, you will get 40/7. Convert to a decimal to compare, and you will see that 5<5.7
The local television station is hosting a telethon for a local children’s charity. They have asked students and adult sponsors from high school clubs and organizations to volunteer to answer the pledge phones. The television station has the following guidelines for volunteers:
Because of the number of available phone lines, the station can handle no more than 20 total volunteers, which includes students as well as their adult sponsors.
There must be at least one adult sponsor for every 4 students who volunteer.
The group of volunteers must be able to process at least 120 calls per hour. From previous telethons, the station estimates that each high school student can process 9 calls per hour, but adult sponsors usually only handle about 4 calls per hour.
There are 35 boys in the sixth grade. The number of girls in the sixth grade is 42. Lonnie says that means the ratio of the number of boys in the sixth grade to the number of girls in the sixth grade is 5: 7. Is Lonnie correct?
A corporate team-building event costs $4 for every attendee. How many attendees can
there be, at most, if the budget for the corporate team-building event is $36?
R
(x + 1)
(3x - 5)
S
Р
What is mzPQR ?
Answer:
x+ 1= 3
Step-by-step explanation:
^^
Mason sells life insurance policies. He earns a 12 percent commission on every policy he sells. He made the following sales this week: Monday $425.00, Tuesday $694.25, Wednesday $296.14, Thursday $501.85, and Friday $358.76. What is his commission for the week?
Answer: Mason made $185.00
Step-by-step explanation:
For the first 10 suits he made $12.50 each suit, then he made $20 for the additional 3. (Just ignore the "suits part ._.)
250*.05=12.50
250*.08=20
12.50*10=125
3*20=60
125+60=185.
2) C ( t ) = 4t =15
A) find C ( 4 ).
B) Find C ( t ) = 23.
9514 1404 393
Answer:
a) 31
b) t = 2
Step-by-step explanation:
Put the given value into the equation and solve for the unknown.
a) C(4) = 4·4 +15
C(4) = 31
__
b) 23 = 4t +15
8 = 4t
2 = t
Please answer asap
Use the graph to determine the input value for which f(x) = g(x) is true.
x = 0.5
x = 1
x = 1.5
x = 2
Pls help! What is the expression in simplest radical form?
√504
A soccer player practices kicking the ball into the goal from halfway down the soccer field. The time it takes for the ball to get to the goal from the time it is kicked averages about three seconds. The soccer field is 90 meters long. The player wants to know the average velocity of the ball.
Is there enough information to calculate this?
A: No, only average speed can be calculated from the distance of 90 meters and the time of three seconds.
B: No, only average speed can be calculated from the distance of 45 meters and the time of three seconds.
C: Yes, displacement is 45 meters, elapsed time is three seconds, and the direction is toward the goal.
D: Yes, displacement is 90 meters, elapsed time is three seconds, and the direction is toward the goal.
Answer: D
Step-by-step explanation:
the distance is 90m and the time is max 3 to goal so the answer is D
pls help me with this
What is 7.103 × 105 in standard notation?
Answer:
710300 is your answer if im not mistaken
if the school is havinng a pizza party they have 6,847 each kid will have 3 slices of the pizza how many slices of pizza the school need to order so each kid can have 3 slices help pls i got class at 8:30
I REALLY NEED HELP AND FAST!
Kendra earned a total of $368 for 46 hours of yard work. After doing a total of 115 hours of yard work, how much money will Kendra have earned? Assume the relationship is directly proportional.
Answer:
With ignoring the last sentence the answer is 920.
Step-by-step explanation:
115/46=2.5
2.5*368=920
Solve for x: |x + 2| + 16 = 14
3t-5=0
Help solve pleo
Answer:T = 0.6
Step-by-step explanation:Simplifying
3t + -5 = 0
Reorder the terms:
-5 + 3t = 0
Solving
-5 + 3t = 0
Solving for variable 't'.
Move all terms containing t to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 3t = 0 + 5
Combine like terms: -5 + 5 = 0
0 + 3t = 0 + 5
3t = 0 + 5
Combine like terms: 0 + 5 = 5
3t = 5
Divide each side by '3'.
t = 1.666666667
Simplifying
t = 1.666666667
Answer:
t = 5/3
t = 1 2/3
Step-by-step explanation:
Hi !
3t - 5 = 0
3t = 0 + 5
3t = 5
t = 5/3
t = 1 2/3
Good luck !
solve this equation, and show work. worth 40 points
Answer:
n=0
Step-by-step explanation:
both numbers have the same bases which is 5 so we can say that their exponents are equal to each other:
-2n = -2n-3
now we isolate the n variables to one side:
-2n + 2n = -3
0n = -3
n = 0
Maria finds a shirt on the clearance rack. It's original price was $75, but now it only costs $15. Find the percent of
change.
Answer:
80 percent off
Step-by-step explanation:
First find the difference in cost (75-15=60)
then divide the difference by the original price 60/75=.8
Help please posted this twice immediate help right now
Answer:
(-3, 4)
Step-by-step explanation:
Given equation of the line is,
y - 4 = -2(x + 3)
Any point (x, y) lying on this line will satisfy the equation by substituting x and y values.
If a point (-3, a) lies on this line,
By substituting x and y coordinates in the equation,
a - 4 = -2(-3 + 3)
a - 4 = -2(0)
a - 4 = 0
a - 4 + 4 = 0 + 4
a = 4
Therefore, ordered pair shown in the picture will be,
(-3, 4)
Answer: (-3, 4)
Step-by-step explanation:
hi guys please help me to solve the following question
Answer:
D!
Step-by-step explanation:
To find the area, we multiply the length times the width to find the number of squares in each box.
A) 1 square down times 7 squares across is 1 x 7, which is 7.
B) 2 squares down times 6 squares across is 2 x 6= 12.
C) 3 squares down times 5 squares across is 3 x 5 = 15.
D) 4 squares down times 4 squares across = 4 x 4 =16.
16 is the biggest number here, so that is the greatest area!
If you enjoyed my answer, please give it a rating and a Thanks! If you think this answer was pretty brainly, please give it a Brainliest!
Have a great day!
Justin owns a food truck that sells tacos and burritos. He only has enough supplies to make 110 tacos or burritos. He sells each taco for $3.25 and each burrito for $5.75. Justin must sell a minimum of $520 worth of tacos and burritos each day. If 39 tacos were sold, determine the maximum number of burritos that the Justin could sell that would meet the requirements. If there are no possible solutions, submit an empty answer.
Answer:
788
Step-by-step explanation:
Determine the range of the graph - Domain and Alternate notation is what I need like in the example attached
Answer: (2,6),(-6,7)
Step-by-step explanation:
What is the double of a hundred?
Answer:
200
Step-by-step explanation:
100 * 2 = 200
Answer:
200?
Step-by-step explanation:
Or is it something more complicated
this is urgent please help i need this qucik : neetu said that the sum of -8+d is always positive whenthe value of d is greater than 0 .is neetu's statement always true some times true or never true? explain your answer.provide at least two examples that support your answer.
Answer:
no this isn't true d could = 1 and then -8+1 is still -7
Step-by-step explanation:
Identify the slope of the line using the 2 points
(8,-7), (6,17)
12
-12
12
12
Help please ! Which similarly postulate or theorem let’s you conclude that JLK~MNO?
Answer: SSS
Step-by-step explanation:
