Two cards are drawn without replacement. What information do you need in order to calculate the probability that the second card is a red king, given that the first card is a black queen?The probability that the second card is a red kingThe probability of both a red king and a black queenThe probability that the first card is a black queenThe probability that the second card is a black queen aa and b ba and d cb and c dc and d
Answers
To explain properly this problem let's remember that the conditional probability of B given A can be calculated as:
\(P(B|A)=P(A)P(A\cap B)\)In this case let A be the event "Drawing a black queen" and let B be the event "Drawing a red king"; with these definitions of events then we have that A∩B is the event "Drawing both a black queen and a red king". According to the formula above we need P(A) and P(A∩B), which means that we need:
• The probability that the first card is a black queen.
,• The probability of both a red king and a black queen.
Therefore, we need to know b and c from the list given and the correct choice is option C.
Related Questions
How many gallons of a 50% antifreeze solution must be mixed with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze?
Answers
Answer: 180 gallons needed
Step-by-step explanation:
Zykeith,
Assume x gallons of 50% antifreeze is needed
Final mixture is x + 60 gallons
Amount of antifreeze in mixture is 0.4*(x+60)
Amount of antifreeze added is .5x + .1*60 = .5x + 6
so .5x + 6 = .4(x + 60)
.5x -.4x = 24 -6
.1x = 18
x = 180
Let x be the number of gallons of the 50% antifreeze solution needed. We know that the resulting mixture will be 70 + x gallons. To get a 40% antifreeze mixture, we can set up the following equation:
\({\implies 0.5x + 0.1(70) = 0.4(70 + x)}\)
Simplifying the equation:
\(\qquad\implies 0.5x + 7 = 28 + 0.4x\)
\(\qquad\quad\implies 0.1x = 21\)
\(\qquad\qquad\implies \bold{x = 210}\)
\(\therefore\) We need 210 gallons of the 50% antifreeze solution to mix with 70 gallons of 10% antifreeze to get a mixture that is 40% antifreeze.
\(\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}\)
4. Malaki has a 'no interest-free period' credit card that charges 16.5% p.a. interest. On 9 January he purchases a phone costing K395.00. His January statement is dated 28 January and the phone is the only item on it.
a. How much interest is charged on the January credit card statement?
b. Malaki pays K100.00 off the amount owed on 28 January and makes no more purchases or payments before the next credit card statement arrives on 28 February. How much will this statement show that Malaki owes?
Answers
Answer:
K5.60.
Step-by-step explanation:
find the expected value of the winnings from a game that has the following payout I cannot proceed without your help :)
Answers
The expected value of the winnings from the game is $3.24.
To find the expected value of the winnings, we multiply each possible payout by its corresponding probability and sum them up.
Expected Value = (2 x 0.64) + (4 x 0.18) + (6 x 0.12) + (8 x 0.04) + (10 x 0.02)
Expected Value = 1.28 + 0.72 + 0.72 + 0.32 + 0.20
Expected Value = 3.24
Therefore, the expected value of the winnings from the game is $3.24.
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Amal can run 1/8 mile in 1 1/2 minutes. If he can maintain that pace, how long will it take him to run 1 mile?
Answers
Answer:
the answer would be 12 minutes
Step-by-step explanation:
elsa hikes up a mountain. she hikes back down at a constant rate the table shows elsas elevation at each hour after she begins her descent
Answers
The linear equation from the given table is expressed as:
y = -1500x + 8350
How to find the equation from the table?The general form for the equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
The formula for the equation of a line through two coordinates is:
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)
We will take the two coordinates (1, 6850) and (2, 5350)
Thus:
(y - 6850)/(x - 1) = (5350 - 6850)/(2 - 1)
(y - 6850)/(x - 1) = -1500
y - 6850 = -1500x + 1500
y = -1500x + 1500 + 6850
y = -1500x + 8350
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5 What is the solution for y in the following system of equations?
7x + 2y = 8
-
7x+6y= -88
Answers
Answer:
working on a answer one second
Step-by-step explanation:
Drawing a number divisible by 3 then drawing a 1
Answers
Answer:
Step-by-step explanation:
The probability of drawing a number that is divisible by 3 is 1/3, since there are 3 numbers (3, 6, and 9) out of the 9 possible numbers (1, 2, 3, 4, 5, 6, 7, 8, and 9) that are divisible by 3.
The probability of drawing a 1 after drawing a number that is divisible by 3 is 1/10, since there is only one 1 among the 10 possible digits (0-9) that could be drawn after the first number.
To find the probability of both events happening together (drawing a number divisible by 3 and then drawing a 1), we need to multiply the probability of the first event by the probability of the second event. Therefore, the probability of drawing a number divisible by 3 and then drawing a 1 is:
(1/3) x (1/10) = 1/30
So the probability of drawing a number divisible by 3 and then drawing a 1 is 1/30, or approximately 0.0333, or about 3.33%
Answer:
If I understand this correctly you can draw a 9 and then draw the one if I'm wrong just delete this
Step-by-step explanation:
Given the equation, y=2x+6, what is its slope? Select one: a. 6 b. 3 c. 1 d. 2
Answers
Answer:
D. 2
Step-by-step explanation:
y=mx+b
m is the slope in this case, and by your equation, we can easily see that the answer should be D, with a slope of 2.
Answer:
d.2
Step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
y=2x+6
m=2
b=6
slope=2
Pls help I’ve been stuck on this for a while.
Answers
Answer:
The answer to this question your asking is b
Explain how you know which terms to combine
when combining like terms.
Answers
Answer:
See like terms have the same variables
E.g 2x+4y-x+7y
We should take the same variable together with the same signs so here
2x-x will be 1x
4y+7y will be 11 y
So x+11y
Hope it helps!
1. if he flips the bottle ten times, how many do you expect to land right side up? justify by either plugging into the formula or using complete calculator notation. round answer to 4 decimal places.
Answers
I expect to land right side up using probability is 2.
What is Probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The likelihood that an event will occur increases with its probability.
Probability theory, which is widely employed in disciplines including statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these ideas an axiomatic mathematical formalization.
I expect to land right side up using probability is 10(0.2)
so that the answer is 2.
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x+2/4−x−1/\(\frac{x+2}{4} -\frac{x-1}{3}=2\)3=2
Answers
x = - 14
Steps:
• 3( x + 2 ) - 4 ( x - 1 ) = 24
• 3 x + 6 - 4 ( x - 1 ) = 24
• 3 x + 6 - 4 x + 4 = 24
• - x + 6 + 4 = 24
• - x + 10 = 24
• - x = 24 - 10
• - x = 14
• x = - 14 ✅
NEED HELP ASAP
Earth is approximately 9 × 107 miles from the Sun. Neptune is approximately 3 × 109 miles from the Sun. Neptune is approximately ____ times farther from the Sun than Earth.
Answers
Answer:
300
Step-by-step explanation:
Neptune is approximately 33 times farther from the sun that earth.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Distance of Earth from the Sun = 9 × 10⁷
Distance of Neptune from the Sun = 3 × 10⁹
Now,
Since, Distance of Earth from the Sun = 9 × 10⁷
Distance of Neptune from the Sun = 3 × 10⁹
Hence, The times of distance between the Earth and Sun from Neptune; = 9 /3 × 10⁷×10²
= 100/3 × 9× 10^7
= 100/3 times of distance between Earth & Sun
Hence, Neptune is approximately 33 times farther from the sun that earth.
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Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all of the headphones and music players in identical packages. What is the greatest number of packages Tim can make?
Answers
Answer:
13 packages
Step-by-step explanation:
We need to find the highest common factor, in order to solve this problem.
So, we have to find the highest common factor of 39 and 13.
We find the highest common factor of 39 and 13 because it says in the problem” Tim has 39 pairs of headphones and 13 music players.”
And than you just find the highest common factor, after you find the highest common factor... YOU ARE DONE SOLVING THE PROBLEM!
The highest common factor will be 13
13: 1,13
39:1,3,13,39
ANSWER:13
Hope this helps!
Answer:
13
Step-by-step explanation:
Greatest number of packages Tim can make =
H. C. F of 39 and 13
Factors of 39 = 13 * 3 * 1
Factors of 13 = 13 * 1
H.C.F = 13
Therefore, Greatest number of identical packages Tim can make is 13.
What is the product 6x1,167
Answers
Answer:
7,002
Step-by-step explanation:
The product is the answer of a multiplication problem. You just have to multiply the numbers by using the techniques to solve it. Hope this helps!
An office manager needs to cover the front face of a rectangular box with a label for shipping. The vertices of the face are (–5, 8), (3, 8), (–5, –4), and (3, –4). What is the area, in square inches, of the label needed to cover the face of the box?
96 in2
48 in2
40 in2
20 in2
Answers
The area of rectangle is 96in2 which is option A.
Area of rectangle calculation.
To find the area of the rectangular face, we need to find the length and width of the rectangle, and then multiply them together.
The length of the rectangle is the distance between the points (-5,8) and (3,8), which is 8 - (-4) = 12 inches.
The width of the rectangle is the distance between the points (-5,8) and (-5,-4), which is 3 - (-5) = 8 inches.
Therefore, the area of the rectangular face is 12 x 8 = 96 square inches.
So the answer is 96 in².
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if p(x) = (x - 1) (x + 1), then find the value of p(2) + p(1) - p(0)
Answers
Answer:
4
Step-by-step explanation:
\(p(x) = (x - 1) (x + 1) \\ plug \: x = 2 \: 1 \: 0 \: we \: find: \\ \\ p(2) = (2 - 1) (2 + 1) = (1)(3) = 3 \\ p(1) = (1 - 1) (1 + 1) = (0)(2) = 0 \\ p(0) = (0 - 1) (0 + 1) = ( - 1)(1) = - 1 \\ \\ p(2) + p(1) - p(0) \\ = 3 + 0 - ( - 1) \\ = 3 + 1 \\ = 4\)
Evaluate. 10/1·(−4) Enter your answer in the box.
I’ll give brainliest if its correct on the test! (And if i can figure out how)
Answers
Step-by-step explanation:
10/1(-4)
10(-4)
=-2.5 or 5/-2
Solve for x if x+3.5=4 1/3
Answers
Answer:
x = 5/6
Step-by-step explanation:
x + 3 1/2 = 4 1/3 (converting decimal to fraction)
x + 3 3/6 = 4 2/6 (creating common denominators)
x = 5/6 (removing 3 3/6 from both sides)
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Convert 2 days into months. Round your answer to the nearest hundredth.
Answers
Answer:
0.0657534
Step-by-step explanation:
divide 2 by 30.417
The area of a square mural is 144x2 - 72x + 9. What is the length of one side
of the mural?
Answers
Answer:
-0.25 units
Step-by-step explanation:
144x^2 - 72x + 9 = 0
common factor: 9
16x^2 - 8x + 1 = 0
(4x + 1)^2 = 0
4x +1 = 0
4x = -1
x = -0.25 units
Sandy has 20 books in her library. She brought several books at a yard sale over the weekend. She now has 89 books in her library. How many books did she buy at the yard sale?
Answers
Answer:
109
I wish you luck in your assignments.
answerer it i need the answerers
Answers
Since f(0) for the even function is not equal to f(0) of the odd function, it means that one−one function.
What is the Solution to the piecewise function?
We are given the piecewise function as;;
{n/2 if n is even
f(n) = {3n + 1 if n is odd
Given n/2 when n is even;
f(0) = 0/2 = 0
Given 3n + 1, when n is odd;
3(0) + 1 = 1
Since f(0) for the even function is not equal to f(0) of the odd function, it means that one−one function.
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H(x)=17+x/6 what is h(-18)=
Answers
Answer:
If h(x) = 17 + x/6, then h(-18) will equal to 14.
Step-by-step explanation:
We are given an equation...
h(x) = 17 + x/6
When you see h(x), the x represents the value that will be substituted in the equation. "For example, if you have h(9), then 9 would be your x-value." So, we are given h(-18) which means that -18 will be our x-value for this equation. Now that we know this, let's plug in this number into the equation.
h(x) = 17 + x/6
First, substitute the x-value which is -18.
h(-18) = 17 + (-18/6)
Next, divide -18 by 6.
h(-18) = 17 + (-3)
Since -3 is in front of a plus sign, then the equation would be like subtracting 3 from 17 so we will just replace the plus sign (+) with a minus sign (-).
h(-18) = 17 - 3
Now, subtract 3 from 17.
h(-18) = 14
Finally, you have your answer which is 14.
The value of H(x)=17+x/6 at H(-18) is 14.
What is function?In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range.
given:
H(x)=17+x/6
Now, we have to find the value of the function at x= -18
So, H(-180= 17+ (-18)/6
H(-18)= 17 - 3
H(-18)= 14
hence, the value of H(-18) is 14.
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A 90° rotation about the origin maps APQR to ALMN. Are the
triangles congruent?
Answers
Answer:
No
Step-by-step explanation:
a sample of bacteria is growing at an hourly rate of 14% according to the exponential growth function.the sa
Answers
Answer:
pleasse elaborate more
Step-by-step explanation:
Bound
Figure 2.
Jenny would like to buy a new air conditioner for his home. As seen in Figure 2 above he has
3 types of brands that he can consider. The cash price for Daewoo is RM1,899, Daikin at a
price of RM1,699 and last choice is Mitsubishi at a price of RM1.999. He plans to make 18
monthly instalments, if he pays RM300 as a down payment for the air conditioner that he would
like to buy, find the interest charge for each brand if the interest rate is 4% based on originall
balance if he chooses to buy from Daikin, find the monthly instalment price and instalment
price that he needs to pay.
Answers
if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
How to determine the monthly instalment price and instalment price that Daikin needs to pay.Calculating the loan amount for each brand by subtracting the down payment from the cash price:
Loan amount for Daewoo = RM1,899 - RM300 = RM1,599
Loan amount for Daikin = RM1,699 - RM300 = RM1,399
Loan amount for Mitsubishi = RM1,999 - RM300 = RM1,699
Calculating the interest charge for each brand:
Interest charge for Daewoo = Loan amount for Daewoo * Interest rate = RM1,599 * 0.04 = RM63.96
Interest charge for Daikin = Loan amount for Daikin * Interest rate = RM1,399 * 0.04 = RM55.96
Interest charge for Mitsubishi = Loan amount for Mitsubishi * Interest rate = RM1,699 * 0.04 = RM67.96
To find the monthly installment price, divide the total amount (cash price + interest charge) by the number of monthly installments:
Monthly installment price for Daewoo = (Cash price of Daewoo + Interest charge for Daewoo) / Number of monthly installments = (RM1,899 + RM63.96) / 18 ≈ RM107.22
Monthly installment price for Daikin = (Cash price of Daikin + Interest charge for Daikin) / Number of monthly installments = (RM1,699 + RM55.96) / 18 ≈ RM98.89
Monthly installment price for Mitsubishi = (Cash price of Mitsubishi + Interest charge for Mitsubishi) / Number of monthly installments = (RM1,999 + RM67.96) / 18 ≈ RM116.72
Therefore, if Jenny chooses to buy from Daikin, the monthly installment price would be approximately RM98.89, and the total installment price to be paid would be approximately RM1,779.98 (18 monthly installments * RM98.89).
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Find the value of 3y-4 given that 2y-6=8Simplify your answer as much as possible
Answers
Given:
\(2y-6=8\)is given expression
Required:
We need to find the value of
\(3y-4\)Explanation:
First simplify the given expression
\(\begin{gathered} 2y-6=8 \\ 2y=14 \\ y=7 \end{gathered}\)now put the value of y in reauired
\(3y-4=2*7-4=21-4=17\)Final answer:
Required value is 17
Which is the graph of f(x)=(2/3)x
Answers
Answer:
Here is the desmos graph
Step-by-step explanation:
How to do this problem
Answers
Answer: a. y=3 slope = 0
b. x=-4 slope does not exist
Step-by-step explanation: