You pick a card at random without putting the 1st card back you pick a second card at random what is the probability of picking an 8 and then picking a 5
Answers
Given:
There are four cards numbered
\(5,\text{ }6,\text{ }7,\text{ }8\)Required:
We have to find the probability of picking an 8 and then picking a 5.
Explanation:
The possibility of picking an 8 in the first time is 1 out of the four cards.
Therefore the probability of picking an 8 first is
\(\frac{1}{4}\)Now since you did not put the card back so there are three cards now.
So the possibility of picking a 5 in the second time out of the three cards is 1.
Therefore the probability of picking a 5 in the second time is
\(\frac{1}{3}\)Now we multiply both the probabilities to find the required answer.
Hence the probability of picking an 8 and then a 5 is
\(\frac{1}{4}\times\frac{1}{3}=\frac{1}{12}\)Final answer:
Hence the final answer is
\(\frac{1}{12}\)Related Questions
Simplify each expression using the order of operations.
5 x 2 + 3
Answers
Answer:
PEMDAS it sould be correct 5x2+3 is in order
Step-by-step explanation:
Evaluate the function for x = 2 and x = 6 f(x) = -(x - 2)
Answers
Answer:
f(2) = 0 and f(6) = -4
Step-by-step explanation:
First, find f(x) when x = 2
Plug in 2 as x in the function:
f(x) = -(x - 2)
f(2) = -(2 - 2)
f(2) = -(0)
f(2) = 0
Next, find f(x) when x = 6. Plug in 6 as x in the function:
f(x) = -(x - 2)
f(6) = -(6 - 2)
f(6) = -(4)
f(6) = -4
So, f(2) = 0 and f(6) = -4
A worker is paid $2,350 monthly and has $468 withheld from each monthly paycheck. Which of the following is her annual net salary
Answers
Answer:
Annual net salary = $22,584
Step-by-step explanation:
Given:
Monthly wage = $2,350
Withheld paycheck = $468
Find:
Annual net salary = ?
Computation:
Total net salary = Monthly wage - Withheld paycheck
Total net salary = $2,350 - $468
Total net salary = $1,882
Annual net salary = Total net salary × 12
Annual net salary = $1,882 × 12
Annual net salary = $22,584
Is the event independent or overlapping:
A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
Mutually exclusive or independent:
A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5.
Mutually exclusive or overlapping:
A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that is is a milk chocolate or has no peanuts inside?
Mutually exclusive or independent:
You flip a coin and then roll a fair six sided die. What is the probability the coin lands on heads up and the die shows an even number?
Answers
1. A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?
In this case, the spinner's outcome of landing on region three is independent of landing on region six. Each spin is unrelated to the previous spin, and the outcome of one region does not affect the outcome of the other region. Therefore, the events are independent. The probability of landing on both region three and region six is the product of their individual probabilities: 1/8 * 1/8 = 1/64.
2. A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?
In this scenario, the events are overlapping. A jersey can be both purple and have a number greater than 5 at the same time. Therefore, the probability of it being purple or having a number greater than 5 is the sum of their individual probabilities, minus the probability of the overlapping event (purple jerseys with a number greater than 5). There are 4 purple jerseys out of 10 total jerseys, and there is 1 jersey with a number greater than 5 out of 10. However, there is one jersey that satisfies both conditions (purple and number greater than 5), so we need to subtract it from the sum. So the probability is (4/10 + 1/10) - (1/10) = 4/10 = 2/5.
3. A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?
In this scenario, the events are mutually exclusive. A chocolate cannot be both a milk chocolate and have no peanuts inside at the same time. Therefore, the probability of it being a milk chocolate or having no peanuts inside is the sum of their individual probabilities. There are 6 milk chocolates out of 10 total chocolates, and there are 7 chocolates without peanuts out of 10. So the probability is 6/10 + 7/10 = 13/10, which is greater than 1. However, probabilities cannot exceed 1, so we need to take the maximum value of 1. Therefore, the probability is 1.
4. You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?
In this case, the events are independent. The outcome of the coin flip does not affect the outcome of the die roll. The probability of the coin landing heads up is 1/2, and the probability of the die showing an even number is 1/2. To find the probability of both events occurring, we multiply their individual probabilities: 1/2 * 1/2 = 1/4.
I hope this clarifies the nature of each event. Let me know if you have any further questions!
The first question:
"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"
Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.
To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:
P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.
Therefore, the probability of landing on both region three and region six is 1/64.
The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The second question:
"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"
To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.
The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.
The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.
To find the probability of either event occurring, we add the probabilities together:
P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.
Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.
The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.
--------------------------------------------------------------------------------------------------------------------------
The third question:
"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"
To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.
The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.
The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.
To find the probability of either event occurring, we add the probabilities together:
P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.
Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.
The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.
--------------------------------------------------------------------------------------------------------------------------
The fourth question:
"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"
The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.
The probability of rolling an even number on the die is 3
/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.
To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:
P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.
Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.
The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
employees receive a 10% discount their shopping at Tesco stores. calculate the weekly benefit to an employee who on average spend£14 each weekday and £22 on each day at the weekend.
Answers
The weekly benefit of the employees is A = £ 11.40
Given data ,
Let's calculate the weekly benefit for an employee who spends an average of £14 each weekday and £22 on each day of the weekend, considering the 10% discount they receive at Tesco stores.
First, we'll calculate the total amount spent on weekdays and weekends separately:
Amount spent on weekdays = £14/day x 5 days/week = £70/week
Amount spent on weekends = £22/day x 2 days/week = £44/week
Next, we'll calculate the total amount spent in a week by adding the amounts spent on weekdays and weekends:
On simplifying the equation , we get
Total amount spent in a week = £70 + £44 = £114
Now, we'll calculate the 10% discount on the total amount spent:
10% of £114 = £11.40
Hence , the weekly benefit to the employee who receives a 10% discount on their shopping at Tesco stores would be £11.40
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What is the monthly payment of a financed amount the $14452 with an APR of 8.9% for 5 years and the monthly payment is $100 for every $2.07
Answers
Answer:
$299.16
Step-by-step explanation:
Financed amount = $14452
APR = 8.9%
Period / time = 5 years
monthly payment = $100 for every $2.07
To calculate the monthly payment of a financed amount we multiply the financed amount by the ratio of the given amount paid per $100
The monthly payment would be = 14452 * 2.07/100 = 14452 * 0.0207
= $299.16 approximately
therefore the monthly payment of a financed amount of $14452 is equal to $299.16
Find slope of the line that passes through
(1, -4) and (-4, -6)
Answers
Answer: 2/5
Step-by-step explanation:
i need help please giving brainlest which statement accurately describes the scatter plot
Answers
Answer:
I think it's B. but I'm not too sure. sorry if I'm wrong
what is 6 5/8 + 4 3/4 in simplest terms
Answers
Answer: To find the sum of 6 5/8 and 4 3/4, you need to express the two fractions with a common denominator. One way to do this is to express both fractions with a denominator of 8. To express 6 5/8 with a denominator of 8, you can rewrite it as 6 + 5/8, and to express 4 3/4 with a denominator of 8, you can rewrite it as 4 + 3/4. When you add these two fractions, you get:
6 + 5/8 + 4 + 3/4
= 10 + 8/8
= 10 + 1
= 11 1/8
So the sum of 6 5/8 and 4 3/4 is 11 1/8. This fraction is already in simplest form, since the numerator and denominator are relatively prime (i.e., have no common factors other than 1).
Answer:
\(\frac{91}{8}\)
Step-by-step explanation:
so your question is given in mixed number
\(6\frac{5}{8} + 4\frac{3}{4}\)
now simply multiply 6 with denominator and then add 5 to it . In denominator keep 8 as it is.Follow the same process for another term as well.
= \(\frac{6*8+5}{8}\) +\(\frac{4*4+3}{4}\)
=\(\frac{53}{8}\) + \(\frac{19}{4}\)
now take LCM
=\(\frac{53*1 +19*2}{8}\)
=\(\frac{53+38}{8}\)
=\(\frac{91}{8}\)
After this if it any cancelation can be done then do cancel in denominator and numerator but here we cannot cancel so your final answer is \(\frac{91}{8}\)
PLEASE HELP ME
The function f(x) = -2(4)^x+1 +140
represents the number of tokens a child has x hours after arriving at an arcade.
What is the practical domain and range of the function?
If necessary, round to the nearest hundredth.
The practical domain of the situation is ?
The practical range of the situation is ?
PLEASE SEE PHOTO FOR FUNCTION
Answers
The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).
The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.
To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.
For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.
Therefore, the practical domain of the situation is x ≥ 0.
For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.
Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.
Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).
To summarize:
- The practical domain of the situation is x ≥ 0.
- The practical range of the situation is [140, ∞).
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true or false? multiplying the parent linear function by -1 results in a reflection in the x-axis
Answers
Let's determine if multiplying the parent linear function by -1 results in a results in a reflection in the x-axis.
A reflection over the x-axis means the line is reflected over the horizontal axis.
When a linear function is multiplied by -1, the line will be reflected over the x-axis.
Take the function as an example:
y = 5x + 1
Here, we have the point:
(x, y) ==> (1, 6)
When the function is multiplied by -1, we have:
y = -5x - 1
Here, we now have the point:
(x, y) ==> (1, -6)
By applying the reflection rule for a reflection over the x-axis:
(x, y) ==> (x, -y)
We can say that multiplying the parent function by -1 results in a reflection in the x-axis.
ANSWER:
True
2/3 *3/4 is equal or greater or less than 3/4
Answers
Answer:
Less than
Step-by-step explanation:
2/3*3/4=6/12. 6/12=1/2. 1/2=2/4. 2/4 is less than 3/4.
Hope it helps!
Answer correctly and. I will give Brainly
Answers
Answer:
5
Step-by-step explanation:
since its isosceles AB = BC
3x - 4 = 5x - 10
2x = 6
x = 3
AB = 3(3) - 4
= 9 - 4
= 5
A jewelry store marks up the price of bracelets they purchase at $30.00 each by 75%. What is the markup and new price of each bracelet?
Answers
30x2=60
30/4=7.5
7.5x3=22.5
22.50+30= 52.50
5 3/4 as an improper fraction
Answers
Answer:
23/4
Step-by-step explanation:
Answer:
A mixed number is an addition of its whole and fractional parts.
\(5 \frac{3}{4} \)
Add:
\(5 \: and \: \frac{3}{4} \)
To write 5 as a fraction with a common denominator, multiply by
\( \frac{4}{4} \)
Combine:
\(5 \: and \: \frac{4}{4} \)
Combine the numerators over the common denominator.
\( \frac{5.4 + 3}{4} \)
Simplify the numerator.
Multiply 5 by 4.
Add 20 and 3.
\( \frac{23}{4} \)
Step-by-step explanation:
Thanks!!!!!!
A drone flying over a field of corn identifies a dry area. The coordinates of the vertices of the area are shown. To what coordinates should the portable irrigation system be sent to water the dry area? Explain your reasoning.
Answers
The coordinates to which the portable irrigation system should be sent to water the area are:
(495.75, 672).
Where to send the portable irrigation system?The portable irrigation system should be sent right to the middle of the dry area given by the rectangle at the end of the answer.
Hence the coordinates are given as follows:
x-coordinate: Mean of the x-coordinates of x = 56, x = 144, x = 888, x = 895.y-coordinate: Mean of the y-coordinates of y = 289, y = 332, y = 1012, y = 1055.Hence the x-coordinate of the point to which the system should be sent is:
x = (56 + 144 + 888 + 895)/4 = 495.75.
(the mean is given by the sum of the observations divided by the number of observations).
The y-coordinate of the point to which the system should be sent is:
y = (289 + 332 + 1012 + 1055)/4 = 672.
Missing InformationThe area is given by the image at the end of the answer.
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One month Milan rented 6 movies and 5 video games for a total of $50. The next month he rented 2 movies and 3 video games for a total of $24. Find the rental cost for each movie and each video game.
Answers
Given :
The cost of rent 6 movies and 5 video games is 50 dollar.
The cost of rent 2 movies and 3 video games is 24 dollar.
Explanation :
Let the rental cost of movies be denoted as M.
Let the rental cost of video games be denoted as V.
Then the equation formed from the given data is
\(\begin{gathered} 6M+5V=50\ldots\ldots\ldots\ldots\ldots\ldots\ldots1 \\ 2M+3V=24\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots2 \end{gathered}\)Solve the following equations by elimination method ,
Multiply by 3 in equation 2.
\(6M+9V=72\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots\ldots..3\)Now solve the equation 1 and 3 and find value of M and V.
\(\begin{gathered} (6M+5V-50)-(6M+9V-72)=0 \\ 5V-9V-50+72=0 \\ -4V=-22 \\ V=5.5 \end{gathered}\)Now substitute the value of V in the equation 1 to find M.
\(\begin{gathered} 6M+5\times5.5=50 \\ 6M=50-27.5 \\ M=\frac{22.5}{6} \\ M=3.75 \end{gathered}\)Answer:
Hence the rental cost of each movie is 3.75 dollar and rental cost of each video games is 5.5 dollar.
can someone please answer because I need to know now !
Answers
Answer:
its option 2 because the y values don't repeat
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
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find the radius to the nearest hundredth, given v=pi r ^2 h
a) r = 6.86 cm
b) r = 12.17 cm
c) r = 5.72
d) r = 47.11 cm
Answers
Explanation: Radius equals volume divided by the height times pi squared. First multiply 3.14, or pi, by 9, which is 28.26. Next, divide 1332 by 28.26 and get around 47.13. Square the answer and get around 6.86 cm.
70
Tommy currently has a cell phone plane for text messaging with Phone-Phriends which charges $0.20 per text message. Tommy is considering switching to
an unlimited plan which costs $49 per month. How many messages each month must Tommy send for it to be cost effective to switch to the unlimited
plan?
Answers
Answer:
49÷0.20= 245
He has to be able to have a number of text each month to be able to switch so 0.20 for each text he sends each month so you have to divide from 49.
There are 12million children in the UK. If it took Santa 3 seconds to visit each child when delivering presents, how many hours would
Answers
The number of hours it will take Santa to visit the whole children is = 10,000hours
The total number of children in UK is = 12million
That is = 12,000,000.
It took Santa 3 seconds to visit each child. That is,
1 child = 3 seconds
Therefore 12,000,000 children = x seconds
x = 12,000,000 × 3 seconds
x = 36,000,000 seconds.
But 3,600 seconds = 1 hour
36,000,000 seconds = x
x = 36,000,000/3,600
x = 10,000 hours.
Therefore, the number of hours it will take Santa to visit the whole children is = 10,000 hours.
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3a + 2b - 8a + b
Please answer ASAP!!
Answers
Answer:
-5a + 3b
3a+2b−8a+b
=3a + 2b + (−8a) + b
Combine Like Terms:
=3a + 2b + (−8a) +b
=(3a+−8a)+(2b+b)
=−5a+3b
When mixing paint at the local hardware store, the mixture has to have 3 cups of color for every 2 gallons of paint. If a customer ordered 10 gallons of blue paint, how many cups of blue paint is needed?
Answers
2 more than n is the quotient of n and 6
Answers
Answer:
6n+2
Step-by-step explanation:
100 points will mark brainliest
Answers
Answer:
A is the answer
Step-by-step explanation:
if its wrong than its C
Giving brainiest if you get it Right
Answers
Answer:
b or d
Step-by-step explanation:
Answer: A.
Step-by-step explanation:
Please answer the attached question
Answers
Answer:
Option A.
Step-by-step explanation:
Let x = 2 + 8i and xy = –2 + 26i. What is y?
Answer: 3+i
Answers
Answer:
3 + i
Step-by-step explanation:
The solution for the complex function is equal to y = 3 + i.
What is a complex function?The function which is made up of the real numbers, as well as imaginary numbers, are called complex numbers these numbers are represented by a +ib form where the first part is the real part and the second part is the imaginary form.
The given complex functions are x = 2 + 8i and xy is -2+ 26i. The value of y will be calculated as below:-
xy = -2+ 26i.
y = ( -2+ 26i ) / x
y = ( -2+ 26i ) / ( 2 + 8i )
The value of the function will be calculated by rationalizing the function. When p and q are integers and q is not equal to zero, a result is a rational number, which has the form p/q. This ratio is between two integers.
The fundamental distinction between a fraction and a rational number is that fractions are always positive while rational numbers can be either positive or negative.
\(y =\dfrac{-2+26i}{2+8i} = \dfrac{-1+3i}{1+4i}\)
\(y =\dfrac{-1+3i}{1+4i}\times \dfrac{1-4i}{1-4i}\)
\(y = \dfrac{-1+4i+13i+52}{1+16}\)
\(y = \dfrac{17i+51}{17}\)
y = 3+i
Therefore, the solution for the complex function is equal to y = 3 + i.
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Joe Harris has scored 102 points
on 3-pointers so far this season. He's trying to
improve on his best season when hescored 303
points on 3-point baskets. Write an inequality to
help find how many 3-point baskets he would
need to make in order to break his record.
Answers
Answer:
Just give me the 5
Step-by-step explanation:
Question in the pic, please explain your answer
Answers
The statement translated to an algebra equation will give the value of the unknown number w = 11/5
What is algebra?Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.
Let us represent the unknown number with the letter w so that the statement can be written as the equation:
5w - 8 = 3
add 8 to both sides
5w - 8 + 8 = 3 + 8
5w = 11
divide through by 5
5w/5 = 11/5
w = 11/5
Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5
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