three cards are chosen at random from a standard -card deck. what is the probability that they are not all the same color?
Answers
The probability that three cards chosen at random from a standard 52-card deck that are not all the same color is 3/4.
Total number of combinations of three cards: There are 52 choose 3 = 22,100 ways to choose three cards from a standard deck of 52 cards.
Number of combinations that are not all the same color: There are two possibilities for the colors of the three cards:
a. Two red cards and one black card: There are 26 choose 2 ways to choose two red cards and 26 choose 1 ways to choose one black card, for a total of (26 choose 2) * (26 choose 1) = 325 * 26 = 8,450 combinations.
b. Two black cards and one red card: There are 26 choose 2 ways to choose two black cards and 26 choose 1 ways to choose one red card, for a total of (26 choose 2) * (26 choose 1) = 325 * 26 = 8,450 combinations.
The total number of combinations that are not all the same color is 8,450 + 8,450 = 16,900.
The probability that three cards chosen at random are not all the same color is:
P(not all the same color) = (number of combinations that are not all the same color) / (total number of combinations of three cards) = 16,900 / 22,100 = 3/4.
Therefore, the probability that three cards chosen at random from a standard 52-card deck are not all the same color is 3/4.
To learn more about probability click on,
https://brainly.com/question/30144514
#SPJ4
Related Questions
What theorem explains why ∠4 ≅ ∠8?
Which angle pairs are same-side interior angles? List all angle pairs.
Answers
The theorem that explains why ∠4 ≅ ∠8 is the Alternate Interior Angles Theorem. The same side interior angles pair are ∠3 and ∠5, and ∠4 and ∠8.
Alternate Interior Angles theorem states that if two parallel lines are intersected by a transversal, then the alternate interior angles formed are congruent.
The same-side interior angles are the angles that are on the same side of the transversal and inside the two parallel lines. In the given diagram, the same-side interior angle pairs are ∠3 and ∠5, and ∠4 and ∠8.
All the angle pairs formed by the intersection of the two parallel lines and the transversal are
Corresponding angles are ∠1 and ∠5, ∠2 and ∠6, ∠3 and ∠7, ∠4 and ∠8
Alternate interior angles are ∠3 and ∠5, ∠4 and ∠8
Alternate exterior angles are ∠1 and ∠7, ∠2 and ∠6
Vertical angles are ∠3 and ∠4, ∠5 and ∠6, ∠1 and ∠2, ∠7 and ∠8
To know more about Alternate Interior Angles here
https://brainly.com/question/28380652
#SPJ1
Acellus
The probability distribution for a
random variable x is given in the table.
- 10
-5
0
5
10
15
20
Probability
.20
.15
.05
1
.25
.1
.15
Find the probability that -5
Answers
Answer:
Step-by-step explanation:
From the above question, we are given a table with various values and we are asked to find the probability where:
-5≤ x ≤ 5
This means we are to find
x ≤ 5 and x ≥ -5
Answer:
The answer is 0.3
Step-by-step explanation:
Trust me
What is score-based generative modeling through stochastic differential equations?
Answers
Score-based generative modeling through SDEs is an active area of research, and there are many variations and extensions of the method that are being developed to improve its performance and scalability.
In this method, the goal is to learn a set of SDEs that can generate samples that are similar to the true data distribution. The SDEs are typically specified as a system of coupled differential equations that describe the evolution of the system over time. The parameters of the SDEs are learned by maximizing the likelihood of the data under the model, which can be achieved by minimizing a loss function that is derived from the score function.
One advantage of this approach is that it can be used to model complex, high-dimensional data distributions, such as images or videos, that are difficult to model using traditional parametric methods. Another advantage is that it can handle missing data or irregularly sampled data, which can be common in many real-world datasets.
To know more about differential equation,
https://brainly.com/question/14620493
#SPJ11
Robert had $58.62 in his bank account. He got paid $142.76. He then bought a new jacket for $63.76. He also bought 2 new movies for $6.99 each. He then babysat for his sister and was paid $12. How much money does Robert have now?
Answers
Robert then decides to buy a new jacket that costs $63.76 which means he made a withdrawal from his account of $63.76
So you would now subtract the total in his bank account from the cost of the new jacket. This leaves him with $137.62 left in his bank account.
Next Robert bought two new movies, which each cost $6.99 and so because he bought two movies, you multiple $6.99 by two. This comes out to $13.98 which is the amount Robert paired to purchase the two new movies. Robert withdrew the $13.98 from his bank account, leaving him with $123.64 left in his bank account.
Finally, Robert is paid $12 for babysitting his younger sister. He adds this to his bank account, which means his bank account total is $135.64
This means that Robert now has $135.64 in his bank account.
Hope this helps :)
The ratio of boys and girls in a class is 3:5. There are 32 students in the class.
How many students are girls?
Answers
Using ratios, we can find that the number of girls in the class are 20.
What are ratios?If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio. A proportion is an equation that equalises two ratios.
For illustration, the ratio may be expressed as follows: 1: 3 in the case of 1 boy and 3 girls (for every one boy there are 3 girls) There are 3 out of 4 girls and 1 out of 4 guys.
Now in the question, total students in class = 32.
The ratio between the boys and girls is 3:5.
So, total parts from the ratio = 3+5=8
Now 5/8 students in the class are girls.
= 5/8 × 32
= 5 × 4
= 20.
Therefore, the number of girls in the class are 20.
To know more about ratios, visit:
https://brainly.com/question/13419413
#SPJ1
5 less than 4 times a number is the same as 9 times the number.
a. x = -1
b. x = 1
c. x = -2
Answers
Hi, there.
_____
"5 less than 4 times a number" 4x-5
"is the same as" =
"9 times the number" 9x
Putting the parts together,
\(\boldsymbol{4x-5=9x}\)
Solving the two step equation
\(\boldsymbol{4x-9x=5}\)
\(\boldsymbol{-5x=5}\)
Divide both sides by -5
\(\boldsymbol{x=-1}\)
So the A answer checks.
Hope the answer - and explanation - made sense,
happy studying!!
how many independent variables are in a 2x3x2 factorial design
Answers
A 2x3x2 factorial design has three independent variables. What is a factorial design? A factorial design is an experimental design that studies the impact of two or more independent variables on a dependent variable.
The notation of a factorial design specifies how many independent variables are used and how many levels each independent variable has. In a 2x3x2 factorial design, there are three independent variables, with the first variable having two levels, the second variable having three levels, and the third variable having two levels.
The number of treatments or conditions required to create all feasible combinations of the independent variables is equal to the total number of cells in the design matrix, which can be computed as the product of the levels for each factor.
In this case, the number of cells would be 2x3x2=12.Therefore, a 2x3x2 factorial design has three independent variables and 12 treatment groups..
To Know more about independent variables Visit:
https://brainly.com/question/31575485
#SPJ11
Buying a Car Scenario
Jess wants to move out of her apartment she shares with Nick, Winston and Schmidt (and sometimes Cece and Coach) and also needs a new car, so she has some important decisions to make.
A. Jess found a car she wants for $17,000. She has excellent credit so they offer her a special deal: $1,500 cash back OR 0% financing. If she took the $1,500 cash back deal then her loan interest rate would be 3% from the bank. Or she doesn't take the cash back and gets a 0% interest rate on her loan from the dealership. If she plans on financing the car for 4 years (or 48 months) which deal is better for Jess and why? (Assume the cash back offer is used to lower the price of the car.)
B. Nick finds Jess a different car at another dealership for $15,000 that she likes better. The interest rate is 6%. What would her monthly payment be if she financed the loan for 3 years (36 months)? What would her monthly payments be if she financed the loan for 5 years (60 months)? How much more in interest would she pay in total if she financed the loan for 5 years over 3 years? Which should she chose and why (how would the decision affect the rest of her budgeting decisions)?
please help
Answers
For Jess, it would be better to take the 0% financing deal instead of the $1,500 cash back deal if she plans on financing the car for 4 years (or 48 months). This is because if she takes the cash back offer, her loan interest rate would be 3% from the bank which would make her monthly payment $383.57 and her total interest paid over 4 years $1,322.96 ¹. However, if she doesn't take the cash back and gets a 0% interest rate on her loan from the dealership, her monthly payment would be $354.17 and she wouldn't have to pay any interest over 4 years ¹.
For Jess's second scenario, if she financed the loan for 3 years (36 months) at an interest rate of 6%, her monthly payment would be $458.72 ². If she financed the loan for 5 years (60 months) at an interest rate of 6%, her monthly payments would be $290.78 ². If she financed the loan for 5 years instead of 3 years, she would pay $2,524.80 more in total interest over the life of the loan ². Jess should choose to finance the loan for 3 years instead of 5 years because it will save her money in total interest paid over time ². However, this decision will affect her budgeting decisions as well since she will have to make higher monthly payments for a shorter period of time which may affect other expenses in her budget.Source:
Should You Take A Rebate Or 0 Percent Financing? | Bankrate.0 APR Guide: What You Need To Know Before Financing a Car.Low-Interest Financing vs. Cash Back | U.S. News.At the grocery, peaches cost $2.60 per pound. Grace bought 2.3 pounds of peaches.
Answers
hope this helps! :)
Find two consecutive even integers such that the sum of the smaller and 3 times the larger is 330
I am so stuck please any one help
Answers
Answer:
The 2 numbers = 81 and 83
Step-by-step explanation:
As, one number = x
The other, because it's an even number and consecutive = x + 2
So the larger numbef here is x + 2
And they are saying 3 times x + 2 plus x = 330
So let's solve!
3 times x + 2 = 3(x+2) = 3x + 6
So we will add it to x = (3x + 6) +(x) = 4x + 6
So they are saying the sum of them will be 330
So, 4x + 6 = 330
4x = 330 - 6
4x = 324
x = 324/4
x = 81
So x is the first number = 81
And the second is x + 2 = 81 + 2 = 83
So the 2 numbers are 81, 83
Lets check!
3 times the bigger number = 83 x 3 = 249
We will add it to 81 and we will get 330
So, 249 + 81 = 330
So the answer is right
Each year Wenford Hospital records how long patients wait to be treated in the Accident
and Emergency department.
In 2015 patients waited 11% less time than in 2014.
In 2015 the average time patients waited was 68 minutes.
(a) Work out the average time patients waited in 2014.
Give your answer to the nearest minute.
Answers
The average time patients waited in 2014 was approximately 76 minutes, calculated by dividing the 2015 waiting time by 0.89 as patients waited 11% less time in 2015.
Let's call the average time patients waited in 2014 as per Wenford Hospital records "x" (in minutes). According to the problem statement, patients waited 11% less time in 2015 compared to 2014, so,
0.89x = 68
Solving for x,
x = 68 / 0.89
x ≈ 76.4
Therefore, the average time patients waited in 2014 was approximately 76 minutes (rounded to the nearest minute).
To know more about average, visit,
https://brainly.com/question/130657
#SPJ4
Triangle XYZ has vertices X(1, 3), Y(0, 0), and Z(–1, 2). The image of triangle XYZ after a rotation has vertices
X'(–3, 1), Y'(0, 0), and Z'(–2, –1). Which rule describes the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°
Answers
Answer:
ur answer is.. 90 degree
Step-by-step explanation:
Triangle ABC was transformed using the rule (x, y) -> (-y, x). The vertices of the triangle are shown.
Which best describes the transformation?
would be a R0, 90 degree
i jst took the quiz....
Answer:
90 degrees
Step-by-step explanation:
The diagonals in a kite __________.
a) bisect each other
b) are perpendicular
c) are congruent
⇒
Answers
here is a scatterplot of the data for 13 colonies of sparrowhawksthe value for the data set is 0.5602. what is the correlation? use 4 decimal places.
Answers
The correlation between the two variables in the data set for 13 colonies of sparrowhawks is 0.5602.
This means that there is a moderate positive correlation between the two variables, indicating that when one variable increases, the other variable is likely to increase as well.
To calculate the correlation coefficient, we can use Pearson’s correlation coefficient equation:
r = (n * Σxiyi - Σxi * Σyi) / √[(n * Σxi2 - (Σxi)2) * (n * Σyi2 - (Σyi)2)]
Where: n = the number of observations Σxi = the sum of all x-values Σyi = the sum of all y-values Σxiyi = the sum of the products of each x-value and y-value Σxi2 = the sum of the squares of each x-value Σyi2 = the sum of the squares of each y-value
Plugging in the values for our data set, we get:
r = (13 * 0.5602 - (13 * 0.5602)) / √[(13 * 0.2532 - (13)2) * (13 * 0.2532 - (13)2)]
r = 0.5602
This means that there is a moderate positive correlation between the two variables in the data set, indicating that when one variable increases, the other variable is likely to increase as well.
Learn more about correlation :
https://brainly.com/question/4219149
#SPJ4
The table above shows some values of the linear function F. Which of the following defines F? A) f(n) = n-3 B) f(n) = 2n-4 C) f(n) = 3n-5 D) f(n) = 4n-6
Answers
Answer:
3n - 5
Step-by-step explanation:
f(n) = 3n - 5. Works for all of them
In 1960, the average cost of a gallon of milk was $0.49. In 1985, the average cost of a gallon of milk was $2.26. Which of the following represents how to calculate the percent increase in the average cost of a gallon of milk from 1960 to 1985.
A
2.26−0.490.49
B
2.26+0.490.49
C
2.26−0.492.26
D
2.26+0.492.26
which one
Answers
Answer: its C
Step-by-step explanation:
HOPE THIS HELPS
l = [?] ft
9 ft
4ft
PLEASE HELP MEMEMEMEME
![l = [?] ft9 ft4ftPLEASE HELP MEMEMEMEME](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/Ziuw24pcx3neMWY8i7kFigk4DiBA4BLK.png)
Answers
Steven answered 76% of the questions correctly on a test. Enter the percent of the questions Steven did not answer correctly
Answers
If the zero conditional mean assumption holds, we can give our coefficients a causal interpretation. True False
Answers
True. If the zero conditional mean assumption holds, the coefficients can be given a causal interpretation.
True. If the zero conditional mean assumption, also known as the exogeneity assumption or the assumption of no omitted variables bias, holds in a regression model, then the coefficients can be given a causal interpretation.
The zero conditional mean assumption states that the error term in the regression model has an expected value of zero given the values of the independent variables. This assumption is important for establishing causality because it implies that there is no systematic relationship between the error term and the independent variables.
When this assumption is satisfied, we can interpret the coefficients as representing the causal effect of the independent variables on the dependent variable, holding other factors constant. However, if the zero conditional mean assumption is violated, the coefficients may be biased and cannot be interpreted causally.
To learn more about “variable” refer to the https://brainly.com/question/28248724
#SPJ11
s=6(x+3)
helpppppppppppppppppppp
Answers
x = -3
Step-by-step explanation:
6x + 18 = 0
6x = -18
x = -3
Determine whether the binomial (x-4) is a factor of the polynomial p(x) = 5x³ - 20x² - 5x+ 20-
Answers
Step-by-step explanation:
IF x-4 is a factor, then putting in x = + 4 will make the polynomial = 0
5 ( 4^3) - 20 (4^2) - 5(4) + 20 = 0 Yes...it is a factor
\(x - 4 = 0 \\ x = 4 \\ \)
substitute value of x in the function to see if it equals to zero , if not it won't be a factor of the function
\(5 {x}^{3} - 20 {x}^{2} - 5x + 20 = 0 \\ 5(4) ^{3} - 20( {4})^{2} - 5(4) + 20 = 0 \\ 5(64) - 20(16) - 20 + 20 = 0 \\ 320 - 320 - 20 + 20 = 0 \\ 0 = 0\)
so (x-4) is a factor for the function
Hi can someone please help me with this question asap
Answers
Answer:
the missing area is 10
Step-by-step explanation:
you can solve this by using pythagorean therom
If the forecast for two consecutive periods is 1,500 and 1,400 and the actual demand is 1,200 and 1,500 , then the mean absolute deviation is 1) 500 2) 700 3) 200 4) 100
Answers
200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
How to calculate the mean absolute deviation
The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.
Forecasted values are as follows: 1,500 and 1,400
Values in actuality: 1,200 and 1,500
Absolute differences:
|1,500 - 1,200| = 300
|1,400 - 1,500| = 100
Now, we calculate the MAD:
MAD = (300 + 100) / 2 = 400 / 2 = 200
Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
Learn more about mean absolute here :brainly.com/question/29545538
#SPJ4
Jemima has to post 2 books to her sister. She weighs them on the kitchen
scales, which gives readings correct to the nearest 5g.
"Algebra made Easy" is weighed at 450g.
"Terrible Trigonometry" is weighed at 95g.
She packs them using wrapping that is weighed at 120g.
The post office charges 79p for the first 510g of any parcel, and then 11p for
each extra 40g.
Find the maximum that Jemima might have to pay to post the parcel.
Pls answer it’s urgent I’ll give brainliest
Answers
Answer:
All three products were already rounded to the nearest 5g.
"Algebra made Easy" 450g
“Terrible Trigonometry" 95g
Wrapping 120g
867.107844 Is the maximum Jemima might have to pay to post the parcel.
Step-by-step explanation:
510 divided by 79 = 6.455g per 510g
665g total of products so divide 665 by 510 now to get 1.30392157g per weight which brings us to the maximum total of 867.107844
I WILL GIVE OUT BRAINLIEST FOR CORRECT ANSWERS PLEASE HELP ME
Answers
Answer:
C) 32ft
Step-by-step explanation:
2x+2= 2(1)+2= 4
3x+4= 3(1)+4= 7
2x+2= 2(1)+2= 4
5x+1= 5(1)+1= 6
2x+2= 2(1)+2= 4
3x+4= 3(1)+4= 7
4+4+4+6+7+7= 31
find the mean, median and mode of these numbers: 9, 10, 9, 9, 11, 9, 10, 9, 9, 10 round all answers to the hundreth place.
Answers
The mean median mode of the data 9,10,9,9,11,9,10,9,9,10 is
Mean =9.5
Median = 11 or 9
Mode is 9
Given that,
The data is 9,10,9,9,11,9,10,9,9,10
The data's mean, median, and mode must be determined.
We know that,
The arithmetic mean of the provided data is another name for mean. If the data are grouped and sorted in ascending order, the median is the value that falls in the middle of the set of grouped data. The value that dominates the data is known as the mode. The Mean, Median, and Mode formulas are described independently for the group of data in the sections that follow.
The data is 9,10,9,9,11,9,10,9,9,10
Mean = 9+10+9+9+11+9+10+9+9+10/10 =95/10=9.5
Median = 11 or 9
Mode is 9
Therefore, The mean median mode of the data 9,10,9,9,11,9,10,9,9,10 is
Mean =9.5
Median = 11 or 9
Mode is 9
To learn more about mode visit: https://brainly.com/question/15323584
#SPJ4
Noa hopes to pick the winning ticket during her math class’s raffle. The student who picks the ticket with a true statement will win. Which is the winning ticket?
4 (x minus 5) = 35 is equivalent to 4 x = 40
8 (x minus 7) = 35 is equivalent to 8 x = 28.
2 (x minus 6) = negative 35 is equivalent to 2 x = negative 23
9 (x minus 6) = negative 35 is equivalent to 9 x = negative 29
Answers
Answer:
2 (x minus 6) = negative 35 is equivelant to 2 x = negative 23
Step-by-step explanation:
You need to work out the options you are given and see which statement comes out to be true. In this case the question is not as relevant.
Answer:
c
Step-by-step explanation:
Bridgette and Zane are repelling down a large, steep cliff. They slowly descend 22 1/2 feet every hour. How far will they have descended after 3 1/4 hours?
Answers
Bridgette and Zane descended \(584\frac{1}{8}\) feet on steep cliff with the given speed and time.
Given that, rate of descending = \(22\frac{1}{2}\) feet per hour and time = \(3\frac{1}{4}\) hours.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
By using speed formula Speed = Distance/Time
Here, speed = 45/2 feet per hour and time =13/4 hour
Now, Distance=Speed × Time
= 45/2 × 13/4
= 585/8
= \(584\frac{1}{8}\) feet
Hence, Bridgette and Zane descended \(584\frac{1}{8}\) feet on steep cliff with the given speed and time.
To learn more about the speed, distance, and time visit:
brainly.com/question/4978052.
#SPJ1
if angles HGF is 89 degrees then angles HGI equals____
Answers
The line HG divides the line FI at point G. That means two angles have been formed which are, angle HGF and HGI.
Sum of angles on a straight line equals 180. If angle HGF and angle HGI both lie on the same line (FI), it means then, that;
HGF + HGI = 180
89 + HGI = 180
Subtract 89 from both sides of the equation and you have
HGI = 91
y is inversely proportional to x.
When y = 6, x = 8
a) Work out an equation connecting y and x.
Answers
\(\qquad \qquad \textit{inverse proportional variation} \\\\ \textit{\underline{y} varies inversely with \underline{x}} ~\hspace{6em} \stackrel{\textit{constant of variation}}{y=\cfrac{\stackrel{\downarrow }{k}}{x}~\hfill } \\\\ \textit{\underline{x} varies inversely with }\underline{z^5} ~\hspace{5.5em} \stackrel{\textit{constant of variation}}{x=\cfrac{\stackrel{\downarrow }{k}}{z^5}~\hfill } \\\\[-0.35em] ~\dotfill\)
\(\stackrel{\textit{y varies inversely with x}}{y = \cfrac{k}{x}}\hspace{5em}\textit{we also know that} \begin{cases} x=8\\ y=6 \end{cases} \\\\\\ 6=\cfrac{k}{8}\implies 48=k\hspace{10em}\boxed{y=\cfrac{48}{x}}\)