Answer:
4/75 or 0.05333
Step-by-step explanation:
3+4+2+6=15 elements
2/15= probability to choose a black
6/15 = probability to choose a yellow cube
Probability to choose a black AND (*) a yellow = 2/15*6/15=12/225=4/75 or 0.05333
a) Two cards are dealt off a well-shuffled deck. You win $1 if the two cards are
of different suits. Find the probability of your winning?
b) A coin is tossed 5 times. What is the probability that the first toss is a head
or exactly 2 out of the five tosses are heads?
c) In a shuffled 52-card deck, what is the probability that neither the top nor
the bottom card is a heart?
d) A bag contains 20 red marbles, 20 green marbles and 20 blue marbles. You
reach in and grab 15 marbles. What is the probability that they are all the
same colour?
Answer:
A.) 0.7647 b.) 13/ 16 C.) 0.9412 D.) 8.743 * 10^-10
Step-by-step explanation:
A)
Number of cards per suit = 13
Nunber of suits = 4
Probability = required outcome / Total possible outcomes
P(1) = probability of picking a card from a certain suit
P(1) = 13 / 52
Hence, probability that 2nd card will be from a suit different from the first :
Total possible outcomes = (52 - 1) = 51
Required outcomes = (13 * 3) = 39
= 39 / 51
= 0.7647
B.)
First toss being head :
Required outcome = H = 1
Total possible outcomes = T or H = 2
P(H) = 1/ 2
For 5 tosses
Total possible outcomes = 2^n = 2^5 = 32
Exactly 2 heads = 10
P(exactly 2 heads) = 10/32 = 5/16
1/2 + 5/16 = (8 + 5) / 16 = 13/16
c)
1 - P(both top and bottom are hearts)
Number of hearts = 13 ; number of cards = 52
P(both are hearts) = 13/52 * 12/51 = 0.05882
1 - 0.05882
= 0.94117
= 0.9412
d)
Either all marbles are red OR all marbles are green OR all marbles are blue
Total number of marbles = (20 + 20 + 20) = 60
Probability that all 15 marbles are of a certain color :
(20/60 * 19/59 * 18/58 * 17/57 * 16/56 * 15/55 * 14/54 * 13/53 * 12/52 * 11/51 * 10/50 * 9/49 * 8/48 * 7/47 * 6/46)
(2.9146E−10) + (2.9146E−10) + (2.9146E−10)
= 8.7438E−10
= 8.743 * 10^-10
Kaden, Keith, and Kipp compete in a series of daily 3-way races. For each race, the probability that Kaden wins is 1/6, the probability that Keith wins is 1/2, and the probability that Kipp wins is 1/3. On a day that Kaden doesn't win, what is the probability that Keith beats Kipp?
9514 1404 393
Answer:
3/5
Step-by-step explanation:
Let a, b, c represent the probability of a win by Kaden, Keith, and Kipp, respectively.
P(bc' | a') = P(a'bc')/P(a')
P(bc' | a') = (1/2)/(1 -1/6) = (3/6)/(5/6) = 3/5
The probability is 3/5 that Keith beats Kipp when Kaden doesn't win.
whats the answer to
(504-300+800) x 100 / 3?
Answer:
[1] x - 6y = 3
[2] x + 2y = 5
Graphic Representation of the Equations :
-6y + x = 3 2y + x = 5
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -2y + 5
// Plug this in for variable x in equation [1]
[1] (-2y+5) - 6y = 3
[1] - 8y = -2
// Solve equation [1] for the variable y
[1] 8y = 2
[1] y = 1/4
// By now we know this much :
x = -2y+5
y = 1/4
// Use the y value to solve for x
x = -2(1/4)+5 = 9/2
Solution :
{x,y} = {9/2,1/4}
Answer:
33433.2
Step-by-step explanation:
504 - 300 = 204
204 + 800 = 1004
100 / 3 = 33.3
1004 x 33.3 = 33433.2
Can someone answer these 2 questions for me?
Which of the following is the correct inequality? b + 3 < 12"
Answer: x
+
3
=
17
x
3
=
2
3
x
+
3
=
24
Step-by-step explanation:
SU: ST is 4:1
picture below
Step-by-step explanation:
Length of SU to ST = 4 : 1.
=> (3m + 6) : m = 4 : 1
=> 3m + 6 = 4m
=> m = 6.
2. Which of the following is a linear inequality in two variables?
a. 7x - 4y= 3
c. 2t 56
b. 4m + 3 < 23
d. 3 + 5t 2 3r
The blue segment below is a radius of 0. What is the length of the diameter
of the circle?
Given that,
The radius of the circle, r = 7.3 units
To find,
The diameter of the circle.
Solution,
If r is the radius of the circle, then its diameter is given by the relation as follows :
d = 2r
Put the value of r.
d = 2(7.3)
= 14.6 units
So, the diameter of the circle is 14.6 units. Hence, the correct option is (A).
Thirteen more than three times a number is 25.
Answer:
x = 4
Step-by-step explanation:
Equation: 3x + 13 = 25
Step 1: Subtract 13 from both sides.
3x + 13 = 25
- 13 - 13
3x = 12
Step 2: Divide both sides by 3.
3x = 12
3 = 3
x = 4
At a little-known vacation spot, taxi fares are a bargain. A 16-mile taxi ride takes 18 minutes and costs $14.40. You want to find the cost of a 38-minute taxi ride. What unit price do you need?
Answer:
$30.4
Step-by-step explanation:
Determine if the ordered pairs represent a function.
•Yes
•No
{(1,3), (4, 12), (5, 15), (6, 18)}
Evaluate the expression when a=10,b=9, and c=4.
3a+2b−6c =
Answer:24
Step-by-step explanation:
Multiply 3 times ten, 2 times 9, and 6 times 4 and solve you get 24
The value of the given expression is 24.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 3a+2b-6c.
Substitute a=10,b=9, and c=4 in the expression 3a+2b-6c, we get
3×10+2×9-6×4
= 30+18-24
= 24
Therefore, the value of the given expression is 24.
To learn more about an expression visit;
https://brainly.com/question/28170201.
#SPJ2
whats yall fav candy!
Answer:
Twix and Milky Way!
Step-by-step explanation:
Answer:
whats yall fav candy!
jelly (^__^)
Do Now
A company has 3 locations with 70,010 employees altogether. The
first location has 34,857 employees. The second location has 17,595
employees. How many employees work in the third location?
Model
Answer:
17, 558 employees
Step-by-step explanation:
Altogether = 70,010 employees , First location = 34, 857 employees, second location = 17, 595 employees, Third location = ?
Let the number of employees in the third location be x
70,010 + 17, 595 + x = 70,010
x = 70, 010 - 52452
x = 17, 558( Answer)
17, 558 employees work in the third location
A class counts how many vehicles drove past their school from 1:00pm to 2:00pm. There's 3 times as many cars as trucks
Liza types 180 words in 3 minutes. At
that rate, how many minutes does it
take her to type 1,260 words?
Can someone help me out with this problem?
Answer:
[tex] \frac{1}{2} \: cup \: for \: each \: dumpling \\ 10 \: cups \: for \: \frac{ \frac{10}{1} }{ \frac{1}{2} } = 20 \: dumplings[/tex]
20 dumplings can be made by Luke.what is the answer to 2(1-x)=11
Answer:
-9/2 in exact form but -4.5 in decimal form
Answer:
x=-4.5
Step-by-step explanation:
distribute
2(1-x) = 11
2-2x=11
combine like-terms
-2x = 9
isolate x and divide out the negative
-2x/-2 = 9/-2
x = -4.5
Maria wants to add to her CD collection. If a CD costs $12, which expression shows the cost of d CDs? A. 12 - d B. 12 ÷ d C. 12 + d D. 12 × d
Step-by-step explanation:
Cost of CDs
= Number of CDs * Cost of one CD
= d * $12
= $12d. (D)
The answer is using multiplication as we have a unit rate and we wish to find the total.
Answer:
D. 12*d, or 12d
A meal at a restaurant cost $ 22 and the sale tax of $ 1.87 was added to the bill. what is sale tax in this city?
Hong made $323 for 17 hours of work
At the same rate, how much would he make for 7 hours of work
Answer:
$153
Step-by-step explanation:
323/17=19
19x7=153
Write an equation, and then solve.
5. Kiesha and Wanda went to the mall for 4.5 hours. While they were there, they went to a movie that lasted 130
minutes and ate dinner for 70 minutes. They spent the rest of the time walking around the mall. How long did
they spend walking around the mall?
Answer:
70 mins
Step-by-step explanation:
Lets first convert the 4.5 hours to minutes. We know that there's 60 mins in an hour, so we can just multiply 4.5 by 60 to get 270 minutes. Now we know the total time spent at the mall.
Then, we can add the times given in the question.
130 mins + 70 mins + walking mins = 270 mins
To solve, simply collect like terms:
200 mins + walking mins = 270 mins
walking mins = 270 mins - 200 mins
walking mins = 70 mins
Help please I’ll give you as much as points as I can
Answer:
48
Step-by-step explanation:
Which is the product of 11/12 and 4
Answer:
3.66666666667
Step-by-step explanatio
Kayla consumed 1800 calories on Monday. She consumed 500 more calories on Tuesday than she did on Monday. On Wednesday, she consumed 100 calories less than she had on Tuesday. Find the rate of change in calorie intake from Monday to Wednesday.
Answer: +200 calories/day
Step-by-step explanation:
Answer: 200 calories/per day
Step-by-step explanation:
A grey umbrella costs $8 plus $0.72 in taxes. A yellow
umbrella costs 3 times as much as the grey umbrella. How
much does the yellow umbrella cost, in total?
Select the expression that represents the problem above,
Answer:
$26.16
Step-by-step explanation:
Since it says "A grey umbrella costs $8 plus $0.72 in taxes"that means a grey umbrella costs $8.72.So you have to do $8.72 * 3 which equals,$26.16
hope this helped!
what is 3/5 divide 1/3
Answer:
1 4/5
Step-by-step explanation:
Two angle measures of this triangle are 60°. Which type of triangle is it?
Answer:
It's an equilateral triangle.
Step-by-step explanation:
For starters, the angle measures of any triangle all add up to 180 degrees. Because 2 sides of this triangle are 60 degrees, the two sides added up would be 120 degrees. Because 180 - 120 = 60, the unknown side is 60 degrees. Because an equilateral triangle is a triangle where all the angles or sides are equal, and all of the angle measures of the triangle are equal, it is an equilateral triangle.
How many people will 1 cup of rice serve?
Answer:
4
Step-by-step explanation:
Answer:
it will serve 3 people!
Step-by-step explanation:
divide 6 by 2!
hope this helped!
for brainliest!
Need quick(Right answer gets brainliest)
What is m angle TRS?
Answer:
∠TRS = 68°
Step-by-step explanation:
∠TRS + ∠S = 180 - 44 = 136
∠TRS = ∠S
2∠TRS = 136
∠TRS = 68