Given:
Two dice are rolled together.
Total number of possible outcomes.
To find:
The list of total possible outcomes.
The probability of getting a sum of 11 in these outcomes.
The probability of getting a sum less than or equal to 4.
The probability of getting a sum of 13 or more.
Solution:
If two dice are rolled together, then the total number of possible outcomes is 36 and list of total possible outcomes is
S = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}
Sum of 11 in these outcomes = {(5,6),(6,5),(6,6)} = 3
The probability of getting a sum of 11 in these outcomes is
[tex]P(\text{sum=11})=\dfrac{3}{36}[/tex]
[tex]P(\text{sum=11})=\dfrac{1}{12}[/tex]
Therefore, the probability of getting a sum of 11 in these outcomes is [tex]\dfrac{1}{12}[/tex].
Sum less than or equal to 4 = {(1,1),(1,2),(1,3),(2,1),(2,2),(3,1)} = 6
The probability of getting a sum less than or equal to 4 is
[tex]P({sum\leq 4})=\dfrac{6}{36}[/tex]
[tex]P({sum\leq 4})=\dfrac{1}{6}[/tex]
Therefore, the probability of getting a sum less than or equal to 4 is [tex]\dfrac{1}{6}[/tex].
Sum of 13 or more = empty set because maximum sum is 12.
The probability of getting a sum of 13 or more is
[tex]P(sum\geq 13)=\dfrac{0}{36}[/tex]
[tex]P({sum\geq 13})=0[/tex]
Therefore, the probability of getting a sum of 13 or more is 0.
f(x)=(-3x+2) and g(x)=(2x^2-5x-1)
Answer: -6x² + 15x + 5
Step-by-step explanation:
To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.
Step 1: f(x) = -3(2x² - 5x - 1) + 2
Step 2: Apply the distributive property
-3(2x²) + -3(-5x) + -3(-1)
-6x² + 15x + 3
Step 3: Simplify
f(x) = -6x² + 15x + 3 + 2
f(x) = -6x² + 15x + 5
PLEASE HELP!! MATH FINAL :)) no explanation needed.
Answer:
195 or 15^2- 2(15)
Step-by-step explanation:
0.072 as a multiple power of 10
Answer:
0.72 I think but not sureThank you ☺️☺️
Simplify 1/4 + 1.20 explain
Answer:
1/4 +1 1/10_.25 + 1.20
Step-by-step explanation:
1/4 also known as a quarter, should easily be known as .25, and .20 should be equal to 1/10 since .20x10 equals 1. that one in the equation doesn't really make a difference. (it's kinda just there¯\_(ツ)_/¯) so technically you have your answer.
How much is 200 tens
Answer:
if you're sating 200 tens(10), then it equals 2000
Step-by-step explanation:
because you'd multiply them, and 200 times 10 equals 2000.
and if you ment 200 ton, the it's 400000. because a ton is 2000, so 200 times 2000 equals 400000
Angle A and angle B are vertical angles. If m A=(5x-24) and m_B=(3x+24), then find the value of x and the measure of angle A
Answer:
Step-by-step explanation:
If they are vertical angles, they are equal.
5x - 24 = 3x + 24 Add 24 to both sides
5x -24 +24 = 3x + 24 + 24 Combine
5x = 3x + 48 Subtract 3x
5x - 3x = 3x-3x + 48 Combine
2x = 48 Divide by 2
x = 24
<A =5*24 - 24
<A = 96
Answer: x= 24
Step-by-step explanation: (5x-24)+(3x+24)=180 and when you solve this equation you get 24. Hopes this helps love u ❤️
Solve for x number 9
Answer:a
Step-by-step explanation:
If a = 5x + 8 and d = 62, find the value of x.
Answer:
first if a=d that 62=5x+8
62-8=5x+8-8 ...substract by same number
54=5x ....simplifying
54/5=5x/5 ....divided by two equal part
10.8=x
Select the correct answer.
Find the value of (-7)
()=5.7-19
A. 138.7
B. -138.7
C. -127.3
D. 0.67
Answer:
I think it's B. I might be wrong, but I really hope I helped!
Step-by-step explanation:
Two groups of friends go to a movie. Each ticket costs the same amount. One group spends $57. The other group spends $95. List all possible whole number ticket prices for each group. At most how much does each ticket cost? Suppose a group of 2 friends goes to this movie. At most how much does this group spend?
List all possible whole number ticket prices for the group that spends $57. Select all that apply.
A. $19
B.$1
C. $57
D. $95
E. $3
F. $5
List all possible whole number ticket prices for the group that spends $95. Select all
that apply. A. $3
B. $19
C. $1
D. $57
E. $95
F. $5 At most how much does each ticket cost?
Answer:
1) All possible number tickets for group that spends $57: A, B, C, D
2) All possible number tickets for group that spends $95: B, C, E, F
3) Each ticket will cost at most $19
Step-by-step explanation:
We are told that one group spends $57 dollars while the other group spends $95.
Now,we want to find all possible whole number ticket prices for each group and at most how much each ticket costs.
To do this, let's first find the factors of both amounts which will give us all possible whole number ticket prices for each group.
57: 1, 3, 19, 57
95: 1, 5, 19, 95
Since each ticket costs same amount, to find out at most how much each ticket costs, we will select the highest common factor of both groups which is 19.
Thus,each ticket will cost at most $19
find an equation of the line through (4,6) and parallel to y=3x+7
Answer: y = 3x - 6
Step-by-step explanation: A line that is parallel to another line must have the same slope, so you already have y = 3x + b. To find b, use the point that they give. b is the y-intercept, so just subtract 3(x) from the y coordinate of the point, where x is the x-coordinate of the given point.
In the diagram, which angles from a linear pair ? Select 3 options
What is the value of this sum 6372+5849?
Fifty eighth graders attend a
charter school. If 1/10 are
home with the flu and 2/3 of
the remaining students are
on a field trip, how many are
in school?
Answer:
15
Step-by-step explanation:
1/10 of 50 is 5, so remove that.
2/3 of 45 is 30, so remove that too.
therefore, 15 kids are in school
hope this helps!! <3
0.39/0.75 as a decimal
Answer:
0.52
Step-by-step explanation:
Divide.
Answer:
0.3333333333333333333333 it non terminating
Need help ASAP!! Will give brainliest
Answer:
yea i know this but imma just give to ya short its A
Step-by-step explanation:
Given h(x)=-3x-2,solve for x when h(x)=1
Answer:
-5
Step-by-step explanation:
The value of x for the given function h(x)=-3x-2 such that h(x) = 1 will be -1.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
As per the given funciton,h(x) = -3x - 2
For h(x) = 1
1 = -3x - 2
1 + 2 = -3x
3 = -3x
x = -1
Hence "The value of x for the given function h(x)=-3x-2 such that h(x) = 1 will be -1".
For more about the function,
brainly.com/question/23712366
#SPJ2
Shane plans on finding a summer job so he can earn enough money to buy a new laptop that costs $595. He has already saved $150. If Shane
finds a summer job that pays him $7.50 an hour after taxes are withheld, what is the minimum number of hours he will have to work in order to
purchase the laptop?
80
79
60
59
Answer:
59
Step-by-step explanation: x=number of hours
150+7.50x=595
7.50x=595-150
7.50x/7.50=445/7.50
x=59
what is the missing factor in the equation
y^3/4x
Step-by-step explanation:
here,
6x^2/5y *(y^3/4x)
3xy^2/10
Select the correct answer.
To bake one cake, Drew uses 18 ounces of flour. He has 850 ounces of flour. Let y represent the ounces of flour left and x represent the number of cakes he has baked. When the situation is modeled on a graph, what are the slope and the y-intercept of the line representing this situation?
A.
slope = 850 and y-intercept = 18
B.
slope = 18 and y-intercept = 850
C.
slope = -18 and y-intercept = 850
D.
slope = 850 and y-intercept = -18
Answer:
The answer is C, hope that helps:)
Step-by-step explanation:
Help asap
The soccer team is conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10. So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?
x + y 200
14x + 10y > 200
14x + 10y < 200
Answer:
14x +10y < 200
Step-by-step explanation:
The inequality that represents the given condition is: 14x + 10 y < 200.
What is an inequality?"An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions."
Given, the price per long sleeved t-shirt is $14.
The price per short sleeved t-shirt is $10.
The soccer team has sold less than $200 worth of both types of t-shirts.
Here, the number of long-sleeved t-shirts they have sold is 'x'.
The number of short-sleeved t-shirts they have sold is 'y'.
Therefore, the total price of long sleeved t-shirt sold is = $14 × x = $14x
The total price of short sleeved t-shirt sold is = $10 × y = $10y
Therefore, the required inequality will be:
14x + 10 y < 200
Learn more about an inequality here: https://brainly.com/question/18342668
#SPJ2
please help im struggling really bad on this one question.
Answer:
B
Step-by-step explanation:
90 degrees means 1/4 of 360 degrees. If you think about it like a clock it would be at 3:00. B is the representation of that
Answer:
B
Is going clock wise I dont really know how to explain it
what is the factor of 2x2 - 5x - 12???
hurry up guyss pleaseee!
Step 1:
[tex]2 {x}^{2} - 5x - 12[/tex]
Step 2:
[tex]2 {x}^{2} - 8x + 3x - 12[/tex]
Step 3:
[tex]2x(x - 4) + 3(x - 4)[/tex]
Step 4:
[tex]\blue{(x - 4)(2x + 3)}[/tex]
Please can anyone help me
Find the missing coordinate if the ordered pair is to be a solution to the given equation.
(-3, ?) for the equation 4x + y = 5
Answer:
17 (I think)
Step-by-step explanation:
substitue -3 in for x so 4(-3) + y = 5
-12+ y =5
+12 +12
y=17
i need help plz help me
Answer:
3000g
hope this helps
What is x on this right triangle? Round to the nearest tenth.
Answer:
x ≈ 38.7°
Step-by-step explanation:
Using the tangent ratio in the right triangle.
tanx = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{8}{10}[/tex] , thus
x = [tex]tan^{-1}[/tex] ([tex]\frac{8}{10}[/tex] ) ≈ 38.7° ( to the nearest tenth )
PLS HELP ASAP!!!!!!!!!!!!!!!!!!!!!11
Simplify (−3.5)(−3)(−6.4).
1. −672
2. −67.2
3. 67.2
4. 672
Answer:
2 -67.2
Step-by-step explanation:
-3.5 Times -3 = 10.5
10.5 Times -6.4 = -67.2
Answer:
2. -67.2
Step-by-step explanation:
(−3.5)×(−3)×(−6.4)=−67.2
I have done it before and I did the work.
The menu price of a sandwich at a restaurant is $6. The purchase is subject to a 5% food tax, and you would like to leave a tip of 20% on the pre-tax cost. How much tax do you pay? How much of a tip should you leave? What is the total cost of your meal, after tax and tip?
Answer: See explanation
Step-by-step explanation:
Price of sandwich = $6
Food tax = 5% of $6
= 0.05 × $6
= $0.3
Tip = 20% of $6
= 0.2 × $6
= $1.2
Total cost of meal:
= $6 + $0.3 + $1.2
= $7.5
Answer: 1: $0.30 2: $1.20 3: $7.50
Step-by-step explanation:
What is the equation of the following graph
Answer:
y=1 is the equation! :))
Step-by-step explanation:
Find the average rate of change of g(x)=3x^2 ver the interval [-5, -3].
Answer:
ill help
Step-by-step explanation: