If you roll two six-faced dice together, you will get 36 possible outcomes. 4 pts 1. List all possible outcomes of the experiment. 2 pts 2. What is the probability of getting a sum of 11 in these outcomes? 2 pts 3. What is the probability of getting a sum less than or equal to 4? 2 pts 4. What is the probability of getting a sum of 13 or more?
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.
8800000 in scientific notation
Answer:
8.8 x 10 to the power of 6
Step-by-step explanation:
i need help.please help me
Answer:
1) r >-5 2) x >9
Step-by-step explanation:
if triangle ocd ≅ triangle JAL, then which of the following statements are true?
Answer:
I III and IV
Step-by-step explanation:
According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Given :
Triangle OCD ≅ Triangle JAL
The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.
So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Therefore, the correct option is D).
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The cost of a speeding ticket is a function of each mile per hour that exceeds the speed limit multiplied by a fixed rate of $2 plus a $40 processing fee.Write the function that represents this relationship.Then determine the cost of a speedingticket for a car that has gone 50 mph in a 35 mph zone
The cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
Describe Function?In mathematics, a function is a relationship between two sets of numbers, known as the domain and the range, that assigns each element of the domain a unique element in the range. A function can be thought of as a machine that takes input from the domain and produces output in the range.
More formally, a function f from a set X to a set Y is denoted as f: X → Y
For example, the function f(x) = 2x assigns to each real number x a unique real number 2x. When x = 1, f(1) = 2; when x = -3, f(-3) = -6.
Functions can be represented in a variety of ways, including algebraic expressions, tables of values, and graphs. The graph of a function is a visual representation of the relationship between the input and output values, and can be used to analyze the behavior of the function.
Functions are important in many areas of mathematics, science, and engineering, and are used to model relationships between quantities, solve problems, and make predictions. They are also used in computer programming, where they are used to encapsulate behavior and modularize code.
The function that represents the relationship between the speed of a car and the cost of a speeding ticket can be expressed as:
C(x) = 2(x - L) + 40
where:
C(x) is the cost of the speeding ticket for a car traveling at speed x (in mph).
L is the speed limit (in mph).
(x - L) represents the number of miles per hour over the speed limit that the car was traveling.
The fixed rate is $2 per mile per hour over the limit, and there is a $40 processing fee added to every ticket.
To determine the cost of a speeding ticket for a car that has gone 50 mph in a 35 mph zone, we substitute the values for x and L into the formula above:
C(50) = 2(50 - 35) + 40
C(50) = 2(15) + 40
C(50) = 30 + 40
C(50) = $70
Therefore, the cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
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For each value of x, determine whether it is a solution to x - 42 = 7.
Answer:
67- No 46-No 49-Yes 47-No
Step-by-step explanation:
Hope this helps!
Answer:
67...No
46...No
49...Yes
47...No
Step-by-step explanation:
x - 42 = 7
Add 42 to both sides
x = 49
If a system of linear equations has the unique solution (2, -3), then its graph consists of what?
•parallel lines
•lines that intersect at a single point
•identical lines
•a y-intercept at -3
Answer: B - lines that intersect at a single point
Step-by-step explanation: Just took a test
Brandon was on vacation for 2 weeks and 1 day. He spent the same amount of time with each of his 3 brothers. How many days did he spend with each brother?
Answer:
2.67 days each
Step-by-step explanation:
Answer: 2.67
Step-by-step explanation:
If 52 men can do a piece of work in 35 days in how many days will 28 men to it?
28 mando the peace of work in 41 days
by divida 52 and 35 and multiiply with28
TRUE OR FALSE
Angle BAH and angle DAG form linear pair.
Answer:
false
Step-by-step explanation:
Factor 3y3 – 9y2
The factored polynomial is
Answer:
Factor 3y23y2 out of 3y33y3.
3y2(y)−9y23y2(y)-9y2
Factor 3y23y2 out of −9y2-9y2.
3y2(y)+3y2(−3)3y2(y)+3y2(-3)
Factor 3y23y2 out of 3y2(y)+3y2(−3)3y2(y)+3y2(-3).
3y2(y−3)
Step-by-step explanation:
mark me the brainliest please
Look at the angle shown below.
V.
Estimate the measure of the angle.
Question 26 (1 point)
Find the distance between points P(7.1) and Q(5,7) to the nearest tenth.
PQ =
Answer:
The answer is 6.3 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
P(7,,1) and Q(5,7)
We have
[tex] |PQ| = \sqrt{ ({7 - 5})^{2} + ({1 - 7})^{2} } \\ = \sqrt{ {2}^{2} + ({ - 6})^{2} } \\ = \sqrt{4 + 36 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{40} \: \: \\ = 2 \sqrt{10} \\ = 6.32455532...[/tex]
We have the final answer as
6.3 units to the nearest tenthHope this helps you
Answer:
PQ=1.4 I think
Step-by-step explanation:
What is the area of this polygon?
Pleasee help mee
I will mark brainliest!
Answer:
60 squared inches.
Step-by-step explanation:
You can break this polygon into two parts. The rectangle part of the polygon is 55 squared inches. The triangle part is 5 squared inches.
The rectangle:
[tex]5(11)=55[/tex]
The triangle:
[tex]2(5)=10\\10/2=5[/tex]
Therefore, the whole polygon is 60 squared inches.
Like what the other one said, and thank you so much for the points.
PLEASE HELP !!!!
Determine whether each equation is correct
Answer:
yes
Step-by-step explanation:
HELP PLEASE !!!!
(2^6)^x=1 what is the value of x?
Answer:
x = 0
Step-by-step explanation:
Using the rule of exponents
[tex]a^{0}[/tex] = 1
Given
[tex](2^{6}) ^{x}[/tex]
= [tex]2^{6x}[/tex]
The only way for this to equal 1 is for x to be zero
Thus x = 0
What is the solution to 0.2 (4x - 8) = 0.4(12-2x)
Answer:
x = 4
Step-by-step explanation:
Let's multiply both sides by 5 to get rid of the leading fractions.
5 X 0.2 (4x - 8) = 5 X 0.4(12-2x)
(4x-8) = 2 (12-2x)
4x - 8 = 24 - 4x
8x = 32
x = 4
x = 4
Each digit 8 in the number 8.888 has a different value placed on its place in the place-value chart. Each 8 is multiplied by its place value. I've made up a song to help you remember this. What is the rule that this is referring to? Write the rule below.
Answer:
The value of every digit in a decimal figure is given by its position in that figure.
Step-by-step explanation:
The Rule:
The value of every digit in a decimal figure is given by its position in that figure.
For the figure 8.888, from left to right,
The first 8 is in units
The second 8 is in tenth (this means 8/10 = 0.8)
The third 8 is in hundreth (this means 8/100 = 0.08)
The fourth 8 is in thousandth (this means 8/1000 = 0.008)
The sum of the place values of the digits after the decimal point = 0.888
when the unit 8 is added, you then get 8.888
3 + 15 + 3
- 4 2
I need help figuring this out
Answer:
3+15+3-42
=18+3-42
=21-42
=-21
You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 201 km south and 194 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?
Answer:
The answer is "0.0846276476".
Step-by-step explanation:
Let all the origin(0,0) of JBLM be
Let the y-axis be north along with the vector j unit.
But along the + ve x-axis is east, and all along with the vector unit i.
And at (194,-201) that undisclosed position is
Mt. Ris (56,-40) at
Let the moment it gets close to the Mt. rainier bet.
Oh, then,
If we know, the parallel to the direction from the point was its nearest one to a path to a point,
Calculating slope:
[tex]\to m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
points: (0,0) and (194,-201)
[tex]\to m=\frac{-201 -0 }{194-0}\\\\\to m=\frac{-201}{194}\\\\\to m=-1.03[/tex]
equation of the line:
[tex]\to y= mx+c\\\\\to y= -1.03\ x+c[/tex]
when the slope is perpendicular= [tex]-\frac{1}{m}[/tex]
[tex]= - \frac{1}{ -1.03}\\\\= \frac{1}{ 1.03}\\\\= 0.97[/tex]
perpendicular equation:
[tex]\to y-(-40)=0.97 \times (x-56) \\\\\to y+40=0.97 \times (x-56) \\\\[/tex]
Going to solve both of the equations to have the intersection point,
We get to the intersect level in order to be at
(47.16,-48.5748)
so the distance from origin:
[tex]= \sqrt{(47.16^2+48.5748^2)}\\\\= \sqrt{2224.0656 + 2359.5112}\\\\=\sqrt{4583.5768}\\\\=67.7021181[/tex]
[tex]\to time =\frac{distance }{speed}[/tex]
[tex]= \frac{67.7021181}{800}\\\\= 0.0846276476[/tex]
Find the 87th term of this sequence: 157, 150, 143, ...
Answer:
[tex]\bold{a_{87}=-445}[/tex]Step-by-step explanation:
[tex]a_1=157\\a_2=150\\\\d=150-157=-7\\\\a_n=a_1+d(n-1)\\\\a_{87}=157+(-7)(87-1)=157-7\cdot86=-445[/tex]
PLS HELP WITH THIS QUESTION
Answer:
I think C
Step-by-step explanation:
Write 3.01 repeating as a mixed number.
Answer:
3 1/100
Step-by-step explanation:
Place the decimal number over a power of ten.
A sequence of numbers is 0, 12, 24, 36, 48,.... Drag tiles to complete the statements.
Answer:
60 and 72
Step-by-step explanation:
We can tell that each number is being added by 12 so add 48 with 12 and you get 60 and add 12 to 60 you get 72
Geometric
What is the answer to number 3?
Answer:
A
Step-by-step explanation:
Your free ride to work ends in 14 days. So, maybe you need a car? How much can you afford to spend? Below is what's available at a dealership near you. Which car should you buy? Before you decide, think about this: You do not have enough money in your account to buy a car. You'll have to finance your purchase. You'll have to put down 25% of the vehicle's selling price as a down payment.
Step-by-step explanation:
Kindly find attached a screenshot of the price list of some cars from motor 1 .com since you did not provide any in the question, and let us assume it is the same as what is available at a dealership near you.
From the list, since you don't have enough money in your account to buy a car, I will say you should get a 2017 Nissan Versa for $11,990
and 25% of $11,990 is
(25/100)* 11,990
0.25* 11,990
$2997.5
So you can make a down payment of $2997.5
and pay the remainder of $8992.5 later
Objects that are in the same plane are called _______________ . *
Answer:
black lines....I think
The points F, G, H and I all lie on the same line segment, in that order, such that the
ratio of FG : GH: HI is equal to 3 : 2: 4. If FI = 18, find FH.
Answer:
10
Step-by-step explanation:
Given line:
F G H I
FI = 18
Unknown:
FH = ?
Solution:
To find the line FH, we use the ratio given;
FG : GH: HI
3 : 2 : 4 ; Total = 3 + 2 + 4 = 9
Since FI is 18;
FH = [tex]\frac{3 + 2}{9}[/tex] x 18 = [tex]\frac{5}{9} x 18[/tex] = 10
FH = 10
Help plz!!!!!!!!!!!!!!!!!!!!
Answer:
444.6 liters
Step-by-step explanation:
117*3.8
444.6
Just the last question thank you!!
Answer:
6 X 10^21
Step-by-step explanation: