Given : Eitan rolls a fair six-sided die and a fair four-sided die simultaneously. A be the event that the sum of the dice is 8 and B be the event that Eitan rolls doubles
To find : probability of event A , event B , Event A or B , Event A & B
Solution:
Six Sides Dice has { 1 , 2 , 3 , 4 , 5 ,6 }
4 Sides Dice has = { 1 , 2 , 3 , 4 }
Total possible outcome = 6 * 4 = 24
n(S) = 24
A = Sum of Dice = 8
(4 , 4) , ( 5 , 3) , ( 6 , 2)
n(A) = 3
B = Double ( means same number on each Dice )
B = ( 1 , 1) , ( 2, 2) , ( 3 , 3) , ( 4, 4)
n(B) = 4
A U B = ( 1 , 1) , ( 2, 2) , ( 3 , 3) , ( 4, 4) ( 5 , 3) , ( 6 , 2)
n (A U B ) = { 6 }
A ∩ B = { 4 , 4}
n(A ∩ B) = 1
Probability of Event A = 3/24 = 1/8
probability of Event B = 4/24 = 1/6
Probability of Event A or B = 6/24 = 1/4
Probability of Event A and B = 1/24
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You are given one 6 sided dice and an 8 sided dice. The 8 sided die
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You roll a fair 666-sided die. What is ext{P(roll greater than 4})P(roll ...
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Determine whether [3x + 12 + x] is equivalent to [4(3 + x)]. Use properties of operations to justify your answer.
Answer:
3x + 12 + x = 4x + 12 becuase 3x and x are like terms so you can add them
4(3 + x) = 12 + 4x because 4 times 3 is 12 and 4 times x is 4x so you add them to get 12 + 4x which can be rearranged to equal 4x + 12
So in short: 3x + 12 +x is equivalent to 4(3+x)
What is the measure of the angle?
Answer: 50 degrees
Step-by-step explanation:
A phone sells for $245. It is now on sale for off the original price.
April has a coupon for an extra 10% off the sale price. To the nearest
dollar, how much less than the original price will April pay for the
phone?
A. $25
B. $49
C. $68
D. $69
Answer:
$25
Step-by-step explanation:
[tex]current \: selling \: price = 245 \\ 10 \: percent \: of \: 245 = \frac{10}{100} \times 245 \\ = 0.1 \times 245 = 24.5 \\ 25 \: to the nearest dollar \\ he \: will \: pay \: 25dollars \: less[/tex]
$25
PLEASE RATE AND MARK BRIANLIEST
What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Answer:
please add the picture for us to see.
Step-by-step explanation:
The circumference of a circle is37.68 kilometers. What is the circle's radius?
circumference= 37.68 km
to find:the circle's radius.
solution:[tex]r = \frac{c}{2\pi} [/tex]
[tex]r = \frac{37.68}{2\pi} [/tex]
[tex]r = 5.99696 \: km[/tex]
[tex]r =6 \: km[/tex]
the 5 degree measures of 5 angles are 30 degrees, 40 degrees, 35 degrees, 50 dgrees, and 55 degrees. Find the measdian angle measure. Change it to radius. round your answer to the nearest hundredth.
Answer is The measure of median angle is 0.700 radians.
In the xy-plane, the graphs of y = x2 - 8x + 18 and y = - 4x + 14 intersect at point (a, b). What is the product of a and b?
Answer:
12 and 5
Step-by-step explanation:
Witch is a following radical to …
Answer:
B
Step-by-step explanation:
Determine the center and radius: x2 + y2 - 10x + 8y -8 = 0
So our equation currently is ⇒ [tex]x^2+y^2-10x+8y-8 = 0[/tex]
Let's first move all the constant to one side and group 'like variables' together:
[tex](x^2-10x)+(y^2+8y) = 8[/tex]
Now lets complete the square of both equations
[tex](x^2-10x+25)+(y^2+8y +16) = 8 + 25 + 16\\(x-5)^2+(y+4)^2 = 49\\(x-5)^2+(y+4)^2 = 7^2[/tex]
Now we know the circle's general equation format is:
⇒[tex](x-h)^2+(y-k)^2 = r^2[/tex]
(h, k) ⇒ coordinate of the center of the circler ⇒ length of radius of circleThus the radius of the circle is 7
Hope that helps!
what is the sum of 10000+101010
Answer:
10000+101010 = 111010
[tex] \orange{ \boxed{ \sf{111010}}}[/tex]
Answer:
10000+101010 = 111010
Step-by-step explanation:
10000+101010 = 111010
The cost of tuition at a community college is $12,000 per academic year. Alejandro is eligible for $7,500 in financial aid, and he will save money for one year to pay for the rest of his first year of college. What is the minimum amount he needs to save each month? Question 9 options: $375 $450 $750 $600
The minimum amount he needs to save each month in order to be able to pay for his first year of college is $375.
What is the mininum monthly saving?The first step is to determine the total amount he needs to save.
Amount he needs to save = $12,000 - $7500 = $4,500
The second step is to divide $4500 by 12.
4500 / 12 = $375
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Question 10 of 10
Which of the following graphs is described by the function given below?
Y = x - 6x -7
• A. Graph A
• B. Graph B
• C. Graph C
• D. Graph D
PLEASE!!!!!!!
Answer:
Graph A
Step-by-step explanation:
The y intercept of the graph is (0, -7), which is what the graph's y intercept lies on.
The running event is 3.1 miles long. Supposed it takes you 8 minutes to run a mile. What this time allow you to reach your goal? Explain your reasoning. At 8 minutes per mile, it would take you 10 minutes to run 3.1 miles. You cannot meet your goal because your total running time added to your swimming and biking times is less than 100 minutes
The time it would take you to run 3.1 miles given the time it takes you to run a mile is 24 minutes 48 seconds.
Wha is multiplication?
Multiplication is a mathematical operation that is used to determine the product of a number. The sign used to represent multiplication is ×.
How long would it take you to run 3.1 miles?In order to determine the time, multiply 3.1 miles by 8 minutes
3.1 x 8 = 24.8 = 24 minutes 48 seconds.
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Please help me understand the question
Answer:
○ [tex]\displaystyle \textcolor{black}{C.}\:triangle[/tex]
Explanation:
This is a triangular prism. Its faces are triangular, but the lateral faces are rectangular. All prisms will have lateral faces shaped as rectangles. Do not ever forget this.
I am joyous to assist you at any time.
wanting some extra help with factoring while knowing what method it would be like gcf or grouping etc
d) You have a difference of squares:
49y² - 9 = (7y)² - 3²
Recall the identity,
a² - b² = (a - b) (a + b)
So,
49y² - 9 = (7y - 3) (7y + 3)
e) Pull out the common factor 3 from each term:
3x² - 3x - 90 = 3 (x² - x - 30)
Now use the sum-product method. Notice that we can write 30 = 5 • 6, and 5 - 6 = 1, so
3x² - 3x - 90 = 3 (x + 5) (x - 6)
f) Same as in (e), use the sum-product method. Notice that 42 = 7 • 6, and -7 - 6 = -13, so
x² - 13x + 42 = (x - 7) (x - 6)
#1
49y²-9(7y)²-3²(7y-3)(7y+3)#2
3x²-3x-903(x²-x-30)3(x-6)(x+5)#3
x²-13x+42x²-7x-6x+42(x-7)(x-6)Which of the following is the growing elderly population attributed to?
Baby boomers are now approaching elderly ages.
Lower death rates means more people live longer.
Advancements in science and medicine extend lives.
Preventive health care has eliminated deadly diseases.
Answer: lower death rates
Step-by-step explanation:
What is the value of n?
In an RPG game, each player can choose among 5 basic classes: Mage, Warrior, Archers, Priests, Monks. Each basic class can advance to 4 sub-classes. If each character can have two sub-classes at the same time, how many different combinations are there?
Answer:
In RPGs a Character Class is a designation that determines a player's abilities and fighting style (and depending on the game possibly even their origin, education, and home area) often in the form of a job or archetype. A character class is defined by the abilities that it lends to a character — as such, two different characters with the same class are theoretically interchangeable, in that they have the same "power set" and can play the same role in gameplay because of their similar abilities. However, character class systems can come with varying levels of customization — ranging from characters of a given class being literally identical to having so much variety that character class is no longer even a good indicator of that character's abilities. While most common in fantasy Role-Playing Games, they have recently began to appear in other genres, such as trading card games and MOBAs.
Step-by-step explanation:
a cube shaped shed has a 6 foot high walls if all the shed's walls are painted not including the floor or ceiling how much area will be painted
Help with this math question please
Answer:ur doomed dude I don’t know
Step-by-step explanation:
The tent shown is a triangular prism. What is the amount of space inside the tent?
A.What is the length of the tent, to the nearest foot, from the front to the back?
B. What formula will find the space inside the tent ? what is the space inside the tent?
The length of the tent to the nearest foot, from the front to the back is 42 ft. the total amount of space inside the tent is 816.83 cubic feet.
What is the volume of a right triangular prism?A right triangular prism is a 3-dimensional triangle with two congruent triangular faces and 3 rectangular faces that connect the triangular.
The volume of a right triangular prism = ( height × Base Area)
A. The length of the tent to the nearest foot, from the front to the back
= 15 + 6 + 15+ 6
= 42 ft
B. Given that the tent is in the shape of a triangular prism the volume of the prism will be given by:
The volume of a right triangular prism = ( height × Base Area)
height = √(36 - 9)
= √27
The volume of a right triangular prism = √27 × 157.2
= 816.83
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I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
it'll be (2,3)
hope it helps...!!!
Which of the following are solutions to the equation below?
Check all that apply.
4x^2 + 20x + 25 = 49
A. x = -1
B. x = 1
C. x = 6
D. x = -6
E. x = √7-5/2
F. x = -√7-5/2
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve the given equation ~
[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 = 49[/tex]
[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x + 25 - 49 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:4 {x}^{2} + 20x - 24 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:4( {x}^{2} + 5x - 6) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 5x - 6 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 6x - x - 6 = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:x(x + 6) - 1(x + 6) = 0[/tex]
[tex]\qquad \tt \dashrightarrow \:(x + 6)(x - 1) = 0[/tex]
Hence, we get -6 and 1 as our roots ~
So, the correct choices are : B and D
Kristen is doing her math homework for each problem she uses 1/3 of a sheet of paper how many sheets of paper will she need for nine problems
Answer:
Step-by-step explanation:
because nine is greater than one, you get one whole for each time you can fit 9 in 3. The answer will be 3. (3x3 is nine)
please read the picture and help
Answer:
A.) (-4,-2)
Step-by-step explanation:
Because the lines intersect
56 units needed, 6 units per case
Answer:
10 cases 4 units over
Step-by-step explanation:
what is the inverse of F(C) = 9 5 C + 32 is
basically f(c) is like y and 95c is like 95x. to find the inverse function you basically just reverse x and y and then solve for y again.
y=95x+32
x=95y+32
x-32=95y
(x/95)-(32/95)=y
Someone help me answer I need help
Answer:
Step-by-step explanation:
Is that Ed genuity?! I used to use it. I had the same problem once!
What is the value of s?
s
880
370
Answer: 37 degrees
Step-by-step explanation:
Vertical angles are congruent.
a rectangle has an area of 30 square meters and a permiter of 34 meters what are the dimensions of the rectangle
Answer:
2m by 15m
Step-by-step explanation:
Form a system of equations where x is the length and y is the width.
Area: xy=30
Perimeter: 2x+2y=34
x=2, y=15 (solve by substitution)