Answer:
1.The random variable X can take any value from( 2,- ----,12) in the event of the sample space.
2.The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3), (2, 2),(3, 1), (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6), (2, 5),(3, 4),(4, 3),(5, 2), (6, 1), (2, 6),(3, 5), (4, 4), (5, 3), (6, 2),(3, 6), (4, 5), (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6), (6,5),(6,6)]
3. The probability of getting a 4 = 1/12
4. The probability of getting a 12 = 1/36
Step-by-step explanation:
There are 36 outcomes in all and the event shows the possible numbers obtained after the sum .
The event will be E= [ 2,3,4,5,6,7,8,9,10,11,12]
The random variable X can take any value from( 2,- ----,12) in the event of the sample space.
The sample space S = [(1, 1), (1, 2),(2, 1), (1, 3), (2, 2),(3, 1), (1, 4),(2, 3),(3, 2),(4, 1), (1, 5),(2, 4), (3, 3),(4, 2),(5, 1),(1, 6), (2, 5),(3, 4),(4, 3),(5, 2), (6, 1), (2, 6),(3, 5), (4, 4), (5, 3), (6, 2),(3, 6), (4, 5), (5, 4), (6, 3),(4, 6) (5, 5), (6, 4),(5,6), (6,5),(6,6)]
that is it has all the possible outcomes of both the dice.
The probability of getting a 4= Number of fav outcome/ no of possible outcomes= 3/ 36= 1/12
The probability of getting a 12= Number of fav outcome/ no of possible outcomes=1/36
Construct a binomial whose greatest common factor is 2a^3
A.9a^4+3a^2
B.8a^4+3a^2
C.8a^4+10a^3
D. 9a^4+10a^3
Answer:
C
Step-by-step explanation:
The greatest common factor of 8 and 10 is 2
The greatest common factor of a^4 and a^3 is a^3
The binomial whose greatest common factor is 2a³ is 8a⁴ + 10a³.
What is greatest common factor?The largest number among all the common factors of the given numbers is known as the GCF (Greatest Common Factor) of two or more numbers. The greatest integer that may be used to divide two natural numbers x and y without producing any remainders is called their GCF. There are three main methods for calculating GCF: division, multiplication, and prime factorization.
Given the a³ is not common in A and B they are wrong
C. 8a⁴ + 10a³
common factors of 8 and 10 is 2
so 8a⁴ + 10a³ has factors 2a³
Hence option C is correct.
Learn more about greatest common factor;
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plssss help. I have no idea how to do it its due today
Answer: X=23
<u is 75
< v is 29
<w is 76
Step-by-step explanation:
< u + < v +< w = 180
<w + 3x+35 = 180
so 3x+35= <v+ <u
3x+35=x+52+x+6
3x+35= 2x+58
x+35=58
x= 23
so each angle
U= (23+52)= 75
V= (23+6)= 29
W=180-75-29= 76
or 3(23)+35+w=180
104+w=180
w= 76
The next term in the sequence 15, 12, 8, 3
Answer:
I think the answer is 17
Step-by-step explanation:\
The pattern is counting down. 3 plus 5 is 8, 8 plus 4 is 12, 12 plus 3 is 15, and 15 plus 2 is 17.
I hope this helps :)
Please Help!!!! need it just right now
Answer:
A. y = x² + 12x - 8Step-by-step explanation:
The u-shaped function should have:
positive leading coefficienteven degreeThe only function with mentioned parameters is:
y = x² + 12x - 8Correct option is A
The other options don't fit:
B. Even degree with negative leading coefficientC. Odd degreeD. Odd degreeSolve the system of equations -3x+7y=-18 and 4x-4y=8 by combining the equations.
Explaining Is Required
Answer:
[tex]\huge \colorbox{red}{(x,y)=(-1,-3)}[/tex]
Step-by-step explanation:
multiply first equation by 4 and second by 3 respectively:
[tex] \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}[/tex]
combine the equations:
[tex] \underline{ \begin{cases} \displaystyle - 12x + 28y = - 72 \\ \: \: \displaystyle \: 12x - 12y = 24 \end{cases}} \\ \displaystyle16y = - 48[/tex]
divide both sides by -48:
[tex] \displaystyle \: \frac{16y}{16} = \frac{ - 48}{16} \\ y = - 3[/tex]
substitute the value of y to the second equation
[tex] \displaystyle \: 4x - 4. - 3 = 8[/tex]
simplify multiplication:
[tex] \displaystyle \: 4x + 12 = 8[/tex]
cancel 12 from both sides:
[tex] \displaystyle \: 4x = - 4[/tex]
divide both sides by 4
[tex] \displaystyle \: \frac{4x}{4} = \frac{ - 4}{4} \\ x = - 1[/tex]
therefore our solution is
[tex]\displaystyle (x,y)=(-1,-3)[/tex]
Answer:
Solution given:
-3x+7y=-18
3x-7y=18.................[1]
4x-4y=8
4(x-y)=8
x-y=[tex] \frac{8}{2} [/tex]
x-y=2..........….........[2]
multiplying equation 2 by 3 and subracting equation 1 and 2,we get
[tex]3x-7y - 3x + 3y = 18 - 6[/tex]
-4y=12
y=[tex] \frac{12}{ - 4} [/tex]=-3
substituting value of y in equation 2,we get
x-(-3)=2
x=2-3
x=-1
:.
x=-1
y=-3
find the area calculate the area of the composite figure
Answer:
84 Sq in
Step-by-step explanation:
area of the composite figure = Area of square + Area of triangle
[tex] = {9}^{2} + \frac{1}{2} \times (9 - 7) \times 3 \\ \\ = 81 + \frac{1}{2} \times 2 \times 3 \\ \\ = 81 + 3 \\ \\ = 84 \: {in}^{2} [/tex]
Solve 7z + 4 - 5z > 8 + 12
The solution is ____
This is on Big Ideas Math if anyone has this math problem.
Answer:
z>8
.....................
Find the surface area
please show work
363 inch²
Step-by-step explanation:
Each vertical face is a rectangle.
Area of each face = length x breadth
= 8 x 6 inch² = 48 inch²
There are 5 such faces, total area = 5 tiimes of 48 inch² = 240 inch²
For horizontal faces:
Observe: you can actually divide that face in 5 right-angled triangle(two edge point & centre form right angled ∆). With base 6 inch & height 4.1 inch.
For 2 such faces, you have 2 x 5 times of area of 1 ∆.
Area of 10∆s = 10 ( ½ x 4.1 x 6) = 123 inch²
Total area = area of horizontal surfaces + area of vertical surfaces
Total area = 240 + 123 inch² = 363 inch²
The total value of nickels and dimes in a coin bank is $4.60. There are 10 more dimes than nickels in the bank. How many dimes are in the bank?
Triangle LMN has vertices at L(0, 0), M(0,4), and N(-3,0). The triangle will be rotated 270° counterclockwise about the origin. What will
be the coordinates for point N'?
A (-3,0)
B. (0,-3)
C (0, 3)
D (3, 0)
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the mirror reflection.
Since the image of triangle is reflected along Y-axis,hence the coordinates of N after 270° rotation are
N ==> ( 3,0)
===> Option D.) is correct
Answer:(3,0)
Step-by-step explanation:
D
The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval 7≤x≤8?
Answer:
-2Step-by-step explanation:
We see on the graph:
f(7) = 2f(8) = 0Average rate of change:
(f(8) - f(7))/(8 - 7) =(0 - 2)/1 = -2If you invest $35,000 into an account that gets 9% interest compounded monthly, how much would you have
in your account after 10 years?
Answer:
$1084545551
Step-by-step explanation:
We have:
$35000 x (1 + 9%)¹²ˣ¹⁰ = $1084545551
Does this system have one solution, no solution, or an infinite number of
solutions? 3x+2y=7 and 27X+18y=5? PLEASE HELPP
help me this is hard
Answer:
I guess it's whole; because it first appears there.
24 is what percent of 48
Answer:
11.76
Step-by-step explanation:
j
In a recent town election, 1,860 people voted for either candidate A or candidate B for the position of supervisor. Ifcandidate A received 550/0 of the votes, how many votes did candidate B receive? 1) 186 2) 837 3) 1,023 4) 1,805
Answer:
[tex]1860 - 550 = 1310 \\ = 1310[/tex]
which is grater .856 or .8561
Answer: .8561
Step-by-step explanation: If you make them the same number by adding a 0 to .856 it would look like
.8561
.8560
Answer:
I think it would be .856
Step-by-step explanation:
0.5 is greater than 0.05. There are many ways to deduce this:
The more the # of zeroes after the decimal point the smaller the number is. Suppose there are x number of extra zeroes after the decimal point in number a than number b. Then, b is 10^x times larger than a.
Multiply both numbers by 100. we can see 0.5*100 (=50) > 0.05*100 (=5)
Fractionalize both numbers, we get 0.5=(5/10) but 0.05=(5/100). This makes 0.05<0.5
Thanks for reading. Hope this helps. And maybe can i have brainliest?
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 that are different in colour?
Answer:
I think its 2/9 but im not sure worth a try doe
PLEASE HELP !! DUE SOON :(
Answer:
-3
Step-by-step explanation:
Nearest unit tho will be -0 i think
1. The height in feet of a thrown football is modeled by the function h(t) = -16t2 + 60t +6, where t is time
in seconds.
What does the value of h(3) represent in this context?
A. The increase in the football's height after 3 seconds.
B. The decrease in the football's height after 3 seconds.
C. The football's height after 3 seconds.
D. The time it takes for the football's height to reach 3 feet.
Answer:
C) football's height after 3 seconds
Step-by-step explanation:
Question 1 (1 point)
What value of n makes the equation
0.2(n + 4) = 4.7n - 2.8 true?
A n = 0.8
B n = 1.25
Cn=-0.48
Dn=0.96
А
B
C
D
Answer:
a n=0.8
Step-by-step explanation:
Can you please help me find the volume of this shape ?
Answer:
The answer is 1710
Step-by-step explanation:
To find the volume of a shape, multiply the length by width by height.
V = LxWxH
Answer:
810in^3
Step-by-step explanation:
(6*19)/2 = 54
54*15 = 810
expand: 0.25(xy+4z+5)
Answer:
0.25xy+z+1.25=0
Step-by-step explanation:
Write two numbers that multiply to the value on top and add to the value on the bottom.
Answer:
6 and 2
Step-by-step explanation:
6 times 2 is 12 and 6 plus 2 is 8
Can you please help !? its due at 1:00 pm. (i will mark you brainlest) can you show work if you can?
Answer:
10) 9*9*9*9 = 6561
11) 2*2*2 = 8
12) 3*3*3*3*3 = 243
13) 4*4*4 = 64
14) 6*6*6*6*6 = 7776
15) 5*5*5*5 = 625
16) 8.5*8.5*8.5 = 614.125
17) 1.3*1.3 = 1.69
18) 7*7*7*7 = 2401
Used a calculator
Help Me Now! What is the rate of change for Funtions 1 and 2.
Function 1 Answer: 45
Function 1 Explanation: The rate of change (ROC) is basically the same thing as the slope of a graphed function. If you were to graph this table onto a coordinate plane, the slope of the line formed would be 45. (see Function 2 Explanation for more explanations, duh.)
Function 2 Answer: 40
Function 2 Explanation: Functions can be written in slope-intercept form, like this: y = mx + b. The m is the slope, or ROC (above), and the b is called the y-intercept, or where the line crosses the y-axis. The m in that equation is 40...
Hope that helps!! Sorry that took so long...
Pls help me with the answer to question 3
what is the volume of this prism 10mm 8mm 12mm 3mm 2mm
Answer:
5760 mm
Step-by-step explanation:
just multiply lol
Yoon buys a box of markers for $2.85 but he has a coupon for 20% off how much does he save with the coupon
Answer:
$0.57
Step-by-step explanation:
20% of $2.85 =
= 0.2 * $2.85
= $0.57
2.85 x 0.2 = 0.57
Yoon saves 57 cents
Find the p and q that produce the Pythagorean triple (12, 16, and 20)