starting with 2 cubes that have 6 numbers total for each one, so 2 cubes will have 12 numbers total, and the probability of number 5 is 2/12 (because each cube has a number 5, so two cubes will have 2, and fraction for it will be 2/12).
The probability the sum total will be 5 is 4/36.
What is probability?"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one".
For the given situation,
The sample space for rolling two 6 sided cube is
s ={
[tex](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)[/tex] }
⇒ [tex]n(s)=36[/tex]
The event is getting the probability that the sum total will be 5.
e = { [tex](1,4), (2,3), (3,2), (4,1)[/tex] }
⇒ [tex]n(e)=4[/tex]
Thus the probability that the sum total will be 5 is
[tex]P(e)=\frac{n(e)}{n(s)} \\[/tex]
⇒ [tex]P(e)=\frac{4}{36}[/tex]
Hence we can conclude that the probability the sum total will be 5 is 4/36.
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What is the value of cos Tan
cos(Tan-'1)?
A.2
c. 2 radical 2
b. Radical 2
d.Radical 2 over
2
Question 11 (1 point)
David has a gift that he needs to wrap. He is trying to decide if he has enough Avengers wrapping paper or if he will have to use the plain blue
ones he has. The gift is 18 inches by 2 feet by 9 inches, rectangular shape. If he has a piece of Avengers wrapping paper that is 3.5 feet by 3
feet, is it enough to cover the present?
Answer:
no, it isn't enough to cover the present
Step-by-step explanation:
first, find the volume of the gift in feet
18*9=162 inches
162/12= 13.5 feet
13.5*2= 27 feet
then, the wrapping paper
3.5*3= 10.5 feet
compare them
27>10.5 meaning there isn't enough wrapping paper
Peyton opened a savings account with $1800 that pays no interest. She deposits an additional $200 each week thereafterHow much money would Peyton have in the account 40 weeks after opening the account?
Answer:
Step-by-step explanation:
Answer:
9600
Step-by-step explanation:
1800+200(40-1) = $9600
Someone please me thank you
Answer:
Graph dots in the points of the following:
(-4,10)
(-3,8)
(-2,6)
(-1,4)
(0,2)
(1,0)
(2,-2)
(3,-4)
(4,-6)
(5,-8)
(6,-10)
Connect these dots to make a line.
9 + 9 + 9 + 9 = _ x 9
Answer:
4
Step-by-step explanation:
multiplication is repeated addition
Answer:
4
Step-by-step explanation:
9+9+9+9= 36
36/9= 4
4×9= 9+9+9+9
Find the missing side length.
PLEASE NO LINKS- I WILL REPORT YOU.
I Need help-
Thank you
Please help on this!!! Thanks!!
Answer:
7y=4y +9(corresponding sides of congruent triangle)
or,7y-4y=9
or, 3y=9
or,y=9/3
so,y=3
now
ST=7y=7×3=21
again
TU=4y+9=4×3+9=21
hope this will help you more
Find the missing term: (x+3)² = x² + 6x + _____
Answer:
9
Step-by-step explanation:
The formula for (a + b)^2 expands out to: a^2 + 2ab + b^2. In the case of this problem, a equals x and b equals 3. We can substitute to get:
(a + b)^2 = a^2 + 2ab + b^2
(x + 3)^2 = x^2 + 2(x)(3) + (3)^2
(x + 3)^2 = x^2 + 6x + 9
So, the missing term is 9.
Another way to do this is to multiply (x + 3)(x + 3) since it's the same thing:
(x + 3)(x + 3)
x^2 + 3x + 3x +9
x^2 + 6x + 9
By solving this way, you get the same answer.
Answer:
It would be 9.
Step-by-step explanation:
To do this, lets expand the equation (x+3)^2 by turning it into:
(x+3)(x+3)
Now, lets try something called the FOIL method. This is where all of the terms of the equation are multiplied in the order:
1) First
2) Outer
3) Inner
4) Last
So in (x+3)(x+3), each of the first parts of each parentheses box are x's, and x times itself equals x^2 so:
x^2 + ? + ? so far.
Next, with the Outer & Inner parts, they would be x * 3 and 3 * x. With this, you would get 3x and 3x. These can be added to get 6x, the middle part of the equation.
x^2 + 6x + ? so far.
Lastly, for the answer. Time to do the last part of each parentheses box, you would get 3 * 3, which gives you 9.
x^2 + 6x + 9.
which of the following is the value of x?
9514 1404 393
Answer:
x = 20°
Step-by-step explanation:
Assuming parallel lines, the two angles marked with measures are complementary to each other.
45° +(5x +35°) = 180°
5x = 100° . . . . . . . . . . . . subtract 80° from both sides
x = 20° . . . . . . . . divide by 5
_____
Comment on the geometry
Where a transversal crosses parallel lines, all of the obtuse angles are congruent, and all of the acute angles are congruent. Of course, the acute angles and obtuse angles are linear pairs, hence supplementary. (The only time this won't apply is when all angles are right angles.)
No lines are marked as parallel here, nor does any part of this problem statement say there are parallel lines. So, we cannot find the value of x if we're going strictly by what is shown in the diagram. In the absence of any information, we can only say that the angle marked with an x-expression must be between 0° and 180°.
0 ≤ 5x +35 ≤ 180 ... -35 ≤ 5x ≤ 145 ... -7 ≤ x ≤ 29.
work out three fifths of 20 pounds
PLEASE HELP THANK YOU BRANLIEST IS PROVIDED
Answer:
Solution given;
area of semi circle=½πr²=1/2×3.14×4²=25.12in²
area of rectangle ABCD=l×b=8×13=104in²
area of rectangle CEFI=l×b=3×6=18in²
Total area =25.12+104+18=147.12in²
Area of circle
πr²π(7+6-5/2)²π(8/2)²16π25.12in²Area of centre rectangle
8(13)104in²Area of right rectangle
3(6)18in²Total
18+104+25.12122+25.12147.12in²Find the measure of the arc or angle indicated
Please help this is geometry
-3b-75=0 I need 2 solutions
Answer:
-25
Step-by-step explanation:
-3b-75=0
+75 +75
-3b=75
/-3 /-3
b=-25
There isn't 2 solutions
---
hope it helps
Jada can read 3/5 of an book in 1/4 of an hour How long would it take her to read one whole of the book
A.5/12 of a book per hour
B.5/12 of an hour per book
C. 2 and 2/5 books per hour
D.2 and 2/5 hours per book
Answer:
A)
Step-by-step explanation:
t = time to read whole book
(3/5 ÷ 1/4) = (5/5 ÷ t)
simplify:
12/5 = 1/t
cross-multiply:
12t = 5
t = 5/12
I need help ASAP plz answer
Answer:
The answer is A
Step-by-step explanation:
common denominator is 15
5×2=10
3×4=12
10+12=22
22/15
hope it helps :)
18 is 4.5 times a number.
The value of x is equal to 4, that is 4.5 times 18 is 4
Given that the expression:
18 is equal to 4.5 times a number.
Assume that the number be x.
To find the number that is 4.5 times 18, we can set up the following equation:
4.5 × x = 18
Now, to find the value of x, divide both sides of the equation by 4.5:
4.5 × x / 4.5 = 18 / 4.5
x = 18 / 4.5
x = 4
So, the number that is 4.5 times 18 is 4.
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Is 7.12467 rational or irrational
Answer:
Rational
Step-by-step explanation:
A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0. Since 7.12467 is an integer or decimal it's rational
Find the lateral surface area of the can of mandarin oranges. Round your answer to the nearest tenth. Radius: 4cm, Height: 11cm
Answer:
276.3cm²
Step-by-step explanation:
The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.
A can is in the shape of a cylinder
Lateral surface area of a cylinder = 2πrh
π = pi = 3.14
h = height = 11
r = radius = 4
2 x 3.14 x 4 x 11 = 276.32 cm²
to the nearest tenth = 276.3 cm²
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
Help find the missing side show your work and get brainly
Answer:
[tex]\sqrt{32}[/tex]
Step-by-step explanation:
Pythagorean - [tex]a^2+b^2=c^2[/tex]
where a and b = legs and c = hypotenuse
For the following problem we are given the hypotenuse ( [tex]\sqrt{84}[/tex] ) and a leg ( [tex]\sqrt{52}[/tex] ) and we need to find the missing side length ( which also happens to be a leg.)
That being said we can find the missing leg by plugging in what we are given into [tex]a^2+b^2=c^2[/tex] ( let a = missing side length )
[tex]a^2+\sqrt{52}^2=\sqrt{84} ^2\\\sqrt{52} ^2=52\\\sqrt{84}^2 =84\\a^2+52=84[/tex]
* subtract 52 from each side
84 - 52 = 32
52 - 52 cancels out
we now have a² = 32
step 2 take the square root of each side
[tex]\sqrt{a^2} =a\\\sqrt{32} =\sqrt{32}[/tex]
Assuming that we are supposed to leave the answer in radical form the answer would be sqrt 32
Answer:
7 in.
Step-by-step explanation:
Let x = the length of the missing side
[tex]x^{2} + \sqrt{32} ^{2} = \sqrt{81} ^{2}[/tex]
[tex]x^{2} +32 = 81[/tex]
[tex]x^{2} = 49\\[/tex]
x = 7 in.
7. Solve for x:
8. Find m
Answer:
From Triangles...
The sum of two opposite interior angles = the exterior
so
3x-2 + 9x + 7 = 14x - 19
12x +5=14x -19
Collecting Like terms
2x= 24
x= 12°.
For "m"
Sum of angles in a triangle=180°
So
180 - (19x-3+9x-2) = m
180 -(28x -5) =m
m= 180 - 28x + 5
m=185 - 28x.
Now
Since sum of everything in a triangle = 180
185 - 28x + 9x -2 + 19x - 3 = 180
185 -28x + 28x -5= 180
185-5=180
180=180
Two trains started from the same station at the same time and traveled in opposite
directions. After traveling 4 hours, they were 480 miles apart. The rate of the fastest
train exceeded the rate of the slow train by 10 mph. Find the rate of each train.
Please help!!
Answer:
Fastest train: 65 mph
slowest: 55 mph
Step-by-step explanation:
Divide 480 by 4
=120
To find average speed divide 120 by 2
=60
call the speed of the slowest train y.
y+(y+10)=120
2y=110
y=110/2=55
y+10=65
Hope this helps!! :)
If the bathtub holds a total of 46.2 gallons, how many minutes would it take to fill the entire tub? Write an equation in one variable to help you
solve the problem. The variable represents the unknown time in minutes.
BI y Xx Font Sizes - AA EI E
N
Answer:
It will take 2.8 minutes
Step-by-step explanation:
Given
[tex]x \to Minutes[/tex]
[tex]y \to Gallons[/tex]
See attachment for complete question
Required
Time to fill the tube with 46.2 gallons
The attached table is a represents a direct proportional relationship between x and y.
This relationship is:
[tex]y = kx[/tex]
Where k is the constant of proportionality.
When (x,y) = (1,16.5), we have:
[tex]16.5 = k*1[/tex]
[tex]16.5 = k[/tex]
[tex]k=16.5[/tex]
So, we have:
[tex]y = kx[/tex]
[tex]y = 16.5x[/tex]
To calculate the required time to fill 46.2 gallons, we make x the subject
[tex]x = \frac{y}{16.5}[/tex]
Where
[tex]y =46.2[/tex]
[tex]x = \frac{46.2}{16.5}[/tex]
[tex]x = 2.8[/tex]
Can someone help me? And no, I don’t just want the answer. I literally need to know how to do it pls
Answer:
36
Step-by-step explanation:
The angle b is a right angle which is divided into 2. So, each angle would measure 45 degree. (90 / 2 = 45)
tan 45 = 1
\AD\ = 100 - 64 = 36
to find x , remember SOCAHTOA
tan would be used because we have the vale of the opposite angle and we want to find the value of the adjacent angle
Tan 45 = opposite / adjacent
1 = 36/x
x = 36
Give me anime recommendations, hope you had a good day!
Answer:
I just started watching My Hero Academia recently, and I'm already on season four! I love it, you should check it out if you haven't already!
Answer:
cowboy bebop
Step-by-step explanation:
Jill needs 3 tonnes of salt. If a packet of salt weighs 600 g how many packets does she need?
Answer:
Solution given:
1 packet=600g
we have
1 tone =1000000g
3tone=3000000g
we have
no of packet's=[tex] \frac{total weight }{1 packet weight } [/tex]
=[tex] \frac{3000000}{600} [/tex]
=5000
packets she needs is 5000.
The Tuskegee Airmen were best known for being? (Marking branliest but i think the only way to do that is if u comment on what i comment on i think so please do)
A.
the first group of Hispanic soldiers in the U.S. Army.
B.
soldiers who fought in battles of the Korean War.
C.
the first Black military pilots during World War II.
D.
pilots who discovered new islands in the Pacific.
c) If Sam only has $25. how much fuel can be bought for $1.40/L?
Answer:
17.86 liters of fuels
Step-by-step explanation:
25 / 1.40 = 17.86
Or 17 if you cannot buy for less than $1.40
How do I solve this I need help and if it’s not too much trouble can you help me understand which system to use. (Btw it’s trigonometry)
Answer:
[tex]x = 11.4[/tex]
Step-by-step explanation:
So there are ways to find a missing side of a triangle.
Pythagorean TheoremLaw of SinesLaw of CosinesSine,Tangent, or Cosine Function.I'll explain when we use them,
We use pythagorean theorem if we have a right angle and know at least two sides of a triangle. Since we dont know two sides, we are not going to use that.We use law of sines if we know a given angle and a side opposite of that angle and a side or angle opposite of the angle or side we are trying to findIf we apply the triangle interior theorem, we can use law of sines. Since 11 and 44 degrees are opposite sides, and x and the missing angle which is 46 is opposite side and angle as well.We use law of Cosines if we know two sides and a angle between them. We have a missing side so we cant use law of Cosines.Since we are trying to find side measures, sometimes it isn't advised to use SOHCAHTOA.So let use law of sines.[tex] \frac{11}{ \sin(44) } = \frac{x}{ \sin(46) } [/tex]
[tex] \frac{11}{ \sin(44) } \times \sin(46) = x [/tex]
[tex]x = 11.4[/tex]
What is the area in square feet of the shaded part of the rectangle below
Casey wants to buy a gym membership. One gym has a $100 joining fee and costs $30 per month. Another gym has no joining fee and costs $55 per month. When would Casey pay the same amount to be a member of either gym? How much would he pay?
Answer:
4 months
Step-by-step explanation: