Answer:
5/6
Step-by-step explanation:
The probability of both dice to roll the same number would be 5/6
The probability that the numbers on the two dice are different is 5/6.
Given that, a red die and a blue die are thrown.
What is the probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
We know that, probability of an event = Number of favorable outcomes/Total number of outcomes
There are six different possible outcomes for a dice, the set (S) of all the outcomes can be listed as follows:
(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)
Total number of outcomes = 36
Number of favorable outcomes = 30
Now, probability = 30/36
= 5/6
Therefore, the probability that the numbers on the two dice are different is 5/6.
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I have been struggling with this for a while lol
Answer:
f(x) = (3x -2)(2x +1)
Step-by-step explanation:
The procedure for factoring expression of the form ...
ax² +bx +c
is to look for factors of a·c that have a sum of b.
The product a·c is 6·(-2) = -12. You are looking for factors that have a sum of b = -1. From your familiarity with multiplication tables, you know ...
-12 = 1(-12) = 2(-6) = 3(-4)
The sums of the factor pairs in this list are -11, -4, -1. So, the last pair of factors, {3, -4} is the one we're looking for.
__
At this point, there are several ways to proceed. Perhaps the simplest is to rewrite the linear term as the sum of terms involving these factors:
-x = 3x -4x
f(x) = 6x² +3x -4x -2
Now, the expression can be factored 2 terms at a time:
f(x) = (6x² +3x) -(4x +2) . . . . . pay attention to signs
f(x) = 3x(2x +1) -2(2x +1) . . . . factor each pair
f(x) = (3x -2)(2x +1) . . . . . . . . factor out the common factor of (2x+1)
2/7 times a number minus 11.5 is no more than 13.5
Answer:
x<=87.5
Step-by-step explanation:
2/7x - 11.5 <= 13.5
2/7x <= 25
x <= 87.5
P=3x^2+2x-6
O=2x^2 - 2x + 10
Find P+O and O-P
Answer:
P+Q=5x²+4 and P-Q=x²+4x-16
Step-by-step explanation:
For P+Q
[tex]=3x^{2} +2x-6+2x^{2} -2x+10\\\\=5x^{2} +2x-2x-6+10\\\\=5x^{2} +4[/tex]
For P-Q
[tex]=3x^{2} +2x-6-(2x^{2} -2x+10)\\\\=3x^{2} +2x-6-2x^{2} +2x-10\\\\=x^{2} +4x-16[/tex]
Mike is reading instructions for assembling a tree house. The instructions include a scale drawing of the floor plans of the tree house that shows the floor as a square with 4-inch-long sides. The scale of the drawing is 12 inch = 2 feet. If Mike were to build a tree house according to the floor plans, what would be the area of the floor of the tree house in square feet? _________
you have 26 dogs and 69 cats . what is your ratio of dogs to cats?
Answer:
Ratio is 26:69
Step-by-step explanation:
[tex]{ \tt{dogs : cats = \frac{dogs}{cas} }} \\ [/tex]
dogs → 26cats → 69[tex]{ \tt{dogs : cats = \frac{26}{69} }} \\ \\ { \underline{ \tt{ \: dogs :cats = 26 : 69 \: }}}[/tex]
Answer:
Step-by-step explanation:
dogs : Cats = 26 : 69
It is in the simplest form as they have no common terms.
classify by number of terms:
Answer:
c) trinomial
Step-by-step explanation:
terms are separated by '+' or '-' signs
can someone pleas help with this?? (i really prefer you editing on it but i honestly need this due today!!, please take your time).
Answer:
She used 5/8 of the seeds.I think the second one is 7/8 but I'm really not sure I understand what they are asking... Its weirdly worded.Step-by-step explanation:
1.
1/4 of 2 1/2
(1/4) times 5/2
5/8 of the seeds were used.
2.
1/2 of 1 3/4
(1/2) times 7/4
7/8
Suppose you are adding two negative integers. Will the sum be positive or negative?
Show me an example of adding two negative integers and explain how you know what the
answer will be
Answer: Adding two negative integers will still keep the sum negative.
Step-by-step explanation: An integer is a whole number, it can be either positive or negative. If it’s a fraction that cannot be simplified to a whole number, then it’s not an integer.
An example of the answer would be -4 + -6. This would equal to -10. Positive and negative would remain negative in math.
Name each angle in four ways. Then classify the angle as acute, right, obtuse,or straight.
Answer:
see image
Step-by-step explanation:
Angle 3
Angle F
Angle HFG
Angle GFH
(I can't type an angle symbol, so i put it on the image.)
It is an acute angle.
An acute angle is smaller than 90°.
A right angle is square, it is exactly 90°.
An obtuse angle is larger than 90°.
A straight angle is 180° and looks like a straight line.
length of a cube is 13 feet, what is the correct way to write the expression
take side as a
volume of cube=a×a×a
= 13×13×13
6m + 17 is greater then or equal to 77 (HELP WILL GIVE BRAINLIST)
6m> 60
m>10
m is greater than or equal to 10
Answer:
if 6m+17 is greater than or equal to 77 it means that m≥10
One root of f (x) = x cubed minus 4 x squared minus 20 x 48 is x = 6. What are all the factors of the function? Use the Remainder Theorem.
Answer:
C ) ( x - 2 ) ( x + 4 ) ( x - 6 )
Step-by-step explanation:
.
Which expression is equivalent to 2/3−1/4x+1/2x−1/6?
Answer:
-(1 3/4)x - 5
Step-by-step explnation:
1/2x+(−7)−2 1/4x−(−2) => (1/2)x + (−7) − (2 1/4)x − ( −2)?
Combining the x terms, we get:
-2 1/4 + (1/2)x, or - (1 3/4)x - 7 + 2.
Again combining like terms, we get the final answer
-(1 3/4)x - 5
If answer choices are given (which it seems they are here), please share them.
The expression 2/3 − 1/4x + 1/2x − 1/6 is equivalent to 1/2 + 1/2x.
How to solve an expression?To simplify the expression 2/3 − 1/4x + 1/2x − 1/6, we first need to combine the terms with the same variable.
The terms -1/4x and 1/2x have the same variable, so we can combine them:
-1/4x + 1/2x = (1/2 - 1/4)x = 1/4x
Now, the expression becomes:
2/3 + 1/4x - 1/6 + 1/4x
To simplify further, we can find a common denominator of 12:
(2/3) + (1/4x) - (1/6) + (1/4x) = (8/12) + (3/12x) - (2/12) + (3/12x)
Now, we can combine like terms:
(8/12) - (2/12) + (3/12x) + (3/12x) = (6/12) + (6/12x)
Simplifying the fraction:
6/12 = 1/2
The expression simplifies to:
1/2 + 1/2x
Therefore, the expression 2/3 − 1/4x + 1/2x − 1/6 is equivalent to 1/2 + 1/2x.
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Find the 29th term 29,33,37,41
(arithmetic)
Answer:
a₂₉ = 141
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 29 and d = a₂ - a₁ = 33 - 29 = 4 , then
a₂₉ = 29 + (28 × 4) = 29 + 112 = 141
Answer:
The 29th term of arithmetic sequence is 141.
Step-by-step explanation:
Here's the required formula to find the arithmetic sequence :
[tex]\longrightarrow{\pmb{\sf{a_n = a_1 + (n - 1)d}}}[/tex]
[tex]\pink\star[/tex] aₙ = nᵗʰ term in the sequence[tex]\pink\star[/tex] a₁ = first term in sequence [tex]\pink\star[/tex] n = number of terms [tex]\pink\star[/tex] d = common differenceSubstituting all the given values in the formula to find the 29th term of arithmetic sequence :
[tex]\purple\star[/tex] aₙ = a₂₉[tex]\purple\star[/tex] a₁ = 29[tex]\purple\star[/tex] n = 29 [tex]\purple\star[/tex] d = 4[tex]\leadsto{\sf{ \: \: a_n = a_1 + (n - 1)d}}[/tex]
[tex]\leadsto{\sf{ \: \: a_{29} = 29 + (29 - 1)4}}[/tex]
[tex]\leadsto{\sf{ \: \: a_{29} = 29 + (28)4}}[/tex]
[tex]\leadsto{\sf{ \: \: a_{29} = 29 + 28 \times 4}}[/tex]
[tex]\leadsto{\sf{ \: \: a_{29} = 29 + 112}}[/tex]
[tex]\leadsto{\sf{ \: \: a_{29} = 141}}[/tex]
[tex]\star \: \: \red{\underline{\boxed{\sf{a_{29} = 141}}}}[/tex]
Hence, the 29th term of arithmetic sequence is 141.
[tex]\rule{300}{2.5}[/tex]
How do I graph y=1/6x - 1
Answer:
-1 is on the Y axis (vertical) Slope is 1/6
Step-by-step explanation:
-1 is on the Y axis. Go up 1 a right over 6. <- that is the slope
Chip and Dale are driving in a toy engine around the
Christmas tree at a speed of 300 meters/hour. How many minutes
will it take them to do one loop if the tracks are 20m long?
The number of minutes that will take them to do one loop in a track of 20 m long is approximately 4 minutes
The speed of the toy engine around the Christmas tree is 300 meters/hour.
The number of minute for them to do one loop if the track are 20m long is as follows:
1 loop = 20m distance
Therefore,
Speedspeed = distance / time300 = 20 / t
t = 20 / 300
t = 1 / 15 hours
t = 3.9999999996
t ≈ 4 minutes
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How do states with no personal income tax raise money for public services?
Answer:
The funding for those services typically comes from three key areas: property taxes, sales taxes, and income taxes. States without a personal income tax might ask residents and visitors to pay more sales tax on groceries, clothes, and other goods, as is the case in Washington.
Justin earned $50 mowing yards and $19 washing cars. He wants to divide his money into 3 equal accounts.How much will he put in each account? Complete the explanation.
Answer:
$23
Step-by-step explanation:
[tex]50 + 19=69\\69/3=23\\Or -$23 in each account[/tex]
Determine the distance between the two points using the Pythagorean theorem.
Answer:
d = 10
Step-by-step explanation:
Ok, so we know that the horizontal distance between the points is 6 and the vertical distance is 8. Using the Pythagorean theorem we know that 8^2+6^2=d^2 (d is the distance between points). When solving we get
8^2+6^2=d^2
64+36=d^2
100=d^2
d=10
IM TOO d u m b FOR THIS
Answer:
x > 12, so the answer is the last one or D
Step-by-step explanation:
2/3x − 5 > 3
Step 1: Add 5 to both sides.
2/3x − 5 + 5 > 3 + 5
2/3x > 8
Step 2: Multiply both sides by 3/2.
2/3x * (3/2) > 8 * (3/2)
x > 12
> = open circle
< = open circle
≤ = closed circle
≥ = closed circle
For what values of x, does the graph's slope equal zero?
Answer:
1 < x ≤ 2
Step-by-step explanation:
A graph's slope equals zero when there is a change in the x-value, but there's no change in the y-value.
Here, we can see in the piecewise function that between 1 (not included) and 2 (included), the slope of the graph is 0.
Therefore, 1 < x ≤ 2 is correct
log1000=3 converted to exponential form
4y=-3-x
7x-4y=43
elimination please help!!
Answer:
x = 5 y =-2
Step-by-step explanation:
You can substitute the 4y in,
7x - (-3-x) = 43
7x + 3 + x = 43
8x + 3 = 43
8x = 40
x = 5
Then plug the x back into the equation,
4y = -3 - 5
4y = -8
y = -2
Answer:
y= -2 x=5
Step-by-step explanation:
(See attachment below)
True or false:
A closed circle means the number is a part of the solution.
Answer:
True Hope It's Help
#Carryonlearning
What is the volume of the prism??
Answer:
V = 192 m3
Step-by-step explanation:
What is the area of the polygon given below?
14
7
14
27
help and show work plzz
Answer:
Step-by-step explanation:
1. -20 x + y - 10 = 0, y = 10 (2 x + 1), y= 20x + 10
2. The first row will represent the one-time art supply fee. the art supply fee is $10
3. The linear equation for the cost of a lesson in slope-intercept is
y = 20x + 10
4. I cannot directly graph, but I will give points. After that, connect the points in a line. (0,10), (2,50), (4,90), (6,130).
Question 5 and 6 previously answered on different question.
Hope this helps. :) Cya later.
Given the points A(-6, 8) and B(4, -6), find the slope of the line that contains these two points.
Answer:
m=-7/5
Step-by-step explanation:
y=y2-y1/x2-x1
m=-6-8/4-(-6)
m=-7/5
58 out of 120 as a percent
Answer:
48.33%
Step-by-step explanation:
if you ever have problems with percents
you should probably use calculator soup :)
have a nice day!
Mason is building a scale model of a truck, using the scale factor 5:64. The actual measurements of the truck are given in this table.
Drag and drop the length of the scale model of the truck.
Measurements are rounded to the nearest tenth of an inch.
Dimension Measurement
Length 230 in.
Width 79 in.
Height 80 in.
Here are dimensions of the scale model of the truck:
Length = 18 inches
Width = 6.2 inches
Height = 6.3 inches
What are the dimensions?
A scale drawing is a smaller image of a bigger image. The scale drawing is usually reduced at a constant dimension
Length = (5 x 230) / 64 = 18 inches
Width = (5 x 79) / 64 = 6.2 inches
Height = (5 x 80) / 64 = 6.3 inhes
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