Step-by-step explanation:
there are 36 (6×6) possible results and number combinations for 2 dice.
a)
to create a sum of 4 we need one of the following combinations :
1 3
2 2
3 1
so, 3 out of the overall possible 36 possibilities.
and that means the probability is 3/36 = 1/12
b)
to create a sum of 7 we need one of the following combinations :
1 6
2 5
3 4
4 3
5 2
6 1
so, 6 out of the overall possible 36 possibilities.
and that means a probability of 6/36 = 1/6
c)
since the possible outcomes in that regard are only 2 (even and uneven), with equal balance the probability is 1/2.
make it more formal ?
to get an even sum, every possible number on one die can be combined with 3 possibilities on the other.
1 can be combined with 1, 3, 5
2 with 2, 4, 6
3 with 1, 3, 5
4 with 2, 4, 6
5 with 1, 3, 5
6 with 2, 4, 6
these are 6×3 = 18 combinations of of the possible 36.
so, the probability is 18/36 = 1/2
d)
not a 6 ?
so, what does that mean ?
we are looking only at 5 possible outcomes per die.
that is 5×5 = 25 combinations out of the possible 36.
that means that probabilty is 25/36.
e)
not a perfect square ?
we have in the range of the possible sums with 2 dice (2 .. 12) only two perfect squares : 4 and 9
so, the sum must NOT be 4 AND NOT be 9.
so, here it might be easier to count the unwanted cases and then deduct the probability from 1 to express the opposite.
the combinations to get 4 we have already under a)
3 combinations with 3/36=1/12 probability.
the combinations to get 9
1 none
2 none
3 6
4 5
5 4
6 3
so, 4 combinations with a probability of 4/36 = 1/9
therefore, we have (3+4) = 7 cases out of the possible 36 we actually want to avoid.
so, the probability to get any one of the other (desired) combinations is therefore (36-7)/36 = 29/36
The probabilities are:
a) 0.083b) 0.167c) 0.5d) 0.861e) 0.806.How to get the probabilities?The probability for a given outcome is given by the quotient between the number of combinations that give that outcome and the total number of combinations.
Here each dice has 6 possible outcomes, so the total number of combinations for the two dice is:
6*6 = 36 combinations.
a) Here we need to count how many combinations add to 4, the notation I will use is:
dice 1 dice 2
1 3
3 1
2 2
There are 3 combinations that add to 4, then the probability of getting a sum equal to 4 is:
P = 3/36 = 0.083
b) Same thing as before, this time we count the combinations that add to 7.
dice 1 dice 2
1 6
6 1
5 2
2 5
4 3
3 4
There are 6 combinations that add to 7, so the probability is:
P = 6/36 = 0.167
c) The possible even numbers are: {2, 4, 6, 8, 10, 12}
A way of doing this, is:
If the first dice is even/odd, then the second also must be even/odd.
Then the probability is just 1/2 = 0.5 (because there are the same number of odd and even numbers in a dice).
d) The sum must not be equal to 6, the combinations that add up to 6 are:
dice 1 dice 2
2 4
4 2
3 3
1 5
5 1
So 5 combinations add up to 6, then there are 31 combinations that do not add up to 6, this means that the probability of not getting a sum equal to 6 is:
P = 31/36 = 0.861
e) The perfect squares are 4 and 9, we already know that 3 combinations add up to 4, now let's find the combinations that add up to 9.
dice 1 dice 2
6 3
3 6
5 4
4 5
So 4 combinations add up to 9, then there is a total of 7 combinations that give a perfect square, then there are 29 combinations that do not add to a perfect square.
The probability is:
P = 29/36 = 0.806
If you want to learn more about probability, you can read:
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The tickets for a figure skating performance sold out in 4 hours. If there were 40,000 tickets sold, solve the equation 40,000−4x=0 to find the number of tickets sold per hour.
Answer: look it up
Step-by-step explanation:
–12+33a −46a
SIMPLIFY
Answer:
-12-13a
Step-by-step explanation:
Please help! I'll give anyone who helps 10 points.
Answer:
the bottom one b and c
Step-by-step explanation:
it goes at a steady rate of 2b=c
write a formula, including units, for the surface area.
Answer:
plz mark me as a brainliest plz
What is the equation in point slope form for a linear function with a slope of m = -4 that passes through the
point (2,- 7)?
If m∠12 = 117° and m∠5 = 51°, find each measure.
m∠1 = º m∠8 = º
m∠2 = º m∠9 = º
m∠3 = º m∠10 = º
m∠4 = º m∠11 = º
m∠6 = º m∠13 = º
m∠7 = º m∠14 = º
Answer:90
Step-by-step explanation:
help help hep me sorry for like a million queestions
Answer:
1/12. Larger the disparity between numerator and the denominator (with the denominator the larger), the smaller the fraction!
Consider the equation 2b = a. Solve the equation for b.
Answer:
b = a/2
Step-by-step explanation:
Answer:
the coefficient of b is 1 so and 1*0 is 0
Find the equation of a line perpendicular to y=2 that contains the point (−5,1).
Answer:
y = -1/2x - 5/2
Step-by-step explanation:
y = 2x – 1
Current slope is 2, perpendicular is opposite inverse which is -1/2.
y-intercept through point (-5, 0):
y = mx + b
0 = -1/2(-5) + b
0 = 5/2 + b
b = -5/2
Use the perpendicular slope and b above to form new equation of line:
y = mx + b
y = -1/2x - 5/2
On a piece of paper, graph y-3 > 2x + 2. Then determine which answer
choice matches the graph you drew.
A
B
с
D
56(0.5
56(0.5)
56(0,5)
5°(0,5
-5 (-3,-1)
5
-5 (-3,-1)
5
5 (-3,-1)
5
6 (-3,-1)
5
-5
A. Graph A
B. Graph B
c. Graph C
D. Graph D
9514 1404 393
Answer:
C. Graph C
Step-by-step explanation:
All of the graphs show the boundary line with the correct slope and y-intercept. To figure which graph, you can ignore everything except "y" and the inequality symbol. That means we're looking at ...
y >
So, the values of y that are solutions are greater than those on the boundary line. The values on the boundary line are not included. This means the shading of the solution area is above the dashed boundary line, as shown in Graph C.
9
A car mechanic charges an initial fee to inspect a car plus an hourly rate to repair the car if no new parts
are needed. The total charges for the inspection and repair of cars with no new parts needed are shown in
the table below
The Mechanic's Bill
Number of
Total
Hours
Worked
Charges
$25
$60
2
$95
$130
4
$165
Which equation best represents the linear relationships between y, the total charges in dollars, and x, the
number of hours the mechanic worked?
0
1
3
A y = x + 35
B y = x + 60
cy - 35x + 25
Dy = 35x +60
Answer:
C) is correct answer
Step-by-step explanation:
In pic
(Hope this helps can I pls have brainlist (crown)☺️)
The equation y = 35x +25 represents the linear relationship between y, the total charges in dollars, and x, the number of hours the mechanic worked.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The given table shows the relationship between the total charges and the number of hours worked by the mechanic.
Number of hours worked, x Total charges, y
1 60
2 95
3 130
4 165
Let the equation for this relationship:
y = mx + c ....(i)
From the table, we can see that the mechanic charges an initial fee of $60, and then an additional $35 for each hour worked.
Here, m = {(95-60)/(2-1)} = 25
60 = 25(1) + c
c = 60 - 25 = 35
So, the equation is y = 25x + 35
Therefore, the equation y = 35x +25 represents the linear relationship.
Learn more about the equation here:
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#SPJ2
I will give brainliest!
Answer:
48 meters
Step-by-step explanation:
The drawing will be twice as large in all dimensions. The perimeter will be the same, 48 meters. The new scale for the new drawing should reflect that 1 unit on the drawing = x meters. In both cases the perimeter will be the same. The drawing size and scale factors are different. When you get to a scale of 1:1, you'll have an actual drawing with a perimeter of 48 meters.
A boy needs to grill 13 pounds of meat for a cookout. Determine the Maximum cost per pound that he can afford if he wants to spend the most $70 on his meat purchase
Answer:
$5.38 per pound
Step-by-step explanation:
70/13=5.384615
5.38x13=69.94
The number of students spent time useing electronic devices is ? Times the number of hours spent playing sports
Answer this math problem
[tex]\\ \sf{:}\dashrightarrow \dfrac{w^2}{25}+45w+155[/tex]
w=1[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+45(52)+155[/tex]
[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2340+155[/tex]
[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2495[/tex]
[tex]\\ \sf{:}\dashrightarrow 2+2495=2498[/tex]
What is the value of b?
b
B+42
B-20
Answer:
b=22°
Step-by-step explanation:
because b+42=b+b-20
b+42=2b-20
b-2b=-20-42
-b=-22
b=22°
fifteen minutes past eight in the evening on a 24 hour clock
Answer:
20:15
Step-by-step explanation:
Answer:
A quarter past eight.
Step-by-step explanation:
-2/5x12 equivalent expressions
Answer:
-4.8
Step-by-step explanation:
so you * Good Times by 5 and each time you do by 12
A math book at Housatonic Community College cost the bookstore $84 to purchase. They sell it for $126. What percent markup did the bookstore charge?
10 ft
8 ft
I
Find the area of this figure. Round your
answer to the nearest hundredth. Use
3.14 to approximate .
A = [? ] ft?
=
Line b passes through points (6, 7) and (1, 1). Line c passes through points (7, 10) and (2, 4). Are line b and line c parallel or perpendicular?
Answer:
b and c are parallel lines
Step-by-step explanation:
Parallel lines have equal slopes
The product of the slopes of perpendicular lines = - 1
Calculate the slopes m of the lines using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, 7 ) and (x₂, y₂ ) = (1, 1 )
[tex]m_{b}[/tex] = [tex]\frac{1-7}{1-6}[/tex] = [tex]\frac{-6}{-5}[/tex] = [tex]\frac{6}{5}[/tex]
Repeat with (x₁, y₁ ) = (7, 10 ) and (x₂, y₂ ) = (2, 4 )
[tex]m_{c}[/tex] = [tex]\frac{4-10}{2-7}[/tex] = [tex]\frac{-6}{-5}[/tex] = [tex]\frac{6}{5}[/tex]
Since slope are equal then line b and line c are parallel lines
Round 171,936 to the nearest ten thousand
Answer:
Rounding = 170,000
Your answer is → 170,000
5) Cuando 102 se divide por 2/3 la respuesta es
Answer:
Cuando 102 se divide por 2/3 la respuesta es 153
Step-by-step explanation:
102 : 2/3 =
102 * 3/2 =
51 * 3 =
153newton's second law of motion States that the acceleration of an object is directly proportional to the force exerted on the object. if an object accelerates at a rate of 3 m/s2 , it will exert a force of 15 N. how much force will the same object exert if it accelerates at a rate of 7 m/s2?
pls pls pls help (๑•﹏•)
Answer:
Step-by-step explanation:
F=(2kg)×(3ms2). ∴F=6kgms2=6 Newton. =6N. Therefore, Force required to accelerate the body is 6N
The force the same object will exert if it accelerates at a rate of 7 m/s² is 35 N
From the question,
We have that,
Newton's second law of motion states that the acceleration of an object is directly proportional to the force exerted on the object
Let a represent the acceleration and F represent the force exerted
Them we can write that
F ∝ a
Introducing a constant, m, which is the mass of the object
Then, we get
F = ma
From the question,
If an object accelerates at a rate of 3 m/s² , it will exert a force of 15 N
We will the determine the mass, m, of the object using the above formula
F = ma
We have that
a = 3 m/s²
F = 15 N
Using
F = ma
Then,
15 = m × 3
m = 15÷3
∴ m = 5kg
Now, we can determine the force the same object would exert if it accelerates at at rate of 7 m/s²
Using the same formula
F = ma
a = 7 m/s²
m = 5 kg
∴ F = 5 × 7
F = 35 N
Hence, the force the same object will exert if it accelerates at a rate of 7 m/s² is 35 N
Learn more here: https://brainly.com/question/20357188
An electrician cuts off two 93’ pieces and four 12 -foot pieces of conductor from 1240 feet reel. How much of the reel is left?
code for the below question
We have to calculate the area of a rectangle, a square and a circle. Create an
interface 'Shape' with three methods declarations namely 'RectangleArea' taking two
parameters, 'SquareArea' and 'CircleArea' taking one parameter each. The parameters
of 'RectangleArea' are its length and breadth, that of 'SquareArea' is its side and that of
'CircleArea' is its radius. Now create another class 'Area' containing all the three
methods 'RectangleArea', 'SquareArea' and 'CircleArea' for printing the area of
rectangle, square and circle respectively. Create an object of class 'Area' and call all the
three methods.
Step-by-step explanation:
can I use python?
yes or no
Simplify this expression 5xy - x2 + 2xy + 3x2
Answer: 5xy-x2t+2xy+3x2t Final result : x • (2xt + 7y) Step by step solution : Step 1 :Equation at the end of step 1 : ((5xy-((x2)•t))+2xy)+(3x2•t) Step 2 : Step 3 :Pulling out like terms : ...
Step-by-step explanation:
Answer:
2 [tex]x^{2}[/tex] + 7 x y
Step-by-step explanation:
Please help slove thw following expression
Answer:
i think the answer is 38 because u first answer 4x5 and then 7x7 and then 3x5 and hlthen u subtract 20 from 15 and then u add 5 and 42 and then when u get ur answer of 47 u subtract 9
Marco needs to buy cat food. At the nearest store, 6 bags of cat food cost 19.50. How much would Marco spend on 3 bags of cat food. proportional relationships
6 bags cost 19.50
3 is half of 6
we need to find half of 19.50
in your calculator type 19.50/2
you'll find 9.75,
Hope this helped!
the equation for the vertical line that goes through point V (−5, 17).
Answer:
The answer to the above question is x = -5