Answers
The domain and range of the function is given by D:{x|∞<x<∞} and
R:{y|∞<y<∞}
In the given graph we can see that the graph is of straight line .
We know that the straight line graph of the function is of the form
y = mx + c
Now we can say that the graph of the given function is of that form.
The graph passes through (-7,0) and (-5,3)
Slope of the line= 3 / 2
Equation of the line is
y-3 = -3/2(x+5)
or, 2y+3x+9 = 0
Here the domain will be all possible values of x and range will be all possible values of y.
Domain : {x|∞<x<∞}
Range : {y|∞<y<∞}
A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values.
A is the domain and B is the co-domain if a function f: A →B exists that maps every element in A to an element in B. 'b', where (a,b) R, provides the representation of an element 'a' under a relation R.
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Related Questions
X^2 + 2x - 3x -6 simplified
Answers
Answer:
[tex]x^{2}[/tex] -x -6
Step-by-step explanation:
You combine the like terms 2x and -3x which is -x
need help with this one
Answers
The number of real solution of the system y = [tex]3x^2[/tex] and y = 3x - 2 is zero
The system of equations are
y = [tex]3x^2[/tex]
y = 3x - 2
Then the equation will be
[tex]3x^2[/tex] = 3x - 2
Move 3x - 2 to the left hand side of the equation
[tex]3x^2[/tex] - 3x + 2 = 0
Find the value of [tex]b^2[/tex] - 4ac
Here value of a = 3
The value of b = -3
The value of c = 2
Substitute the values in the expression
= [tex](-3)^2[/tex] - 4×3×2
= 9 - 24
= -15
Here the value of [tex]b^2[/tex] - 4ac is -15
Therefore there is no real valued solution
Hence, the number of real solution of the system y = [tex]3x^2[/tex] and y = 3x - 2 is zero
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a manufacturing machine has a 1% defect rate. if 8 items are chosen at random, what is the probability that at least one will have a defect?
Answers
a manufacturing machine has a 1% defect rate. if 8 items are chosen at random, then the probability that at least one will have a defect is 0.077255 or 7.72 %
Given data
defect rate = 1%
no of sample = 8
to find out
probability at least one will have a defect solution
we know here probability of defect is
Probability (defect) = 0.01
and n is 8
so
probability (at least one defect is) = 1 - probability (none)
we know probability (none) = 0.99^n
probability (none) = 0.99^8
put this in equation 1
probability (at least one defect is) = 1 - 0.99^8
probability (at least one defect is) is 0.077255 or 7.72 %
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9-6 Worksheet: Dilations
Graph the polygon and its image after a dilation with the given scale factor
1. J(2, 4), K(4, 4), P(3, 2); r = 2
5.1-2.
ty
of
X
Answers
The coordinates of the polygon before and after dilation is below
preimage image
J (2, 4) J' (4, 8)
K (4, 4) K' (4, 4)
P (3, 2) P' (6, 4)
How to find the coordinates of the imageDilation is a method of transformation that magnify or shrink the preimage depending on the scale factor
The transformation rule for dilation is as follows
(x, y) for a scale factor of r → (rx, ry)
following similar procedure for the given problem we have
preimage image
J (2, 4) → (2 * 2, 4 * 2) → J' (4, 8)
K (4, 4) → (4 * 2, 4 * 2) → K' (8, 8)
P (3, 2) → (3 * 2, 2 * 2) → P' (6, 4)
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15% discount on $60 plus 5% tax
Answers
op op op op op o plnlbloblbbjbb
two trains going in opposite directions leave at the same time. one train tave4ls 15 mph faster than the other. in 6 hours the trains are 630 miles apart. find the speed of each
Answers
Using the formula of speed, the speed of first trains is 45 mph and the speed of second train is 60 mph.
In the given question, we have to find the speed of each.
Two trains going in opposite directions leave at the same time.
One train tavels 15 mph faster than the other.
In 6 hours the trains are 630 miles apart.
Let the speed of the first vehicle be s mph, then according to the question, the speed of the second vehicle would be (s+15) mph.
Let the first vehicle covers the distance D(1) and the second one D(2) in the prescribed time.
So, find the distance covered by the first vehicle in 6 hours by using the formula
Distance = Speed × Time
So the distance D(1) is;
D(1) = s*6
D(1) = 6s
So the distance D(2) is;
D(2) = (s+15)*6
D(2) = 6s+90
Since, after 6 hours both the vehicles are at the distance 630 miles. So, the sum of the two distances D(1) and D(2) will be equal to 630.
D(1)+D(2) = 630
Puttimg the value of D(1) and D(2)
6s+6s+90=630
Simplifying
12s+90=630
Subtract 90 on both side we get
12s=540
Divide by 12 on both side we get
s=45 mph
So the value of speed of the faster vehicle
s+15 = 45+15
s+15 = 60 mph
Hence, the speed of first train is 45 mph and the speed of second train is 60 mph.
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the waitress at the restaurant provided really good service so you and your friends decided to add on an 20% tip to your $32 bill. how much money will be added onto the bill for the tip?
Answers
Using the concepts of ratio and proportion, we got that $6.4 as the money will be added onto the bill for the tip to the the waitress at the restaurant who provided really good service.
We are given that we are giving the waitress 20% tip, means that apart from the actual bill we give her 20% of actual bill cost
So, 20%of $32 is given by
=(20/100)×32
=32/5
=$6.4
Hence, if the waitress at the restaurant provided really good service, so me and my friends decided to add on an 20% tip to your $32 bill, the money that will be added onto the bill for the tip is $6.4
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The numbers of pairs of shoes sold during the 10
days of the sale were:
86 84 100 97 96 88 89 60 78 99
For the numbers of pairs of shoes sold in the New
Year sale:
Find the median
Answers
The median of the given data is 88.5
The value that, when a dataset is arranged, falls exactly in the middle is the median. It is a measure of central tendency that distinguishes between the values' lowest and maximum 50%. Depending on whether you have an odd or an even number of data points, the processes for calculating the median change.
Given the numbers of pairs of shoes sold during the 10 days of the sale were:
86 84 100 97 96 88 89 60 78 99
We have to determine the median for the given data
The data given must be arranged in ascending order.
60, 78, 84, 86, 88, 89, 96, 97, 99, 100
median = middle most value
∴ 88,89 are middle values
∴ Median =(88+89)/2
= 177/2
= 88.5
Therefore the median of the given data is 88.5
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|| x²-2x|-|3x-20|| = |x²+x-20|.
Find the positive integral value of x
Answers
Answer:
x ∈ {2, 3, 4, 5, 6}
Step-by-step explanation:
You want the positive integer solutions of ||x²-2x|-|3x-20|| = |x²+x-20|.
DomainsEach of the absolute value functions has turning points where the argument is zero. Those turning points are ...
x²-2x ⇒ x(x-2) = 0 ⇒ turning points at x=0 and x=2
3x-20 ⇒ x -20/3 = 0 ⇒ turning point at x=20/3
x²+x-20 ⇒ (x+5)(x-4) = 0 ⇒ turning points at x=-5 and x=4
In numerical order, the turning points are ...
x ∈ {-5, 0, 2, 4, 20/3}
These divide the domain of the equation into 6 intervals. Since we are concerned only with positive integer solutions, we are only interested in the intervals ...
[0, 2), [2, 4), [4, 20/3), [20/3, ∞)
Domain [0, 2)In this domain, x²-2x < 0, 3x-20 < 0, and x²+x-20 < 0. This means the equation becomes ...
|-(x² -2x) +(3x -20)| = -(x² +x -20)
The difference in the absolute value bars is negative, so we get the equation ...
-(-x² +2x +3x -20) = -x² -x +20
2x² -4x = 0 . . . . . . . add x²+x+20
x = 0 . . . . . x = 2 is not in the domain
There are no positive integer solutions in this domain.
Domain [2, 4)In this domain, x²-2x > 0, 3x-20 < 0, and x²+x-20 < 0. This means the equation becomes ...
|(x² -2x) +(3x -20)| = -(x² +x -20)
The difference in the absolute value bars is negative, so we get the equation ...
-(x² -2x +3x -20) = -x² -x +20
0 = 0 . . . . . . . . . . . . add x² +x -20
2 ≤ x < 4 . . . . . . . . all x-values in the domain are solutions
The positive integer solutions are x = 2, x = 3.
Domain [4, 6 2/3)In this domain, x²-2x > 0, 3x-20 < 0, and x²+x-20 > 0. This means the equation becomes ...
|(x² -2x) +(3x -20)| = x² +x -20
The difference in the absolute value bars is positive, so we get the equation ...
(x² -2x +3x -20) = x² +x -20
0 = 0 . . . . . . . subtract x² +x -20
4 ≤ x < 6 2/3 . . . . . . . . . all values of x in the domain are solutions
The positive integer solutions are x = 4, x = 5, x = 6.
Domain [6 2/3, ∞)In this domain, x²-2x > 0, 3x-20 > 0, and x²+x-20 > 0. This means the equation becomes ...
|(x² -2x) -(3x -20)| = x² +x -20
The difference in the absolute value bars is positive, so we get the equation ...
x² -2x -3x +20 = x² +x -20
-6x +40 = 0 . . . . . . . subtract x² +x -20
x = 6 2/3 . . . . . . . add 6x, divide by 6
There are no positive integer solutions in this domain.
The positive integer values of x are {2, 3, 4, 5, 6}.
Carl is boarding a plane. He has 222 checked bags of equal weight and a backpack that weighs 4 \text{ kg}4 kg4, start text, space, k, g, end text. The total weight of Carl's baggage is 35 \text{ kg}35 kg35, start text, space, k, g, end text.
Write an equation to determine the weight, www, of each of Carl's checked bags.
Answers
The weight of each of his checked bags will be; 15.5 kg.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given that; Number of checked bags = 2
Backpack weight = 4 kg
The total weight of Carl's baggage 35kg
Let w be the weight of each checked bag.
Weight of 2 checked bags = 2w
It can be found as; Weight of 2 checked bags + Backpack weight = Total weight of Carl's baggage
Then;
2w + 4 = 35
Subtract 4 from both sides;
2w + 4 = 35
2w = 31
Divide 2 from both sides;
w = 15.5
Therefore, the weight of each of his checked bags will be; 15.5 kg.
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How many ounces are in 4 pounds?
*
5 points
48 ounces
36 ounces
64 ounces
16 ounces
2. Divide: 1,111 ÷ 11 = ____________ (Write out)
*
5 points
11
111
101
110
3. Subtract: 6000 - 3,444= _______ ( write out)
*
5 points
2,456
2,656
2,556
2,655
4. Would a bottle of shampoo contain about 400ml or 400 liters?
*
5 points
400 ml
400 liters
5. Multiply: 3,540 x 9 = __________ ( write out to solve)
*
5 points
31,660
31,680
31,860
31,760
6. Any number multiplied by zero is equal to _____.
*
5 points
10
0
100
5
7. Mr. Williams left his house at 7:30. he drove for 4 hours and 20 minutes. At what time did he reach his destination? (hint: create a clock line.)
*
5 points
11:30
11:50
12:30
1:00
8. 7 x 6 = _______
*
5 points
13
42
54
49
9. Find the missing minuend. 92 - ____= 58
*
5 points
38
36
34
44
10. Subtract: $ 43.99 - $18.45= ________ (remember: Whenever you add or subtract using decimals, they MUST BE LINED UP.)
*
5 points
$25.45
$25.44
$25.54
$24.54
11. Divide: 4,842 ÷ 2= _________ (write out)
*
5 points
2,241
2,421
2,412
2,402
12. Multiply: 15 x 14 = _________ ( write out)
*
5 points
220
210
190
240
13. IF it is 11:50 now, what time was it 3 hours and 20 minutes ago? (hint: create a clock line.)
*
5 points
8:30
9:30
8:50
10:30
14. Find the estimated sum of 953 and 413.
*
5 points
≈1150
≈1350
≈1250
≈1500
15.Add: 5,218 + 6,970 = ________. (write out)
*
5 points
12, 218
12,178
12,188
13,168
16. Divide: 54 ÷ 9 = ____________. Hint: think related facts.
*
5 points
7
6
8
5
17. Arianna baby-sat from 7:00pm until 12:00 am. IF she earns $ 4.50 per hour for babysitting, how much did she earn? (multi-step. solve for the time first.)
*
5 points
$18.00
$20.50
$16.50
$22.50
18. Select a rectangle that shows 5/6 shaded.
*
5 points
A
B
C
D
19. Multiply: 12 x 3 = ______
*
5 points
24
36
18
46
20. A closed figure made up of three or more line segments that do not intersect is a _______________.
*
5 points
pentagon
polygon
hexagon
heptagon
Answers
am answering from two to ten
What is the largest y-value that satisfies this system?
1/2(x-3)(x-2)=y
2(x-1/2)=y
Answers
Answer: 15
Step-by-step explanation:
screenshot
Answer:
What is the largest y-value that satisfies this system?
1/2(x-3)(x-2)=y
2(x-1/2)=y
Step-by-step explanation:
the first one has a binomial times a binomial which you have to do the generic rectangle if you did you would get
x² - 5x + 6 = y you keep parenthesis and the 1/2 and bring down to get
1/2(x² - 5x + 6) = y then distribute
1/2x² - 5/2 + 3 = y
2(x - 1/2) = y the distribute and get
2x - 1 = y
so the first one has the largest y-value
Problem: A company has a small budget for printing presentation handouts for an important meeting. The function 2x + y = 20 represents the relationship between the remaining budget balance, y, in dollars if printing
Question: What is the y-intercept of this situation and what does it represent?
Answers
The y-intercept of this situation is -20 and it means, the remaining budget balance is -20 dollars if no printing presentation handouts
In this question, we have been given a function 2x+y=20 that represents the relationship between the remaining budget balance(y) dollars in dollars if printing x presentation handouts.
We write given equation in slope-intercept form,
y = -2x - 20
when x = 0,
y = -20
So, y-intercept is -20
This means, the remaining budget balance is -20 dollars if no printing presentation handouts (x = 0).
Therefore, the y-intercept of this situation is -20 and it means, the remaining budget balance is -20 dollars if no printing presentation handouts
Given question is incomplete.
The complete question is:
A company has a small budget for printing presentation handouts for an important meeting. The function 2x+y=20 represents the relationship between the remaining budget balance, y, in dollars if printing x presentation handouts. What is the y-intercept of this situation and what does it represent?
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Find the greatest common factor of 20 and 25. Factors of 201 Factors of 25: ____ Greatest common factor: ____ please help me
Answers
Answer:
factors of 20: 1, 2, 4 , 5, 10, 20
factors of 25: 1, 5, 25
gcf: 5
Step-by-step explanation: the common factors of 20 and 25 is 1 and 5. the greater one is 5, therefore the gcf is 5.
hope this helps!! :)
Solve for t. t squared=9
Answers
Answer:
3
Step-by-step explanation:
3 x 3 = 9
A point (x, y) is on the unit circle. If its y-coordinate is 1/2 and the point lies in Quadrant I, what is the other coordinate?
Express your answer as a fraction, NO DECIMALS!
Answers
The other coordinate is x = [tex]\sqrt{3} /2[/tex].
Given:
A point (x, y) is on the unit circle. If its y-coordinate is 1/2 and the point lies in Quadrant I.
we know that :
In unit circle radius r = 1.
[tex]x^{2} +y^{2} = r^{2}[/tex]
[tex]x^{2} +(1/2)^2 = 1^2[/tex]
[tex]x^{2} +1^2/2^2 = 1[/tex]
[tex]x^2 + 1/4 = 1[/tex]
[tex]x^{2} = 1-1/4[/tex]
[tex]x^{2} = 4- 1 / 4[/tex]
[tex]x^{2} =3/4[/tex]
[tex]x =[/tex] ±[tex]\sqrt{3/4}[/tex]
[tex]x =[/tex] ±[tex]\sqrt{3} /2[/tex]
since x is in first quadrant it has only positive value
[tex]x =\sqrt{3} /2[/tex].
Therefore the other coordinate is x = [tex]\sqrt{3} /2[/tex].
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Find the distance between the pair of points.
(-21, -3) and (-23, -19)
(Round to the nearest thousandth as needed.)
PLS HELP THIS IS DUE TODAY!!!!
Answers
Answer:
15.13 units
Step-by-step explanation:
Write an equation of the line that passes through (1, 2) and is perpendicular to the line y = x + 4.
Answers
The equation of the line is y = -x +3
We need to calculate the line which is perpendicular to y = x +4 and passes through the point (1, 2)
The given equation is y = x +4
Comparing this equation with the general equation of the line, y = mx +c, we get the slope of the equation as 1
Now, When two lines are perpendicular to each other, the product of their slopes is -1.
So, the slope of the required equation is -1.
Now, the equation of the line which passes through the points, and has slope m, is given by
[tex]y - y_{1} = m(x -x_{1} )[/tex]
Putting the values in the general equation, we get,
y - (2) = -1(x - 1 )
y - 2 = -x +1
y = -x +3
The equation of the line is y = -x +3.
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Hi! I have no idea if I did this question right something feels wrong. Can anyone help me? Thank you a lot!
Answers
Answer:
Step-by-step explanation:
1 is correct
2 is correct
3 is wrong
4 is correct
5 is correct
6 is wrong
7 is wrong
For 7:
360 - 90 - 61 - 65
= 144
For 6:
180 - 144
= 36
For 3:
180 - 115 - 36
= 29
(3^4)^2 as a product question below help
Answers
The expression (3⁴)² in repeated multiplication is (3⁴) * (3⁴)
How to rewrite the expression as products?From the question. the expression is given as
(3⁴)²
The task is that we rewrite the expression as products i.e. repeated multiplication
This in other words means that:
We rewrite the (3⁴)² as repeated multiplication
To do this, we apply the exponent rule of indices
This rule states that:
a^m = a * a * a .... in m places
So, we have
(3⁴)² = (3⁴) * (3⁴)
Hence, the equivalent expression is (3⁴) * (3⁴)
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Solve proportion using the multiplication property of equality 1/5 = t/3
Answers
Solving the proportion using the multiplication property of equality gives
t = 3/5 How to solve the equation using the multiplication property of equalityThe both ratio showing fractions of one-fifth on the left hand side of the equation is equal to the right hand side of the equation which have t as the numerator and 3 as the denominator
The fractions will be solves by cross multiplying as below
1/5 = t/3
5 * t = 3 * 1
5t = 3
dividing through by 5
5t / 5 = 3 / 5
t = 3/5
plugging in t back to the initial equation gives
1/5 = t/3
1/5 = 3/5 / 3
1/5 = 1/5
Therefore t = 3/5
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Which equation represents the same line as the points in the table?
y= −x−7y is equal to negative x minus 7
y= −x
x= −y
y= −x+5
Answers
The equation of line passes through the points (2, 0) and (0, -1) will be;
⇒ y = 1/2 x - 1
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (2, 0) and (0, -1).
Now,
Since, The equation of line passes through the points (2, 0) and (0, -1).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (- 1 - 0) / (0 - 2)
m = - 1 / - 2
m = 1 / 2
Thus, The equation of line with slope 1 / 2 is,
⇒ y - 0 = 1 / 2 (x - 2)
⇒ y = 1/2 x - 1
⇒ y = 1/2 x - 1
Therefore, The equation of line passes through the points (2 , 0) and
(0, - 1) will be;
⇒ y = 1/2 x - 1
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f the pattern in the table is extended to represent more equivalent ratios for 2:6, which pair of numbers would be in the columns? A multiplication table. In the column labeled 2, the numbers 2, 4, 6, 8, 10, 12, 14, 16, and 18 are highlighted. In the column labeled 6, the numbers 6, 12, 18, 24, 30, 36, 42, 48, and 54 are highlighted. 20 would be in the column for 2, and 60 would be in the column for 6. 20 would be in the column for 6, and 60 would be in the column for 2. 20 would be in the column for 2, and 56 would be in the column for 6. 20 would be in the column for 6, and 56 would be in the column for 2. please hurry im in a rush
Answers
The pair of numbers that would be in the columns, considering the proportional relationship, is given as follows:
20 would be in the column for 2, and 60 would be in the column for 6.
What is a proportional relationship?A proportional relationship is a special linear function, with intercept having a value of zero, in which the output variable is obtained with the multiplication of the input variable and the constant of proportionality k, as shown as follows:
y = kx
The table is extended to represent more equivalent ratios for 2:6, hence the constant of the relationship is given as follows:
k = 6/2 = 3.
Hence the equation is:
y = 3x.
The values given by each column are given as follows:
Column 2: values of x.Column 6: values of y.When x = 20, the numeric value of the relationship is of:
y = 3 x 20 = 60.
Hence the first option is correct.
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Jim gets $50 every 10 minutes, He needs $114058 to buy something. How many hours will he need to get $114058?
Answers
Answer:
380.2 hours
Step-by-step explanation:
find how much he receives an hour:
$50/10min × 6 = $300/hr
find out the number of hours it takes:
$114,058 ÷ $300 = 380.19hours
≈ 380.2 hours (to 1 decimal point)
mark's brother is five years older than mark. their combined ages add up to 23. how old is mark's brother?
Answers
Based on the sum of their ages, Mark's brother is 14 years old.
Let us assume the age of Mark be x. Now forming the equation based on mentioned information.
Mark's age = x
Mark's brother's age = x + 5
x + x + 5 = 23
Performing addition on Left Hand Side of the equation
2x + 5 = 23
Shifting 5 to Right Hand Side of the equation
2x = 23 - 5
Performing subtraction on Right Hand Side of the equation
2x = 18
Shifting 2 to Right Hand Side of the equation
x = 18a1 ÷ 2
Performing division on Right Hand Side of the equation
x = 9
So, Mark's age = 9
Mark's brother's age = 9 + 5
Mark's brother's age = 14
Hence, Mark's brother's age is 14 years.
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7. What is the slope of the line that passes through the pair of points (2, 5) and (8, 3)?
1/3
-1/3
3
-3
Answers
Answer:
The answer would be -1/3.
Step-by-step explanation:
If you plug the coordinates into slope formula (y 2 - y 1 )/ (x 2 - x 1) , you'd have 3-5 over 8-2, and once you solve that, you'll have -1/3 as your slope. Hope this helps ! :D
PLEASE MARK AS BRAINLIEST!! <3
Graph the line that passes through the points (3,-7) and (-3, 5) and determine
the equation of the line.
Answers
A graph of the line that passes through the points (3, -7) and (-3, 5) is shown in the image attached below. Also, the equation of this line is y = -2x - 1.
How to determine the equation of this line?Mathematically, the slope of a straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Based on the information provided, the points on the line include the following:
Points (x, y) = (3, -7)Points (x, y) = (-3, 5)Substituting the given points into the formula, we have;
Slope, m = (5 - (-7))/(-3 - 3)
Slope, m = (5 + 7)/(-6)
Slope, m = 12/-6
Slope, m = -2
At point (3, -7), a linear equation for the line can be calculated by using the point-slope form:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y represent the points.c represent the y-intercept.Substituting the given points into the formula, we have;
y - y₁ = m(x - x₁)
y + 7 = -2(x - 3)
y + 7 = -2x + 6
y = -2x + 6 - 7
y = -2x - 1
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When 20 tons of iron ore are smelted, 12 tons of iron are obtained. How much iron is obtained when 45 t of iron ore is smelted?
Answers
Answer:
Step-by-step explanation:
It is clear that after smelting the amount of iron obtained is 12\20 = 60%.
Therefore when 45t is smelted the amount obtained = 60% x 45t
= 27t
Given m ||n, find the value of x.
t
(x-17)
(5x-1)
Answers
Linear pair of x for the given figure will be 33
Linear pair:
Linear pair of angles are formed when two lines intersect each other at a single point.
The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
The sum of angles of a linear pair is always equal to 180°.
For the given figure,
m ||n
given angles are (x-17)° and (5x-1)° ,both the angles are linear pair.
using the properties of linear pair,
Sum of the angles will be equal to 180°
that is,
(x-17)° + (5x-1)° =180°
(x + 5x) + (-17 -1) = 180
6x - 18 = 180
6x = 180 + 18
6x =198
x = 198/6
x =33
Thus, the value of x will be 33
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Consider rolling two number cubes, each of which has its faces numbered from 1 to 6. The cubes will be rolled and the sum of the numbers landing face up will be recorded. Let the event E represent the event of rolling a sum of 5. How many outcomes are in the collection for event E ? Responses
Answers
The outcomes in the collection for event E is four and they are (1, 4) (2,3) (3,2) (4, 1).
Two number cubes, each of which has its faces numbered from 1 to 6 is rolled.
The cubes will be rolled and the sum of the numbers landing face up will be recorded.
The total sample space for two cubes = 6² = 36
Let the event E represent the event of rolling a sum of 5
Total possible outcomes for a sum of 6 is (1, 4) (2,3) (3,2) (4, 1)
We need to find the probability of event E, P(E)
P(E) = possible outcomes/ sample space
P(E) = 4/ 36 = 1/9
Therefore, the outcomes in the collection for event E is four and they are (1, 4) (2,3) (3,2) (4, 1).
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