Answer:
Strain Hardening as name implies, physical straining of metal is induced to increase strength and thus load carrying capacity of the specimen under consideration. The level of straining is dependent on the increased strength required. Strains are classified into two as 'Lateral Strain' which is decrease of cross sections and 'Linear Strains' which is increase in physical extensions (usually 'length') of the specimen.
Step-by-step explanation:
i planted 12 flower bulbs. this is 60% i purchased. how many total bulbs did i purchase?.
let's say "x" is the whole lot and thus the 100%.
we know 12 is 60%, how much is "x" or 100%?
[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 12&60 \end{array}\implies \cfrac{x}{12}=\cfrac{100}{60}\implies \cfrac{x}{12}=\cfrac{5}{3} \\\\\\ 3x=60\implies x=\cfrac{60}{3}\implies x=20[/tex]
The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 1 minute. At the Warren Road MacBurger, the quality-assurance department sampled 50 customers and found that the mean waiting time was 2.75 minutes. At the 0.05 significance level, can we conclude that the mean waiting time is less than 3 minutes? State the null hypothesis and the alternate hypothesis. State whether the decision rule is true or false: Reject H0 if z < −1.645. True False Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) What is your decision regarding H0? Reject H0 Do not reject H0 What is the p-value? (Round your answer to 4 decimal places.) Next Visit question mapQuestion 3 of 4 Total 3 of 4 Prev
The p-value is 0.0768. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis.
- Decision regarding H0: Reject H0
- p-value: 0.0768.
The null hypothesis (H0) states that the mean waiting time is 3 minutes or more, while the alternate hypothesis (H1) states that the mean waiting time is less than 3 minutes.
- Null hypothesis (H0): μ ≥ 3
- Alternate hypothesis (H1): μ < 3
The decision rule is to reject H0 if the test statistic (z-score) is less than -1.645.
To compute the test statistic (z-score), we use the formula:
[tex]\[ z = \frac{{\bar{x} - \mu}}{{\frac{\sigma}{\sqrt{n}}}} \][/tex]
Where:
- [tex]\(\bar{x}\)[/tex] is the sample mean waiting time (2.75 minutes)
- [tex]\(\mu\)[/tex] is the population mean waiting time (3 minutes)
- [tex]\(\sigma\)[/tex] is the population standard deviation (1 minute)
- [tex]\(n\)[/tex] is the sample size (50)
Substituting the given values:
[tex]\[ z = \frac{{2.75 - 3}}{{\frac{1}{\sqrt{50}}}} \][/tex]
[tex]\[ z = \frac{{-0.25}}{{0.1414}} \][/tex]
[tex]\[ z ≈ -1.768 \][/tex]
Since -1.768 is less than -1.645, we reject the null hypothesis.
To find the p-value, we look up the z-score (-1.768) in the standard normal distribution table. The corresponding area to the left of -1.768 is approximately 0.0384. Since this is a one-tailed test, we multiply by 2 to get the total probability of both tails:
[tex]\[ p-value ≈ 2 \times 0.0384 = 0.0768 \][/tex]
Thus, the p-value is 0.0768. Since the p-value is less than the significance level of 0.05, we reject the null hypothesis.
Complete questions:
The waiting time for customers at MacBurger Restaurants follows a normal distribution with a population standard deviation of 1 minute. At the Warren Road MacBurger, the quality-assurance department sampled 50 customers and found that the mean waiting time was 2.75 minutes. At the 0.05 significance level, can we conclude that the mean waiting time is less than 3 minutes? State the null hypothesis and the alternate hypothesis. State whether the decision rule is true or false: Reject H0 if z < −1.645. True False Compute the value of the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) What is your decision regarding H0? Reject H0 Do not reject H0 What is the p-value? (Round your answer to 4 decimal places.)
Write a formula for quadratic function if its graph has the vertex at point ( 1/3 ,−3) and passes through the point (1,1).
Answer:
f(x) = 9(x -1/3)^2 -3
Step-by-step explanation:
In vertex form the equation of a quadratic with vertical scale factor "a" and vertex (h, k) is ...
y = a(x -h)^2 +k
To make the equation have (1, 1) as a solution, we need to find the value of "a". We can put the point coordinates in the equation and solve for "a":
1 = a(1 -1/3)^2 -3 . . . . . for (h, k) = (1/3, -3) as given
1 = (4/9)a -3 . . . . simplify
4 = (4/9)a . . . . . . add 3
9 = a . . . . . . . . . . multiply by 9/4
The quadratic function you desire is ...
f(x) = 9(x -1/3)^2 -3
can someone teach me how to do this because the online class i take doesn't really teach us the way i learn stuff like i need a formula not how they got the answer and no formula anyways help
x =
1
3
7
Answer:
If what you are doing here is trying to get the value of x then:
Those two lines passing through the circle are secants.
Now, a formula I was taught in class is:
(outside)(whole) = (outside)(whole)
**1 SEGMENT'S VALUES PER SIDE** **DO NOT MIX**
"Outside" represents the value of the segment which is found outside of the circle.
The "whole" would be the outside segment plus the inside segment.
Thus, the formula would be:
(4)(9+4) = (x)(x + 12)
Next, you would simplify by adding, multiplying, and doing the distributive property:
(4)(13) = (x)(x + 12)
52 = x² + 12x
In this case, you would have to use the quadratic formula, while at other times, you could simply move around the terms and get the square root of a number.
Set the equation to zero:
x² + 12x - 52 = 0
Next plug-in the values
(-b (+ or -)√b² - 4 (a)(c) )/ (2)(a)
(-(12) (+ or - )√12² - 4(1)(-52)) / (2)(1)
(-12 (+ or -) √144 + 208) / 2
(-12 (+ or -) √352) / 2
Now, the square root of 352 would be approximate, since 352 is not a perfect square.
352 is approximately 18.7616630393 or, when rounded to the nearest hundredth, 18.76.
So.....
(-12 (+ or -) 18.76) / 2
Solve for both the + and the -
(-12 + 18.76) /2 = (approximately) 3.38 = x
(-12 - 18.76)/2 = (approximately) -15.38 = x
Therefore, x would be equal to 3.
Prove that for all whole values of n the value of the expression:
n(n+2)–(n–7)(n–5) is divisible by 7.
Explanation:
Multiply it out, collect terms, and look for a factor of 7:
n(n +2) -(n -7)(n -5) = n² +2n -(n² -12n +35)
= 14n -35
= 7(2n -5)
The expression has a factor of 7, so is divisible by 7 with a resulting quotient of 2n-5.
I need the solution and the work for it... for each of the multiple choices.
For this case we have the following equation:
[tex]x ^ 3 = 375[/tex]
We must find the value of "x":
We apply cube root on both sides of the equation to eliminate the exponent:
[tex]x = \sqrt [3] {375}[/tex]
We can write 375 as [tex]5 ^ 3 * 3[/tex]
So:
[tex]x = \sqrt [3] {5 ^ 3 * 3}\\x = 5 \sqrt [3] {3}[/tex]
Then, the correct options are:
[tex]x = \sqrt [3] {375}\\x = 5 \sqrt [3] {3}[/tex]
Answer:
Option A and B
The function g(x) = x2 + 3. The function f(x) = g(x+2)
Answer:
x2+3
Step-by-step explanation:
The selected value is 3 units up from g (x), the correct option is C.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
g(x) = x2 + 3.
f(x) = g(x+2)
Now,
Using these rules, we can fill in the blanks as follows:
The function g(x)+3. The function f(x) = g(x+2),
The function /(x) is shifted horizontally
Select a Value
2 units left from g (x).
The function /(x)is shifted vertically
Select a Value
3 units up from g (x).
Therefore, the answer of the function will be 3 units up from g (x).
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HELP PLZ I BEG U BRAINLIEST AND 20 POINTS!!!!!!
Answer:
AB = (2 +2√3)r
Step-by-step explanation:
Let X be the point of tangency of circle O3 and AB. Then length XO3 is r. The triangle BXO3 is a 30°-60°-90° right triangle. You know this because BO3 bisects the 60° angle at B of the equilateral triangle ABC.
A 30°-60°-90° triangle has side lengths in the ratios 1 : √3 : 2. That means side XB of triangle BXO3 has length r√3. The distance from A to the point of tangency of AB with circle O1 has the same measure.
Of course the distance between those points of tangency is the same measure as the distance between centers O3 and O1: 2r. So, the total length of AB is ...
AB = r√3 + 2r + r√3
AB = (2 +2√3)r
Bob and Fred together make $20.00 a week less than double John. John makes $110.00 a week and Bob makes $140.00 a week. How much does Fred make? answer
If both Bob and Fred make $20 less a week than twice John's weekly salary, then
[tex]B+F+20 = 2*J[/tex],
where B, F, and J are Bob's, Fred's, and John's salaries, respectively.
We want to find F, Fred's salary. Plugging in Bob's and John's salaries, we obtain
[tex]140+F+20 = 2*110[/tex]
[tex]F+160 = 220[/tex]
[tex]F = 60[/tex]
So Fred makes $60 a week.
Answer:
Fred makes $60/week.
Step-by-step explanation:
Fred makes f dollars per week, john j dollars and bob b dollars.
Then b = $140/week; j = $110/week; and b + f = 2j - 20.
Substitute $140/week for b in this equation; also substitute $110/week for j. Then:
$140/week + f = 2($110) - $20. There's only one variable here, f, so we're ready to solve for f:
$140/week + f = $220/week - $20/week, or:
$140/week + f = $200/week
Subtract $140 from both sides, obtaining:
f = $60
Fred makes $60/week.
What are the values of x and y? [tex]-2x+3y=8\wedge2x-3y=10[/tex]
Answer:
no solutions
Step-by-step explanation:
-2x+3y=8
2x-3y=10
We can use elimination to solve for x and y
Add the two equations together
-2x+3y=8
2x-3y=10
---------------------
0 = 18
Since this is never true, there are no solutions to this system of equations
Which could be the area of one face of the triangular prism? Check all that apply
Area of rectangles = Length x width.
Area of triangles = 1/2 x base x height.
1 face is 12 x 10 = 120 square units
1 face is 12 x 8 = 96 square units
1 face is 12 x 6 = 72 square units
And 2 faces are 1/2 x 8 x 6 = 24 square units
Answers are 24 , 72 and 96 square units.
Answer:
A.24 Square units
C.72 Square units
D.96 Square units
Step-by-step explanation:
I got it right edge 2020.
–4y=10 in standard form
Answer:
Already in standard form
Step-by-step explanation:
-4y=10
-4y= by
10= c
And in this case ax=0x, so it will not show up in the equation
0x-4y=10, which is already in standward form
-4y=10 divide both sides by -2, so 2y=5 subtract 5 from both sides,
2y-5=0
Find the distance on the coordinate system from the point (-3,4)to the point (8,-7)Find
To find the distance between two points on a coordinate system, we can use the distance formula, which is derived from the Pythagorean theorem.
Explanation:To find the distance between two points on a coordinate system, we can use the distance formula. The distance formula is derived from the Pythagorean theorem and is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using the given points (-3,4) and (8,-7), we can plug in the coordinates into the formula:
d = sqrt((8 - (-3))^2 + (-7 - 4)^2)
Simplifying the equation, we get:
d = sqrt(11^2 + (-11)^2)
Finally, calculating the square root, we find that the distance between the two points is sqrt(242), which is approximately 15.56 units.
Thus, the distance on the coordinate system from the point (-3,4)to the point (8,-7) is fond to be 15.56 units.
Find the solution set for the equation, given the replacement set.
y = –5x + 8; {(6, –11), (4, –12), (5, –9), (3, –14)}
a.
{(6, –11)}
c.
{(4, –12)}
b.
{(3, –14)}
d.
{(5, –9)}
Answer:
c. {(4, -12)}
Step-by-step explanation:
It is convenient to rearrange the equation to standard form:
5x +y = 8
Then check the offered points.
(6, -11): 5·6 -11 = 19 ≠ 8
(4, -12): 5·4 -12 = 8 . . . . . . this is in the solution set
(5, -9): 5·5 -9 = 16 ≠ 8
(3, -14): 5·3 -14 = 1 ≠ 8
To find the solution set, substitute the x and y values into the equation and check if it is true.
Explanation:To find the solution set for the equation, we need to check which coordinates from the replacement set satisfy the equation y = -5x + 8.
For (6, -11): Substituting x = 6 and y = -11 into the equation, we get -11 = -5(6) + 8, which simplifies to -11 = -30 + 8. This is not true, so (6, -11) is not a solution.For (4, -12): Substituting x = 4 and y = -12 into the equation, we get -12 = -5(4) + 8, which simplifies to -12 = -20 + 8. This is not true, so (4, -12) is not a solution.For (5, -9): Substituting x = 5 and y = -9 into the equation, we get -9 = -5(5) + 8, which simplifies to -9 = -25 + 8. This is not true, so (5, -9) is not a solution.For (3, -14): Substituting x = 3 and y = -14 into the equation, we get -14 = -5(3) + 8, which simplifies to -14 = -15 + 8. This is true, so (3, -14) is a solution.The solution set for the equation, given the replacement set, is {(3, -14)}.
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12. Complete the property of exponents. (ab)n = _______
A. an + bn
B. anbn
C. abn
D. an – bn
Answer:
(B) is the homogeneous mixture
Which statement is best represented by the inequality d>11?
A. Mo worked more than 11 hours this week.
B. Mo worked 11 more hours than Quinn worked this week.
C. Mo worked less than 11 hours this week.
D. Mo worked 11 less hours than Quinn worked this week.
For this case we have the following inequality:[tex]d> 11[/tex]
Assuming that "d" is the variable that represents the number of hours worked by Mo during this week, we have that the hours were greater than 11, according to the inequality sign.
So, the correct option is:
Mo worked more than 11 hours this week.
Answer:
Option A
Answer: a
Step-by-step explanation:
Adrian, Ben and Charlie share some sweets in the ratio of 8:5:10.
Charlie got 24 more sweets than Adrian.
Work out the total number of sweets.
Answer:
252 candies
Step-by-step explanation:
Let A = 8x
Let B = 5x
Let C = 10x
10x = 8x + 24 Subtract 8x from both sides
10x - 8x = 24 Do the subtraction
2x = 24 Divide by 2
2x/2 = 24/2 Do the division
x = 12
So Adrian has 8*12 = 96 candies.
Ben has 5 * 12 = 60 candies
Charlie has 10*12 = 120 candies
Total = 276 candies
The total number of sweets shared by Adrian, Ben, and Charlie is 276,
To solve how many sweets were shared by Adrian, Ben, and Charlie, with the given ratio of 8:5:10 and knowing Charlie got 24 more sweets than Adrian, we can set up a ratio problem. Let the ratio part be 'x', so Adrian has 8x sweets, Ben has 5x sweets, and Charlie has 10x sweets. As Charlie got 24 more sweets than Adrian, we can write the equation 10x = 8x + 24. Solving this equation for 'x' gives us x = 12. Thus, Adrian has 96 sweets (8 x 12), Ben has 60 sweets (5 x 12), and Charlie has 120 sweets (10 x 12). Adding these together gives us a total of 276 sweets.
55) Louis started a simple interest savings account with $1500 that earned 3.5% interest. He left the account untouched until some
55) Louis started a simi
time later when he withdrew all the money in that account, which totaled $1683.75. How long did Louis leave his money in the
account? years
Answer:
3.5 years
Step-by-step explanation:
Each year, Louis earned
$1500×0.035 = $52.50
in interest.
The amount of interest that had been credited to his account at the time of withdrawal was ...
$1683.75 -1500.00 = $183.75
Then the length of time the money had been in the account was ...
$183.75/($52.50/yr) = 3.5 yr
_____
Comment on the problem
We have assumed the account earned simple interest. Given the neatness of the answer, we believe that to be a correct assumption.
A physician prescribes alprazolam for a patient on an as needed basis. The patient can take up to 2.25mg per day in divided does. If alprazolam comes in .25 mg tablets, how many tablets can the patient take throughout the day?
Answer:
9
Step-by-step explanation:
If n is the number of tablets, the maximum value it can have is given by ...
0.25n = 2.25
Dividing by the coefficient of n gives ...
n = 2.25/0.25 = 9
The patient can take a total of 9 tablets through the day.
Answer:
The answer is 2:9
Step-by-step explanation:
On plato
what are the coefficients in the polynomial 5x^2+2x-4
A. 5, 2
B. -5, -2
C. 5, 2, -4
D. 5, -2, -4
Answer:
A. 5,2
Step-by-step explanation:
Coefficients are numbers with a variable next to it (ex. 5 in 5x^2).
Can I have some help here?
Answer:
-9⃣ = t
Step-by-step explanation:
You know that 6 - ? = -12, so just simply deduct six from both sides, leaving you with -18 = 2t; -9⃣ = t.
Write the equation for the parabola that has x− intercepts (−4,0) and (1.5,0) and
y-intercept (0,−15).
Answer:
y = 2.5(x +4)(x -1.5) = 2.5x^2 +6.25x -15
Step-by-step explanation:
Each given zero corresponds to a factor that is zero at that point. Those factors are (x +4) and (x -1.5).
The y-intercept tells us the scale factor, the multiplier that is needed to make the function value be -15 at x=0.
y = a(x +4)(x -1.5) = a(0 +4)(0-1.5) = -6a
-15 = -6a
-15/-6 = a = 2.5
So, the quadratic is ...
y = 2.5(x +4)(x -1.5) = 2.5x^2 +6.25x -15
___
"The equation" can be written in many different forms. The simplest, given the information here, is the factored form (also called "intercept form"). We have also shown "standard form" (US version). The "standard form" (UK version) is also known as vertex form:
y = 2.5(x +1.25)^2 -18.90625
What is the value of x?
Find the ratio of the bases: 15 in / 5 in = 3
The triangle on the right side is 3 times larger.
X = 8 * 3
x = 24 inches.
Rhonda completed the right column of the table to help her find the sum of 1/2 and 1/3 in which Step did her first error occur
Step 4
The numerator of this fraction is right because there are 5 shaded sections, but the denominator is incorrect because there are 6 total boxes, not 5.
Hope this helps!!
Answer:
the answer is C step 3
Step-by-step explanation:
because out side the box said 1/2 when its 3/6 and the question sais
In which step did her first error occur? so thats the firt the second one
its 1/3 when its 2/6. Hope it helps :)
A farmer wants to build a rectangular pen with 80 feet of fencing. The pen will be built against the wall of the barn, so one side of the rectangle won’t need a fence. What dimensions will maximize the area of the pen?
Answer:
20 ft out from the wall by 40 ft parallel to the wall
Step-by-step explanation:
Let x represent the length of fence in the direction parallel to the wall. Then the other dimension of the rectangular pen is (80 -x)/2. The area is the product of these dimensions:
area = x(80 -x)/2
This function describes a downward-opening parabola with zeros at x=0 and x=80. The vertex (maximum) is halfway between the zeros, at x=40.
The dimensions are 40 ft parallel to the wall and 20 ft out from the wall.
Length l=40 and Breadth b=20 will maximize the area of the pen.
let us take 'l' as the length of the rectangular pen.
'b' as the width of the rectangular pen.
let us assume that the barn will be built opposite to length.
so, according to the given condition
l +b+b=80
l+2b=80......(1)
area of the rectangular pen = lb= (80-2b)b
f(b)= (80-2b)b.......(2)
How to check the local maxima?to get local maxima, differentiate the function and equate to zero, get the point say it 'x'
again check double derivative if its value is negative the point 'x' will give the maximum value of the function.
to maximize the area
let us derivate the f(b)= (80-2b)b
f'(b)= 80-4b=0
b=20
f"(b)= -4(-ve)
means we will have local maxima at b=20
it means at b=20, we will get maximum area.
l = 80-2b=80-2*20=40
therefore, l=40 and b=20 will maximize the area of the pen.
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If P=(-2,5) and (x,-27), find all numbers x such that the vector represented by PQ has length -40
Answer:
x ∈ {-26, 22}
Step-by-step explanation:
A graph shows that the points (-26, -27) and (22, -27) lie on a circle of radius 40 centered at (-2, 5). That is, if Q is either one of these points, the vector PQ will have a length of 40:
√((-26-(-2))^2 +(-27-5)^2) = √((-24)^2 +(-32)^2) = √1600 = 40√((22 -(-2))^2 +(-27 -5)^2) = √(24^2 +(-32)^2) = √1600 = 40You can call it -40 if you like, but you have to define what negative length means when you do that.
Gertrude took out a 30-year loan for $95,000 at 8.4% interest, compounded monthly. If her monthly payment on the loan is $723.75, how much of her first payment went toward note reduction?
Answer:
$58.75
Step-by-step explanation:
The monthly interest rate is 8.4%/12 = 0.7%, so the first month's interest is ...
$95,000×0.007 = $665
The amount of the first payment that goes to note reduction is the part that does not go for paying interest. That difference is ...
$723.75 - 665.00 = $58.75
Answer:$58.75
Step-by-step explanation:
The National Football League (NFL) polls fans to develop a rating for each football game (NFL website, October 24, 2012). Each game is rated on a scale from 0 (forgettable) to 100 (memorable). The fan ratings for a random sample of 12 games follow. 57 61 86 74 72 73 20 57 80 79 83 74 a. Develop a point estimate of mean fan rating for the population of NFL games. b. Develop a point estimate of the standard deviation for the population of NFL games.
The point estimates for the mean and standard deviation of the given data set is respectively; 68 and 17.6.
What is a point Estimate?
A) In order to find the point estimate of the mean, we will add up the data and divide it by the number of values.
Here,
∑x = 57 + 61 + 86 + 74 + 72 + 73 + 20 + 57 + 80 + 79 + 83 + 74
= 816
n = 12 numbers
Thus;
Mean = ∑x/n
= 816/12
Mean = 68
B) In order to find the estimate of the standard deviation, we have the formula;
s = √[(n*(∑x²) - (∑x)²)/n(n - 1)]
∑x² = 57² + 61² + 86² + ... + 74²
= 59,010
s = √[ (12*(59,010) - (816)²)/(12)(11)]
s = 17.6
Hence, The point estimates for the mean and standard deviation of the given data set is respectively; 68 and 17.6.
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g(n)=25−49(n−1) complete the recursive formula?
My answer:
g(1)=25
g(n)=g(n-1)+?
What is ?
Answer:
• g(1) = 25
• g(n) = g(n-1) -49
Step-by-step explanation:
You can get a clue by filling in n=2 in the explicit formula:
g(2) = 25 -49(2-1) = 25 -49 = g(1) -49
The explicit formula is of the form for an arithmetic sequence:
g(n) = g(1) +d(n-1) . . . . where g(1) is the first term and d is the common difference
Of course, this translates to the recursive formula ...
• g(1) = g(1)
• g(n) = g(n-1) +d
Here you have g(1) = 25, and d = -49. Filling these into the recursive form, you get ...
• g(1) = 25
• g(n) = g(n-1) -49
Answer:
• g(1) = 25
• g(n) = g(n-1) -49
Step-by-step explanation:
You can get a clue by filling in n=2 in the explicit formula:
g(2) = 25 -49(2-1) = 25 -49 = g(1) -49
The explicit formula is of the form for an arithmetic sequence:
g(n) = g(1) +d(n-1) . . . . where g(1) is the first term and d is the common difference
Of course, this translates to the recursive formula ...
• g(1) = g(1)
• g(n) = g(n-1) +d
Here you have g(1) = 25, and d = -49. Filling these into the recursive form, you get ...
• g(1) = 25
• g(n) = g(n-1) -49
A 6 sided die is rolled. Find the probability that either a 3 or a 5 is the number on top
The probability of rolling either a 3 or a 5 on a six-sided die is 1/3, or about 0.3333, as there are two favorable outcomes (3 or 5) and six possible outcomes in total.
Explanation:The question asks to find the probability of rolling either a 3 or a 5 when a fair six-sided die is rolled. The sample space for a six-sided die is {1, 2, 3, 4, 5, 6}. To calculate the probability of rolling either a 3 or a 5, we need to count the favorable outcomes, which are 2 (rolling a 3 and rolling a 5), and divide this by the total number of possible outcomes, which is 6.
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability (rolling a 3 or 5) = 2 / 6 = 1 / 3.
Therefore, the probability of rolling either a 3 or a 5 on a six-sided die is 1/3, or approximately 0.3333.