A die is rolled. The set of equally likely outcomes is (1, 2, 3, 4, 5, 6). Find the probability of getting a 3.

Answers

Answer 1

Answer:

Step-by-step explanation:

1/6

Answer 2

The probability of getting 3 is 1/6.

What is the probability?

Probability is defined as the possibility of an event to be happened which is the ratio of no. of favorable outcomes and total no. of outcomes.

Probability of an event = P(E) = No. of favorable outcomes/Total No. of outcomes

Here given that the dice are fair and six-sided is rolled.

Total no. of outcomes by rolling the dice = 6 i.e. {1,2,3,4,5,6}

The event is to get the number 3 by rolling the dice.

The favorable outcome is = {3}

Number of favourable outcomes= 1 i.e. {3}

As the dice is the set of equally likely outcomes.

Probability of getting 3 = P(getting 3)= No. of favorable outcomes/Total No. of outcomes= 1/6

Therefore the probability of getting 3 is 1/6.

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Related Questions

Find the value of x. 4^3 = x

Answers

Answer:

x=64

Step-by-step explanation:

А At a concessan stand l hot dog and one hamburger cost $4.One hotdog and
5
Hamburgers cost $13
Find the cost of one hot dog and the cost of one hamburger ?

Answers

Answer:

2.25

Step-by-step explanation:

let x be cost of a hotdog

let y be cost of hamburger

 

so,

 

5x + 4y = 17.75                    eq. 1

4x + 5y = 18.25                    eq. 2

 

manipulate eq. 1 so solve for x:

 

5x = 17.75 - 4y

 

x = 17.75/5 - (4/5)y

 

x = 3.55 - (4/5)y                  eq. 3

 

substitute eq. 3 to eq. 2:

 

4(3.55 - (4/5)y) + 5y = 18.25

 

14.2 - (16/5)y + 5y = 18.25

 

14.2 + (9/5)y = 18.25

 

(9/5)y = 18.25 - 14.2

 

4.05= (9/5)y

 

y = 2.25

 

x = 3.55 - (4/5)(2.25)

 

x = 1.75

 

hotdog costs $1.75

hamburger costs $2.25

How many quarts does a 100 liter tank hold?

Answers

Answer:     84.535 Quartas.

Step-by-step explanation:

g Find the standard deviation for the number of female college students out of 15 that plan to graduate with a STEM degree.

Answers

Complete question is;

In a recent poll of female college students, 70% stated that they plan to graduate with a STEM degree. A math teacher at ODU decides to randomly sample 15 female college students. Find the standard deviation for the number of female college students out of 15 that plan to graduate with a STEM degree.

Answer:

σ = 1.77

Step-by-step explanation:

We are told that 70% stated that they plan to graduate with a STEM degree.

This means that probability of success is; p = 70% = 0.7

A sample of 15 female college students were randomly selected, this means that number of trials is;

n = 15

Now,in binomial distribution formula for standard deviation is;

σ = √(np(1 - p))

Plugging in the relevant values, we have;

σ = √(15 × 0.7 × (1 - 0.7))

σ = √(15 × 0.7 × 0.3)

σ = √3.15

σ ≈ 1.77

The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean sales volume is 14 automobiles per month. The manager wants to conduct a research study to see whether the new bonus plan increases sales volume. To collect data on the plan, a sample of sales personnel will be allowed to sell under the new bonus plan for a one-month period.
A. Which form of the null and alternative hypotheses most appropriate for this situation.
B. Comment on the conclusion when H0 cannot be rejected.
1. No evidence that the new plan increases sales.
2. The research hypothesis ? > 24 is supported; the new plan increases sales.
C. Comment on the conclusion when H0 can be rejected.
1. No evidence that the new plan increases sales.
2. The research hypothesis ? > 24 is supported; the new plan increases sales.

Answers

Answer:

A) Null Hypothesis: H0: μ ≤ 14

Alternative hypothesis: Ha: μ > 14

B) If the null hypothesis H0 is not rejected, it means that there is no sufficient evidence to support the claim that new bonus plan increases

sales volume.

C) If the null hypothesis is rejected, it means there is sufficient evidence to support the claim that the new bonus plan increases sales volume

Step-by-step explanation:

A) We are told that the mean sales volume is 14 automobiles per month.

The hypotheses is defined as follows;

Null Hypothesis: H0: μ ≤ 14

Alternative hypothesis: Ha: μ > 14

B) If the null hypothesis H0 is not rejected, it means that there is no sufficient evidence to support the claim that new bonus plan increases

sales volume.

C) If the null hypothesis is rejected, it means there is sufficient evidence to support the claim that the new bonus plan increases sales volume.

Help me three questions please really easy I promise answer

Answers

Answer:

1.y=-2x+7

2. no

3.yes

Step-by-step explanation:

HELP ME ASAP!!! I WILL MARK BRAINLIEST!!

Answers

Its the last one Brand A is more expensive and is 2$ and Brand B is $1.5

Answer:

Brand A ($2) is more expensive than Brand B ($1.50)  (see below)

Step-by-step explanation:

First, you will have to find the slopes of both lines. Slope is y/x, which is the cost/meter or cost per meter.

Using the slope formula:

          y2 — y1

m  =   ---------------

           x2 — x1

Plug in any two points from both lines:

          y2 — y1

m  =   ---------------  = graph 1 (0, 0), (1,2)

           x2 — x1

            2 — 0

m  =   ---------------

             1 — 0

                2

m  =   ---------------  = $2/m

                1

_______graph 2_______

          y2 — y1

m  =   ---------------  = graph 2 (0, 0), (4, 6)

           x2 — x1

            6 — 0

m  =   ---------------

            4 — 0

                6                  3

m  =   ---------------  = -----------  = $3/2 m

                4                  2

Because you are unable to have an exact cost per meter of Brand B, you can use a ratio:

$3  =  $x

2m =  1m

Cross multiply:

3 (1) = 2x

3 = 2x

x = (3 ÷ 2)

x = 1.5

So Brand B is $1.50 per meter while Brand A is $2.00 per meter. Brand B is cheaper.

MO bisects ∠LMN, m∠NMO =6x-20,and 2x+36. Solve for x and find m∠LMO

Answers

Answer:

fwe

Step-by-step explanation:

Caleb earns $2 for each package delivery he makes in addition to $65 per day. He wants to earn more than $87 each day. Use the inequality 2+65≥87 to determine how many packages, p, Caleb must deliver each day. are made of living cells?

Answers

Answer:

Caleb must deliver at least 11 packages a day

P=11

What is the determinant of A=
3
1
11
-1

Answers

-14 is the Determinant of given matrices A.

What is the determinant?

A scalar value connected to the square matrix is known as the determinant. If X is a matrix, then |X| or Det is used to indicate the matrix's determinant (X).

Given a Mtrix A:

3       1

11     -1

The formula for the determinant of a matrix:

The determinant of a 2x2 matrix A = [ a b c d ] is |A| = ad - bc. It is simply obtained by cross-multiplying the elements starting from the top left and then subtracting the products.

In our case,

Determinants of A = (3 * -1 ) - (1 * 11)

Determinants of A = -3 -11

Determinants of A = -14

Therefore, the Determinant of given matrices A is -14.

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Complete question:

What is the determinant of

A=  3       1

       11     -1

variation does not depend on that of another.
#6 THE SOLUTION FOR F(X) = 3X + 2 WHEN F(X) IS 2 IS

Answers

Answer:

0

*see below incase you worded it wrong

Step-by-step explanation:

then we substitute 2 for f(x)

2 = 3x + 2

0 = 3x

x = 0

UNLESS you mean f(2) is what then that is:

f(2) = 3(2) + 2 = 8

hope that helps!

Answer the question below, and then fill in the blanks if necessary.
Can the distributive property be used to rewrite
8 X (10 – 3)?
Yes
No
If yes, fill in the blanks below.
8 x (10 - 3) = ( , ) - ( , )

Answers

Answer:

Yes

80-24

Step-by-step explanation:

Using distributive property, multiply 8 by 10 and 8 by negative 3.


12-14 plzzz if u see the picture

Answers

Answer:

I can't see it very well sorry

I NEED HELP HERE ASAP, I’m giving brainliest to the right one. I forgot how to solve this:/

Answers

Answer:

28 weeks

Step-by-step explanation:

It says that $42 was 1/3 of her total. So you multiply $42 by 3 and you get $126. You now divide $126 by her weekly allowance, $4.5, and the answer is 28.

1. $42 x 3 = $126

2. $126/$4.5 = 28

3. The answer is Sharon has been saving her allowance for 28 weeks.

Hope this helps!

-Jerc

Answer:

She has been saving her money up for 28 weeks.

Step-by-step explanation:

1. If 42 is 1/3 of her money, then you would multiply 42 by 3 to get the full 3/3 so: 423=126

2. Next, you would divide $126 by $4.50 because that is the total amount of money divided by how much she saved up each week, so: 126/4.5=28 and that gives us the answer which is 28.

Which best proves why the expressions 4 (x + 3) + 2 x and 6 (x + 2) must be equivalent expressions?
1.When x = 3, both expressions have a value of 30.
2.When x = 5, both expressions have a value of 42.
3.When x = 1, both expressions have a value of 18, and when x = 8, both expressions have a value of 60.
4.When x = 2, both expressions have a value of 15, and when x = 6, both expressions 5.have a value of 39.

Answers

Answer:

2

Step-by-step explanation:

I think

Due today HELP PLEASEEEEE!!!

Answers

Answer:

Oiiiiio ka cha thik cha

If an angle measuring 18 ° is bisected to form two new angles , what is the measure of each new angle ?

Answers

Answer:

9 degrees

Step-by-step explanation:

18/2=9

34(8x – 6) – 2 = 12 – x

Answers

Answer:

sorry for my handwriting

i think this is the correct answer

Which functions are symmetric with respect to the origin?

y = arcsinx and y = arccosx
y = arccosx and y = arctanx
y = arctanx and y = arccotx
y = arcsinx and y = arctanx

Answers

Answer:

y=arcsinx and y=arctanx

Step-by-step explanation:

The functions that are symmetric with respect to the origin will be y = arcsin x and y = arctan x. Then the correct option is D.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

Simply put, inverse trigonometric operations are the opposites of the fundamental trigonometric parameters sine, cosine, secant, cosecant, tangent, and cotangent.

Axial symmetrical is similarity around an axis; an item is internally symmetric if it retains its appearance when turned around an axis.

The functions that are symmetric with respect to the origin will be y = arcsin x and y = arctan x. Then the correct option is D.

The diagram is given below.

More about the function link is given below.

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Tim and Tom are trying to earn money to buy a new game system over a 3-month period. Tim saved $45.69 each month. If they need a total of $214.53 to buy the game system, how much does Tom need to earn each of the 3 months in order to buy the game system?
A.25.82
B.103.07
C.77.46
D.168.84

Answers

Answer:

A. 25.82

Step-by-step explanation:

(3*Tim)+(3*tom)=214.53

(3*45.69)+(3*tom)=214.53

137.07+(3*tom)=214.53

-137.07+(3*tom)=214.53-137.07

3*tom=77.46

tom/3=77.46/3

tom=25.82

Yousuf needs 7 4/9 yards of fabric to make blanket for his mom for Mother’s Day. He found 3 1/3 yards of pink fabric. How much more does he need to finish the blanket
A. 4 1/9
B. 10 7/9
C. 4 3/9
D. 10 1/9

Answers

The answer is B!
Hoped I Helped!
If I’m wrong don’t blame me
He needs A. 4 1/9 of fabric

Oct 16, 12:30:47 PM
Wyatt has 6 cups of yogurt to make smoothies. Each smoothie uses cup of yogurt.
What is the maximum number of whole smoothies Wyatt can make with the yogurt?

Answers

Wyatt would be able to make 6 whole smoothies.
6 Smoothies

Mark Brainliest

There are (26)3⋅ 20 bacteria in a sample. What is the total number of bacteria in the sample? (1 point)

Answers

Answer: If we multiply then I guess it’s 26*3=78 and 78*20=1,560

Step-by-step explanation:

What is the asymptote of the function g(x) = 5.2 3x + 4 shown on the graph?
Y=0
Y=3
Y=4
Y=5

Answers

Answer:

Y=4

Step-by-step explanation:

Answer:

Y=4

Step-by-step explanation:

f(x) =2x-4 and g(x) =-3x+2 find: f(g(x))

Answers

Answer:

f(g(x))=6x-8

Step-by-step explanation:

To keep it simple lets say if , for example

[tex]f(x)=2x-4[/tex]

then f(2) would be what?

[tex]f(2)=2(2)-4\\f(2)=0[/tex]

which means we plugged in x=2 in our f(x) this goes for same as the composite function [tex]f(g(x))[/tex] where we plug in g(x) in f(x) and replace x with g(x). I'll show you

[tex]f(x)=2x-4\\g(x)=-3x+2\\[/tex]

now we insert g(x) in f(x) cause we need f(g(x)) which means we replace x with the function g(x).

[tex]f(g(x))=-2(-3x+2)-4[/tex]

[tex]f(g(x))=6x-4-4\\f(g(x))=6x-8[/tex]

so that is our final answer.

Hope i helped

The following is the prime factorization of which composite number? 2 to the 2nd power times 3 to the 2nd power times 5

120
60
20
180

Answers

2 to the 2nd power times 3 to the second power times 5

4 X 9 X 5 = 36 X 5 = 180

so the answer is 180


hope this helps

HELP PLEASE PLEASE 50 PTS
The polynomial is missing the coefficient of the third and last terms.
729x3 – 1,458x2y + ____xy2 – ____y3
If the polynomial is factorable using the binomial theorem, what is the coefficient of xy2?
324
648
972
1,944

Answers

Answer:

C

Step-by-step explanation:

Ed2021

The missing coefficient of xy² is 972, option C is correct.

What is Polynomial?

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial is 729x³ – 1,458x²y + ____xy² – ____y³

To find the missing coefficients, we can use the fact that the polynomial is factorable using the binomial theorem.

According to the binomial theorem, the expansion of (a + b)^3 is:

(a + b)³ = a³ + 3a²b + 3ab² + b³

Comparing this with the given polynomial, we can see that a = 9x and b = -2y.

Substituting these values in the binomial theorem, we get:

(9x - 2y)³ = (9x)³ + 3(9x)²(-2y) + 3(9x)(-2y)² + (-2y)³

Simplifying this expression, we get:

729x³ - 1,458x²y + 972xy² - 8y³

Therefore, the missing coefficient of xy² is 972, option C is correct.

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9(r) = -1 - 77
Evaluate function

Answers

it would be 9(r) = -78

Given the function h(x) = x2 – 7x + 8, determine the average rate of change of
the function over the interval 2 < x < 10.

Answers

The average rate of change of the function over the interval 2 < x < 10 is 5

How to determine the average rate?

The function is given as:

h(x) = x^2 - 7x + 8

Calculate h(2) and h(10)

h(2) = 2^2 - 7 * 2 + 8

h(2) = -2

h(10) = 10^2 - 7 * 10 + 8

h(10) = 38

The average rate is then calculated as:

Rate = (h(10) - h(2))/(10 - 2)

This gives

Rate = (38 + 2)/(10 - 2)

Evaluate

Rate = 5

Hence, the average rate of change of the function over the interval 2 < x < 10 is 5

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Solve the problem by entering and solving an equation.
A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches. What is the width of the frame?

Answers

Given : A rectangular picture frame has a perimeter of 52 inches. The height of the frame is 12 inches.

To Find : The width of the frame .

Solution : Let us take the width of the frame be x . So , we know the formula to find the perimeter of rectangle as ;

[tex]\boxed{\red{\bf Perimeter_{rectangle}=2(l+b)}}[/tex]

Where , l is the length of the rectangle and b is the breadth of the rectangle .

⇒ Perimeter = 2 ( l + b ) .

⇒ 52 in. = 2 ( 12 + x ) in.

⇒ 52 in.= 24in. + 2x .

⇒ 2x =( 52 - 24 ) in

⇒ 2x = 28 in.

⇒ x = 28/2 in.

⇒ x = 14 in.

Hence the width of the rectangle is 14 inches.

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