Nine balls, each marked with a number from 1 to 9, are placed in a bag and one ball is taken at random. What is the probability that the number on the ball is multiple of 2?

A.1/9
B.2/9
C.4/9
D.1

Answers

Answer 1

Total balls=sample space=9

Multiples of 2

{2,4,6,8}

Total multiples=4

Probability

4/9

Option C

Answer 2

Hello, the answer should be [tex]\frac{4}{9}[/tex], C option.

First, let's define the numbers that are a multiple of 2 from the balls we have.

2468

Then, we will calculate our probability. To do this correctly, we must divide the amount of expected states into the amount of all the states.

Expected numbers: 2-4-6-8

All numbers: 1-2-3-4-5-6-7-8-9

[tex]P=\frac{{2,4,6,8}}{1,2,3,4,5,6,7,8,9} =\frac{4}{9}[/tex]

Good luck! If you have any questions, then feel free to ask in comments!


Related Questions

i need help pllllzzzzz help help

Answers

Answer:

a = 84/14

Step-by-step explanation:

The next step you would divide by 14 to get a=6 so I think the program wants you to input a = 84/14

Kenzie is looking for a __ job. She would most likely be paid __

Answers

Answer:

Kenzie looking for a job that has benefits. She'd like to work in one place and not have to search for a new job anytime soon. Kenzie is looking for a Full-time job. She would most likely be paid an hourly wage, by the project.

Step-by-step explanation:

Can someone help me with this question?

Answers

Answer:

5 possible outcomes

1. All 4 are heads,

2. All 4 are tails,

3. 3 are heads and 1 tails,

4. 2 are heads and 2 are tails,

5. 1 is tails and three are heads.

Step-by-step explanation:

On one side of a coin it’s heads, and on the other it’s tails.


there are 4 coins

(Coin side, coin side, coin side, coin side)

Possibilities;


(Heads, heads, heads, heads)

all four coins are heads

(Heads, tails, heads, heads)
three coins are heads and one tails

(Heads, tails, tails, heads)
two coins are heads, two coins are tails

(Heads, tails, tails, tails)

one coin is heads, the other three are tails

(Tails, tails, tails, tails)

all four coins are tails.

5 possible outcomes

Graph on the same axes: y =x^2-4 and y=4-x^2. Write an equation for the part of the graph which is above of the x-axis.​

Answers

The graph can be seen at the end, and the piecewise function for the part above the x-axis is:

f(x) = x^2 - 4 if  x ∈ (-∞, -2] or x ∈ [2, ∞)

f(x) = 4 - x^2 if x  ∈ (-2, 2).

How to write the equation?

First, we need to graph both functions, so we can see when each one is positive, the graphs of:

y = x^2 - 4

y = 4 - x^2

Can be seen at the end.

So, the first function is positive in the interval (-∞, -2] and [2, ∞), and the second function is positive in the interval (-2, 2)

So for the part of the function above the x-axis we have a piecewise function:

f(x) = x^2 - 4 if  x ∈ (-∞, -2] or x ∈ [2, ∞)

f(x) = 4 - x^2 if x  ∈ (-2, 2).

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Answer:

y= |x^2-4|

Step-by-step explanation:

Once you graph y=x^2-4 and y=4-x^2, you will get a graph like the first picture. The equation for the parts above the x-axis would be y=|x^2-4| and would graph like the second picture.

Find the surface area of the cone to the nearest square unit. Use π = 3.14.

Answers

Answer:

339.12 cm²

Explanation:

surface area of cone: πr² + πrl

where "r" is radius, "l" is slant height

Here given:

radius: 6 cmslant height: 12 cm

Solve for surface area:

πr² + πrl(3.14)(6)² + (3.14)(6)(12)113.04 + 226.08339.12 cm²
radius=r=6cml=12cm

So

TSA

πr(r+l)π(6)(6+12)6π(18)108π339.12cm²

can someone help me with this thank you
10+5h = 25
thank you thank you thank you

Answers

Answer:

h=3

Step-by-step explanation:

Here's the explanation

Move 10 to the other side

5h=25-10

5h=15

h=15/5

h=3

10+5h=25

10+5h-10=25-10

5h=15

[tex]\frac{5h}{5}=\frac{15}{5}[/tex]

h=3

the answer is 3

Solve using substitution

Answers

Answer:

The answer should be "No Solution" as these lines never meet each other

PLEASE HELP ILL MARK BRAINEST!!!!

Answers

(4,2) because it’s all odds on x go up by 2 and on f(x) it goes down by 5’s

Find the surface area of the cone in terms of pie
23 cm
14 cm

Answers

Answer:

550 sq. cm

Step-by-step explanation:

Attached above (answer):-

17. Write interval notation for the given graph.

Answers

Answer:

D

Step-by-step explanation:

The interval notation for the graph :

-5 ≤ x ≤ 7[5, 7]
The correct answer is D !

10. Find the standard equation of the circle having the given center and radius.

Answers

(X-2)^2+(y-4)=2.25
Standard form is (x-h)^2+(x-k)^2=r^2

Which equation best represents the data? y = –1.026x2 1016.402x – 162075 y = –1.036x2 1024.771x – 163710 y = 298.214x – 66317.667 y = 196.2x – 18710

Answers

Based on the items produced, and the profit yielded from those items, the best model to represent the data is y = -1.026x² + 1,016.402x - 162,075.

Which model shows the profit and items produced best?

You can find this out by testing the models using the items produced (independent or "x" value) to see if the model produces a close enough y value.

Assuming x is 100:

= -1.026x² + 1,016.402x - 162,075

= (-1.026 x 100²) + (1,016.402 x 100) - 162,075

= -$70,694.80

Assuming x is 400:

= -1.026x² + 1,016.402x - 162,075.

= (-1.026 x 400²) + (1,016.402 x 400) - 162,075.

= $80,325.80

These figures are very close to the actual y values given which makes this the best model.

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Answer:  A. y = –1.026x2 + 1016.402x – 162075

Step-by-step explanation:

In a certain Algebra 2 class of 26 students, 21 of them play basketball and 7 of them play baseball. There are 2 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?

Answers

Answer:

Step-by-step explanation:

[tex]\frac{21}{26}*\frac{7}{26}\\ =\frac{147}{676}[/tex]

The probability of students who plays both basketball and baseball is 2/13

What is Set Theory Formula?

The set formula is given in general as n(A∪B) = n(A) + n(B) - n(A⋂B), where A and B are two sets and n(A∪B) shows the number of elements present in either A or B and n(A⋂B) shows the number of elements present in both A and B.

Given data ,

Let the number of students who plays basketball and baseball = n ( A ∩ B )

Let the number of students who plays basketball be = n ( A )

The value of n ( A ) = 21

Let the number of students who plays baseball be = n ( B )

The value of n ( B ) = 7

Now , 2 students does not play any sports out of the 26 students

So , n ( A ∪ B ) = 26 - 2

n ( A ∪ B ) = 24

Now , from the set theory formula ,

n(A∪B) = n(A) + n(B) - n(A⋂B)

Substituting the values in the equation , we get

24 = 21 + 7 - n ( A ∩ B )

Adding n ( A ∩ B ) on both sides , we get

n ( A ∩ B ) + 24 = 28

Subtracting 24 on both sides , we get

n ( A ∩ B ) = 4

So . the number of students who plays both basketball and baseball = 4

And , the probability that the student chosen plays both basketball and baseball = number of students who plays both basketball and baseball / Total number of students

Probability that the student chosen plays both basketball and baseball
= 4 / 26

= 2 / 13

Hence , The probability of students who plays both basketball and baseball is 2/13

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A banker has a salary of £65000.

a) She is paid a bonus of £40000. What percentage of her salary is that?
b) She is given a pay rise of 16%. What is her new salary?​

Answers

Answer:

I can only answer b but I hope it helps

B = £75,400

Explanation:

10% is £6500

6 % is £3900

=£10,400

+the original pay

=£75,400

That is her new salary

When Tekai purchased groceries, he paid
8.5% in sales tax, which amounted to $12.40.
What was full amount, including tax, that
Tekai paid for the groceries?

Answers

Answer:

I think the full amount was $a18.50


What is the volume of this aquarium?

Answers

Answer:

9000 in³

Step-by-step explanation:

Small cube:

Volume = length x width x height

= 10 x 10 x 10 = 1000 in³

Big cube:

width (front) = 20

length (side) = 10 + 10 = 20

height (back) = 10 + 10 = 20

V = 20 x 20 x 20 = 8000 in³

Total volume: 1000 + 8000 = 9000 in³

9000 in3 is the answer

PLEASE HELP ME!!!!!!!

Graph the function () = 12 (2) squared on the coordinate plane

Answers

The coordinates are

-2,4

-1,1

0,0

1,1

2,4

HELPPP. DO TODAY SO PLEASE HELP!!!!!!!!!!

Answers

Answer:

47/6cm or [tex]7\frac{5}{6}[/tex]cm

Step-by-step explanation:

FE= [tex]2\frac{2}{3}[/tex]

FA= 5/12

AB= 2/3

CD=2

ED=[tex]1\frac{1}{4}[/tex]

BC= 5/6

All=47/6 or [tex]7\frac{5}{6}[/tex]

What is the variance of the data set? round to the nearest hundredths. 0.40 0.72 1.15 2.14

Answers

The variance of the data set is 0.43.

What is the variance?

The variance is used to measure the spread or the dispersion of a dataset using all the data points in the dataset. The variance is the sum of the squared difference between the data point and the mean.

The first step is to determine the mean: (0.40 + 0.72 +  1.15 + 2.14) / 4

= 4.41 / 4= 1.10

The second step is to subtract the mean from each of the data point and square the difference:

(0.40 - 1.10) ² = 0.49(0.72 - 1.10)² = 0.14(1.15 - 1.10)² = 0.0025(2.14 - 1.10)² = 1.08

Add the sum of the squared differences and divide by 4 : 1.7125/4 = 0.43

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share $660 in the ratio of 2: 3: 5.

Answers

Answer:

132:198:330

Step-by-step explanation:

You can take the total amount of $660, then divide it by how many parts you have, which is ten. You then get $66, which you can then multiply by the amount for each part of the ratio (2, 3, 5)

Answer:

132$ ,198$, 330&

Step-by-step explanation:

2+3+5=10

2/10×660$

=132$

3/10×660$

=198$

5/10×660$

=330$

Find the circumference,
18 ft

Answers

Answer:

56.549 feet

Step-by-step explanation:

Diameter. ft in m

18′0″ 56.55. 678.6 17.24

18′1″ 56.81.

18′2″ 57.07. 684.9

18′3″ 57.33. 688.0

18′4″ 57.60. 691.2

18′5″ 57.86. 694.3 17.64

18′6″ 58.12. 697.4 17.71

18′7″ 58.38 700.6 17.79

18′8″ 58.64 703.7 17.87

18′9″ 58.90. 706.9 17.95

18′10″ 59.17. 710.0 18.03

18′11″ 59.43. 713.1 18.11

The fulcrum of a lever is the point on which it turns. based on the function, how many pounds of force are needed to lift the rock if the distance from the fulcrum is 6 feet? pounds of force

Answers

The amount of force that is required to lift the rock if the distance from the fulcrum is 6 feet is 10 lb of force.

Calculations and Parameters:

Based on the given graph, we can see the curve passing through the point (1.5,40), (2,30), (2.5,24), (3,20), and (4,15).

These points satisfy by the equation

y= 60/x

and,

x is the distance in feet from the fulcrum y is needed force in pounds.

If we input the value of x into the equation,

y= 60/6

= 10 lbs of force.

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Answer:

Keep it simple: answer 10

Step-by-step explanation:

Work out m and c for the line: 5 x − 3 y + 4 = 0

Answers

Step-by-step explanation:

5x - 3y + 4 = 0

we rearrange it to look like this:

y = mx + c

3y = -4 - 5x

we can also write it like this so it rhymes with the formula

3y = -5x - 4

y = -5x - 4 / 3 (the division sign is dividing all the numbers and not only 4 ).

Soo..

y = -5x/3 -4/3

y = mx. + c

so

m = -5/3

c = -4/3.

Hope this helps.

Good luck ✅.

[tex]\rule{200}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

        Work out m and c for the line 5x-3y+4=0.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

We can't determine the slope (m) and the y-intercept (c) yet, so we need

to convert this equation into slope-intercept form [tex]\bold{y=mx+c}[/tex].

[tex]\dagger[/tex] First, subtract 5x and 4 on both sides:-

-3y=-5x-4

[tex]\dagger[/tex] Next, divide by -3 on both sides:-

y=5/3x+4/3

[tex]\bigstar[/tex] A negative divided by a negative is a positive.

[tex]\dagger\dagger[/tex] Now finding the slope is a piece of cake; it's just the number next to x:-

5/3 = slope (m)

And the y-intercept is:-

4/3 = y-intercept (c)

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

The graph below shows the relationship between the number of months different students practiced tennis and the number of matches they won:

The title of the graph is Tennis Matches. On x axis, the label is Number of Months of Practice. On y axis, the label is Number of Matches Won. The scale on the y axis is from 0 to 22 at increments of 2, and the scale on the x axis is from 0 to 12 at increments of 2. The points plotted on the graph are the ordered pairs 0, 2 and 1, 5 and 2, 8 and 3, 9 and 4, 10 and 5, 12 and 6, 13 and 7, 16 and 8,17 and 9, 18 and 10,20. A straight line is drawn joining the ordered pairs 0, 3.3 and 2, 6.8 and 4, 10 and 6, 13.5 and 8, 17 and 10, 20.5.

Part A: What is the approximate y-intercept of the line of best fit and what does it represent? (5 points)

Part B: Write the equation for the line of best fit in the slope-intercept form and use it to predict the number of matches that could be won after 13 months of practice. Show your work and include the points used to calculate the slope. (5 points)

Answers

Explanation:

Part A

y-intercept: 3

It represents that after 0 months practice, the number of matches won is 3.

Part B

slope intercept form: y = mx + b

Here to find slope,

take two points: (5, 12), (0, 3)

[tex]\sf slope: \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{rise}{run}[/tex]

[tex]\rightarrow \sf slope = \dfrac{3-12}{0-5} = 1.8[/tex]

Equation:

y - y1 = m(x- x1)

y - 12 = 1.8(x - 5)

y = 1.8x - 9 + 12

y = 1.8x + 3

To find Matches won after 13 months

insert x = 13

y = 1.8(13) + 3

y = 26.4 ≈ 26 matches

The team could have won 26 matches after 13 months practice.

Answer:

See below ~

Step-by-step explanation:

Part A :

The approximate y-intercept of the line is about (0, 3)This represents that with 0 months of practice, 3 matches are won

Part B :

Finding the slopeTake two points on the line : (0, 3) and (5, 12)m = y₂ - y₁ / x₂ - x₁m = 12 - 3 / 5 - 0m = 9/5m = 1.8 (slope)

Forming the equation :

y = mx + b (where m is the slope and b is the y-intercept)y = 1.8x + 3

Predicting how many matches can be won with 13 months of practice :

Here, x (number of months) = 13y = 1.8(13) + 3y = 23.4 + 3y = 26.4y = 26 matches (roughly)

A store buys 6 sweaters for $30 and sells them for $132. How much profit does the store make per sweater?​

Answers

The answer is -48 :) have a good day

The scatterplot represents the total fee for hours renting a bike. The line of best fit for the data is y = 6.855x + 10.215.

A graph shows hours of rental labeled 2 to 6 on the horizontal axis and cost in dollars on the vertical axis. A line increases from 0 to 6.

Which table shows the correct residual values for the data set?

A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, 1.22, 1.315, negative 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, negative 1.22, negative 1.315, 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, 1.22, negative 1.315, 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.

Answers

The table shows the correct residual values for the data set regarding the scatterplot is D. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.

What is a scatterplot?

It should be noted that a scatterplot simply means a type of data display which shows the relationship between the variables.

In this case, the table shows the correct residual values for the data set regarding the scatterplot is a 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.

The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.

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What is the value of 64-9.41?

Answers

Answer:

54.59

Step-by-step explanation:

carry the 10 over and 1-.41 is .59

Answer:
54.59

Explanation
64 - 9.41 = 54.59

Other way to calculate it:
64 - 10 = 54
10 - 9.41 = 0.59
54 + 0.59 = 54.59

1. Kedir bought 18 pieces of glasses out of a box of glasses. If these are 75% of the total, how many glasses did the box contain?

Answers

Answer:

24 pieces of glass

Step-by-step explanation:

6) please help solve sin²3theta=1

Answers

Answer:

Step-by-step explanation:

The local grocery store is being remodeled. The width of the floor is 84 feet and the length of the floor is 71 feet. What is the perimeter of the floor?

Answers

Answer:

the perimeter is the width added to the length

310 ft. to find this, add l+w+l+w. so 84 + 71 + 84 + 71
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