1. Sam rolls a fair dice and flips a fair
coin. What is the probability of
obtaining an odd number and a head?
Use a sample space diagram to help.
See below for an example.

Answers

Answer 1

Answer:

Mark brainliest pls

Step-by-step explanation:

People have given you correct answers but not explained why, perhaps because it seems so obvious.

One of Bayes laws of probability says that if two events e1 and e2 are independent (unrelated), then the probability of both happening together is the product of their individual probabilities.

The die and the coin are independent events. Each is a 50% chance (odd number on a die, heads on a coin). Thus the probability of both happening together is 50% * 50% = 25%.

Answer 2

The probability of obtaining an odd number and a head is 1/4.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Let A be Sam rolls a fair dice.

Sample space, s = { [tex]1,2,3,4,5,6[/tex] }

⇒ [tex]n(s)=6[/tex]

An event A is obtaining an odd number, e = { [tex]1,3,5[/tex] }

⇒ [tex]n(e)=3[/tex]

The probability of A is obtaining an odd number,

[tex]P(A)=\frac{n(e)}{n(s)}[/tex]

⇒ [tex]P(A)=\frac{3}{6}[/tex]

⇒ [tex]P(A)=\frac{1}{2}[/tex]

Now, let B be Sam flips a fair coin.

Sample space, s = { [tex]H,T[/tex] }

⇒ [tex]n(s)=2[/tex]

An event B is getting a head, e = { [tex]H[/tex] }

⇒ [tex]n(e)=1[/tex]

The probability of B is getting a head,

[tex]P(B)=\frac{1}{2}[/tex]

Both A and B are independent events.

Thus the probability of obtaining an odd number and a head is

[tex]P(e)= P(A)P(B)[/tex]

⇒ [tex]P(e)=(\frac{1}{2})( \frac{1}{2} )[/tex]

⇒ [tex]P(e)=\frac{1}{4}[/tex]

Hence we can conclude that the probability of obtaining an odd number and a head is 1/4.

Learn more about probability here

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Related Questions

Determine whether the figure has line, point, and/or rotational symmetry.

Answers

Answer: do you have a picure to go with it sorry im not getting it?

Step-by-step explanation:

4) What is the perimeter of a square that has an area of 262.44 feet?

Answers

Answer:

64.8 ft

Step-by-step explanation:

A square has all its sides equal

Therefore to get one side from its area is simply finding the square root of its area

√262.44=16.2ft

Having the one side then perimeter= to the four equal sides × the dimensions of one side

=4×16.2

=64.8 ft

9)
5.6 yd
5 yd
12 yd
Find the area. (A = 1/2 ( 61 + b2) h)

Answers

Answer:

Area, A = 63.6 square yards

Step-by-step explanation:

A trapezoid refers to a quadrilateral that is convex in shape; as such it has no equal sides and no parallel sides.

Let the height of a trapezoid be h.

Let the top base of a trapezoid be b1.

Let the bottom base of a trapezoid be b2.

[tex] Area \; of \; trapezoid = \frac {1}{2} * (Sum \; of \; nonparallel \; sides) * height [/tex]

Therefore, [tex] Area \; of \; trapezoid = \frac {1}{2} * (b_{1} + b_{2}) * h [/tex]

Given the following data;

Length, b1 = 5 yards

Width, b2 = 5.6 yards

Height, h = 12 yard

To find the area of geometrical shape (trapezoid), we would use the above formula;

A = 1/2 (b1 + b2) * h

Substituting into the formula, we have;

A = ½ * (5 + 5.6) * 12

A = ½ * (10.6)*12

A = 5.3 * 12

Area, A = 63.6 square yards

2+4(x+1)-x
2+4x+-x
6+4x-x
6+3x​

Answers

Answer:

What is your question

Step-by-step explanation:

Chow do I solve 6w - 6 = 54

Answers

Answer:

w = 10

Step-by-step explanation:

6w - 6 = 54

6w = 54 + 6

6w = 60

w = 60/6

w = 10

Eric buys a coffee table price d at $100. If the sales taxis 5%, what wil lbe the total cost including tax?

Answers

To solve this problem you take the price and multiply it by the tax percentage.

$100 x 5% = 5

Then add $5 (total of tax) to the price.

The TOTAL with tax would be $105

Myles has a room that is 300 m². If he wants to tile the room using 5 cm x 5 cm tiles, how many whole tiles will he have to use?

Answers

Answer:

Number of whole tiles need = 120,000 tiles

Step-by-step explanation:

Given:

Area of room = 300 m²

Dimension of each tile = 5cm x 5cm

Find:

Number of whole tiles need

Computation:

Dimension of tile in meter = 5 /100 = 0.05 m

Area of each tile = 0.05 x 0.05

Area of each tile = 0.0025 m²

Number of whole tiles need = Area of room / Area of each tile

Number of whole tiles need = 300 / 0.0025

Number of whole tiles need = 120,000 tiles

Total 120,000 tiles need to cover 300 m² room.

solve the inequality and specify the answer
1-3x [tex]\leq[/tex]0
Interval notation

Answers

Step-by-step explanation:

hope it helps

see attached

100Points! show work

Answers

Using angle sum property

[tex]\\ \sf\longmapsto x+43+73+70=180[/tex]

[tex]\\ \sf\longmapsto x+43+143=180[/tex]

[tex]\\ \sf\longmapsto x+186=180[/tex]

[tex]\\ \sf\longmapsto x=180-186[/tex]

[tex]\\ \sf\longmapsto x=-6[/tex]

Option C is correct

Sum of angles of any triangle is 180°

x+43+73+70=180x+186=180x=180-186x=-6

Option C

Les 2/3 de 9Litres ?

Answers

Answer:

6 litres

Step-by-step explanation:

9:3=3

2×3=6

therefore the answer is 6.

what would the circumference be of a circle if the radius is 14

Answers

C≈87.96 because C=2πr=2·π·14≈87.96459


A rectangle has a width of 3 units. The rectangle's length is 5 times its width.
What is the area of the rectangle?
square units

Answers

Answer:

45 sq. units

Step-by-step explanation:

3x5=15

15x3=45

Guys help I’m failing math this assignment is 100 points it will boost my grade I’m timed..

Answers

Answer:

edf

Step-by-step explanation:

I think it’s real numbers
Sorry if it’s wrong

Leo deposited $3,316.25 in an account that earned 2.5% interest compounded weekly for 13 years. After 13 years, how much had Leo earned in interest?

Express your answer rounded correctly to the nearest cent. Do not include units on your answer.

please help

Answers

Answer:

interest=P(1+r/100)^n-P

interest=3316.25(1+2.5/5200)^676-3316.25

=1273.18 (nearest cent)

Simplify the following expression.



(3x−6)+(5x−5)
PLEASE I NEED HELP

Answers

Answer:

8x-11

Step-by-step explanation:

3x+5x=8x

-6+-5=-11

8x-11

Answer:

8x-11 hope nthisbelps sorry if im wrong

Step-by-step explanation:

What is the perimeter of a square with side length: 3 cm Do not include units (cm) in your answer. I also will be reporting any links as answers​

Answers

Answer:

perimeter of a square is 3 + 3 + 3 + 3 = 12 (cm)

Step-by-step explanation:

Or use the formula P = 4a = 4(3) = 12 (cm)

Find the side length of a square with an area of 1521 m².​

Answers

Answer:

39

Step-by-step explanation:

a=A=1521=39

sinx dx+y[tex]sinx dx+y^{2} dy=0

Answers

use photo math it should help hehe

Plz help me by solving this problem and showing how you got it

Answers

Answer:

y =84

Step-by-step explanation:

25/100*Y = 21

100/25 * 25y/100 =21 *100/25

y = 2100/25

y = 84

Answer: 25% of 84 is 21

Steps:
25% of blank is 21

Of means multiply
Is means equals

To change a percent to a decimal move the decimal place tow spots to the left

25% of blank is 21
25% * x = 21
0.25 * x = 21
x = 21 / 0.25
x = 84

Check:
0.25 * x = 21
0.25 * 84 = 21
21 = 21 ✅

If this was helpful and correct I would appreciate the brainliest! :)

The table shows the values (in thousands) of the average salary of NBA players x years after 1990. Write and use an exponential model to find the year
when the average NBA player's salary will be more than $3 million
1
2
Years, X
3
4
5
0
15
30
Salary, y
60
240
480
120
Write an exponential model for this situation
(put parentheses around the "b" value)
What is the projected salary in 9 years?
In what year would the salary be more than $3 million? (round to two decimal places)

Answers

Answer:

Step-by-step explanation:

From the given table,

Ratio of each successive term in the row showing salary (y) is,

Ratio = [tex]\frac{30}{15}[/tex] = 2

Therefore, function representing the relation between average salary (y) and years (x) will be the exponential function.

y = a(b)ˣ

For x = 0, y = 15,

15 = a(b)⁰

a = 15

For x = 1, y = 30,

30 = 15(b)¹

b = 2

Therefore, exponential function Or exponential model will be,

y = 15(2)ˣ

Projected salary in 9 years [For x = 9],

y = 15(2)⁹

y = 15 × 512

y = $7680

For the salary more than $3 million [For y = $3000000],

3000000 = 15(2)ˣ

2ˣ = 200000

log(2)ˣ = log(200000)

xlog2 = log(2×10⁵)

xlog2 = log2 + log(10)⁵

(x - 1)log2 = 5

x - 1 = [tex]\frac{5}{\text{log2}}[/tex]

x = 16.609 + 1

x = 17.609

x ≈ 17.61 years

The teachers at Eastside High School were asked the number of years they have been teaching. The results are as follows.

3, 4, 9, 12, 7, 5, 4, 12, 3, 9, 11, 4, 14, 9, 2, 10, 3, 10, 9, 7

Use the data to fill in the box-and-whisker plot below.

Answers

Answer:

I'm not your Slave

Step-by-step explanation:

do it yourself

The diagonal of the screen of a laptop computer is 19 inches. The width of the screen is 17 inches. What is the helght of the computer screen in inches?​

Answers

Answer:

Height of computer screen in inches = 8.48 inches (Approx.)

Step-by-step explanation:

Given:

Diagonal of screen of laptop computer = 19 inches

Width of screen of laptop = 17 inches

Find:

Height of computer screen in inches

Computation:

Screen diagonal, width and height makes a right angle triangle

So,

Using Pythagoras theorem;

Perpendicular = √Hypoteneus² - Base²

Height of computer screen in inches = √(Diagonal of screen of laptop computer)² - (Width of screen of laptop)²

Height of computer screen in inches = √(19)² - (17)²

Height of computer screen in inches = √361 - 289

Height of computer screen in inches = 8.48 inches (Approx.)

ILL GIVE BRAINLYIST TO WHOEVER ANSWERS THIS RIGHTTT PLEASE HELP

Answers

Answer:

128

Step-by-step explanation:

Do 10*8=80

8*6=38  48/2=24

80+24+24

104+24

128

Special right triangles. find the value of x?
hypotenuse = leg ×
[tex] \sqrt{2} [/tex]

Answers

Answer:

x = (9√2)/2

Step-by-step explanation:

Reference angle = 45°

Hypotenuse length = 9

Adjacent length = x

Apply the trigonometric ratio CAH:

Cos 45° = Adj/Hyp

Cos 45° = x/9

Multiply both sides by 9

9*Cos 45 = x

9*1/√2 = x (cos 45 = 1/√2)

9/√2 = x

Rationalize

(9*√2)/2 = x

x = (9√2)/2

I NEED AN ANSWER PLS-

Answers

Answer:

-8,4

Step-by-step explanation:

Find the surface area of a cylinder with a base diameter of 10 in and a height of 8 in.

Answers

Answej hhjb hgygvhgvhgvhgvhvhgvhvhvgh

Find the value of x in the parallelogram below.

Answers

Answer:

B)  x = 12

Step-by-step explanation:

m∡EOU = m∡TQE

m∡EOU =180 - (39+45) = 96°

m∡TQE:  7x + 12 = 96

7x = 84

x = 12

Chloe wants to buy soda for a party. He buy a case of 24 cans or he can buy 4 six-packs of cans. The case costs $8.44 and each six-pack costs $2.85. Which is the better buy?

Answers

Answer:

the can that costs 8.44 is a better buy

Step-by-step explanation:

Answer:

the 24 can pack

Step-by-step explanation:

2.85 x 4 = 11.4

$11.4 is more expensive than $8.44

PLEASE HELP 25 POINTS

The topographic map shows the location of a park ranger at Point X when a message is received that an injured hiker needs help at Point Z.




Which answer correctly identifies the elevations of both points on the map?






Point X= 1500m, Point Z= 2000m


Point X= 1550m, Point Z= 1600m


Point X= 1600m, Point Z= 2050m


Point X= 2050m, Point Z= 1600m

Answers

Answer:Point X= 1600m, Point Z= 2050m

Step-by-step explanation:

Do think it is A, B, C, D?

Answers

Answer:

D

Step-by-step explanation:

the 80*10=800

8 in 183= 80

8 in 4879 = 800

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