A single die is rolled twice. Find the probability of rolling an
Odd number the first time and a number greater than 4 the second time.

Answers

Answer 1

Answer: 1/6

Step-by-step explanation:

A die has 6 numbers which are 1, 2, 3, 4, 5 and 6.

Odd numbers in a die = 1, 3 and 6

Numbers greater than 4 = 5 and 6

Probability of rolling an odd number = 3/6 = 1/2

Probability of rolling a number greater than 4 = 2/6 = 1/3

We then multiply both values gotten. This will be:

= 1/2 × 1/3

= 1/6

Therefore, the probability of rolling an odd number the first time and a number greater than 4 the second time is 1/6.

Answer 2

The probability of rolling an  odd number the first time and a number greater than 4 the second time is 1/6

The sample space of a single die is

[tex]\mathbf{S = \{1,2,3,4,5,6\}}[/tex]

So, the total sample is 6

The odd numbers are

[tex]\mathbf{Odd = \{1,3,5\}}[/tex] --- 3 odd numbers.

So, the probability of selecting an odd number is:

[tex]\mathbf{P(Odd) = \frac 36}[/tex]

Simplify

[tex]\mathbf{P(Odd) = \frac 12}[/tex]

The numbers greater than 4 are

[tex]\mathbf{Greater = \{5,6\}}[/tex] --- 2 numbers greater than 4.

So, the probability of selecting a number greater than 4 is:

[tex]\mathbf{P(Greater) = \frac 26}[/tex]

Simplify

[tex]\mathbf{P(Greater) = \frac 13}[/tex]

The probability of rolling an  odd number the first time and a number greater than 4 the second time is calculated as follows:

[tex]\mathbf{P = P(Odd) \times P(Greater)}[/tex]

So, we have:

[tex]\mathbf{P = \frac 12 \times \frac 13}[/tex]

[tex]\mathbf{P = \frac 16}[/tex]

Hence, the probability is 1/6

Read more about probabilities at:

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Related Questions

A local grocery store sells frozen fish sticks in packages of 18. If the cost for a package of 18 frozen fish sticks is $1.95, what is the approximate cost per frozen fish stick?

Answers

Answer:

$0.11 per frozen fish stick

Step-by-step explanation:

If a package of 18 fish sticks cost $1.95, to find the cost per frozen fish stick you need to divide $1.95 by 18

$1.95 / 18 frozen fish stick = $0.108 or $0.11 per frozen fish stick

Jackson's rectangular bedroom has an area of 80 square feet. The area of his bedroom is 10 times that of his rectangular closet. If the closet is 2 feet wide, what is its length? BE SURE TO ADD A LABEL TO YOUR ANSWER.

Answers

Answer:

Length of the rectangular closet = 4 feet

Step-by-step explanation:

Area of his bedroom = 80 square feet.

The area of his bedroom = 10 times that of his rectangular closet.

Let x = area of his rectangular closet.

80 = 10 * x

80 = 10x

x = 80/10

= 8

x = 8 square feet

If the closet is 2 feet wide, what is its length?

Area of the rectangular closet = length × width

Let y = Length of the rectangular closet

8 Square feet = y feet × 2 feet

8 = 2y

y = 8/2

= 4

y = 4 feet

Length of the rectangular closet = 4 feet

The sum of two numbers is 544. One of the numbers is 300. What is the other number?

Answers

Answer:

244

Step-by-step explanation:

[tex]544 - 300 = \\ 244[/tex]

The price of an item yesterday was $120. Today, the price fell to $66. Find the percentage decrease.
HELPP
I need this written out and explained I have 10 MINUTES LEFTTT

Answers

Answer:54

Step-by-step explanation: You simply minus $66 from $120. I am fairly sure that i am right. If my answer is wrong, then please forgive me.

HELP !!
In order to graph y= 2/3x + 4, start at (2,3,or 4?) on the y-axis then move (2,3,or 4?) units up and (2,3,or 4) units right.

Answers

start at 4 on the y axis

move 2 units up and 3 units right

Plz plz plz plz pl lol plz

Answers

Answer:0.45 or the third one from the top

Step-by-step explanation:

Which is the definition of ray

Answers

Answer:

each of the lines in which light (and heat) may seem to stream from the sun or any luminous body, or pass through a small opening.

Step-by-step explanation:

ray is each of the lines in which light and heat may seem to stream from the sun or any luminous body, or pass through a small opening.

Can somebody help me with this please?

Answers

its an eqilateral triangle. they are always “positioned” at 180 degrees.

Raj and his friends went to the movies today and ate 875 pieces of popcorn, or 125% more than they ate when they went to the movies last week.

A tape diagram. StartFraction part Over whole EndFraction = StartFraction 125 Over 100 EndFraction = StartFraction 875 Over question mark EndFraction.

Which steps can be used to find how much popcorn Raj and his friends ate at the movies last week?

Check all that apply.
125 + 750 = 875
125 × 7 = 875
100 × 7 = 700 pieces of popcorn
100 + 750 = 850 pieces of popcorn
125 + 875 = 1000 pieces of popcorn

Answers

Answer:

It's B and C

Step-by-step explanation:

Answer:

it is b and c

Step-by-step explanation:

1+2=? may be 3
plz help me

Answers

Answer:

I'm pretty sure it is 3

Step-by-step explanation:

Not too sure though

help asap! ill give the best to person who explains it clearly

Answers

Answer:

The answer is D.

Step-by-step explanation:

First, you have to find the area of circle using the formula :

A = π × r²

A = π × 3²

A = 9π

Given that PHU is an equilateral triangle so all sides have a degree of 60°. Next, you have to find the area of minor sector of P and U by using the formula :

A = (θ/360) × π × r²

A = (60/360) × π × 3²

A = 1.5π

Lastly, you have to subtract the area of sector from the area of circle in order to find the area of shaded region :

A = (9π × 2) - (1.5π × 2)

A = 18π - 3π

A = 15π

Hi if someone can please help me answer the top one I will mark u brainliest

Answers

Answer:

D) [tex]1\frac{21}{40}m^2[/tex]

Step-by-step explanation:

We can first change the area of his garden into an improper fraction:

[tex]7\frac{5}{8} m^2 = \frac{61}{8}m^2[/tex]

Since Eric wants to split his garden into five equal sections, we divide the area of his garden by [tex]5[/tex]:

[tex]\frac{61}{8}\div 5 = \frac{61}{40}[/tex]

[tex]=1\frac{21}{40}m^2[/tex]

∴ The area of each new section is [tex]1\frac{21}{40}m^2[/tex]

Hope this helps :)

Given the definitions of f(x) and g(x) below, find the value of (f(g(-3)).

f(x) = -4x + 7
g(x) = 2x^2 + 5x – 8

PLEASE HELP

Answers

Answer: the answer is A my friend ✨

Step-by-step explanation: I got it right, hope it helps

I need help! MATH (10 Points+Brainliest if correct)


Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?

Answers

the one you have selected is correct ! the first option: the multiplication that takes place..

Answer:

it's the top one

Step-by-step explanation:

the multiplication that takes place while distributing comes before addition and subtraction in the order of operations

−3x+8<15 please help

Answers

Answer:x<-7/3

Step-by-step explanation:

Answer: X > -7/3

Step-by-step explanation:

-3x + 8 < 15

subtract 8 from both sides

-3x < 7

divide by negative 3

Also, when dividing or multiplying by a negative you flip the sign.

x > -7/3

Answer :)

The temperature is dropping at a rate of five degrees per hour.

Let d represent the number of degrees the temperature drops.
Let t represent the number of hours that pass.

Which is the independent variable?
A. the number of hours
B. the number of degrees the temperature drops
C. the rate at which the temperature drops
D. the day of the week

Answers

Answer: A

Step-by-step explanation: Because in a equation there will be an independant variable and the number of hours would be the independent which is t.

Answer the number of degrees the temperature drops

Step-by-step explanation:

What is the equation of the line in slope-intercept form that passes through (-5, 3) and (2, -4)?
.
Write an equation in slope-intercept form.

Answers

Answer:

m= y2- y1 / x2 - x1= Slope

HELP ASP ON KITCHEN MATH !!!

Shortbread Cookies Makes about 3 dozen cookies 3/4 shortening 1/2 t salt 9/4 granulated sugar I 1/2 t baking soda 1/4 eggs 2 c. cake flour 1/2 vanilla extract food coloring 1/4 butter flavoring

Answers

Answer:

3/8 shortening, 1/4 t salt, 9/8 sugar, 3/4 baking soda, 1/8 eggs, 1 c. Cake flour, 1/4, vanilla extract, 1/8 butter flavoring

Step-by-step explanation:

Half all your fractions, by doubling the numerator and denominator, then deviding the numerator by 2.

The amount require for 1 and half dozens is

3/8 shortening 1/4 t salt 9/8granulated sugar 3/4t baking soda 1/8 eggs 1 c. cake flour 1/4 vanilla extract food coloring 1/8 butter flavoring

What is Unitary Method?

This approach allows us to calculate both the value of many units from the value of one unit and the value of many units from the value of one unit.

Let's first list the data that we currently have. The number of ice creams is 5. It costs $125 for 5 ice creams.

Step1 :Let's start with finding the price of one ice cream. Divide the entire cost of ice cream by the total number of ice creams to get at that. A single ice cream will cost you 125 divided by the amount of ice creams, or 25 cents. Consequently, 1 ice cream costs $25.

Step 2: To calculate the price of three ice creams, multiply the price of one ice cream by the quantity. Cost of 1 ice cream x number of ice creams = 25 x 3 = $75 is the price of 3 ice creams. The final cost is $75, which is the price of three ice creams.

Given:

Shortbread Cookies Makes =3 dozen cookies

3/4 shortening

1/2 t salt

9/4 granulated sugar

3/2 t baking soda

1/4 eggs

2 c. cake flour

1/2 vanilla extract food coloring

1/4 butter flavoring

Above we have ingredients according to 3 dozen but we want to have ingredients for 1 and half dozen which is half of 3 dozen

So, we will just make half of the amount of above ingredients present

Shortbread Cookies Makes =1 and 1/2 dozen cookies

3/4 x 1/2 = 3/8 shortening

1/2 x 1/2 = 1/4 t salt

9/4 x 1/2 = 9/8granulated sugar

3/2 x 1/2 = 3/4t baking soda

1/4 x 1/2 = 1/8 eggs

2 x 1/2 =1 c. cake flour

1/2 x 1/2 = 1/4 vanilla extract food coloring

1/4 x 1/2 = 1/8 butter flavoring

Learn more about unitary method here:

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#SPJ2

1 point
Which of the following is the earliest
date?
O June 7, 1979
O July 17, 1997
O July 1, 1979
O June 17, 1997
O June 1, 1997

Answers

Answer:

June 7th, 1979

Step-by-step explanation:

1979 comes before 1997, so that eliminates those. Then June comes before July. So June 7th, 1979.

June 7, 1979, is the earliest date. Option A is correct.

How to represent the date?

The recommended format for writing dates is YYYY-MM-DD, which stands for year, month, and day.

Since 1979 came before 1997, those are disregarded. June, therefore, precedes July. So, it's June 7, 1979.

The earliest date is June 7, 1979.

Hence option A is correct.

To learn more about the dates refer;

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what is proportional to 26/13​

Answers

Answer:

2 / 1

Step-by-step explanation:

26 / 13 = 2

SO any ratio or proportion that can be divided and equal to 2 would work

24 / 12

22 / 11

2 / 1

Etc..

One number is five more than another. If their sum is increased by nine, the result is 60. Find the numbers.

Answers

Answer:

The two numbers are 23 and 28

Step-by-step explanation:

We are given that

[tex]X = Y + 5\\and\\(X+Y) + 9 = 60\\X+Y = 51\\(Y+5) + Y = 51\\2Y + 5 = 51\\2Y = 46\\Y = 23\\\\X = Y + 5\\X = 23 + 5\\X = 28[/tex]

NEED ANSWER BY TODAY ( Nov 12, 2020 ) AT 6:30 p.m. ASAP.
The world's future society predicts that by the year 2020, airplanes will be able to carry 1400 passengers. Today's biggest jets carry 600 passengers. What will be the percent of the increase of airplane passengers?

P.S. this is a Percent increase/decrease
from: 600
to: 1400

%/100 = differences of to and from/ from ( before the number )
( no negative difference, bigger number subtract smaller number)

Answers

Answer:

133.33333333 percent

the diffrence is 800

Step-by-step explanation:

[(1400 - 600) / 600] × 100%

= 1.3333333333 × 100%

= 133.33333333%

Answer:

133.33% increase

Step-by-step explanation:

This is a percent increase, and to solve for one you need to know the following formula

[tex]|\frac{new~value~-~original~value}{original~value}| *100[/tex]

Plugging it in;

New value = 1400

Old value = 600

[tex]|\frac{new~value~-~original~value}{original~value}|= |\frac{1400-600}{600}| = |\frac{800}{600}| = 1.333333333[/tex]

1.3333333 as a percent is

133.33%

So you have an increase of 133.33%

In an inequality, 0.5 is the greater number. What will the position of the other number be in relation to 0.5 on the vertical number line? What is the answer?! Help plz.

Answers

Answer:

Closer to 0 than 0.5, or under zero

Step-by-step explanation:

On a vertical number line, anything above zero is positive, and anything under zero is negative. If 0.5 is the greater number, then it has to be closer to zero, or under it.

Answer:

The other number would be located below 0.5 on the vertical number line.

Step-by-step explanation:

Someone please help me , I really need help

Answers

Answer:

b

Step-by-step explanation:

Write an equation in slope-intercept form of the line that passes through the given points.
х
у
-2
2
0
1
2.
0
4
-1

Answers

Answer:

The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the value of y at the y-intercept, which can be written as (0, b).

Step-by-step explanation:

Was i right?!?

Kaya had a string 6 1/8 inches long. She cut off a piece 2 3/4 inches long. How long is the remaining piece of string? Show your work. Write your answer as a mixed number.

Answers

Answer: 3 3/8

Step-by-step explanation:

We know that for example 2/4=4/8 so it is multiplied by 2. In this problem the fractions are 2 2/4 and 6 1/8. We are subtracting so you would first multiply the fraction that’s going to subtracted from the other fraction 2 3/4= 2 6/8. Now that we have our fractions we can subtract 6 1/8-2 6/8 this would leave us with 3.375 which is equal to 3 3/8.

Answer:

3 3/8

Step-by-step explanation

If you take away 2 3/4 from 6 1/8 it would equal 3 3/8 how you get that answer I'm not really sure but I used google 0_0 but there you go I hope it helped-

Which number replaces the question mark?

Answers

Answer:

13

Step-by-step explanation:

9+6-3+7-2=17

10+4-2+5-6=11

7+-4+9-5=13

Which of the following numbers are written in SCIENTIFIC NOTATION?​

Answers

the answer is 4.38x5^10

EXPLANATION: a number in scientific notation is a number between 1-10 that is multiplied by the power of 10

The following triangle shows the length of each side using expressions.

2n +7
2n +7
3n
a. Write an expression in simplest form to represent the perimeter of the triangle above. Show all work.

b. If n = 8, find the perimeter of the triangle. Show all work.

Answers

Answer:

A). 2(2n+7)+3n

B). 2(2(8)+7)+3(8)
2(16+7)+ 24
2(23)+24
46+24
70

Which of the following is an irrational number: 0.333, 7, 5/22, square root of 8

Answers

Answer:

The square root of 8 is an irrational number

Step-by-step explanation:

[tex]\sqrt{8}[/tex] is irrational because it continues on and does not end. It cannot be turned into a fraction nor does it have a pattern that continues to repeat.

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