A six sides dice rolls twice. What is the probability that the first roll is a even number and the second roll is a number greater than 4?

Answers

Answer 1

Answer - 1/6

EXPLANATION

For a six sides dice:
Possible numbers are: 1, 2, 3, 4, 5, and 6
Total of 6 possible numbers

Possible even number outcomes are: 2, 4, and 6
Total of 3 outcomes out of 6 possibilities
Probability that the roll is a even number, p(A) = 3/6
p(A) = 3/6 = 1/2

Possible outcomes greater than 4 are: 5 and 6
Total of 2 outcomes out of 6 possibilities
Probability that the roll is a number greater than 4, p(B) = 2/6
p(B) = 2/6 = 1/3

The probability that the first roll is a even number and the second roll is a number greater than 4 = p(A and B)
p(A and B) = p(A) x p(B)

p(A) = 1/2
p(B) = 1/3
p(A and B) = p(A) x p(B)
= 1/2 * 1/3
= 1/6

Related Questions

Please help me with this compound interest.

Answers

6,300 x (1+0.06) ^3=

6300 x 1.191016 =

7503.40

Sharon has a balance of $3,825 on her credit card. If the card has an annual rate of 20.99% how much is the finance charge for this month? $802.87 $219.96 $66.96 $20.99

Answers

20.99%/12 = 1.7492% which is the monthly rate (or at least the way my credit card does it)

1.7492/100 * 3825 = 66.91
66.91 is just a rounding error. <<<=== answer.

A grasshopper coved a distance of 5 yards in 9 equal hops. How many yards did the grasshopper travel on each hop.

Answers

He covered 5 yards in 9 hops.
So you would do 5 divided by 9, which is 0.555555555555556, rounded, it would be about 0.6 yards. Hope this helps.

Hello!

To calculate how many yards the grasshopper traveled on each hop, we must divide the number of yards (5) by the number of hops (9):

5 ÷ 9 = 0.5556 (Repeating decimal)

Answer:

The grasshopper traveled about 0.6 yards on each hop.

rob works part time at the fallbrook riding stable. He makes $5 an hour exercising horses and $10 hour cleaning stalls. Because Rob is a full time student he can work no more than 12 hours per week. however he must make $60 per week. write a system of inequalitites

Answers

Let x be the number of hours exercising horses.
Let y be the number of hours cleaning stalls.

x + y <= 12
5x + 10y >= 60
x + 2y >= 12

At this point you might do well to graph this set of equations on Wolframalpha.com

In the meantime solve this system this way.

12 - x > y > 6 - x/2
When y =0 the x = 12.

Answer: 5x + 10y ≥ 60 ⇒ x+2y ≥ 12 .................. (i)

x + y ≤ 12 ................. (ii)

Step-by-step explanation:

Let the hours spent on exercising horse be x

Let the hours spent on cleaning stalls be y

According to question:

Rob can't work more than 12 hours. So eq. (i) will be x + y ≤ 12

Rob earns $5 an hour by exercising horses and $10 an hour cleaning stalls and he must make $60 . So eq. (ii) will be 5x + 10y ≥ 60.

Dividing eq. (ii) by 5, it will become x + 2y ≥ 12.

∴ system of inequalities are x + y ≤ 12 and x + 2y ≥ 12.

A right triangular prism is shown. Find (A) the total surface area and (B) the volume. You must show formulas and your work.
10m height
8m width
10.77m

Answers

Hello!

We are going to use the rectangular prism of the image as a guide:

First of all, the AC segment is calculated using the Pythagoras' theorem:

[tex]AC= \sqrt{ AB^{2}+ BC^{2} } =\sqrt{ 10^{2}+ 8^{2} }=12,81 m[/tex]

(A) The surface area of a prism is the sum of the surface areas of each face.

For the 2 triangles ABC and DEF

[tex]A=2*(1/2*b*h)=2*(1/2*8m*10m)=80m[/tex]

For the ABEF Rectangle

[tex]A=w*l=10,77m*10m=107,7m^{2}[/tex]

For the ACDE Rectangle

[tex]A=w*l=10,77m*12,81m=137,96 m^{2}[/tex]

For the BCDF Rectangle

[tex]A=w*l=10,77m*8m=86,16 m^{2}[/tex]

To finish you need to sum up the areas of each face:

[tex]SA=2A_{ABC}+ A_{ABEF}+A_{ACDE}+A_{BCDF}= \\ 80 m^{2} +107,7m^{2} +137,96m^{2} +86,16m^{2} =411,82m^{2} [/tex]

(B) The volume of a prism is the product of the area of its base and the height of the prism. In this case, the base is a triangle so the formula and the calculations for the volume are as follows

[tex]V= \frac{1}{2} *w*h*l= \frac{1}{2}* 8m*10m*10,77m=430,8m^{3} [/tex]

Don wrote the expression 8 less than the product of m and 10. What algebraic expression did he write? What is the value of the expression for m = 7?

Answers

THE EXPRESSION IS
10m-8
if m=7
70-8=62

10m-8
if m=7
70-8=62
hope this helps

Which number is written in scientific notation? 7.8 x 10−5 0.84 x 106 3.4 x 1002 −5 x 10−12

Answers

Hello there,

First off what is scientific notation?

Scientific Notation is the way that scientist handle very large or very small numbers..
for example, instead of writing 0.0000000056 we write 5.6x10 (exponent -9)

So, now we got that out the way lets look up here at the choices....

I would say that 7.8x10 (exponent -5) would be the answer! :)

I hoped this helped!!!! :)))

God bless you.

7.8x10-5 is the answer

need help with question 20

Answers

I would start by dividing by all the multipliers of the parentheses.
[tex] \frac{PV}{nt} = r_{1} +r_{2}[/tex]
Then, I would subtract the unwanted variable from the sum.
[tex] \frac{PV}{nt} -r_{2} = r_{1}[/tex]

which expression does not give the area of the shaded figure?

Answers

A is the correct answer. comment if you want explanation

Plies sambedy help problem 5.

Answers

no she wont because it starts the 5th and every 10 days she has practice. she will have it on the 25 and 35

Rewrite the following expression in standard form by finding common denominator and collecting like terms

Answers

We have the expression [tex] \frac{2h}{3} - \frac{h}{9} + \frac{h-4}{6} [/tex]; to find the common denominator we are going to decompose each one of the denominators into prime factors, and then we are going to multiply the common factors raised to the highest power and all the non common factors.

The denominators of our fractions are 3, 6, and 9. 3 is already a prime, so we are going to let that one alone. 6 on the other hand is divisible by tow, so it can be decomposed into tow prime factors 2 and 3: [tex]6=(2)(3)[/tex].
9 is divisible by 3, so it can also be decomposed into tow prime factors 3 and 3: [tex]9=(3)(3)=3^{2} [/tex].
We have a common factor 3 in all our denominators, and among them the one raised to the highest power is [tex]3^{2} [/tex]. On the other hand we only have one non-common factor, 2. So, our common denominator will be:
[tex]common.denominator=(3^{2} )(2)=(9)(2)=18[/tex]

Now we know that the common denominator of our standard form fraction is 18, the only thing left is convert the denominators of each one of our fractions to 18 and simplify. To do that we are going to divide the common denominator by the denominator of each fraction, and then multiply the quotient by each one of the numerators:
[tex] \frac{2h}{3} - \frac{h}{9}+ \frac{h-4}{6} = \frac{(6)(2h)-(2)(h)+3(h-4)}{18} [/tex]
[tex] \frac{12h-2h+3h-12}{18} [/tex]
[tex] \frac{13h-12}{18} [/tex]

Answer: [tex] \frac{13h-12}{18} [/tex]

The figure shows triangle ABC and a rotation of the triangle about the origin
a. How would you describe the rotation?
b. What are the coordinates of the image?

Answers

That is an anticlockwise rotation of 90 degrees about the origin

A' is (3,1), B' is (2,3) and C' is (-1, 4)

when 4 is added to the difference between 5 times a number and 9 the result is greater than 10 * to 4 times the number what's the number

Answers

5x - 9 > x*10^4
5x - 9 > x * 10000 I hope I'm reading the question correctly.
5x > 10000 x + 9
x > 10000/5 x + 9/5
x > 2000x + 1.8
0 > 1999x + 1.8
- 1.8 > 1999x
- 1.8 / 1999 > x
- 0.0009004 > x

A hollow ball is made up of rubber that is 2 centimeters thick. The ball has a radius to the outside surface of 6 centimeters. What is the approximate volume of rubber used to make the ball? Use 3.14 for pi.

a. 33.5cm^3

b. 267.9cm^3

c. 636.4cm^3

d. 994.3cm^3

Answers

The volume of rubber used to make the hollow ball is approximately 636.4 cm^3, which is calculated by subtracting the inner space volume from the total volume of the ball.

To find the volume of rubber used to make a hollow ball, we need to calculate the volume of the entire ball and then subtract the volume of the inner empty space. The ball's external radius is 6 centimeters, and the rubber thickness is 2 centimeters, which makes the inner radius 4 centimeters (6cm - 2cm).

The formula to calculate the volume of a sphere is V = (4/3)
y. Using
for pi and plugging in the numbers, we get:

Volume of the entire ball (outer radius of 6cm): V = (4/3)
(6)
= 904.32 cmVolume of the inner space (inner radius of 4cm): V = (4/3) 3.14 (4)
= 268.08 cm

To find the volume of the rubber used, we subtract the smaller volume from the larger volume:

904.32 cm - 268.08 cm = 636.24 cm

Therefore, option c. 636.4cm is the approximate volume of rubber used to make the ball.

A rope is 72 feet long. What is the length of the rope in yards

Answers

24 yards hop this helps

The answer is 24 you find how many yards are in a foot =3 72÷3=24

A picture is 5 inches wide and 8 inches tall:

A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.
A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged? (5 points)

40 in2

250 in2

100 in2

81.9 in2

Answers

Final answer:

The area of the enlarged picture will be 250 square inches, calculated by multiplying the new width and height which are scaled up by the factor of 2.5 from the original dimensions.

Explanation:

To find the area of the enlarged picture, we begin by scaling up the dimensions of the original picture using the given scale factor. The original width is 5 inches, and the original height is 8 inches. Applying a scale factor of 2.5 to both dimensions, we calculate the new dimensions as follows:

New width = 5 inches × 2.5 = 12.5 inchesNew height = 8 inches × 2.5 = 20 inches

Now, to find the area of the enlarged picture, we multiply the width by the height:

New area = New width × New height = 12.5 inches × 20 inches = 250 square inches

Therefore, the area of the picture after it is enlarged will be 250 square inches.

A model car has a windshield with dimensions 1/18 the size of a real car windshield. They rectangular windshield of the real car has an area of about 2318 square inches, with a width of 61 inches. What are the side lengths of the model car's windshield? Round to the nearest hundredth. Justify your answer

Answers

We know the model car is 1/18 the size of all values of the real car. This means that the model car has an area that is 1/18 the area of the real car, a length that is 1/18 the size of the real car, and a width that is 1/18 the size of the real car. To get rid of the fraction, we can simply divide by 18.

The first step here is to figure out the missing length of the real car. We know the area is 2318 square inches, and the width is 61 inches. Since the area of a rectangle is length x width, we can find the length by doing the opposite of multiplication which is division.

2318 ÷ 61 = 38

So the dimensions of the real car windshield is 61 and 38.

Now, we have to find what 1/18 of 61 is, and what 1/18 of 38 is. We can divide 61 and 38 by 18 to find these values.

The attached image shows that division process, and how we can take it a step further to find the area of the model car windshield.

Answer:

A. 2375 inches

Step-by-step explanation:

just did it lol

If postage costs $.54 the 1st ounce and $.22 for each additional ounce calculate the cost of mailing a 10 ounce envelope.

A. $5.40
B. $2.20
C. $5.08
D. $2.52

Answers

0.54+(0.22*9) is equal to 2.52

What is the range of this dot plot? I'm stuck between the answers 8 and 9.

Answers

Lowest value dots are plotted at 0. Highest-value dots are plotted at 9.
The range is the difference between these extremes.
.. 9 - 0 = 9

What is the distance between points S and U?

Round to the nearest tenth of a unit.

3.3 units
6.4 units
8.1 units
12.0 units

Answers

distance = sqrt((6-2)^2 +(8-1)^2)
sqrt(16 +49)
sqrt(65)
8.06
round to 8.1 units

ANSWER

The correct answer is C.

[tex] |SU| = 8.1units[/tex]

EXPLANATION

The given points are,
[tex]S(2,1) \: \: and \: \: U(6,8).[/tex]

We use the distance formula to determine the distance between the two points.

[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} [/tex]

We substitute the points to obtain,

[tex] |SU| = \sqrt{(6- 2) ^{2} + (8 - 1) ^{2} } [/tex]

We simplify to obtain,

[tex] |SU| = \sqrt{(4) ^{2} + (7) ^{2} } [/tex]

We further simplify this to obtain,

[tex] |SU| = \sqrt{16 + 49} [/tex]

[tex] |SU| = \sqrt{65} [/tex]

This evaluates to,

[tex] |SU| = 8.062[/tex]

We round to the nearest tenth to get,

[tex] |SU| = 8.1units[/tex]

Describe two ways that an exterior angle of a triangle is related to one or more of the interior angles

Answers

Both sums of the exterior and interior have to add up to 180, and both are straight lines. That's what I remember

Is the domain {1.8,3.4,9,9.8}

{3.2,3.9,5.8,8.4,9.1}

{2.4,4.8,6.3,8.8,10.1}

{3,4.6,6.7,8.9,10.8}

Answers

You need to find the values of x that correspond to the given values of f(x). That is, you need to solve for x:
.. y = 7x -2.7
.. y +2.7 = 7x
.. x = (y +2.7)/7

You are given y values of {14.1, 30.9, 41.4, 58.9, 68}. The corresponding x values are {2.4, 4.8, 6.3, 8.8, 10.1}, corresponding to selection C.

_____
Since the first number in each choice is different, you only need to evaluate f(x) for those numbers to see which gives the correct result. Only the 3rd one (2.4) give f(2.4) = 14.1, the correct answer.

WILL GIVE 99 POINTS IF ANSWERED ASAP PLEASE

Answers

Answer:

Part A

1. Perimeter of the outside edges = 24 inches

2. One possibility is: length = 8 in. and width = 8 in.

second possibility is: length = 16 in. and width = 4 in.

3. Area of the wood portion = 11 [tex]inches^{2}[/tex]

4. New dimensions are:

Length = 17.5 ft.

Width = 12.5 ft.

Part B

Area of the picture = 24 [tex]inches^{2}[/tex]

Area of the frame = 35 [tex]inches^{2}[/tex]

Step-by-step explanation:

Part A

1. Perimeter of the outside edges = 2(length + width)

= 2(7 + 5)

= 2(12)

= 24 inches

2. If the area of the frame was 64 [tex]inches^{2}[/tex], then the two possible dimensions are:

8 × 8 and 16 × 4

i.e., one possibility is: length = 8 in. and width = 8 in.

second possibility is: length = 16 in. and width = 4 in.

3. Area of the wood portion = Area of the frame - Area of the picture

= (5 × 7) - (4 × 6)

= 35 - 24

= 11 [tex]inches^{2}[/tex]

4. The scale factor is:

1 in. = 2.5 ft.

So, its length = 7 in. = 7(2.5) = 17.5 ft.

width = 5in. = 5(2.5) = 12.5 ft.

Part B:

Length of the picture = 6in.

Width of the picture = 4 in.

Area of the picture = Length × Width

= 6 × 4

= 24 [tex]inches^{2}[/tex]

Length of the frame = 7in.

Width of the frame = 5 in.

Area of the frame = 7 × 5 = 35 [tex]inches^{2}[/tex]

Part A

1) Perimeter of the outside edges

24 inches

2) One possibility is:

length- 8 inches

and width - 8 inches

3) Area of the wood portion

= 11

4) New dimensions are:

Length - 17.5 feet

Width - 12.5 feet

Part B

Area of the picture

- 24

Area of the frame

- 35

Step-by-step explanation:

first part-

1) Perimeter of the outside edges = 2(length + width)

= 2(7 + 5)

= 2(12)

= 24 in

2) if the area of the frame was 64 then there are two possible dimensions

8 × 8 and 16 × 4

the first possibility

length = 8 inches

width = 8 inches

the second possibility

length = 16 inches

width = 4 inches

3) Area of the wood portion= Area of frame - Area of picture

= (5 × 7) - (4 × 6)

= 35 - 24

= 11

4)The scale factor

1 inches = 2.5 feet

length = 7 inches

= 7(2.5)

= 17.5 feet

width = 5 inches

= 5(2.5)

= 12.5 feet

Second part-

Length of picture

= 6 inches

Width of picture

= 4 inches

Area of the picture

(Length × Width)

= 6 × 4

= 24

Length of frame = 7 inches

Width of frame = 5 inches

Area of frame = 7 × 5 = 35

If this helped you please say thanks and mark brainliest

name the quadrilateral with exactly one pair of parallel sides?
A. Kite
B. Parallelogram
C. Rhombus
D. Trapezoid

Answers

B. parallelogram

hope this helps<3

The correct answer to your question is B. Parallelogram.

Reasoning:
A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

I hope this helps!
Please Rate & Thank!
Please mark as Brainliest!

Have a wonderful day! : )

a tyrannosaurus rex weighed about 1.4 tons more than one tenth the weight of a Patagotitan mayorum. About how much did the tyrannosaurus rex weigh?

A Patagonian mayorum was a tyrannosaur that weighed about 76 tons

Answers

This is a very easy question here.

You have two dinosaurs. Let's just label them as Dinasour A (the Tyrannosaurus Rex), and Dinosaur B (the Patagonian Mayorum)

Dinasoar A weighs in at 1.4 tons more than a TENTH of Dinasoar B's weight
We know that Dinosaur B weighs in at 76 tons.

A tenth means exactly what it sounds like, 10/100. If it helps, you can think of it in terms of money, where a single Dime is a TENTH of a Dollar, because it takes 10 total Dimes to make $1

So, to fine a tenth of anything, you have to divide it by 10!
76/10=7.6

7.6 is the tenth of the weight of Dino B. However, the question states that dino A weighs in at 1.4 tons MORE than a tenth, meaning addition.

So, 7.6+1.4=9

Dinosaur A, AKA the Tyrannosaurus Rex, weighs in at 9 Tons.

~Hope this helps!

Final answer:

The Tyrannosaurus rex weighed approximately 9 tons.

Explanation:

To determine the weight of the Tyrannosaurus rex, we need to find one tenth the weight of Patagotitan mayorum, which is 76 tons. One tenth of 76 tons is 7.6 tons. We then add 1.4 tons to this, as the Tyrannosaurus rex weighs about 1.4 tons more than one tenth the weight of Patagotitan mayorum. Therefore, the weight of the Tyrannosaurus rex is approximately 9 tons.

Find the next three terms of the sequence.

–6, –24, –96, –384, . . .

Answers

-1,536, -6,144, -24,576

You multiply by 4 each time

-1536, -6144, -24576
HOPE THIS HELP!

a) A square has an area of 121 cm^2. What is the length of each side?

b) A square has a perimeter of 28m . What is the length of each side?

Answers

A square has equal sides. To find the area, you multiply the length and the height.
x*x=121
x^2=121
x=11
The length of each side is 11

A square has equal sides. To find the perimeter, you add all the sides together.
x+x+x+x=28
4x=28
x=7
The length of each side is 7

Shauna bought a flat cardboard box

Answers

and? what about it?????

Jose creates a scale drawing of a character from one of his comic books using a scale factor of 40%. Caroline wants to use Jose’s scale drawing to create the original-size image of the comic book character. What scale factor will Caroline need to use to draw the original-size image?

Answers

Going from the original to the drawing had a scale factor of 40%=0.4=4/10. Reversing this process, going from the drawing back to the original, would use the reciprocal of this, or 10/4=2.5=250%.

250% is scale factor will Caroline need to use to draw the original-size image.

What is Scale Factor?

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size.

To adjust the size of a figure without altering its shape, a scale factor is a number or conversion factor that is utilised. It is employed to change the size of an object.

Given:

Scale Factor= 40%

As, Jacob use the scale factor= 40%

So, the new image size

= 100 x 40/100

= 40

let Caroline use x% scale factor

then, 40x/100= 100

x= 100 x 100 /40

x= 250%

Hence, 250% is scale factor will Caroline need to use to draw the original-size image.

Learn more about scale factor here:

https://brainly.com/question/29464385

#SPJ5

Evaluate m 0 - n 2 for m = 2 and n = -1.

-1
0
1

Answers

the answer is 1 because anything the zero power is 1

Answer:

the answer is -1

Step-by-step explanation:

Other Questions

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