When two balanced dice are rolled, there are 36 possible outcomes. Find the probability that the first die is 3 or that doubles are rolled.

Answers

Answer 1

Step-by-step explanation:

The space comprising all possible outcomes (sample space) is represented by the 6×66×6 matrix formed by the possible pairs representing the outcome of dice:

From the above sample space, there are six events wherein the first die is 44 (all elements of the fourth row in the matrix). That is, n(F)=6n(F)=6. Moreover, there are six events wherein doubles are rolled (all diagonal elements in the matrix). That is, n(D)=6n(D)=6. The result (4,4)(4,4) is the intersection of both events. That is, n(D∩F)=1n(D∩F)=1.

Therefore, the possibility/probability that the first die is 4 or that doubles are rolled is computed as follows:

P(D∪F)=P(D)+P(F)−P(D∩F)=n(D)n(S)+n(F)n(S)−n(D∩F)n(S)=636+636−136=1136P(D∪F)=P(D)+P(F)−P(D∩F)=n(D)n(S)+n(F)n(S)−n(D∩F)n(S)=636+636−136=1136


Related Questions

is 50 tens x 4 hundreds =40 tens x 5 hundreds true or false

Answers

Answer:

True, 50 tens times hundreds equal 40 tens times 5 hundreds

Step-by-step explanation:

50 tens times 4 hundreds equals to 40 ten times 5

hundreds because if you multiply 50 by 4 hundreds

you'll get 20,000 and if you multiply 40 tens by

hundred it will still give you 20,000

Therefore:

50 × 400 = 40 × 500

20,000 = 20,000

Given the circle below with secants \overline{UVW} UVW and \overline{YXW} YXW . If YW=40, YX=16YW=40,YX=16 and VW=22VW=22, find the length of \overline{UV} UV . Round to the nearest tenth if necessary.

Answers

The length of UV in the circle is given as follows:

13.2.

How to obtain the length of UV?

We are given two secant segments in the circle for this problem.

For two secants, the product of the lengths of one secant segment and it's external segment equals the product of the lengths of the other secant segment and it's external segment.

Hence, from the circle given by the image presented at the end of the answer, the relation for this problem is given as follows:

(22 + 17) x 17 = (20 + UV) x 20

Hence we must simply solve the expression to obtain the length of UV, as follows:

39 x 17 = 400 + 20UV

663 = 400 + 20 UV

20 UV = 263

UV = 263/20

UV = 13.2.

Missing Information

The circles are given by the image presented at the end of the answer.

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Find two consecutive odd numbers such that the difference between their reciprocals is 2/99.

note (the answer key said 9 and 11 and after testing it, it was correct, but I don't know how to get that answer)
Note (the chapter name is fractional equations, so they want us to make an equation and solve it)

Answers

The two consecutive odd numbers such that the difference between their reciprocals is of 2/99 are given as follows:

9 and 11.

How to obtain the numbers?

The two numbers are odd numbers and consecutive, hence they are symbolized as follows:

n and n + 2. (as n + 1 is even).

Their reciprocals are given as follows:

1/n.1/(n + 2).

The difference of their reciprocals is obtained as follows:

1/n - 1/(n + 2) = 2/99.

The least common factor of n and n + 2 is of n x (n + 2), hence:

(n + 2 - n)/[n(n + 2)] = 2/99

2/[n(n + 2)] = 2/99.

As the numerators are equal, we take the denominators to solve for n as follows:

n(n + 2) = 99.

n² + 2n - 99 = 0.

(n - 9)(n + 11) = 0.

Applying the Factor Theorem, the solutions are given as follows:

n - 9 = 0 -> n = 9.n + 11 = 0 -> n = -11.

We want the positive numbers, hence the numbers are:

n = 9 and n + 2 = 9 + 2 = 11.

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For the system of equations shown, tell whether it would take fewer steps to solve by substitution or elimination. Then use that strategy to solve the system. Explain your reasoning.
-3x - 4y = 15
9x + 7y = 25

Answers

Answer:

Step-by-step explanation:

Step: Solve−3x−4y=15for x:

−3x−4y=15

−3x−4y+4y=15+4y(Add 4y to both sides)

−3x=4y+15

−3x

−3

=

4y+15

−3

(Divide both sides by -3)

x=

−4

3

y−5

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

The high of cylinder is 47 m. or inch.. cuz if you make angles and sides of fraction it may multiple by 30 so it would be 47..

Step-by-step explanation:

HOPE IT HELPS!!

Find the value of x for which line L is parallel to M

Answers

Answer:

50

Step-by-step explanation:

Angle 95 and ( 2x - 5 ) are alternate interior angles.

Alternate interior angles are equal.

2x - 5 = 95

2x = 95 + 5

2x = 100

x = 100 / 2

x = 50

I need help with this question, plz someone

Answers

Answer:

1 and 2

Step-by-step explanation:

if you flip T2 it will look like T1

Answer:

The correct answer is a D

Step-by-step explanation:

if you look at figures 1 and 3 they are the same only that 3 is bigger

brooklyn bought 8 bags of the same dog food. She has a $5 coupon. She spent $91. How much was each bad of dog food?

Answers

Answer:

$12

Step-by-step explanation:

Hi there!

What we know:

Brooklyn bought 8 bags of dog foodBrooklyn also used a $5 couponThe total was $91

Therefore, 8 × (cost of 1 bag) - 5 = 91

Form an equation with x as the cost of 1 bag of dog food:

8 × (cost of 1 bag) - 5 = 91

[tex]8x-5=91[/tex]

Add 5 to both sides

[tex]8x-5+5=91+5\\8x=96\\[/tex]

Divide both sides by 8

[tex]\frac{8x}{8} = \frac{96}{8} \\x=12[/tex]

Therefore, 1 bag of dog food costs $12.

I hope this helps!

what is 1+2+3+4+...+1000?

Answers

Answer:

[tex]S_{1000}=500500[/tex]

Step-by-step explanation:

[tex]\displaystyle S_n=\frac{n(a_1+a_n)}{2}=\frac{1000(1+1000)}{2}=500*1001=500500[/tex]

A rectangular piece of card is x cm long and y cm wide
Another rectangular tile is 4 cm shorter and 2 cm wider than the
What is the difference in perimeter between the two tiles?

Answers

When one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.

what is rectangle ?

4 sides, 4 corners, and 4 right angles make up the 2D shape of a rectangle. A rectangle's diagonal sides are equal in length, with one pair being longer than the other. A rectangle would be referred to as a square if all of its sides were the same size.

given

Allowing for a rectangular card that is x cm long and y cm broad

The perimeter of another rectangular tile is 2 cm broader and 4 cm shorter.

L+B = L+B -2 = 2(L + B)

= 2(L-4 + B+2) = 2(L + B)

= L+B = L+B -2

Therefore, when one rectangular tile is 4 cm shorter and 2 cm broader than another rectangular tile, the difference in their perimeters is 2.

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(-5i)(7 + i)

Please help with with the correct response and explanation if you can I would be more than thankful for some help!

Answers

Answer:

To solve this problem, you need to use the distributive property, which states that for any two numbers a and b, and for any numbers x and y, (a + b) * x = ax + bx and x * (a + b) = xa + xb.

Applying the distributive property, we have:

(-5i)(7 + i) = (-5i) * 7 + (-5i) * i

= -35i + (-5i) * i

Now, you need to use the fact that i * i = -1:

(-5i)(7 + i) = -35i + (-5i) * i

= -35i + (-5) * (-1)

= -35i - 5

= -40i - 5

So the final result is -40i - 5.

A psychologist is interested in the mean IQ score of a given group of children. It is known that the IQ scores of the group have a standard deviation of 10. The psychologist randomly selects 100 children from this group and finds that their mean IQ score is 100. Based on this sample, find a 99% confidence interval for the true mean IQ score for all children of this group. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)

Answers

Answer:

The 99% confidence interval for the true mean IQ score for all children of this group is (97.4, 102.6). The lower limit is 97.4 and the upper limit is 102.6.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{10}{\sqrt{100}} = 2.575[/tex]

Rounding to one decimal place, the margin of error is 2.6.

The lower end of the interval is the sample mean subtracted by M. So it is 100 - 2.6 = 97.4.

The upper end of the interval is the sample mean added to M. So it is 100 + 2.6 = 102.6.

The 99% confidence interval for the true mean IQ score for all children of this group is (97.4, 102.6). The lower limit is 97.4 and the upper limit is 102.6.

NEED HELP WILL GIVE BRAINLIEST

Answers

Answer:

B

Step-by-step explanation:

Solution to these system of equations is where they intercept

Answer:

B. (-2, -3)

Step-by-step explanation:

Graphically, the solution to a system of equations is where the two lines of the system intersect. In this given system of equations, the lines intersect at the point (-2, -3), thus the solution to the system of equations is (-2,-3), or option (B).

Solve each linear equation for x.
(A) –12x + 9 = –15x x = (B) 4.5x + 11.5 = 8.5x + 3.5 x = (C) 23 x – 9 = 13 x x =

Answers

Answer:

when I see this I know and can show you how to solve the question and the answer it 2 and it's obvious so if you don't know it that's pretty much sad and pathetic answer 2

a rectangular pyramid has a volume of 560 cubic meters. the base has a length of 16 meters and a width of 10 meters. what is the height of the pyramid

Answers

The awnser is a...........
answer is A but i don’t know

3 7) Find the quotient: : 3/7 1/2​

Answers

Yo bro I just got a message from yesterday I got a message from yesterday and I

Prime numbers are the _______ _______of all numbers

Answers

The numbers which have only two factors either 1 and the number itself are called prime numbers.

What is prime numbers?

Prime number is a natural number greater than 1 that is not a product of two smaller natural numbers while a natural number greater than 1 that is not prime is called a composite number

Therefore a prime number is a whole number greater than 1 whose only factors are 1 and itself. A factor is a whole number that can be divided evenly into another number. The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

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−1, 1/6, −1/36, 1/216,…
What is the recursive rule for this sequence?
Question 9 options:
There is no rule
an = – 1 ⋅ an–1
an = ( 1/6) ⋅ an–1
an = (– 1/6) ⋅ an–1

Answers

Answer:

It is D: an =  (– 1/6) ⋅ an–1

Step-by-step explanation:

you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct

Answers

Answer:

A) 26.563 miles in total

B) 1.977 more miles

Step-by-step explanation:

for the first question, add all the values together. for the second question, take the amount jade ran and subtract the amount noah ran from it to get how much more jade ran.

Lorraine prepared a 2.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?

4 jars
5 jars
8 jars
10 jars

Answers

Answer:

  (c)  8 jars

Step-by-step explanation:

You want to know the number of 1.25 quart jars that can be filled from a 2.5 gallon container.

Jars

The number of jars can be found from ...

  (2.5 gal) × (4 qt/gal) × (1 jar)/(1.25 qt) = (2.5·4/1.25) jars = 8 jars

Lorraine can fill 8 jars from the 2.5 gallon pot.

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A particle moves with velocity function v(t) = −t2 + 5t − 3, with v measured in feet per second and t measured in seconds. Find the acceleration of the particle at time t = 3 seconds.

Answers

The acceleration of the particle is 1 foot per second square

How to determine the acceleration of the particle?

From the question, we have the following parameters that can be used in our computation:

Velocity function v(t) = −t2 + 5t − 3

Express properly

So, we have

v(t) = -t² + 5t − 3

At time t = 3 seconds, we have

v(3) = -(3)² + 5(3) − 3

Evaluate

v(3) = 3

So, we have

Acceleration = v(3)/3

This gives

Acceleration = 3/3

Evaluate

Acceleration = 1 foot per second square

Hence, the acceleration is 1 foot per second square

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A gardener works for 13 hours during a week and charges $169 how much does the gardener charge for each hour?​

Answers

Answer:

You have to divide to unit price, 169/13 is equal to 13!

Step-by-step explanation:

I’m confused HELP pls

Answers

On solving the equation n = za the value of a is obtained as a = n/z.

What is an equation?

A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

To solve for a in the equation n = za, isolate a on one side of the equation.

Do this by dividing both sides by z:

n/z = (za) / z

On the right side, the z's cancel out, leaving -

n/z = a

So the solution is -

a = n/z

Therefore, the value of a that satisfies the equation n = za is equal to n divided by z.

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Please answer the following question, if you send me a link to a unknown website you will be reported.

Answers

Answer:

i think it's b because 80 days is max

A television set cost $350 cash when bought on hire purchase a deposit of $35 is required followed by 12 monthly payments of $30 how much is saved by paying cash​

Answers

Answer:

www.imsorryineedpoints.orgStep-by-step explanation:

Need the next three numbers on the line please help

Answers

Answer:

B = -1

C = -1/2

D = 0

I hope this helps

Step-by-step explanation:

Let the unit distance be 'x'.

There are 4 units in between A and E. It means,

A(unit) + 4(unit) = E(unit)

-1 (1/2) + 4x = (1/2)

-(2+1)/2 + 4x = 1/2

- 3/2 + 4x = 1/2

4x = 1/2 + 3/2

4x = 4/2

x = 1/2

B is at distance x from A= -3/2 + 1/2 = -1

C is at distance 2x fromA=-3/2+2(1/2)=-1/2

D is at distance 3x from A=-3/2+3(1/2)=0

Find Y
Special right triangles
Please last question of the day!! Due very soon

Answers

Given:

A right triangle with angles 30, 60, 90 degrees.

Hypotenuse = [tex]2\sqrt{2}[/tex] mm.

Base = y

To find:

The value of y.

Solution:

In a right angle triangle,

[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos (60^\circ)= \dfrac{y}{2\sqrt{2}}[/tex]

[tex]\dfrac{1}{2}=\dfrac{y}{2\sqrt{2}}[/tex]

[tex]\dfrac{2\sqrt{2}}{2}=y[/tex]

[tex]\sqrt{2}=y[/tex]

Therefore, the value of y is [tex]\sqrt{2}[/tex] mm.

Solve for 0. Round to the nearest tenth of a degree. Sin 0=0.85

Answers

The value of the angle theta is 58 degrees

How to determine the value of the angle theta

From the question, we have the following parameters that can be used in our computation:

Sin 0=0.85

Express the angle in the equation properly

So, we have the following representation

sin(Ф) = 0.85

Take the arc sin of both sides of the equation

So, we have the following representation

sin⁻¹(sin(Ф)) = sin⁻¹(0.85)

Evaluate the arc sin of one side of the equation

So, we have the following representation

Ф = sin⁻¹(0.85)

Evaluate the arc sin of the other side of the equation

So, we have the following representation

Ф = 58.2116693829

Approximate the equation

Ф = 58 degrees

Hence, the solution is 58 degrees

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Please help me! If you get it right, I will give you Brainlist!​

Answers

Answer:

720m^2

Step-by-step explanation:

Answer your answer is B

What transformation maps triangle XYZ onto triangle X'Y'Z'?

Answers

Answer:

a translation of 4 in y direction.

hope it helps.

stay safe healthy and happy.

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