A pair of fair dice is cast. What is the probabiliy that one of the numbers falling uppermost is a 5, given that the two numbers falling uppermost are different?.

Answers

Answer 1

Using it's concept, it is found that there is a 0.3333 = 33.33% probability that one of the numbers falling uppermost is a 5.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The outcomes are given as follows:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

From the list, we have that:

There are 30 outcomes in which the numbers are different.In those, there are 10 in which one 5 appears.

Hence, the probability is given by:

p = 10/30 = 0.3333 = 33.33%.

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Related Questions

I went to the store with $20. After buying all my groceries, I spent $15.87. How much money do I have left?

Answers

you would have 4.13 left

20-15.87=4.13

Answer:

The answer is $4.13

Step-by-step explanation:

It is easier to do this if we add two zeros at the end of 20 to make it 20.00 so the decimal places line up. Lets take it one place at a time. first is the hundreths, which is 0-7. This is not possible, so we borrow from the tenths, but the tenths is also a zero. The tenths zero has to borrow from the ones zero. Basically, the 2 in 20 becomes 1, and the zeros in the ones and tenths place become nines, and the last zero becomes 10. 10 minus 7 is 3, 9 minus 8 is 1, 9-5 is 4, and 1-1 is 0.

Hope this helps!

let f(x)=3x+4 and g(x)=2x-5 find (f-g)(x)

Answers

Step-by-step explanation:

find; (f-g)(x)

(f(x) - g(x))

f(x) = 3x + 4, g(x) = 2x - 5

3x + 4 - 2x + 5

x +9

Find the missing coordinate.
x = cos t
y = sin t
(-1, [?])

Answers

You can base this on the unit circle. When x or cos is -1 on the unit circle, y or sin is 0. Since there are no factors changing sine or cosine, they have to be on the unit circle, so we know that sin has to be the 0 corresponding with cos=-1.

I need help with this

Answers

Answer:

You are correct with B!!

Step-by-step explanation:

(x⁹)²

We have to multiply 9 x 2, regardless of the parenthesis for this one.

9 × 2 is 18.

We cannot simply 18 further.

Carry the x in front of 18.

x¹⁸

A triangle has two sides of length 4 and 2. What is the smallest possible whole-number length for the third side?

Answers

Answer:

19

Step-by-step explanation:




Given f(x) = 3x2 + kx – 7, and the remainder when f (x) is divided by x – 4 is
81, then what is the value of k?

Answers

Answer:

-243

Step-by-step explanation:

{3׳ykx-7 incluye

For what value of x does 3^4x=27^x-3?
0 -9
O-3
O 3
O 9

Answers

Answer:

the answer to the value of X is 0-3

Rewrite each expression below using the Distributive Property :

a. 5 (2x + 1)

b. 34 (x - 1)

c. 9 (x + 3)

Answers

a. 10x+6

b. 34x-34

c. 9x+27

Shane found a website that gives the daily weather report from mars. for 4 days, shane recorded the daily high and low temperatures on mars.use the dropdowns to complete each statement. table of daily high and low temperatures in degrees celsius. on day 1, the low was negative eighty-two; the high was negative twenty-four. on day 2, the low was negative eighty-three; the high was negative twenty-six. on day 3, the low was negative eighty-four; the high was negative twenty-seven. on day 4, the low was negative eighty-four; the high was negative twenty-eight.a. the average temperature on day 2 was blank.b. the difference of the average high temperature and the average low temperature for all four days is blank.c. the day with the greatest average temperature was blank.

Answers

The average temperature on day 2 was -54.5.

What is Average?

This is usually calculated with the sum of the numbers divided by how many numbers are present.

The average temperature on day 2 = -83-26 /2 = -54.5The difference of the average high temperature and the average low temperature for all four days include the following:

       Day one = -82-(-24) = -58

       Day two = -83-(-26) = -57

       Day three = -84-(-27) = -57

      Day four = -84-(-28) = -56

The day with the greatest average temperature was Day one = -82-24/2 = -53.

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Answer:

Step-by-step explanation:

**WILL GIVE BRAINLIEST** please help me

Answers

Answer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWER

what is the square root of 6​

Answers

Square Root of 6: 2.449489742783178
Square Root of 6 in exponential form: (6)½ or (6)0.5
Square Root of 6 in radical form: √6

Consider the system and find the eigenvalues and the eigenvectors

Answers

Eigenvalues are the special set of scalar values which is associated with the set of linear equations in matrix equations.

What are Eigenvalues?

Your information is incomplete. Therefore, an overview will be given. An eigenvector of a linear transformation is a nonzero vector that changes by a scalar factor when the linear transformation is applied to it.

The eigenvectors of matrix A are those vectors X for which multiplication by A will result in a vector in thesame direction or opposite direction to X.

Since the zero vector 0 has no direction, 0 is never allowed to be an eigenvector.

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An eigenvector of a linear transformation and eigenvectors of a system

Ax = Bx can be determined where B is an eigenvalue of A.

What are Eigenvalues?

An eigenvector of a linear transformation is a nonzero vector that changes by a scalar factor when the linear transformation is applied to it.

The eigenvectors of matrix A are those vectors X for which multiplication by A will result in a vector in the same direction or opposite direction to X.

The basic equation is

Ax = Bx

here B is an eigenvalue of A.

Since the zero vector has no direction, zero is never allowed to be an eigenvector.

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How much does it cost to buy 3 watering cans if each watering can costs $7.48?

Answers

Answer:

$22.44

Step-by-step explanation:

        We can multiply the total number of watering cans being bought by the total cost of one watering can.

3 * 7.48 = 22.44

                       It will cost $22.44 to buy three watering cans.

what is the value of the expression (-2) to the third power (-2) to the second power

Answers

Answer:

-2 to the third power is -8

-2 to the second power is -4

Step-by-step explanation:

-2 to the 3 power = -2× -2×-2

-2 to the second power is -2×-2

X 12. Find the volume of the composite solid. Use 3.14 for . 5.5 ft Find the volume of the cone using the formula. ​

Answers

Answer: 74.61 ft^3

Step-by-step explanation:

Find the distance between the points 4,7 and -5,7

Answers

Answer:

9

Step-by-step explanation:

Horizontal line from 4 to -5.

Distance formula is: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

       [tex](x_{1},y_{1}) = (4,7)\\(x_{2},y_{2}) = (-5,7)[/tex]

Thus let us plug in all the know values and solve:

      [tex]\sqrt{(-5-4)^2+(7-7)^2} =\sqrt{(-9)^2} =\sqrt{81} = 9[/tex]

Thus the distance is 9

Hope that helps!

I have to finish this before next week because of grades please thanks

Answers

Answer:

D

Step-by-step explanation:

hello evryone. please help if you know the answer. donr help if u dont know the answer. ill give brailest to the first person that answers

Answers

a WHOLE is always simplified to "1", namely 100/100 = 1, 57/57 = 1 and so on.  Well, in this case we have a total of 21 students, so 21/21 is all of them, their "whole", but we also know that 6 of them read about animals and the rest about plants, so

[tex]\stackrel{whole}{\cfrac{21}{21}}\qquad \qquad \cfrac{\stackrel{animals}{6}~~ + ~~\stackrel{plants}{15}}{21}\implies \cfrac{6}{21}~~ + ~~\stackrel{plants}{\cfrac{15}{21}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{15}{21}\implies \cfrac{3\cdot 5}{3\cdot 7}\implies \cfrac{3}{3}\cdot \cfrac{5}{7}\implies 1\cdot \cfrac{5}{7}\implies \boxed{\cfrac{5}{7}}[/tex]

Answer:

I think its 5 over 7

Step-by-step explanation:

because 6-21 equals 15 so 15 is how many read about plants out of the total students at the library which is 21.if you divide 15 over 21 by 3 you get 5 over 7

4.
Which expression is equivalent to x^4 – 2x^3 + x^2 ?
-
A. x²(x - 1)^2
B. x²(x + 1)^2?
C. (x + 9)(x - 9)
D. 2(x+ 3)(x - 3)

Answers

Answer:

Dont have an answer but maybe this will help

Step-by-step explanation:

Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.

Sketch the graph of the function y=3 sin(2x)-1

Answers

Function: y = 3sin(2x) - 1

Find y-intercept:

y = 3sin(2x) - 1y =  3sin(2(0)) - 1y = -1

Formula for minimum: m = A ‐ |B|

Minimum:

-1 - |3|-4

=========

When y = -4

3sin(2x) - 1 = -43sin(2x) = -3sin(2x) = -12x = sin⁻¹(-1)2x =-450°, -90°, 270°, 630°x = -225°, -45°, 135°, 315°

Formula for maximum: M = A + |B|

Maximum:

-1 + |3|2

=========

When y = 2

3sin(2x) - 1 = 2sin(2x) = 12x = sin⁻¹(1)2x = -630°, -270°, 90°, 450°x = -315°, -135°, 45°, 225°

Now we can plot the graph for the equation in range of -360° < x < 360°

For more graphing problems: brainly.com/question/27117441

Answer:

[tex]y=A\sin(B(x+C))+D[/tex]

Amplitude = A

The height from the center line to the peak (or trough).

Period = (2π)/B

The horizontal distance from one peak to the next.

Phase shift = C

How far the function is shifted horizontally from its usual position.
(positive is to the left, negative is to the right).

Vertical shift = D

How far the function is shifted vertically from its usual position.

Parent function:

[tex]y=\sin(x)[/tex]

Therefore:

Amplitude = 1Period = 2πPhase shift = noneVertical shift = none

Given function:

[tex]y=3\sin(2x)-1[/tex]

[tex]y=3\sin(2(x+0))-1[/tex]

Therefore:

Amplitude = 3Period = πPhase shift = noneVertical shift = -1

**See attached images for how the parent function is transformed to the final function**

If Sam has 120 dollars to spent what will he use it on, 20 apples that cost $6 or 50 pears that cost $3 dollars

Answers

Answer:

50 pears = 3 dollars

Step-by-step explanation:

he would want to save as much as possible

What is the x to help me

Answers

Answer:

116 degrees

Step-by-step explanation:

the shape is 360 degrees in total

64+64 = 128

360-128 = 232

232/2 = 116

PLEASE HELP MEEEEE PLEASE ASAP

Answers

5 units to the left and 2 units down

I need help please help me

Answers

Method 1 :

replace x and y by their value 1 and 3

3 = 4(1) - 1 = 4-1 = 3

2(1) + 3 = 2 + 3 = 5

correct

Method 2 :

y = 4x - 1

2x + y = 5

y = 4x - 1

y = -2x + 5

y - y = 4x - 1 - ( -2x + 5 )

0 = 4x - 1 + 2x - 5

6x - 6 = 0

6x = 6

x = 6/6 = 1

y = 4x - 1

y = 4(1) - 1

y = 3

correct

Answer:

Yes the points (1,3) is the solution for the systems of equations that are shown

Step-by-step explanation:

y = 4x - 1

plug in the numbers

3 = 4(1) - 1

3 = 4 - 1

3 = 3 so this is correct

2x + y = 5

plug in the numbers

2(1) + 3 = 5

2 + 3 = 5

5 = 5

so that means the points are also a solution for BOTH

Chloe has taken four tests this semester. Her scores on the three tests are 87, 78, and 61. If her test average is 78.5, what is her grade on her 4th test?

Answers

n = last test

(87 + 78 + 61 + n) : 4 = 78,5

87 + 78 + 61 + n   = 78,5 x 4

n = 314 - 226

n = 88

(За + 2b) (2а — b) HELP ME PLEASE

Answers

Answer:

6a^2 + ab - 2b^2

Step-by-step explanation:

[insert something smart]

The vertices of a quadrilateral drawn in a coordinate plane are (-6,6), (4,6), (2,-5), and (-6,-9). what is the length of the side joining the vertex in quadrant i to the vertex in quadrant 11? a) 2 b) 8 c) 10 d) 12​

Answers

Using the formula for the distance between two points, it is found that the length of the side joining the vertex in quadrant i to the vertex in quadrant ii is given by:

c) 10

What is the distance between two points?

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

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

In quadrant I, both coordinates are positive, hence the vertex is (4,6). In quadrant II, x is negative while y is positive, hence the vertex is (-6,6). Thus, the distance is given by:

[tex]D = \sqrt{(-6 - 4)^2+(6 - 6)^2} = 10[/tex]

Which means that option C is correct.

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if log7=a and log…
help me solve ths math problem on picture

Answers

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: log_{4}(39.2) [/tex]

[tex]\qquad \sf  \dashrightarrow \: log_{4}( {2}^{3} \times {7}^{2} \times 10 {}^{ - 1} ) [/tex]

[tex]\qquad \sf  \dashrightarrow \: log_{4}( {2}^{3} ) + log_{4}( {7}^{2} ) + log_{4}(10 {}^{ - 1} ) [/tex]

[tex]\qquad \sf  \dashrightarrow \: log_{ {2}^{2} }( {2}^{3} ) + log_{ {2}^{2} }( {7}^{2} ) + log_{ {2}^{2} }(10 {}^{ - 1} ) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{3}{2} log_{2}(2) + \frac{2}{2} log_{2}(7) - \frac{1}{2} log_{2}(10) [/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{3}{2} + a - \frac{b}{2} [/tex]

That's the required result ~

also you can take it's LCM and write it as :

[tex]\qquad \sf  \dashrightarrow \: \dfrac{2a - b + 3}{2} [/tex]

Suppose that 25 inches of wire costs 75 cents.
At the same rate, how much (in cents) will 21 inches of wire cost?

Answers

Answer:

73 cents

Step-by-step explanation:

first multiply 75×21 and you will get 1575 then divide 1575 by 25 and you get 73 which is 73 cents

Khalil has a game board as shown below, which is a square with 20 cm sides. The area of the largest circle is 314
square centimeters
What is the probability of scoring 1, 3, or 5 points with one randomly thrown dart?
O 50%
O 62.5%
O75%
O78.5%

Answers

Answer:

78.5

Step-by-step explanation:

The probability of scoring 1 , 3 or 5 points is 78.5% ( optionD)

What is probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event is 1 and it's 100% in percentage.

probability is expressed as;

probably = sample space/total outcome

The area of the square is expressed as;

A = l²

= 20 × 20

= 400cm²

The area of the biggest circle is 314 cm²

The probability of scoring 1, 3 or 5

= 314/400 = 0.785

in percentage = 0.785 × 100

= 78.5%

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