The sample space below shows the results the final eight matches played by the English soccer team
Manchester United during their championship 2012 - 2013 season. They won matches where they
scored more goals than their opponent, lost matches where they scored less, and tied matches where they
scored the same amount.
If we take matches 1, 3, 5, 6, and 8 as a subset of the sample space, which of the statements below
describe this subset?

Answer:

P=5%

Step-by-step explanation:

In order to solve this problem, we can use the following formula for the probability of two independent events:

P(A and B)=P(A)*P(B)

so we need to find the probability for each event to happen.

They are asking for the probability that the winning  ticket will have the letter e on it. There are 5 vowels in the alphabet (a, e, i, o and u). Therefore the probability for the first letter to be e is:

[tex]P(A)=\frac{desired}{total}[/tex]

[tex]P(A)=\rac{1}{5}[/tex]

We also know there are 4 prime numbers between 0 and 10 (2, 3, 5, 7) so the probability for the number to be a 5 is:

[tex]P(B)=\frac{1}{4}[/tex]

so the probability of getting a ticket that starts with an e and ends with a 5 is:

P(A and B)=P(A)*P(B)

[tex]P(A and B)=(\frac{1}{5})(\frac{1}{4})[/tex]

[tex]P(A and B)=\frac{1}{20}[/tex]

so the probability is 5%

The probability that the winning ticket has the vowel contained in the word event and the digit is the number of letters in the word event is P=5%.

The chance of happening an event out of all the possible outcomes is called the probability of an event.

The probability of two independent events

P(A and B)=P(A)*P(B)

The probability that the winning ticket will have the letter e on it. There are 5 vowels in the alphabet (a, e, i, o and u). So, the probability for the first letter to be e is:

P(e) =1/5

There are 4 prime numbers between 0 and 10 (2, 3, 5, 7) so the probability for the number to be a 5 is:

P(B) =1/4

So, the probability of getting a ticket that starts with an e and ending with a 5 is:

P(A and B)=P(A)*P(B)

= 1/5 x 1/4 =1/20

In percentage , probability is 1/20 x 100 % =5%

Hence, the probability is 5%

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[tex]{\huge{\boxed{\mathcal{\green{ANSWER}}}}} \\ \\ 12(7y + 4) = 0 \\ \\ 84y + 48 = 0 \\ \\ 84y = - 48 \\ \\ y = - 48 \div 84 \\ \\ y = - 0.571 \\ \\ {\huge{\boxed{\mathfrak{\pink{hope \: it \: helps}}}}}[/tex]

Answer:

13 mph

Step-by-step explanation:

45.5/3.5 = 13

Answer:

13 mph

Step-by-step explanation:

divide 45.5 by 3.5 to get 13 mph

Answer:

4/3

Step-by-step explanation:

You're going to want to use the slope formula which is attached. Using this, you'll take the second y and subtract the first y from it. In other words, 11-7, which is 4. This will be the numerator. Then, you'll take the second x and subtract the first x from it. In other words, 6-3, which is 3. This will be the denominator. The final answer is [tex]\frac{4}{3}[/tex].

Answer:

second choice y = -2(x+4) + 15

Answer:

magnitude of √61 and a direction angle equal to approximately 40°

Step-by-step explanation:

I inserted the x,y axis into a vector calculator to get the magnitude and angle :D

The magnitude of the vector is √61 and the direction of the angle is 40 degrees option (C) magnitude of √61 and a direction angle equal to approximately 40° is correct.

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

We have a vector shown in the picture.

The coordinate of the vector are:

The tail coordinate = (0, 0)

The head coordinate = (6, 5)

We can find the magnitude of the vector using the distance formula:

The distance formula can be given as:

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

[tex]\rm M=\sqrt{(6-0)^2+(5-0)^2}[/tex]

M = √61

The direction of the angle:

tanA = 5/6

tanA = 0.8333

A =39.80 ≈ 40 degrees

Thus, the magnitude of the vector is √61 and the direction of the angle is 40 degrees option (C) magnitude of √61 and a direction angle equal to approximately 40° is correct.

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Answer:

According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.

She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z

Step-by-step explanation:

Given the equation solved by Wayra expressed as;

Step 1: 13(z+6) = 4(z-3)-5z

She is find the value of z from the equation;

Step 2: Open the parenthesis using the distributive property;

13(z+6) = 4(z-3)-5z

13z + 13(6) = 4z - 4(3) - 5z

13z + 78 = 4z - 12 - 5z

Step 3: Simplify

13z + 78 = 4z - 5z - 12

13z + 78 = -z -12

Step 4: Collect the like terms;

13z + z = -12 - 78

Step 5: Simplify the result

14z = -90

Step 6: Divide both sides by 14

14z/14 = -90/14

z = 6.428

According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.

She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z

Answer:

Total cost = 40 + 0.2t

Step-by-step explanation:

Given:

Fixed cost for call = $40

Each message cost = $0.20

Number of message = t

Find:

Equation of total cost

Computation:

Equation of total cost

Total cost = Fixed cost for call + (Each message cost)(Number of message)

Total cost = 40 + 0.2t

Answer:

It will take 50 seconds for the pebble to reach the height

Step-by-step explanation:

To calculate the time, simple substitute h(t) for 32,500

So we have

32,500 = 20,000 + 5t^2

5t^2 = 32,500-20,000

5t^2 = 12500

t^2 = 12500/5

t^2 = 2500

t = square root of 2500

t = 50 seconds

Answer:

i think it would be 20%

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:19) x=53. 20) x=143

Step-by-step explanation: it’s a co interior angle so they should add up to 180 so u do 180-127=53

Answer: $8 and a ratio could be 12 for 8

Step-by-step explanation:

Answer:

D. Lol is this Ed.genuity?

Step-by-step explanation:

[tex]\boxed{\,1\,}\qquad\left(\dfrac23\right)\\\\\boxed{\,2\,}\quad27\left(\dfrac23\right) \\\\\boxed{\,3\,}\quad12\left(\dfrac23\right)\qquad \bold8\\\\ \boxed{\,4\,}\quad\ 9\,\left(\dfrac23\right)[/tex]

Answer:

It is 25

Step-by-step explanation: 5 10 15 20 25

5*5 =25

Hope this help:)

Answer:

28.4484

Step-by-step explanation:

Answer:

28.46

Step-by-step explanation:

Use this equation: 2 π r

Answer:

Yes

Step-by-step explanation:

ΔGHJ ≅ΔGKJ    -------> A A S congruent

Answer:

a is 5 and b is 6 but I am not sure but I hope it helps

Answer: me but I cant play with anyone

Step-by-step explanation:

Answer:

w =4................?????.

Answer:

-98

Step-by-step explanation:

simplify both sides

Answer:

116.00

Step-by-step explanation:

Answer:

<ABC = 85

Step-by-step explanation:

3x + 25 + 5x - 5 = 180

8x + 20 = 180

     - 20     - 20

8x = 160

/ 8      / 8

x = 20

3x + 25

3 (20) + 25

60 + 25

85

Answer:

$62.32

Step-by-step explanation:

54.19 · 15/100 = 812.85/100 = 8.1285

simplify 8.1285, so it's 8.13

$54.19 + $8.13 = $62.32

Answer:

march 4th?

Step-by-step explanation:

April 29? That seems like a birthday you would have with your name.

Answer:

-28

Step-by-step explanation:

The solution is the value of f(3) = -28.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

given expression is,

f(x) = -4x^2 + 4x - 4

now, we have to find the value of f(3).

so, we have to put x = 3, in the expression.

we get,

f(x) = -4x^2 + 4x - 4

f(3) = -4* 9 + 4*3 -4

or, f(3) = -36 + 12 -4

or, f(3) = -28

Hence, The solution is the value of f(3) = -28.

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Answer:

d

Step-by-step explanation:

equalitivietion form akk absolute vaules.