3. Five gentlemen went to Molesky’s restaurant for all-you-can-eat wings. Mr. Andreasen ate 6 wings, Mr. Betz ate 24 wings, Mr. Henricksen ate 18 wings, Mr. Osters ate 20 wings, and Mr. Tyson ate 32 wings

The player that should be backed is specified by: Option B:  E(Jeter) = 0. 39 and E(Pujols) = 0. 51, so back Pujols.

Supposing that the considered random variable is discrete, we get:

[tex]Mean = E(X) = \sum_{\forall x_i} f(x_i)x_i[/tex]

where [tex]x_i; \: \: i = 1,2, ... ,n[/tex] is its n data values

and [tex]f(x_i)[/tex] is the probability of   [tex]X = x_i[/tex]

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For the considered case, the scores of Pujols and Jeter are specified as:

                Bats      Hits      Home runs

Jetter         488      156           9

Pujols        448       125           26

The points that will be earned are:

On each hit : 1 point

On each home run: 4 points

From the statistics specified , the probability of Jetter scoring hits is estimated as:

[tex]P(\text{Jetter scoring hits})=\dfrac{\text{n(hits by Jetter)}}{\text{n(total bats for Jetter)}} = \dfrac{156}{488}\\\\[/tex]

The probability of Jetter scoring home run is estimated as:

[tex]P(\text{Jetter scoring home runs})=\dfrac{\text{n(home runs by Jetter)}}{\text{n(total bats for Jetter)}} = \dfrac{9}{488}\\\\[/tex]

Therefore, we get:

E(Jetter's score) = Score for hits × hits probability by Jetter + Score for home runs × home run's probability by Jetter

E(Jetter's score) = [tex]1 \times \dfrac{156}{488} + 4 \times\dfrac{9}{488} = \dfrac{192}{488} \approx 0.39[/tex]

Similarly, from the statistics specified , the probability of Pujol scoring hits is estimated as:

[tex]P(\text{Pujols scoring hits})=\dfrac{\text{n(hits by Pujols)}}{\text{n(total bats for Pujols)}} = \dfrac{125}{448}\\\\[/tex]

The probability of Pujol scoring home run is estimated as:

[tex]P(\text{Pujols scoring home runs})=\dfrac{\text{n(home runs by Pujols)}}{\text{n(total bats for Pujols)}} = \dfrac{26}{448}\\\\[/tex]

E(Pujol's score) = Score for hits × hit's probability by Pujol + Score for home runs × home run's probability by Pujol

E(Pujol's score) = [tex]1 \times \dfrac{125}{448} + 4 \times\dfrac{26}{448} = \dfrac{229}{448} \approx 0.51[/tex]

Thus, the player that should be backed is specified by: Option B:  E(Jeter) = 0. 39 and E(Pujols) = 0. 51, so back Pujols.

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Answer:

a

Step-by-step explanation:

on edge 22

Answer:

c(5,3)

5×4×3=60

60÷3!=10

the selection can be made in 10 ways

Answer:

I would say C not to sure tho

Answer:

x =5.5

Step-by-step explanation:

The directions say to use x for the number.

"take 10 away from"

x - 10

"then square the result"

(x - 10)^2

"I get the same answer" means the two expressions will be equal to each other.

"if I square my number"

x^2

"then subtract 10 from the result"

x^2 - 10

SET EQUAL TO EACH OTHER.

(x - 10)^2 = x^2 -10

Multiply on the left side.

x^2-20x+100 =x^2-10

subtract x^2 from both sides.

-20x + 100 = -10

subtract 100.

-20x = -110

divide by -20

x = 11/2 or 5.5

CHECK:

(5.5-10)^2=20.25

5.5^2 - 10=20.25

The number would be equal to x =5.5

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The directions say to use x for the number means x - 10

"then square the result" means (x - 10)^2

"I get the same answer" means the two expressions will be equal to each other.

"if I square my number" means x^2

"then subtract 10 from the result" means x^2 - 10

therefore,

(x - 10)^2 = x^2 -10

Now Multiply on the left side.

x^2-20x+100 =x^2-10

Then subtract x^2 from both sides.

-20x + 100 = -10

-20x = -110

x = 11/2 or 5.5

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The expression that is not a variation of the Pythagorean identity is the third option.

The Pythagorean identity can be written as:

[tex]sin^2(x) + cos^2(x) = 1[/tex]

For example, if we subtract cos^2(x) on both sides we get the second option:

[tex]sin^2(x) = 1 - cos^2(x)[/tex]

Which is a variation.

Now, let's divide both sides by cos^2(x).

[tex]sin^2(x)/cos^2(x) + cos^2(x)/cos^2(x) = 1/cos^2(x)\\\\tan^2(x) + 1 = sec^2(x)\\\\tan^2(x) - sec^2(x) = -1[/tex]

Notice that the third expression in the options looks like this one, but the one on the right side is positive. The above expression is in did a variation of the Pythagorean identity, then the one written in the options (with the 1 instead of the -1) is incorrect, meaning that it is not a variation of the Pythagorean identity.

Concluding, the correct option is the third one.

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Answer:

c = 177.8

Step-by-step explanation:

121² + 134² = c²

13641 + 17956 = c²

31597 = c²

[tex] c \: = \sqrt{31579} [/tex]

Answer ≈ 119.21m

Step-by-step explanation: Plugging the radius into the equation for the area of a circle equals 119.209618 which rounds to 119.21.

(π) ([tex]6.16^{2}[/tex]) = 119.209618

The area of triangle ABC is the amount of space on the triangle

The area of the triangle is 54.84 square units

Start by drawing the triangle (see attachment)

Next, calculate the measure of angle B using the following tangent ratio

[tex]\tan(B/2) = \frac 34[/tex]

This gives

[tex]\tan(B/2) = 0.75[/tex]

Take the arc tan of both sides

[tex]B/2 = 36.87[/tex]

Multiply by 2

[tex]B = 73.74[/tex]

Next, calculate the length of side AD using the following equation

[tex]AD = \tan(B) * BD[/tex]

This gives

[tex]AD = \tan(73.74) * 4[/tex]

[tex]AD =13.71[/tex]

The area of the triangle is then calculated as:

[tex]Area = AD * BD[/tex]

This gives

[tex]Area = 13.71 * 4[/tex]

[tex]Area = 54.84[/tex]

Hence, the area of the triangle is 54.84 square units

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Answer:

40 students

Step-by-step explanation:

you have to minus 9 because of the cars then you have 320 divide 8 and you get 40.

Answer:

-5<x<3

Step-by-step explanation:

Answer:

i think its 21/x-4

Step-by-step explanation:

sorry if im wrong

Answer:

Step-by-step explanation:

PS: if this is correct pls mark me brainly thanks :)

The total of T-shirts is proportional to the total of players, which means 15 players = 15 t-shirts.

A proportion describes the number of elements from one category compared to the number of elements in another. For example, if there are 15 boys and 15 girls in a classroom the number of girls and boys is proportional.

These have a proportional relationship because for every player it is expected there is a determined t-shirts number and this number can only increase if the players increase.

1 t-shirt per player:

36 players = 36 t-shirts

2 t-shirts per player:

36 players = 72 t-shirts

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Answer:

 y = 4/3x +2

Step-by-step explanation:

The graph crosses the y-axis at y=2, so that is the y-intercept.

The points have a rise of 4 units for each horizontal run of 3 units, so the slope is ...

 m = rise/run = 4/3

The slope-intercept equation for the line is ...

 y = mx +b . . . . . . line with slope m and y-intercept b

 y = 4/3x +2

Still stuck? Get 1-on-1 help from an expert tutor now.

Answer: Choice D

Step-by-step explanation:

cos(32) = 0.8480480962

cos(58) = 0.5299192642

cos(68) = 0.3746065934

sin(32) = 0.5299192642

sin(58) = 0.8480480962

Cos(58) = sin(32)

Cos(32) = sin(58)

Let's see

[tex]\\ \rm\longmapsto g(2)=3(2)=6[/tex]

[tex]\\ \rm\longmapsto g^2(2)=6^2=36[/tex]

[tex]\\ \rm\longmapsto g^3(2)=6^3=216[/tex]

(2,216)

Answer:

4<sqrt24<5

Step-by-step explanation:

sqrt 16=4

sqrt 25= 5

16<24<25

sqrt 16< sqrt 24 < sqrt 25

Therefore 4< sqrt24 < 5

The sample who prefer a finished basement is 126 homeowners

Given the following parameters

The total number of people surveyed = 300 homeowners

If a realtor has been told that​ 43% of homeowners in a city prefer to have a finished basement, the sample of owners that prefer a finished basement is expressed as:

Sample of owners = 43% of 300

Sample of owners = 0.43 * 300
Sample of owners = 126

Hence the sample who prefer a finished basement is 126 homeowners

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Answer:

x = 4

Step-by-step explanation:

To see when g(x) = f(2)

First, find f(2)

f(2) = 3(2) - 1 = 5

Now g(x) = 2x-3  = f(2) = 5

2x - 3 = 5

Adding 3 to both sides

2x = 8

Dividing 2 on both sides

x = 4

Answer:

x = 8

Step-by-step explanation:

Part a: <1 and <2 are alternate exterior angles because line horizontal lines are parallel

Part b: the value of x can be calculated with the following equation

7x + 15 = 10x - 9 because alternate angles has same measure

15 + 9 = 10x - 7x

24 = 3x divide both sides by 3

8 = x

Answer:

The first coordinate plane has a constant additive rate of change of -1/4

Step-by-step explanation:

Additive rate of change is determined using the slope formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

It must be applied to all of the coordinates given, as sometimes, answer options will have the right slope for the first few options but then change it later in the list. Remember that this is a constant rate of change; it must be the same throughout all of the coordinates.

The first coordinate plane with (-2, 2) and (2, 1) is

[tex]m=\frac{1-2}{2-(-2)} =-0.25[/tex]

so this is the answer. I encourage you to look below to see why the others are not the answer, as there are some tips throughout the rest of my response.

The second plane is a curved line, and this means that it is a function with some kind of exponent or log (judging by the shape, it is probably a quadratic function). Regardless, it will not have a constant change from point to point because of the curve. This is not the answer for those reasons.

The first table is linear (with a constant slope), so that meets the first requirement. The slope, however, is -1/2, so it is not what we are looking for. This is also not the solution.

The last table has a positive slope of 3.3, so this does not fit what we want from an answer.

Hope this helps :)

Answer:

A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1).

Answer:

Choose the numbers in the choices that are 50, 70, or any integer in between 50 and 70.

Step-by-step explanation:

Minimum number of pencils: 5 × 10 = 50

Maximum number of pencils: 5 × 14 = 70

The number of pencils ranges from 50 to 70. All integers 50, 70 and in between 50 and 70 are possible.

Choose the numbers in the choices that are 50, 70, or any integer in between 50 and 70.

Step-by-step explanation:

Substitute the given values into the expression;

[tex]12(3) - 3( \frac{1}{3} ) \div 4(3) - 5[/tex]

Multiply;

[tex]36 - 1 \div 12 - 5[/tex]

Solve Using PEMDAS;

[tex]36 - \frac{1}{12} - 5[/tex]

[tex]35 \frac{11}{12} - 5[/tex]

[tex]\boxed{30 \frac{11}{12} } [/tex]

Answer:

The equation on the graph is: y = -(x+1)(x-6)

Answer:

about 15.8 inches

Step-by-step explanation:

Use the equation [tex]a^{2} + b^{2} = c^{2}[/tex]

Where "a" and "b" are the leg lengths and "c" is the hypotenuse.

The solution is, 15.8 inches is the approximate length of the hypotenuse.

here, we have,

given that,

A right triangle has legs that are 10.1 inches and 12.2 inches long.

We only need to apply Pythagoras theorem to solve this problem.

Pythagoras theorem state that in a right-angle triangle,

opposite² + adjacent²  = hypotenuse²

From the question, the length of the leg = 10.1 inches

one of the leg, lets say adjacent = 12.2 inches

Let x be the hypotenuse of the other leg.

We can now proceed to insert our values into the formula;

opposite² + adjacent²  = hypotenuse²

        10.1²    +      12.2²           = x²

so, we get,

x²  = 10.1² + 12.2²  

x²  = 102.01 + 148.84

x²   =  250.85

Take the square root of both-side to get the value of x

√x²   =  √250.85

x = 15.83

x≈15.8

Therefore the approximate length of the other leg is 15.8 inches.

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Answer:

x=26

Step-by-step explanation:

(0.5x-3)(x-14)=120

foil then solve for x

Answer:

The next term in the sequence can be found by adding 15 to the previous term in the sequence.

Therefore, the next term = 45 + 15 = 60

This is a arithmetic sequence having common difference d=15

If you want next term add 15to the previous one

Like

Next term is

Answer:

B

Step-by-step explanation:

There are 220 pages in carly's novel. At 4 hours, there is 80 pages left, but monica has 120