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Answer:

Expected value of drawing a card in this game on the first turn = 6

Step-by-step explanation:

Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.

To find -  What is the expected value of drawing a card in this game on the first turn?

Formula used -

Expected value, E[x] = ∑ x p(x)

where p(x) is the probability

Proof -

Total cards in a standard deck = 52

Total face cards = 12 (a jack, a queen, or a king)

Other cards = 40

Now,

Probability of getting a face card = [tex]\frac{12}{52}[/tex]

Probability of getting a other card = [tex]\frac{40}{52}[/tex]

So,

Expected value, E[x] = ∑ x p(x)

                                  = (16)([tex]\frac{12}{52}[/tex]) + (3)([tex]\frac{40}{52}[/tex])

                                  = [tex]\frac{192}{52} + \frac{120}{52}[/tex]

                                  = [tex]\frac{312}{52}[/tex]

                                  = 6

∴ we get

Expected value of drawing a card in this game on the first turn = 6

So,

The correct option is - B. 6 points

Answer:

50

Step-by-step explanation:

30% * n = 15

Change to decimal form

.30 *n = 15

Divide each side by .30

.30n/.30 = 15/.30

n =50

The number is 50

From SOHCAHTOA

Sin0=Opp/HYP

Sin0 = 9/15

Step-by-step explanation:

sinβ=p/h

sinβ=12/15

sinβ=4/5

Answer:

its right because any object can be measure no matter how curve it is

Step-by-step explanation:

Answer:

[tex]\displaystyle f'(16) = \frac{1}{32}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle f(x) = \sqrt[4]{x}[/tex]

f'(16) is x = 16 for the derivative f'(x)

Step 2: Differentiate

Step 3: Solve

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

Median: 89

Mean: 87.5

Step-by-step explanation:

86, 90, 93, 85, 79, 92

93, 85

93 + 85

178

178/2

89

86 + 90 + 93 + 85 + 79 + 92

525

525/6

87.5

Answer:

g(x) = 5ln (x-6)

Step-by-step explanation:

For us to have a vertical stretch, we need to multiply the whole function by the factor of stretching

Say for example, we stretched f(x) by a factor of a , we have the result as a•f(x)

Now, when we shift by a certain number of units, this is particularly a translation

The kind we have here is a horizontal translation

So by shifting 6 units left, we have it that we need to subtract 6 units from the x-coordinate value

Thus, we have the resulting function as;

g(x) = 5ln (x-6)

Answer: 30 fish

Step-by-step explanation:

A tank measuring 5 feet by 3 feet by 3 feet has a volume of 5*3*3 =45 cubic feet.

If there are 45 cubic feet of water in this tank, and each fish requires 1.5 cubic feet of water, the number of fish that can fit in the tank is 45/1.5 = 30.

Answer:

non-negative

Step-by-step explanation:

Given

[tex]-4x\cdot y\cdot 0^6[/tex]

[tex]x , y > 0[/tex] --- Positive numbers

Required

The sign

[tex]-4x\cdot y\cdot 0^6[/tex]

First, we simplify the expression

[tex]0^6 = 0[/tex]

So:

[tex]-4x\cdot y\cdot 0^6 = -4x\cdot y\cdot 0[/tex]

The product of 0 and any factor is 0. So:

[tex]-4x\cdot y\cdot 0^6 = 0[/tex]

Since the result is 0, then the sign is non-negative

Answer:

x = 47

Step-by-step explanation:

There Are Many Methods In Which You Can Do It.

X = 47 ( Alternate Angles)   //Alternate angles are angles that are in opposite  positions relative to a transversal intersecting two lines.

Step-by-step explanation:

X=47due to alterNate anglr

Answer:

The slope of the line is 4.

Step-by-step explanation:

Recall that slope = rise over run:  rise / run.

From the table we see that if x changes from 0 to 4, a run of 4, y changes from -1 to 15, a rise of 16, the slope of this line must be

m = rise / run = 16/4 = 4

The slope of the line is 4.

Answer:

angle c is 82 degree because 82 degree and angle c are corresponding angles.

Step-by-step explanation:

note :corredponding angles are always equal.

All possibilities were discussed in order to write the required linear equation.

The given linear equation is:

[tex]10x+5y=20[/tex]

An equation of the form ax+by+c=0 is called a linear equation where a, b, c∈R

For a unique solution, we need an equation ax+by+c=0 such that

[tex]\frac{10}{a} \neq \frac{5}{b}[/tex]

For infinitely many solutions, we need an equation ax+by+c=0 such that

[tex]\frac{10}{a} =\frac{5}{b} =\frac{-20}{c}[/tex]

Hence, all possibilities were discussed in order to write the required linear equation.

To get more about linear equations visit:

https://brainly.com/question/14323743

Answer:

Your answer will be [tex]D/1.1[/tex].

Step-by-step explanation:

I did this on edge just a second ago and got it correct! Therefore, [tex]D/1.1[/tex] will be your final answer.

Mark me brainliest if you can when someone else answers. If not then it's alright! I'm happy that I helped you. Have a good day! :D

Answer:

1.1

Step-by-step explanation:

The solution is: When the line passes through x = -6, the value of y is: -13.

Here, we have,

given that,

A line on a coordinate plane passes through the point (2, -7) and has a slope of 0.75.

we know the equation of straight line is: ;

y = mx + c

here, m = 0.75 and, (x,y) =(2, -7)

so, we get,

c = -7 - 0.75*2 = - 8.5

So, the equation of straight line is:

y = 0.75x - 8.5

now, when the line passes through x = -6,

we get,

y =  0.75* (-6) - 8.5

  = - 13

Hence, The solution is: When the line passes through x = -6, the value of y is: -13.

To learn more on Equation 0f Straight-Line click:

brainly.com/question/25124441

#SPJ1

Answer:

Step-by-step explanation:

(23,0)

23 computers

the they make 0 dollars

Answer:7.85

Step-by-step explanation:

7 17/20 as a decimal is 7.85

how I got that?

1. 17/20=0.85

2, 7+0.85=7.85

hope this helps!

Answer:

[tex]\displaystyle y = \frac{t^2}{16} + 18[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Antiderivatives - Integrals

Integration Constant C

Integration Rule [Reverse Power Rule]:                                                                   [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                             [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (0, 18)

[tex]\displaystyle \frac{dy}{dt} = \frac{1}{8} t[/tex]

Step 2: Find General Solution

Use integration

Step 3: Find Particular Solution

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Integration

Book: College Calculus 10e

Answer:

-50 N

Step-by-step explanation:

125 - 75 = 50

left = negative

right = positive

The ball is going to be kicked to the left because the net force on the right is larger, and as you can see above, left = negative and right = positive. So the answer would be -50 N

Answer:

7b - 2 = 6b

3b + 7 = 10b

6b + 6b + 10b +10b

12b + 20b

34b

№7

[tex]4(5y - 2) = 52\\4*5*y - 4 * 2 = 52\\20y - 8 = 52\\20 y = 52 + 8\\20y = 60\\y = 60 : 20\\y = 3[/tex]

№11

[tex]2x + 17 = 5x - 4\\17 + 4 = 5x - 2x\\21 = 3x\\x = 21 : 3\\x = 7[/tex]

№12

[tex]2x + 7 = 16 - 4x\\2x + 4x = 16 - 7\\6x = 9\\x = 9 : 6\\x = \frac{3}{2}\\x = 1,5[/tex]

№14

[tex]4(2y + 1) = 2 (12 - y)\\4*2*y + 4 * 1 = 2 * 12 - 2 * y\\8y + 4 = 24 - 2y\\8y + 2y = 24 - 4\\10y = 20\\y = 20 : 10\\y = 2[/tex]

№15

[tex]7 - 3x = 2(x + 1)\\7 - 3x = 2x + 2\\7 - 2 = 2x + 3x\\5 = 5x\\x = 5 : 5\\x = 1[/tex]

№16

[tex]\frac{x-3}{2} = 5\\x-3 = 5*2\\x - 3 = 10\\x = 10 + 3\\x = 13[/tex]

==================================================

Explanation:

From the given info, we see that 91 is two standard deviations above the mean. The diagram shows 91 is two tickmarks to the right of center. Or we could note that z = (x-mu)/sigma = (91-75)/8 = 2.

Roughly 95% of the normal distribution is within 2 standard deviations of the mean. I'm using the Empirical Rule.

So about 95% of the population is between 59 and 91 inches tall. That leaves 5% of the population in both tails combined. Cut this in half to get 2.5%

We have 2.5% of the population taller than 91 inches

2.5% of 4500 = 0.025*4500 = 112.5 = 113

Roughly 113 people are taller than 91 inches

----------

Side notes:

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

Hope it helps!

Brainliest pls!

Follow me! :)

Answer:

There are 59,049 different ways of answering the exam.

Step-by-step explanation:

The first thing we need to count is the total number of selections, then we need to count the number of options for each one of these selections. The total number of combinations will be equal to the product between all the numbers of options.

Here, the selections are each one of the 10 questions, so we have 10 selections.

And each one of these selections has 3 options (true, false, blank)

So, we have 10 selections with 3 options each, then the total number of combinations will be:

C = 3*3*3*3*3*3*3*3*3*3 = 3^10

C = 59,049

There are 59,049 different ways of answering the exam.

Answer:

[tex]y=-\frac{2}{3}x[/tex]

Step-by-step explanation:

Equation: y=mx+b

we know the slope (m) and so we can write

(-2/3)x+b=y

we need to solve for b

to do this plug in 6 for x and -4 for y

(-2/3)(6)+b= -4

-4+b= -4

b=0

therefore the final answer is just

(-2/3)x