Consider a game in which you draw playing cards from a standard 52-card deck, one at a time. If a player draws a face card (a jack, a queen, or a king), the player is awarded 10 points. Any other card drawn costs the player 3 points. What is the expected value of drawing a card in this game? A. 0 points B. 3 points C. 6.5 points D. 10 points

Answers

Answer 1

Answer: B

Step-by-step explanation: There are many less face cards in the deck than other cards, you would think youre getting 3 points each time rather than thinking 10 points each time


Related Questions

What is the area, measured in square centimeters, of the green shape
pictured below? Do not include units in your answer.

Answers

Answer:

21

Step-by-step explanation:

To find the area of a parallelogram, we can split this shape up into a rectangle and two right triangles.

The rectangle:

The rectangle has dimensions of 4 by 3 centimeters therefore the area would be 4*3=12 cm squared

two right triangles:

The area of a triangle is 1/2 base * height, but since there are two triangles it would just be the base times the height. The base is 3 cm and the height is 3 so 3*3=9

Next, we add the two areas together: 12+9 = 21

Data were recorded for a car’s fuel efficiency, in miles per gallon (mpg), and corresponding speed, in miles per hour (mph). Scatterplot A displays the relationship between the car’s speed and fuel efficiency. Two transformations of the data are shown in scatterplots B and C. Scatterplot B displays the relationship between the car’s speed and the natural log of the fuel efficiency. Scatterplot C displays the relationship between the natural log of the car’s speed and the natural log of the fuel efficiency.



Which scatterplot best represents the relationship between a car’s speed and its fuel efficiency?

A linear model would best represent the relationship because scatterplot A is fairly linear.
An exponential model would best represent the relationship because scatterplot B is fairly linear.
A power model would best represent the relationship because scatterplot C is fairly linear.
A linear model would best represent the relationship because scatterplot C is fairly linear.

Answers

Answer:

A power model would best represent the relationship because scatterplot C is fairly linear.

Step-by-step explanation:

I think that is the answer but I am not sure between option 2 and 3. I would eliminate linear models for this graph for sure.

I hope I helped you a little!

Have a nice day! :)

The astronauts of Expedition 28 on the international Space Station spend 15 weeks in space. Convert the time to minutes.

Answers

151,200 , this is because there are 10080 minutes in a week therefore you would times it by 15 , hope this helps :)

A prism is completely filled with 270 cubes that have edge length of 13
in.

What is the volume of the prism?

Answers

Answer:

593190 cubic inches

Step-by-step explanation:

to solve this equation you must first find out the volume of one cube

that can be modeled by 13*13*13 or more simply 13^3

13^3 = 2197

then you multiply that to 270

2197 * 270 = 593190

that is your answer

Answer: 593190 in^3

Step-by-Step Explanation:

No. of Cubes = 270
Edge Length (a) = 13 in
Volume = a^3

Therefore, Volume of one Cube :-
= a^3
= 13^3
= 13 * 13 * 13
= 2197

Therefore, Volume of Prism :-
= Volume of Cube * No. of Cubes
= 2197 * 270
= 593190

Volume of Cube = 2197 in^3
Volume of Prism = 593190 in^3

Ahab jumped 2 times in 4 minutes. at that rate, how many times would he jump in 9 hours?

Answers

Answer: 270

Step-by-step explanation: 20 mins = 10 jumps now 20x3 is 60 which is an hour so in an hour he would have jumped 30 times and if you times 30 with 9 you would get 270 hence your answer

Triangle LMN was dilated to create L’M’N. The coordinates of the pre-image and the image are shown in the table belowL(0,4) M(0.8) N(5.10) L’(0,10) M’(0,20) N’(12.5,25) find the scale favor that used in the dilation record your answer on the gird

Answers

Answer:

L'M'N' is scaled by 2.5

Step-by-step explanation:

10 / 4 = 2.5

20 / 8 = 2.5

SOMEBODY HELP ME PLSSS

Answers

Answer:

5.88*10^12

Step-by-step explanation:

You have to move the decimal place over 12 times and to the left, so it's positive.

A scientist studying earth's rotation determines that a specific location on earth's equator travels about 40,000 kilometers in one day. What is the approximate speed of the location, in miles per hour, due to earth's rotation

Answers

Answer:

Step-by-step explanation:

Discussion

The first thing you have to do is convert km to miles

Formula

1 mile = 1.6 km

x mile = 40000 km              Cross Multiply

Solution

1.6*x = 1 * 40000                  Divide by 1.6

x = 40000/1.6

x = 25000 miles

             

Answer Part 1

The distance covered is 25000 miles

Discussion Part 2

That's the distance covered in a day. Now we need to convert that to speed. The time (in hours) for 1 day is 24 hours.

Givens

d = 25000 miles

t = 24 hours

s = ?

Solution

s = d/t

s = 25000 / 24

s = 1041.66 miles per hour

Answer: 1041.66 is what is to be entered as your answer

SOMEONE PLEASE HELP
Describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is y=a^3sqrt x-h+k

Answers

Using translation concepts, it is found that the variable h shifts the function horizontally while the variable k shifts the function vertically.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The cube root function is given by:

[tex]y = \sqrt[3]{x}[/tex]

The translated function is given by:

[tex]y = \sqrt[3]{x - h} + k[/tex].

The variables work as follows:

Variable h is in the domain, hence it changes the function horizontally.Variable k is in the range, hence it changes the function vertically.

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

(x - 2)2 + (y +13)2 = 150

Center:
Radius:

Answers

Answer:

Center: (2, -13)

Radius: 5√6

Explanation:

Equation: (x - 2)² + (y +13)² = 150

Circle Formula:

(x - h)² + (y - k)² = r²

where (h, k) is the center points, r is radius

Rewrite the equation:

(x - (2) )² + (y - (-13))² = (√150)²

Identify following's:

h = 2, k = -13, radius = √150 = 5√6

salaries of 38 college graduates who took a statistics course in college have a mean, x, of $69,800. assuming a standard deviation, o, of $16,094, constructs a 95% confidence interval for estimating the population mean u.

Answers

Answer:2,652,400

Step-by-step explanation:

A rectangular prism has a length of 4 in., a width of 2 in., and a height of 2 1/2 in.

The prism is filled with cubes that have edge lengths of 1/2 in.

How many cubes are needed to fill the rectangular prism?



Enter your answer in the box.

Answers

Answer:

  160

Step-by-step explanation:

Each cube is 1/2 inch, so there will be 2 cubes in each 1 inch of length. The dimensions of the prism in terms of the number of cubes are ...

  length: 4 in ⇒ 4×2 = 8 cubes

  width: 2 in ⇒ 2×2 = 4 cubes

  height: 2 1/2 in ⇒ (2 1/2)×2 = 5 cubes

Then the number of cubes required to fill the prism is ...

  8 × 4 × 5 = 160 . . . . cubes

The volume of the prism is equivalent to that of 160 1/2-inch cubes.

If f(x)= 5x-1 and g(x)=3x+2, find f(g(x)).
Pls help me!!

Answers

Answer:

15x+9

Step-by-step explanation:

f(g(x))

=f(3x+2)

=5(3x+2)-1

=15x+9

How do I do step by step

Answers

Answer:

1.1

Step-by-step explanation:

Write out a long division problem! Since you can't have a decimal in the divisor, multiply both numbers by 10. This will leave you with 39.6÷36. Now all you have to do is follow the steps and end up with an answer of 1.1

4) Find the area of a
rectangular poster (in cm²)
that is 95 cm by 45 cm.
PLS HELPPPP

Answers

Answer:

I think it is 4275cm square.

Answer:

Area= 4275cm

Step-by-step explanation:

The area formula for a rectangle is length x width so if we plug in the numbers and multiply we get 4275 as our product.

A pack of red pens can be divided into equal shares among 3, 5, 6 and 9 teachers with no pen left over?

Answers

Answer:

90 red pens

Step-by-step explanation:

we need to find the least common multiple of the numbers 3 , 5 , 6 , 9

6 = 2 × 3

9 = 3²

then

LCM(3,5,6,9) = 2×5×3² = 2×5×9 = 90

The number 90 can be divided into 3 ,5 ,6 ,9 with no remainder

Therefore the pack must have 90 pens or a multiple of 90

For example 180 , 270 ...

Factorise
x2 + 11x + 30
What is the answer

Answers

Answer:

it's 13x+30

Step-by-step explanation:


The width of the desk is 7 in. The perimeter of the desk is 63 in. What is
the length of the desk?

Answers

Perimeter of a Rectangle

The formula to find the perimeter of a rectangle is as follows:

[tex]P=2l+2w[/tex]

[tex]l[/tex] = length[tex]w[/tex] = width

Solving the Question

We're given:

[tex]w[/tex] = 7 inches[tex]P[/tex] = 63 inchesWe are solving for [tex]l[/tex]

⇒ Plug the given information into the perimeter formula and solve for l:

[tex]P=2l+2w\\63=2l+2(7)\\63=2l+14\\49=2l\\l=24.5[/tex]

Answer

Therefore, the length of the desk is 24.5 inches.

Which of the following terms appear in the expansion of (x + y) 10? The letter a
in each term represents a real constant
A. axbys
B. ays
c. axy
D. axs

Answers

I think it’s c I think not sure

A manufacturer sells mirrors in the shapes of squares. The smallest size mirror the manufacturer sells has an area of 4 ft ^2. The largest size mirror has an area of 9 ft^2.

which graph represents the possible side lengths of the mirror sold by the manufacturer.

Answers

The domain of the graph of the that represents the side length of the mirror is 2 ≤ x ≤3

How to determine the graph?

The given parameters are:

Shape = SquareSmallest area = 4ft²Largest area = 9ft²

The area (y) of a square of side length x is:

y = x²

Make x the subject

x = √y

When y = 9, we have:

x = √9 = 3

When y = 4, we have:

x = √4 = 2

This means that the domain of the graph of the that represents the side length of the mirror is 2 ≤ x ≤3

See attachment for the graph

Read more about graphs at:

https://brainly.com/question/4025726

#SPJ1


“for each expression find value that could be added as a constant term to make each expression a perfect square” these are two separate questions please help

Answers

Step-by-step explanation:

here you go hopefully it helps

I need help ASAP please

Answers

Than answer is C. Because 72+59=131 so 180-131=49 and the other angles a,d,and c have to add up to be 360 that’s why C. is the answer

HELP PLEASE HELP PLEASE

Answers

Answer:

  D 1/4

Step-by-step explanation:

Your question is a problem in reading comprehension. It tells you its own answer.

  x is always 1/4

What is the answer to this question: 100 + 100?

Answers

100+ 100= 200
thats your answer

Answer:

200

Step-by-step explanate

100+100 = 200

used a calculator

Line contains points a,b, and c from left to right. ac =60 bc 2times ab

Answers

Answer:

AB=20, BC=40

Step-by-step explanation:

Let AB be x

Therefore, ATQ:

x+2x=60

x=60/3=20

AB=20

And BC =2(AB)

So BC=2*20=40

Write the coordinates of the vertices
after a reflection over the line y = -4.

Answers

Answer:

--------------------------- HeyA --------------------------

Explanation :

- GiveN :

C( 8 , -4 ) , D( 9 , -4 ) , E( 9 , 1 ) & F( 8 , 1 ) are the vertices of the given rectangle.

Reflection in the line y = k :

P( x , y ) ----------------------P'( x , 2k - y )

C( 8 , -4 ) ----------------------C'( 8 , -4 )

D ( 9 , -4 ) ----------------------D' ( 9 , -4 )

E ( 9 , 1 ) ----------------------- E' ( 9 , -9 )

F ( 8 , 1 ) ----------------------- F' ( 8 , -9 )

C' ( 8 , -4 ) , D'( 9 , -4 ) , E' ( 9 , -9 ) & F'( 8 , -9 ) are the coordinates of the vertices after a reflection over the line y = -4 .

-----------------HappY LearninG <3 -----------------

Can someone help me with this and pls explain how u did it if you’re able to I don’t need an explanation but it would be appreciated I’ll give brainliest if it’s correct

Answers

[tex]\huge{\green}\fcolorbox{blue}{cyan}{\bf{\underline{\red{\color{red}Answer}}}}[/tex]

To find :-

The value of x

Given :-

Here 2 angles are given

142°, and (3x + 22)°

Solution :-

We can see here the 2 lines intersect each other.

And the angle is formed

Since the angles are just opposite to each other so they are equal.

142° = (3x + 22)° {vertically opposite angles}

[tex]142 - 22 = 3x \\ 120 = 3x \\ \frac{120}{3} = x \\ 40 = x[/tex]

Result :-

The value of x is 40°.

please help me asap!!
8. Compare the function g(x) modeled by the graph and the functionf (x) =
21x + 2) + 3.
True or false. Explain.
a) f(x) has a greater y intercept
b) g(1) > f(-1)
c) f(x) increases at a faster rate than g(x)over interval [0, 3).

Answers

Answer:

a) false

b) true

c) true

Step-by-step explanation:

Part (a)

The y-intercept of a function is the point when x = 0

⇒ f(0) = 2|0 + 2| + 3

          = 2|2| + 3

          = 4 + 3

          = 7

From inspection of the graph, the y-intercept of g(x) is (0, 7)

Therefore, the y-intercepts of f(x) and g(x) are the same.

"f(x) has a greater y-intercept" → false

Part (b)

From inspection of the graph, g(1) = 6

⇒ f(-1) = 2|-1 + 2| + 3

          = 2|1| + 3

          = 2 + 3

          = 5

Therefore,  g(1) > f(-1) → true

Part (c)

The average rate of change of function f(x) over the interval a ≤ x ≤ b is given by:

[tex]\dfrac{f(b)-f(a)}{b-a}[/tex]

From inspection of the graph:

g(0) = 7

g(3) = 4

[tex]\textsf{average rate of change of g(x)} \implies \dfrac{4-7}{3-0}=-1[/tex]

f(0) = 7  (from part (a))

f(3) = 2|3 + 2| + 3

     = 2|5| + 3

     = 10 + 3

     = 13

[tex]\textsf{average rate of change of f(x)} \implies \dfrac{13-7}{3-0}=2[/tex]

Function g(x) decreases over [0, 3] at the rate of -1

Function f(x) increases over [0, 3] at the rate of 2

Therefore, "f(x) increases at a faster rate than g(x) over interval [0, 3]" is true

**Please see the attached graph for reference**

The interval [0, 3] is shaded in grey

f(x) is shown in red

The added 2 points are f(-1) and g(1)

Please help!! This is 30 points, I will mark brainiest if to the first person if two people answer.

Answers

The experimental (aka empirical) probability for your friend is 1/500 = 0.002 since she hit the bulls eye once out of 500 tries. This is a 0.2% chance.

To calculate the theoretical probability, we have to determine the area of each circle:

A = smaller circle area = pi*r^2 = pi*(0.25)^2 = 0.0625pi

B = larger circle area = pi*r^2 = pi*6^2 = 36pi

Divide A and B to get the theoretical probability

A/B = (0.0625pi)/(36pi) = 1/576 = 0.0017 approximately

This is fairly close to the 1/500 = 0.002 your friend got, which in my opinion means that her result is expected. She does seem a bit more skilled than expected since she managed to hit the bulls eye in 76 fewer tries (576-500 = 76). However, I would stick to the "result is expected" answer, since problems like this tend to have variability.

What is the range of the function y=√x+5?
O y≥-5
O y≥0
O yz√√5
O y≥5

Answers

It's not clear what is under the square root. Is it solely the x only?

In other words, is the equation this: [tex]y = \sqrt{x}+5[/tex] ?

If so, then the range is y≥5 because y = 5 is the smallest possible output. In other words, we can have y = 5 or y > 5. I recommend using a tool like Desmos to graph and verify.

-----

OR is the +5 also under the square root?

Is the equation this? [tex]y = \sqrt{x+5}[/tex]

If so, then the range would be y≥0

The smallest output possible of a square root function is 0. We cannot get negative outputs. This explains how y = 0 is the smallest output. So y = 0 or y > 0, or in short, y≥0

The solution is, the range of the function y=√x+5 is y∈(∞,∞) is Range, from the given options y≥0.

What is range ?

The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

here, we have,

we know that,

Range of a function is defined as those values of y, for which x is Defined.

The given function is

y=√x+5

Squaring both sides

we get,

y² = x+5

or, x = y²- 5

x is defined for ,all Real values of y.

For any real y,we get defined value of x.

That is , y ∈ R

→→y∈(-∞,∞)⇒Range

Hence, The solution is, the range of the function y=√x+5 is y∈(∞,∞) is Range, from the given options y≥0.

To learn more on range click:

brainly.com/question/2622299

#SPJ7

Other Questions
This histogram shows the number of shoppers in various age groups at a clothing store.How many shoppers are at least 30 years old?5 shoppers7 shoppers13 shoppers17 shoppers Using slope, tell whether each pair oflines is parallel, perpendicular, orneither: Use the numbers in the multiplicationequation 28 x 1/7= 4 to write a divisionequation involving division by a fraction. Kingston is evaluating a research source. His teacher instructed him to notice absolute or extreme language. Which of these statements would be an example of absolute or extreme language? There is a pair of parallel sides in the following shape.9. 5. 3 Please help with the 3 equations and tell me how to write it in a number line please! Will be marked brainliest if the answer makes sense! .....Can someone help me? what is the length of side x,y, and z __ is a mode of evolution in which species diversity occurs in a relatively short amounts of timea - adaptive radiationb - convergent evolutionc - divergent evolution How do social policies impact people's quality of life? PLEASE ANSWER ASAP VacacionesTwo friends are on vacation in the mountains. Describe their vacation using at least eight words from the list. Use the present progressive at least twice.(est leyendo o est pescando) - aeropuerto- cama- enojado/a- equipaje- excursin- habitacin- hacer fro- limpio/a- llover- nevar- pescar- segurola . ., . . . , - . , ,, . : , ( ). , . Adele ate 1/4 of a hamburger in 5/6 of a minute. How many minutes will it take her to finish the entire hamburger? A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose. This table shows the results. Which statement is true? Sharks Moose Total Students 90 10 100 CARNE Teachers 5 10 15 Total 95 20 115 A. "Moose" is equally popular with students and teachers. B. There is no difference between the preferences of students and teachers. C. "Moose" is more popular with students, but "shark" is more popular with teachers. ch D. "Shark" is more popular with students, but "moose" is more popular with teachers. which of the following was not a characteristic of the greek a- they were very wealthb- they owned the most fertile landc- they controlled the city wallsd- they controlled powerful political positions Can someone help me out on edge Ill give brainliest please what do you think might be different between fat molecules and carbohydrate and protein molecules? Read the excerpt below and answer the question. My first flash on the newsprint/face she could have been Obachan back then/just after the camps The virgule is used in the second and fifth lines of this excerpt to mean _____. without or if with Who was the first to group Plants and Animals solve using elimination 3x-y=17-x+y=-7