What is the common difference for this arithmetic sequence?
45, 39, 33, 27, 21, .
O A. 45
OB. 6
OC. 39
OD. -6

Answer: The expected number of spades that you will draw is 0.751 spades

Step-by-step explanation:

The expected value can be calculated as:

∑xₙ*pₙ

Where xₙ is the n-th event, and pₙ is the probability of that event.

First, let's count the possible events and calculate the probability for each one.

x₀ = drawing 0 spades.

Out of 52 cards, we have only 13 spades, then 52 - 13 = 39 are not spades.

Then the probability of not drawing a spade in the first draw is:

p1 = 39/52

In the second draw we will have a card less than before in the deck (so we have 38 cards that are not spades, and 51 cards in total), then the probability of not drawing a spade is:

p2 = 38/51

And with the same reasoning, in the third draw the probability is:

p3 = 37/50

The joint probability for this event will be:

p₀ = p1*p2*p3 = (39/52)*(38/51)*(37/50) = 0.413

Second event:

x₁ = drawing one spade.

Let's suppose that in the first draw we get the spade, the probability will be:

p1 = 13/52

In the second draw, we get no spade, then the probability is:

p2 = 39/51

in the third draw we also get no spade, the probability is:

p3 = 38/50

And we also have the case where the spade is drawn in the second draw, and in the third draw, then we have 3 permutations, this means that the probability of drawing only one spade is:

p₁ = 3*p1*p2*p3 = 3*(13/52)(39/51)*(38/50) = 0.436

third event:

x₂ = drawing two spades:

Let's assume that in the first draw we do not get a spade, then the probabilities are:

p1 = 39/52

p2 = 13/51

p3 = 12/50

And same as before, we will have 3 permutations, because we could not draw a spade in the second draw, or in the third, then the probability for this case is:

p₂ = 3*p1*p2*p3 = 3*( 39/52)*(13/51)*(12/50) = 0.138

And the last event:

x₃ = drawing 3 spades.

The probabilities will be:

p1 = 13/52

p2 = 12/51

p3 = 11/50

And there are no permutations here, so the joint probability is:

p₃ = p1*p2*p3 = (13/52)*(12/51)*(11/50) = 0.013

Now we can calculate the expected value:

EV = 0*0.413 + 1*0.436 + 2*0.138 + 3*0.013 = 0.751

The expected number of spades that you will draw is 0.751 spades

Answer:

if -2 refers to the y-intercept "f(-2)=g(-2)" would be correct

Answer: 80 miles

Step-by-step explanation:

320miles/8hours= 40mph

40mph=xmiles/2hrs

40*2= 80 miles

Answer: ( sorry I misread the problem)

I'm not sure what I'm supposed to be multiplying with

but I'll try my best

subtract 2 with 18 and divide 4 with the remaining

18 -2 = 16

then it  is 16/4= 4

Pat has a total of 4pens

Answer:

5/2

Step-by-step explanation:

The 5^-3 and 5^6 cancel out to be 5^3. Then the 5^3 cancels out with the 5^2 in the denominator and leaves you with just a 5. The 2^2 makes the 2^3 in the denominator just 2. So, you are left with 5/2! Hope this helps.

Answer:

19

Step-by-step explanation:

228/12=19

Answer:

$[tex]$2.25[/tex]

Step-by-step explanation:

Let [tex]b =[/tex] the cost of one brownie, [tex]c =[/tex] cost of one cookie

[tex]3b + 5c = 11[/tex]

[tex]b+2c = 3.95[/tex]

Times [tex]3[/tex] on both sides on the second equation above to get the following:

[tex]3b + 6c = 11.85[/tex]

[tex]3b+6c - (3b+5c) = 11.85-11[/tex]

[tex]3b+6c-3b-5c = 0.85[/tex]

[tex]c = 0.85[/tex]

To find the value of [tex]b[/tex], use substitution:

[tex]b+2c = 3.95[/tex]

[tex]b = 3.95-2c[/tex]

[tex]= 3.95 - 2\times0.85[/tex]

[tex]= 2.25[/tex]

[tex]\therefore[/tex] the cost of a brownie is $[tex]$2.25[/tex]

Hope this helps :)

Answer:

x÷3+10 (if x=15)

15÷3+10

5+10

15

Answer:

D. 15/20

Step-by-step explanation: Because if it is 100 divide by 5 then it equals 20 and since 75% is 3/4 then 15/20 is your answer.

Answer:

D 15/20

Step-by-step explanation:

Answer: I think i my be wrong but i thing its B

Step-by-step explanation:

Answer:

W

Step-by-step explanation:

The table that will represent a function is the table where every x-value (domain) has exactly one y-value (range).

Table W represents a function because each x-value has exactly only one y-value.

The other tables have two y-values assigned to a one x-value.

Answer:

W

Step-by-step explanation:

Answer:

the solution set is -11 > 1 + a?

a > -10

a -12

a < -10

Answer:

A. 0.4 km

B. 48 fruits to 12 vegetables

C. 72 hours

60%

Step-by-step explanation:

1 km = 1000 m

You have 400 m

1000m/1km = 400m/1000m

400/1000

0.4km

4:1

Ok so an easy way to do this one is multiplication.

you need the number of fruits to be 4 times more than the number of vegetables.

A would be 2:1 because 16 is 2 times more than 8

B would be 4:1 because 48 is 4 times more than 12

C would be 8:1 because 24 is 8 times more than 3

D would be 3:1 because 60 is 3 times more than 20

B would be the correct answer

If they traveled 216 miles in 3 hours, to find average you have to divide miles by hours.

216/3

72 hours

The tigers won 12 of their last 20 games.

12/20

0.6

Percent is 100 times the decimal.

0.6*100

60%

Don't be afraid to reach out with any more questions! I hope this helps!

Answer:

there should be 5 cans of corn! hope This Helps

Step-by-step explanation:

Answer:

The answer is 5

Step-by-step explanation: You have to multiply the amount of people by the servings a person gets (15*3), you then divide that by the amount of ounces a can has (45/9) the result is 5.

tan²(8x) = sin²(8x) / cos²(8x)

… = (1 - cos²(8x)) / cos²(8x)

… = 1 / cos²(8x) - 1

… = 2 / (1 + cos(16x)) - 1

where the last equality follows from the half-angle identity for cosine,

cos²(x) = (1 + cos(2x)) / 2

Answer:

Y=3x

Step-by-step explanation:

Proportional relationships always have multiplication or division

Answer:

49

Step-by-step explanation:

In the middle of the figure , there's a square whose each side length is 7. So area of the square will be [tex] {7}^{2} = 49 \: {unit}^{2} [/tex]

Answer:

y=-4x+1

Step-by-step explanation:

Graph (1,-3)

Go down 4 over one/ up left one

Get y-intercept

Then BOOM you got it

Answer:

y = -4x + 1

Step-by-step explanation:

We are given that a line has a slope of -4 and a point (1, -3).

We want to write the equation of this line in slope-intercept form.

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept.

As we are already given the slope, we can immediately plug its value into the equation.

Substitute -4 as m in the equation.

y = -4x + b

Now we need to find b.

As the equation passes through the point (1, -3), we can use its values to help solve for b.

Substitute 1 as x and -3 as y.

-3 = -4(1) + b

Multiply.

-3 = -4 + b

Add 4 to both sides

1 = b

Substitute 1 as b in the equation.

y = -4x + 1

Topic: writing the equation of the line (slope-intercept form)

See more: https://brainly.com/question/22448557

Answer:

A) 6 Inches

Step-by-step explanation:

1/2=10 to find how many inches we need to get 120 miles, you have to find the conversion rate.

Conversion rate is 120 ÷ 10 which equals 12.

Now we multiply the conversion rate (12) times 1/2 to get an answer of 6 inches.

i'd appreciate a brainliest :)

Answer:

A = 432 ft^2

Step-by-step explanation:

[tex]A=\frac{a+b}{2} *h[/tex]

A = (32+16)/2 * 18

A = 48/2 * 18

A = 24*18

A = 432 ft^2

Proportional equations are of the form y = kx, for some fixed constant k. The k value is the constant of proportionality.

The +100 at the end is why we don't have a proportional equation.

Visually all proportional equations go through the origin, meaning the lines have y intercept of 0. For y = 230x+100, the y intercept is 100.

Answer:

hope this helps.

btw I used synthetic decision method

Answer:

D

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

45 ÷9=5

5² or 5×5=25

25×5=125

Hope this helps!

Answer:

I THINK ITS

Step-by-step explanation:

5x(2025 ÷81)

5x25

125

Answer:

The answer is 6. Hope this helped :D

Answer:

1233

Step-by-step explanation:

kieley

Answer:

80

Step-by-step explanation:

180-100+80.