Which events are independent?

Select each correct answer.



One coin is drawn from a bag of coins after another coin is drawn without replacement.
Two white balls are drawn from a bag of balls without replacing the balls.
Two spinners are spun at the same time.
A six-sided number cube is rolled and a coin is flipped.

9514 1404 393

Answer:

  {0, 1, 2, 3}

Step-by-step explanation:

The domain is the set of function input values. Here, they are labeled x values. The set of the is {0, 1, 2, 3}.

The domain is {0, 1, 2, 3}.

9514 1404 393

Answer:

  see below for a graph

Step-by-step explanation:

Your equation has "y alone". It is written in "slope-intercept form."

  y = mx + b . . . . . . . where m is the slope and b is the y-intercept.

Comparing your given equation ...

  y = 1/2x + 18

to the above form you see that m = 1/2 (the slope) and b = 18 (the y-intercept).

The y-intercept is where the graph crosses the y-axis, so the first point you can plot on the graph is at (0, 18) on the y-axis.

The slope of 1/2 tells you the ratio of "rise" to "run" is 1/2. That is, the "run" (change in x) is 2 units for each "rise" (change in y) of 1 units

  m = rise/run = 1/2

So, another point (or several) can be found by moving twice as many units to the right as you move up. For example, if you choose 10 units right, to x=10, the point will be 10/2 = 5 units up from y=18, at y = 23. That is (10, 23) is another point on the graph.

Now, you have points (0, 18) and (10, 23) on the line. The graph will be a straight line through those points.

Answer:

The constant of variation is 2

Step-by-step explanation:

The equation of the direct variation is y = k x, where k is the constant of variation

Let us solve the question

∵ x and y are in the direct variation

→ Use the form of the equation above

∴ The equation of variation is y = k x

∵ x = 3

∵ y = 6

→ Substitute them in the equation above

∴ 6 = k (3)

∴ 6 = 3k

→ To find k divide both sides by 3

∵ [tex]\frac{6}{3}[/tex] = [tex]\frac{3k}{3}[/tex]

∴ 2 = k

∵ k is the constant of variation

∴ The constant of variation is 2

Answer:

Step-by-step explanation:

The answer is 10 because 7 + 3 equals 10!

This can be proven by adding 7 + 3 or by subtracting in a certain way.

7 + 3 = ?

7 + 1 = 8

7 + 2 = 9

7 + 3 = 10

You can show more work by subtracting your answer or 10 in this case, which means that you subtract 7 by 10 or 3 by 10, either way is ok.

If you subtract 7 by 10, ( 10 - 7 ) then you get 3

If you subtract 3 by 10, ( 10 - 3 ) then you get 7

If the number you subtracted matches the number that you didn't subtract, then your answer is correct.

Hope this helps! <3

Answer:

0.4695

Step-by-step explanation:

sin 28° = 0.4695

I don't understand your choices.

Answer:

0.78125 pounds

Step-by-step explanation:

the weight of 8 brick is 6.25 pound

divide the weight by 8 to take the weight for the one brick

Answer:

[H^+] = Antilog[-6]

Step-by-step explanation:

Even though the question is incomplete, let us try to correctly derive the equation used to find the hydrogen ion concentration.

pH=−log[logH^+]

-pH = log[H^+]

[H^+] = Antilog[-pH]

Since pH =6

The equation is;

[H^+] = Antilog[-6]

Answer:

logH=−6

Step-by-step explanation:

Substituting the given value into the formula: 6=−logH; −6=logH; 10−6=H; H=0.000001. The equation logH=−6 is a step in the process of finding the H value.

Answer:

249x + 1y = 250

Step-by-step explanation:

Answer:

5x + 2y = 250 pencils

Step-by-step explanation:

5 represents the amount in each small box.

2 represents the amount in each large box.

Therefore once you multiply by 5 and x, then multiply by 2 and y you should get the total amount of pencils for the pencils in small boxes and the amount for large sepretally. Then you'd add both of the digits to get the total pencils in all

Answer:

14. -g + 10, 15. 12k + 3

Step-by-step explanation:

I'm assuming you want to simplify the equation. For 14, we distribute -2. This gets us -2g + 10 + g. We can simplify that to -g + 10. We can't simplify that, so our answer is complete. For 15, we combine 8k and 4k to get 12k + 3. That can't be simplified, so we are done.

Answer:

3 / 10 is the answer in fraction and 0.3 is the answer in decimal.

Step-by-step explanation:

hope this answer will help you

have a great time

Answer:

The slope is 3

Step-by-step explanation:

Y = mx + b

In this formula, mx means the slope so there is no math needed to be worked out.

Answer:

3

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept.

Answer:

103.125

Step-by-step explanation:

110.00 times 15% = 16.5

16.5 times 6.25% = 103.125

Answer - 103.125

Answer:

With the coupon and sales tax, the bicycle costs $100.38.

Step-by-step explanation:

First, we need to find 6.25% of $110.

110 x 0.0625 = 6.88

Now, let's add this to the total, or $110.

110 + 6.88 = $116.88

After that, we need to find 15% of this total.

116.88 x 0.15 = 17.53

Now, we need to subtract this from the total, which is now $116.88.

116.88 - 16.5 = $100.38

Now, with the coupon and sales tax, the bicycle costs $100.38.

Hope this helps! :D

Answer:

there is no problem

Step-by-step explanation:

( x, y ) = ( -3, 1 )

hope it helps!

Answer:

32.35599681

Step-by-step explanation:

Answer:

The polynomials are:

[tex]\frac{2}{3}[/tex] x² + x + 1 ⇒ C

x³ + 2x +√2 ⇒ E

Step-by-step explanation:

A polynomial: is an expression consisting of variables and coefficients, with the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables

Let us solve the question

∵ The polynomial never division by a variable

∵ Answer A and B have a division in variable ⇒ ( [tex]\frac{1}{x^{2}+1 }[/tex] , [tex]\frac{2}{x^{3}}[/tex] )

∴ Answers A and B are not polynomials

∵ The polynomial has integer exponents of variables

∵ Answer D has a fraction exponent of x ⇒ [tex]x^{\frac{2}{3}}[/tex]

∴ Answer D is not a polynomial

∵  [tex]\frac{2}{3}[/tex] x² + x + 1 has a non-negative integer exponent of x

∵ There is no division by x

∴  [tex]\frac{2}{3}[/tex] x² + x + 1 is a polynomial

∵ x³ + 2x +√2 has a non-negative integer exponent of x

∵ There is no division by x

∴ x³ + 2x +√2 is a polynomial

∴ The polynomials are [tex]\frac{2}{3}[/tex] x² + x + 1 and x³ + 2x +√2

Answer:

Step-by-step explanation:

Answer:

y > 2x - 1

y ≤ 0.5x + 4

Step-by-step explanation:

solid line: (0,4) (-8,0)

m: (0-4)/(-8-0) = -4/-8 = 0.5

b: 4

y = mx + b       y = 0.5x + 4

dotted line: (0,-1) (-2,-5)

m = (-5 - -1)/(-2-0) = 2

b = -1

equation: y = 2x - 1

System: y ≤ 0.5x + 4

             y > 2x - 1

Answer:

i cant see it wdym

Step-by-step explanation:

Sell price = purchase price x Mark up

Sell price = 140 x 220%

Sell price = 140 x 2.2 = 308

Sell price = $308

Answer

d

Step-by-step explanation:

I already know and i did the test

Answer:

value of 0.2 in fraction is 1/5

Answer: D

Step-by-step explanation: just took the test

Answer:

D

Step-by-step explanation:

Answer:

(9(3)+1)/3÷(2(4)+3)/4

28/3÷11/4

28/3×4/11

112/33

3.393

Answer:

Step-by-step explanation:

SOH CAH TOA

Cos(Ф) =Adj / Hyp

26*Cos(45) = Adj

26*[tex]\frac{\sqrt{2} }{2}[/tex] = Adj

13[tex]\sqrt{2}[/tex] = Adj... and also it's the same for the other leg  

sin and cos  of 45° are the same

Answer:

13/ 2 squared which is b

Step-by-step explanation:

times 13 by 2 you get 26

Answer:

bottom left

Step-by-step explanation:

...............

Answer:

B

Step-by-step explanation:

Answer:  $80,735

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

Work Shown:

33% = 33/100 = 0.33

33% of 120,500 = 0.33*(120,500) = 39,765

Michael pays $39,765 in taxes

This makes his net pay to be 120,500-39,765 = 80,735 dollars.

------------

A shortcut is to compute

0.67*(120,500) = 80,735

The 0.67 refers to the fact that if he pays 33% of his gross income, then he keeps the remaining 100% - 33% = 67% of it.

Three angles of the triangle:

[tex]3x \\ 5x \\ x[/tex]

___________________________________________

3x + 5x + x = 180

9x = 180

x = 180/9

x = 20