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goldfiish [28.3K]

3 years ago

5

At a fair, each person can spin two wheels of chance. The first wheel has the numbers 1, 2, and 3. The second wheel has the lett

ers A, B, C and D. (a) List all the possible outcomes of the compound event. (2 points for listing all of the outcomes) (b) If you spin both wheels, what is the probability that you get either a 2 or a B? Explain. (1 point for probability/1 point for explanation)

1 answer:

miv72 [106K]3 years ago

5 0

Well, for wheel 1, divide 1/3 to get .3333333333333333
for wheel 2, divide 1/4 to get .25
hope this helps

You might be interested in

Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = x2/(x4 +

ella [17]

Answer:

Given the function: $f(x) =\frac{x^2}{x^4+16}$

A geometric series is of the form of :

$\sum_{n=0}^{\infty} ar^n$

Now, rewrite the given function in the form of $\frac{a}{1-r}$ so that we can express the representation as a geometric series.

$\frac{x^2}{x^4+16}$

Now, divide numerator and denominator by $x^4$ we get;

$\frac{\frac{1}{x^2}}{1+\frac{16}{x^4}}$ = $\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2}$

Therefore, we now depend on the geometric series which is;

$\frac{1}{1+x} =\sum_{n=0}^{\infty} (-1)^n x^n$

let $x \rightarrow x^2$ then,

$\frac{1}{1+x^2} =\sum_{n=0}^{\infty} (-1)^n x^{2n}$

to get the power series let $x \rightarrow \frac{4}{x^2}$

so,

$\frac{1}{1+(\frac{4}{x^2})^2} =\sum_{n=0}^{\infty} (-1)^n (\frac{4}{x^2})^{2n}$

Multiply both side by $\frac{1}{x^2}$ we get;

$\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2} =\frac{1}{x^2} \cdot \sum_{n=0}^{\infty} (-1)^n (\frac{4}{x^2})^{2n}$

or

$\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2} =x^{-2} \cdot \sum_{n=0}^{\infty} (-1)^n (16)^n (x^{-2})^{2n}$

or

$\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2} =\sum_{n=0}^{\infty} (-1)^n (16)^n x^{-4n} \cdot x^{-2}$

Using $x^n \cdot x^m = x^{n+m}$

we have,

$\frac{\frac{1}{x^2}}{1+(\frac{4}{x^2})^2} =\sum_{n=0}^{\infty} (-1)^n (16)^n x^{-4n-2}$

therefore, the power series representation centered at x =0 for the given function is: $\sum_{n=0}^{\infty} (-1)^n (16)^n x^{-4n-2}$

6 0

3 years ago

Clare estimates that her brother is 4 feet tall. When they get measured at the doctor’s office, her brother’s height is 4 feet,

ankoles [38]

Answer:

1: The doctor's measurement.

Step-by-step explanation:

The doctor's measurement is correct because the doctor measured Claire's brother and Claire only estimated, therefore there is no evidence that Claire is correct but there's Is evidence that the doctor is correct.

5 0

3 years ago

B ^ 2 - 4b - 14 = 0

Blizzard [7]

Simplifying
b2 + -4b + -14 = 0

Reorder the terms:
-14 + -4b + b2 = 0

Solving
-14 + -4b + b2 = 0

Solving for variable 'b'.

Begin completing the square.

Move the constant term to the right:

Add '14' to each side of the equation.
-14 + -4b + 14 + b2 = 0 + 14

Reorder the terms:
-14 + 14 + -4b + b2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -4b + b2 = 0 + 14
-4b + b2 = 0 + 14

Combine like terms: 0 + 14 = 14
-4b + b2 = 14

The b term is -4b. Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4b + 4 + b2 = 14 + 4

Reorder the terms:
4 + -4b + b2 = 14 + 4

Combine like terms: 14 + 4 = 18
4 + -4b + b2 = 18

Factor a perfect square on the left side:
(b + -2)(b + -2) = 18

Calculate the square root of the right side: 4.242640687

Break this problem into two subproblems by setting
(b + -2) equal to 4.242640687 and -4.242640687. b + -2 = 4.242640687

Simplifying
b + -2 = 4.242640687

Reorder the terms:
-2 + b = 4.242640687

Solving
-2 + b = 4.242640687

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + b = 4.242640687 + 2

Combine like terms: -2 + 2 = 0
0 + b = 4.242640687 + 2
b = 4.242640687 + 2

Combine like terms: 4.242640687 + 2 = 6.242640687
b = 6.242640687
Simplifying
B = 6.242640687

Subproblem 2
b + -2 = -4.242640687

Simplifying
b + -2 = -4.242640687

Reorder the terms:
-2 + b = -4.242640687

Solving
-2 + b = -4.242640687

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + b = -4.242640687 + 2

Combine like terms: -2 + 2 = 0
0 + b = -4.242640687 + 2
b = -4.242640687 + 2

Combine like terms: -4.242640687 + 2 = -2.242640687
b = -2.242640687

Simplifying
b = -2.242640687

3 0

3 years ago

Read 2 more answers

Help me on this please

dusya [7]

Answer:

1. $2 / 5$ - Fractional form, $0.4$ - Decimal Form

2. $5 / 8$ - Fractional form, $0.625$ - Decimal Form

3. $6 / 7$ - Fractional form, $0.8571$ - Decimal Form

4. $\sqrt{a / b}$

5. $\sqrt{a * b}$

Step-by-step explanation:

1. $\sqrt{4 / 25}$

Steps:

1. Divide - $4 / 25$

2. Then take the square root of what you got - $\sqrt{0.16}$ = $0.4$

2. $\sqrt{25 / 64}$

Steps:

1. Divide - $25 / 64$

2. Then take the square root of what you got - $5 / 8$

3. $\sqrt{36 / 49}$

Steps:

1. Take the square root of the top number - 6

2. Tage the square root of the bottom number - 7

3. Answer is 6/7.

4. $\sqrt{a} / \sqrt{b}$ = $\sqrt{a / b}$

5. $\sqrt{a} * \sqrt{b}$ = $\sqrt{a * b}$

<em><u>Formula:</u></em>

$\sqrt{a} / \sqrt{b}$ = $\sqrt{a / b}$

$\sqrt{a} * \sqrt{b}$ = $\sqrt{a * b}$

5 0

3 years ago

your long distance telephone provider offers two plans, Plan A has a monthly fee of $15 and $0.25 per minute. Plan B has a month

Nitella [24]

Plan A:

15+(0.25x)

15+(0.25×80)

15+(20)

35

Plan B:

20+(0.05x)

20+(0.05×300)

20+(15)

35

I am sure there are other numbers that you can use but I just choose the number 35! Good luck!

6 0

3 years ago