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2 years ago

Question 1

Mathematics

1 answer:

enyata [817]2 years ago

8 0

Answer:

x = 1/8

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

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Lucy offers to play the following game with Charlie: "Let us show dimes to each other, each choosing either heads or tails. If w

Darya [45]

Answer:

(a)Charlie is right

(b)$0

Step-by-step explanation:

(a)A game is said to be a fair game when the probability of winning is equal to the probability of losing. Mathematically, a game is said to be fair when the expected value is zero.

In the game, the possible outcomes are: HH, HT, TH and TT.

Charlie wins when the outcome is HH, TT

P(Charlie Wins)=2/4
P(Charlie Losses)=2/4

Lucy wins when the outcome is HT or TH

P(Lucy Wins)=2/4
P(Lucy Losses)=2/4

Therefore, the game is fair. Charlie is right.

(b)

If the outcome is HH, Lucy pays $3.

If the outcome is HT or TH, Lucy gets $2.

If the outcome is TT, Lucy pays $1.

The probability distribution of Lucy's profit is given below:

$\left|\begin{array}{c|c|c|c}$Profit(x)&-\$3&-\$1&\$2\\P(x)&1/4&1/4&2/4\end{array}\right|$

Expected Profit

$=(-3 \times \frac14)+(-1\times \frac14)+(2 \times \frac24)\\=$0$

Lucy's expected profit from the game is $0.

7 0

3 years ago

What is 2x+3y=30 & x+y=14<br> In elimination

puteri [66]

Answer:

x= 12 and y= 2

Step-by-step explanation:

First you would line up the equations so the x's and y's are on top of each other. Then you would multiply x+y=14 by 3 to give you 3x+3y=42. After that you subtract 2x-3y=30 and 3x+3y=42 to give you an answer of x=12. After that, you plug in x with 12 in the equation x+y=14. You subtract 12 from both sides to get an answer of 2. So ur solution is (12,2)

4 0

3 years ago

2. A sphere has surface area 16π. Find the radius of the sphere.

KiRa [710]

Answer:

The answer to your question is: 2.29 units

Step-by-step explanation:

Data

Volume = 16π

radius = ?

Formula

V = $\frac{4}{3}π r^{3}$

Process

16 π = $\frac{4}{3}π r^{3}$

$\frac{16(3)}{4} = r^{3}$

r³ = 12

r = 2.29

7 0

3 years ago

1. What is a perfect square? 2. What is the square root of 4x²? 3. What is the square root of 25? 4. Factor 4x² + 20x + 25.

Ulleksa [173]

Answer:

Step-by-step explanation:

1) A perfect square is a whole number which is a product of a smaller whole number and itself. Examples of perfect squares are

4(2 × 2)

9(3 × 3)

16(4 × 4)

25(5 × 5)

36(6 × 6)

2) Square root of 4x² is 2x(product of square root of 4 and square root of x²)

3) square of 25 is 5

4) 4x² + 20x + 25

The general formula for solving quadratic equations is expressed as

x = [- b ± √(b² - 4ac)]/2a

From the equation given,

a = 4

b = 20

c = 25

Therefore,

x = [- 20 ± √(20² - 4 × 4 × 25)]/2 × 4

x = [- 20 ± √(400 - 400)]/8

x = [- 20 ± 0]/8

x = - 20/8

x = - 2.5

3 0

3 years ago

Please answer quickly. thanks in advance.

SOVA2 [1]

Answer:

KM=60°

Step-by-step explanation:

The average of arc LN and arc KM is equal to 110.

$\frac{160+KM}{2} =110$

160+KM=220

KM=60

8 0

3 years ago