A coin is flipped three times. James is declared the winner if there are at least two tails. Peter is declared the winner if there is a head flipped.a. How many different outcomes are there?
b. What is the probability that James wins?
c. What is the probability that Peter wins?
d. Is the game fair?
e. Are there any outcomes where the game would be tied?
f. Are there any outcomes where no one would win?

Answers

Answer 1
Answer:  A______is your answer

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On two investments totaling $6,000, Kevin lost 3% on one and earned 6% on the other. If his net annual receipts were $288, how much was each investment?

Answers

ANSWER:

$ 800 was invested in the account at 3%

$5200 was invested in the account at 6%

STEP-BY-STEP EXPLANATION:

We can establish the following system of equations thanks to the help of the statement:

Let x represent the amount invested in the investment that lost value

Let y represent the amount invested in the investment that gained

value.

\begin{gathered} x+y=6000\rightarrow y=6000-x\text{ (1)} \n -0.03x+0.06y=288\text{ (2)} \end{gathered}

We replace equation (1) in (2) and solve for x:

\begin{gathered} -0.03x+0.06\cdot(6000-x)=288 \n -0.03x+360-0.06x=288 \n -0.09x=288-360 \n x=(-72)/(-0.09) \n x=800 \n \text{ Now, for y replacing in (1)} \n y=6000-800=5200 \end{gathered}

Therefore, $ 800 was invested in the account the lost value, and $ 5200 was invested in the account that gained value.

Miguel has a jar full of dimes and quarters. There are a total of 115 coins with a total value of$17.05. The system of equations that represents this situation is as follows: d + q =115 and
10d + 25 = 1705 How many MORE dimes than quarters are in Miguel's jar?​

Answers

Answer:

53

Step-by-step explanation:

Dimes 168

What is 0.035 as a simplified reduced fraction

Answers

Answer:

7/200

Step-by-step explanation:

0.035= 35/1000= 7*5/200*5=7/200

7/200 is the correct answer

Use a table to multiply (–5a)(2a – 1). A) –15a B) 5a2 + 10a C) –10a2 – 5a D) –10a2 + 5a

Answers

Answer:

-10a² + 5a

Step-by-step explanation:

Given the expression (–5a)(2a – 1)

Open the bracket

(–5a)(2a – 1)

= -5a(2a) -5a(-1)

= -10a² + 5a

hence the equivalent expression is -10a² + 5a

upike 5 1/2 miles from your house to a skatepark you travel one half of that distance in the woods Buck along the bank of a stream for the last half of the woods on how many miles of your trip do you bike along the bank of the stream ​

Answers

Answer:

1

Step-by-step explanation:

hi how u doin

Step-by-step explanation:

HEEEEEEEEEEELLLLLLLPPPPP PLEASE ); Kingston deposited $90 in a savings account earning 6% interest, compounded annually. To the nearest cent, how much will he have in 2 years?

Answers

Answer: 101.12

Step-by-step explanation: This answer is rounded to the nearest cent. The other is not, and will count it wrong.