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3 years ago

Express 35 1/3 in simplest radical form.

Mathematics

1 answer:

Georgia [21]3 years ago

5 0

3√35-simplest radical form

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You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if

oksian1 [2.3K]

Answer: The mean and variance of Y is $0.25 and $6.19 respectively.

Step-by-step explanation:

Given : You and a friend play a game where you each toss a balanced coin.

sample space for tossing two coins : {TT, HT, TH, HH}

Let Y denotes the winnings on a single play of the game.

You win $1; if the faces are both heads

then P(Y=1)=P(TT)= $\dfrac{1}{4}=0.25$

You win $6; if the faces are both heads

then P(Y=6)=P(HH)= $\dfrac{1}{4}=0.25$

You loose $3; if the faces do not match.

then P(Y=1)=P(TH, HT)= $\dfrac{2}{4}=0.50$

The expected value to win : E(Y)= $\sum_{i=1}^{i=3} y_ip(y_1)$

$=1\times0.25+6\times0.25+(-3)\times0.50=0.25$

Hence, the mean of Y : E(Y)= $0.25

$E(Y^2)=\sum_{i=1}^{i=3} y_i^2p(y_i)\\\\=1^2\times0.25+6^1\times0.25+(-3)^2\times0.5\\\\=0.25+1.5+4.5=6.25$

Variance = $E[Y^2]-E(Y)^2$

$=6.25-(0.25)^2=6.25-0.0625=6.1875\approx6.19$

Hence, variance of Y = $ 6.19

6 0

4 years ago

Enter a fraction that is equivalent to 4/7 with a denominator of 21

zysi [14]

Answer:

An equivalent fraction is 12/21

7 0

4 years ago

Zahra runs a 500-meter race at a constant speed. Which graph shows her distance from the finish line during the race?

makkiz [27]

Answer: The answer is the third figure. Attached the image.

Step-by-step explanation: Given that Zahra runs a 500-meter race at a constant speed. We are to select the correct graph from the four options that will show her distance from the finish line during the race.

We can see in graph 2, the distance covered by Zahra in metres increases at the same rate as the time increases in minutes.

But, since we are considering from the finish line, so option (#) will be right, because Zahra starts at 500 metres, decreases in the same manner as the increase of time and goes down to 0 on the positive X-axis.

Also,

Thus, the attached graph, which is the third option is the correct graph.

6 0

3 years ago

Read 2 more answers

What is the y-intercept of the graph of the equation y=4(3^x)?

eimsori [14]

Answer:

The y-intercept is (0, 4).

Step-by-step explanation:

At the y-intercept x = 0 so

y = 4(3^0)

y = 4*1 = 4.

So the y-intercept is (0, 4).

8 0

3 years ago

Read 2 more answers

What is the value of t

olchik [2.2K]

Answer:

t = 89°

Step-by-step explanation:

total interior angle of triangle is 180°

angle 1 is (t-46), angle 2 is (t), angle 3 is (180-(t+43))

summing them:

(t-46)+(t)+(180-(t+43)) = 180°

t -46 + t + 180 -t -43 = 180°

t + 91° = 180°

t = 180° - 91°

t = 89°

6 0

2 years ago