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Slav-nsk [51]
2 years ago
5

Mason plays a game by flipping two fair coins. He wins the game if both coins land facing heads up. If Mason plays 200 times, ho

w many times should he expect to win? Enter your answer in the box. times
Mathematics
2 answers:
zepelin [54]2 years ago
8 0

Answer:

He is expected to win 25% of the time

50 times

Step-by-step explanation:

If we use fair coins

The probability for one coin landing face up is 0.5

(50% of the time)

Since we need both coins landing face up, we multiply the probabilities

(0.5)*(0.5) = 0.25

(25 % of the time)

This means that

0.25 * 200 times = 50 times

Nat2105 [25]2 years ago
7 0

Answer:

He is expected to win 50 times.

Step-by-step explanation:

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Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. 27% of the possible Z values are grea
inessss [21]

Answer:

27% of the possible Z values are greater than 0.613

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 0, \sigma = 1

27% of the possible Z values are greater than

The 100 - 27 = 73rd percentile, which is X when Z has a pvalue of 0.73. So X when the z-score is 0.613.

Z = \frac{X - \mu}{\sigma}

0.613 = \frac{X - 0}{1}

X = 0.613

27% of the possible Z values are greater than 0.613

6 0
2 years ago
An arc on a circle measures 250°. Within which range is the radian measure of the central angle? 0 to StartFraction pi Over 2 En
Alex Ar [27]

Answer:

The central angle is within the range π to 3π/2

Step-by-step explanation:

To convert from degrees to radians, we multiply the angle in degrees by 180/π.

To convert from radians to degree, we multiply the angle in radians by 180°/π.

π/2 = π/2 X 180°/π= 90°

π rad = π X 180°/π= 180°

3π/2 = 3π/2 X 180°/π= 270°

2π = 2π X 180°/π= 360°

Therefore the angle 250 which is between 180 and 270 is within the range :

π to 3π/2

4 0
3 years ago
Read 2 more answers
If 40 percent of a movie ticket costs $5.00 what is 20 percent of the cost of two tickets
Nikolay [14]
<u>Find cost of a ticket:</u>

40% = $5.00

1% =  $5 ÷ 40 = 0.125

100% = 0.125 x 100 = $12.50

The cost of a ticket is $12.50


<u>Find 20% of two tickets:</u>

Two tickets cost $12.50 x 2 = $25

20% of $25 = 0.25 x $25 = $5

Answer: 20% of two tickets cost $5
8 0
2 years ago
-4 + -7 (-2) =? Minus equations always give me trouble :/
USPshnik [31]
<span>-4 + -7 (-2)
= -4 + 14 (a negative multiplies a negative equal positive)
= 10</span>
8 0
2 years ago
Read 2 more answers
Caroline, Colin &amp; Sarah share some money.
aev [14]

Answer:

Colin gets  \frac{2}{3}

Step-by-step explanation:

One part is excluded in the problem. That part is:

"Caroline gets \frac{1}{9} of the money."

<u>Solution:</u>

If Caroline gets 1/9th, then remaining is:

1-\frac{1}{9}=\frac{8}{9}

Colin and Sarah share in ratio 3 is to 1, that means 3 + 1 = 4 parts...

8/9th in 4 parts means, each part is:

\frac{\frac{8}{9}}{4}=\frac{2}{9}

We know Colin gets "3" parts of the total, each part is (2/9)th, so 3 parts would be:

3*\frac{2}{9}=\frac{6}{9}=\frac{2}{3}

Colin gets  \frac{2}{3}

7 0
2 years ago
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