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alukav5142 [94]
3 years ago
12

What can you conclude about the distance from zero for both and integer and its opposite

Mathematics
1 answer:
ruslelena [56]3 years ago
4 0
It is the absolute value
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For a fair coin, suppose you toss the coin 100 times.
Natasha_Volkova [10]

Using the normal distribution, it is found that there is a 0.0005 = 0.05% probability of getting more than 66 heads.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

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

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with \mu = np, \sigma = \sqrt{np(1-p)}.

For the binomial distribution, the parameters are given as follows:

n = 100, p = 0.5.

Hence the mean and the standard deviation of the approximation are given as follows:

  • \mu = np = 100(0.5) = 50.
  • \sigma = \sqrt{np(1-p)} = \sqrt{100(0.5)(0.5)} = 5

Using continuity correction, the probability of getting more than 66 heads is P(X > 66 + 0.5) = P(X > 66.5), which is <u>one subtracted by the p-value of Z when X = 66.5</u>.

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

Z = \frac{66.5 - 50}{5}

Z = 3.3

Z = 3.3 has a p-value of 0.9995.

1 - 0.9995 = 0.0005.

0.0005 = 0.05%

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

6 0
1 year ago
Suav's math teacher plots student grades on their weekly quizzes against the
zhuklara [117]
They expect a good test grade A+
4 0
2 years ago
The product of eight minus a number and seven equals forty when decreased by five. Which equation represents the sentence?
weeeeeb [17]
The "product" of two numbers means you multiply them.

So, you are multiplying (8-n), where n = "a number," by 7.

Then, when you decrease (subtract) this product by 5, you get 40.

So the whole thing looks like

7(8-n) - 5 = 40.
8 0
3 years ago
Determine the unit rate. Use mental math when you can. 6 golf balls for $15
Lena [83]

Answer:

1 golf ball : $2.50

Step-by-step explanation:

  1. You can first divide 6 and 15 by 3, and get 2 and 5.
  2. Then, you divide 5 by 2, which is 2.5
  3. Therefore, the unit rate is 1 golf ball : $2.50
4 0
2 years ago
14 sandwiches and 3 drinks cost €33.75. 6 sandwiches and 17 drinks cost €26.25 . How much cost 1 sandwich and 1 drink
Soloha48 [4]
Easy!! 1 sandwich and 1 drink costs 3.47
8 0
2 years ago
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