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netineya [11]
2 years ago
10

You have a standard deck of cards the deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and spades. Each su

it consists of cards numbered 2-10 a jack a queen a king and an ace you select one
Mathematics
1 answer:
Pie2 years ago
3 0

Answer:

A. The experimental probability of choosing  a heart is 1/26 greater than the theoretical probability of choosing a heart.

Step-by-step explanation:

I got this question right on Edge.

:)))

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g The average midterm score of students in a certain course is 70 points. From the past experience it is known that the midterm
spayn [35]

Answer:

0.98 = 98% probability that the average midterm score of these students is at most 75 points.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The average midterm score of students in a certain course is 70 points.

This means that \mu = 70

29 students are randomly selected and the standard deviation of their scores is found to be 13.15 points.

This means that \sigma = 13.15, n = 29, s = \frac{13.15}{\sqrt{29}} = 2.44

Find the probability that the average midterm score of these students is at most 75 points.

This is the pvalue of Z when X = 75. So

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

By the Central Limit Theorem

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

Z = \frac{75 - 70}{2.44}

Z = 2.05

Z = 2.05 has a pvalue of 0.98.

0.98 = 98% probability that the average midterm score of these students is at most 75 points.

8 0
3 years ago
Alice earns 1.5 times her normal hourly rate for each hour she works after 40 hours .she worked 50 hours this week and earned 66
Tcecarenko [31]
660 divided by 2 and it gives you your answer of 13.2
So therefore the answer is 13.2 per hour
8 0
3 years ago
NEED HELP ON THIS QUESTION PLEASE
Ilia_Sergeevich [38]

Answer:

Sample space= 1, 2, 3, 4, 5, 6

Outcomes= 2, 4, 6

Probability= Number of outcomes/ total number of outcomes

= 3/6 times 2( as 2 dices are rolled)

=6/12

=1/2

Therefore, the probability of getting 2 even number is 1/2

6 0
2 years ago
The minimum temperature for a particular day was 4 Fahrenheit below 0 the maximum was 16 Fahrenheit higher what was the maximum
Talja [164]
16 degrees would be the maximum because it was the hottest temperature recorded.
5 0
3 years ago
How do you grow your own equations
natita [175]
You can formulate your own equations by analyzing the given problem and its statements. You can do some illustrations so you can understand it better. Introduce some variables and the rest is algebra. For example:

An orange costs $2 while a banana costs $1.5. How many oranges and bananas do you have to buy such that the total cost would equal to $20. You bought a total of 12 fruits.

First, you have to introduce variables. Let 'x' be the number of oranges and 'y' be the number of bananas. One equation you can get from here is knowing the amount of total cost: 2x + 1.5y = 20. Then, the other equation would be knowing the amount of fruits: x+y=12. You have two unknowns and two equations. Hence, you can solve the problem. Solving them simultaneously, you would get that x=4 and y=8.
4 0
3 years ago
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