-48 plugging in everything and using PEMDAS it should be -48
Step-by-step explanation:
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Answer:
<em>P</em> = 2/3
Step-by-step explanation:
45 cards in all
15 blue
15 red
15 green
To figure out the probability of red and blue together, add red and blue.
15 + 15 = 30
Since the total is 45, this is how many 30 will be out of.
30 out of 45 = 30/45
Simplify 30/45 by dividing each side by 15
30 ÷ 15 = 2
45 ÷ 15 = 3
30/45 = 2/3
Using the <u>normal distribution and the central limit theorem</u>, it is found that the interval that contains 99.44% of the sample means for male students is (3.4, 3.6).
In a normal distribution with mean
and standard deviation
, the z-score of a measure X is given by:
- It 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, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation
.
In this problem:
- The mean is of
.
- The standard deviation is of
.
- Sample of 100, hence

The interval that contains 95.44% of the sample means for male students is <u>between Z = -2 and Z = 2</u>, as the subtraction of their p-values is 0.9544, hence:
Z = -2:

By the Central Limit Theorem




Z = 2:




The interval that contains 99.44% of the sample means for male students is (3.4, 3.6).
You can learn more about the <u>normal distribution and the central limit theorem</u> at brainly.com/question/24663213
Step-by-step explanation:
Converse: If the quadrilateral is a square, then the quadrilateral has four congruent sides and angles.