Answer:
1. 1 13/24
2. 5/12
Step-by-step explanation:
2/3 = 16/24
7/8 = 21/24
Add.
16/24 + 21/24 = 37/24
As a mixed number, this is 1 13/24.
3/4 = 9/12
1/3 = 4/12
Subtract.
9/12 - 4/12 = 5/12
Hope this helps!
Answer:
2 1/8 inches
Step-by-step explanation:
First, we make the fractions into improper fractions:
5 5/8 = 45/8
3 1/2 = 7/2
Now we make them to have the same denominator
7/2 = 28/8
Now we substract
45/8 - 28/8 = 17/8
17/8 = 2 1/8 inches
Using the Empirical Rule, it is found that 229 batteries have lifetimes between 3.0 hours and 3.4 hours.
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By the Empirical Rule, in a normal variable: 68% of the measures are within 1 standard deviation of the mean, 95% are within 2 and 99.7% are within 3.
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- Mean of 3.2 hours with a standard deviation of 0.2 hours.
3 = 3.2 - 2(0.1)
3.4 = 3.2 + 2(0.1)
- Thus, between 3 and 3.4 hours is <u>within 2 standard deviations of the mean</u>, which is 95%.
- Out of 241 batteries:

229 batteries have lifetimes between 3.0 hours and 3.4 hours.
A similar problem is given at brainly.com/question/24552083
Since M and N are independent events, 
Step-by-step explanation:
Two events A and B are said to be independent when the probability of A happening does not depend on whether B has happened or not.
In other word, this condition can be rewrite as follows:

where
is the probability of A happening given that B has happened
is the probability of A happening
In this problem, we have:
- M and N are independent events: so M does not depend on whether N occurs or not
Therefore,

- Also, we know that

Therefore, it follows that

Learn more about probability:
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brainly.com/question/6649771
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