Answer:
a. 84 < n + (n + 2) + (n + 4) < 96
b. 26 < n < 30
Step-by-step explanation:
Let n = 1st number
n+2 2nd even number
n+4 = 3rd even number
The sum of these 3 numbers is
n+n+2+n+4
It must be between 84 and 96 (it does not include this 84 and 96)
84< n+n+2+n+4 < 96
Now we need to solve this
Combine like terms
84 < 3n +6< 96
Subtract 6 from all sides
84 -6 < 3n+6-6 < 96 -6
78 < 3n < 90
Divide all sides by 3
78/3 < 3n/3 < 90/3
26 < n< 30
Answer:
0.25
Step-by-step explanation:
1 divided by 4
25 lb > 384 oz because 25 pounds is 400 ounces.
Answer:
B) Independent; the 1st marble selection will not affect the 2nd marble selection.
Step-by-step explanation:
When finding the probability of events in mathematics, we have both independent and dependent events.
Independent events are events that occur when the results of selection of the first events does not affect the results or outcomes of the second events.
Dependent events are the opposite of Independent events. They are events that occur when the results or outcomes obtained from the second events is affected by the results or outcomes from the selection of the first events.
From the question, we can see that the first event is she picked one marble from the bag. The second event is she replaced the marble before picking another marble. By doing this, the total number of possible outcomes for the probabilities of both events remains the same and they are unaffected.
Therefore, we can say that the two events are Independent because the 1st marble selection will not affect the 2nd marble selection.
