Juanita has a bag of marbles. Without looking, she removes one marble, notes the color and replaces it. She repeats this process
1 answer:
Given table:
color ----- Frequency
Red ------ 14
Green ----- 19
Blue -------- 21
Yellow ----- 16
Number of process repeated (trials) = 70 times
Probability (event) = number of times the event occurs / total number of trials
From the table we can see that the number of times she pick the blue marble is 21
Probability of picking a blue marble on next try = =
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Answer:
-2n²
Step-by-step explanation:
Using the image attached:
We see that the second differences (blue ones) are all equal so we conclude that this is a quadratic sequence.
The quadratic sequence has the form:
To find the value of a we just divide second difference ( -4 ) by 2:
Now we have:
Substitute and
into the equation above:
Since = -2 and
= -8 , after simplification we have:
The solution of this system is:
- b=0, c =0
The general term is :
Average speed =
Ishan's Speed uphill = 10mph
Time taken = 18 minutes = 18/60 = 3/10 hours
Now distance = rate × time
Distance traveled by Ishaan up hill = 10 × 3/10 = 3 miles
Now returning back home
Distance = 3 miles
Rate = 30 mph
So time taken = distance/ rate = 3/30= 1/10 hours = 1/10 ×60 = 6 minutes.
Now total distance traveled = 3 + 3 = 6 miles
Total time taken = 18 + 6 = 24 minutes = 24/60 = 2/5 hours
Average speed
=
= 15 mph
Ishaan's average speed for the entire trip from home to the gift store and back is 15mph