Nicole left home and traveled toward the recycling plant. Two hours later Kristin left traveling at 50 km/h in an effort to catc
1 answer:
Answer:
Nicole's average speed is .
Step-by-step explanation:
Given,
Speed of Kristen =
Time taken by Kristen to cover the distance =
Solution,
We can find out the distance traveled by Kristen by multiplying speed with time.
The distance traveled by Kristen is equal to distance traveled by Nicole.
As the question said Kristen left 2 hours later and cover the distance in 3 hours.
That means Nicole take 5 hours to cover the distance.
So, For Nicole;
Distance = 150 km
Time = 5 hrs
Here we use the formula of speed.
Now substituting the values, we get;
Hence Nicole's average speed is .
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Answer: 0.02257
Step-by-step explanation:
Given : Total cards in a deck = 52
Number of ways to select any 5 cards :
Since , there are total 13 kinds of card (includes Numbers from 2 to 9 and Ace , king, queen and jack).
Of each kind , there are 4 cards.
Number of ways to select three cards in a five card hand of a single kind :
Number of ways to select three cards in a five card hand of a exactly three of a kind :
Now , the required probability =
∴ The probability of being dealt exactly three of a kind (like three kings or three 7’s, etc.) in a five card hand from a deck of 52 cards= 0.02257
Answer:
The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ is 4,888
Step-by-step explanation:
The given series is;
12, 16, 20, ...,
Therefore, the first term of the series is, a = 12
The common difference of series is found as follows;
The difference between subsequent terms, 12 and 16 is 16 - 12 = 4
The difference between subsequent terms, 16, and 20 is 20 - 16 = 4
Therefore, the common difference, d = 4
The series is therefore an arithmetic projection, AP
The sum of the first 'n' terms of an AP, Sₙ, is given as follows;
(47/2)*(2*12+(47-1)*4)
The sum of the first 47 terms is therefore given as follows;
The sum of the first 47 terms of the series, 12, 16, 20, ... S₄₈ = 4,888