*10 POINTS * find the value of x x = ___??
2 answers:
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Answer:
The sum of all positive integers less than 100, which are not divisible by 3 is 3267.
Step-by-step explanation:
The all positive integers less than 100 has sum, given by
S₁ = 1 + 2 + 3 + 4 + ......... + 99
⇒ S₁ =
Now, the sum of all positive integers less than 100 which are divisible by 3 is
S₂ = 3 + 6 + 9 + 12 + 15 + ........ + 99
⇒ S₂ = 3(1 + 2 + 3 + ........ + 33)
⇒ S₂ =
Therefore, the sum of all positive integers less than 100, which are not divisible by 3 is = S₁ - S₂ = 4950 - 1683 = 3267. (Answer)
Note : The sum of n natural numbers S is given by
S = 1 + 2 + 3 + 4 + ....... + n = .
Answer:
a. Probability of landing on red =
b. <em>See Explanation</em>
Step-by-step explanation:
Given
A Spinner
Number of section = 10 (equal sized)
Number of red section = 2
Required
- Probability of landing on red
- Describe the probability in words
Calculating the probability of landing on red
The formula used in calculating probability is as follows
Probability = Number of required outcomes / Number of possible outcomes
In this case, the number of required outcomes is the number of red section.
Hence, number of required outcomes = 2
And the number of possible outcomes is the total section of the spinner
Hence, Number of possible outcomes = 10
By Substitution
Probability of landing on red =
Probability of landing on red =
Describe the probability in words
From (a) above, we have that the probability of the spinner landing on color red is
This means that, for every five times, you spin the spinner, it's likely that one of the outcomes will be red.