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madreJ [45]
3 years ago
7

Is 1/4 a rational or irrational number

Mathematics
1 answer:
ycow [4]3 years ago
6 0
Hi there!

1/4 is a rational number.
Any number that can be written as a fraction is a rational number.

~ Hope this helps you ~
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Michael is a basketball player who regularly shoots sets of 2 free-throws. Suppose that each shot has probability 0.60. , point,
Sati [7]

Answer:

0.1306

Step-by-step explanation:

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of free throws

x = Number of successes required = 6

p = probability of success = 0.60

q = probability of failure = 1 - 0.60 = 0.40

P(X = 6) = ⁷C₆ (0.6)⁶ (0.4)⁷⁻⁶ = 0.1306368 = 0.1306

Hope this Helps!!!

4 0
3 years ago
Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
Select each equation which is equivalent to 60% of 25.
Maksim231197 [3]

The equation which is equivalent to 60% of 25 is x = 0.6 * 25

An equation is used to show the relationship between variables, numbers.

Let x represent the value of 60% of 25. Hence:

x = 60% of 25

x = 0.6 * 25

Hence the equation which is equivalent to 60% of 25 is x = 0.6 * 25

x/25 = 60/100

6/10 = x/25

6 0
2 years ago
Which of the following items has the lowest unit price
sukhopar [10]

5 for $3.50 has the lowest unit price because 3 for $2.19 is $0.73 per item, 4 for $3.00 has a in it price at $0.75, 5 for $3.50 has a unit rate for $0.70 per item, and $0.72 per item is more expensive than $0.70 per item

4 0
3 years ago
Read 2 more answers
Is y=3/4x a direct variation? if so, find the constant of variation
xxMikexx [17]
Yes because without a y-intercept it goes through 0. and can you explain the next part?
8 0
3 years ago
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