Answer:
i) 3/4
ii) 1/3
iii) 1/3
iv) 5/6 cents
Step-by-step explanation:
Any ratio can be written as a fraction.
For example 3:4 can be writen as 3/4 or 14:42 as 14/42.
After you convert them to fractions you then simplify them by finding their highest common factor (HCF) and then divide both numerator and denominator by the HCF. When you cant simplify the fraction anymore, that is the fraction in its lowest terms.
If y is directly proportional to x then y:x.
When y = 30, x = 6 then 30/6 = 5:1. Therefor for every 1x there is 5y vice versa. When x = 12, then y = 5 * 12 = 60.
Therefore y = 60 hence 60:12
Given:
The three equations for the three numbers are



To find:
The Pythagorean triple generated by using 4 for x and 1 for y.
Solution:
Substituting x=4 and and y=1 in the given equations, we get



In the same way find b and c.


The third number is



The required Pythagorean triple is 8, 15, and 17.
Therefore, the correct option is C.
Answer:
P = 9
Step-by-step explanation:
When P = 9, we could multiply 9 to (2n+ 3).
We would get:
18n + 27
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Have a great summer :)
Answer:
a) 0.122
b) 3.35 × 10⁻⁴
c) 0.1071
Step-by-step explanation:
Here we have the Poisson process given by

Where:
λ = Rate = 4 bites/hour and
t = Length of time that is
Mean = λt
Where k = 6 fishes bites and t = 2 hours we have

b) The probability that he fails to catch any fishes during the first two hours is the probability t that he catches 0 fish as follows

(c) Here we have

For 1 fish caught in two times we have first time no fish and second time he caches a fish gives
0.122×(1-0.122) = 0.1071