Answer:
10
Step-by-step explanation:
First, factorize the number 3,240:
So,
Now consider the fraction
If k = 10, then
is a square number.
For all k < 10, the fraction tex]\dfrac{3,240}{k}[/tex] is not a square number (this follows from factorization).
Or you can simply check the values of the fraction for all k < 10:
- k = 1,
is not a square number; - k = 2,
is not a square number; - k = 3,
is not a square number; - k = 4,
is not a square number; - k = 5,
is not a square number; - k = 6,
is not a square number; - k = 7,
is not a square number; - k = 8,
is not a square number; - k = 9,
is not a square number.
The slope of a line going through points (5,7) and (3,1) is 6/2 so 3/1 = slope of 3
Answer:
Input of x when it is equal to (1,2,3,4,5) gave an output of 3, 9, 27,81 & 243 respectively.
Step-by-step explanation:
Step 1. Substitute for x (1,2,3,4,5) in the functions to solve for the output of y.
y=3^x
when x= 1
y=3¹ = 3
when x= 2
y=3² = 9
when x= 3
y=3³ = 27
when x= 4
y=3⁴ = 81
when x= 5
y=3 ^ 5 = 243.
Input of x when it is equal to (1,2,3,4,5) gave an output of 3, 9, 27,81 & 243 respectively.
This can be solved by using the normal approximation to the binomial distribution.
mean = np = 10.000 * 0.5 = 5,000
The standard deviation is given by:
The probability of obtaining more than 5100 tails is 0.0228 and the probability of obtaining fewer than 5100 tails is 0.9772.
The odds of obtaining more than 5100 tails is therefore:
0.0228:0.9772 = 1:42.86.
