Answer:
0.183
Step-by-step explanation:
This is a question on Binomial Probability
Formula =nCx × p^x × q^n - x
p = 0.72
q = 1 - p
= 1 - 0.72
= 0.28
x = number of successes = 9
n = 10
The probability that at least nine out of ten people used an online travel website when they booked their airline ticket
At least 9 out of 10 means
x ≥ 9 = x = 9 and x = 10
Hence,
P(x ≥ 9) = 10C9 × (0.72^9 × 0.28^10 - 9) + 10C10 × ( 0.72^10 × 0.28^10 - 10)
P(x ≥ 9) = 0.14559635388 + 0.0374390623
= 0.18303541631
≈ 0.183
Answer:
The teacher is 1.416667 times taller than the student
Step-by-step explanation:
(5 2/3)/4
=1.416667
Answer:
![x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%2Fx%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E2%7D)
Step-by-step explanation:
Given

Required
Rewrite in simplest radical form
Using laws of indices:

This implies that

Solve Exponents


Simplify exponent to lowest fraction

Using laws of indices:
![a^{\frac{m}{n}} = \sqrt[n]{a^m}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bm%7D%7Bn%7D%7D%20%3D%20%5Csqrt%5Bn%5D%7Ba%5Em%7D)
This implies that
![x^{\frac{5}{6}}/x^{\frac{1}{6}} = \sqrt[3]{x^2}](https://tex.z-dn.net/?f=x%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%2Fx%5E%7B%5Cfrac%7B1%7D%7B6%7D%7D%20%3D%20%5Csqrt%5B3%5D%7Bx%5E2%7D)
This is as far as the expression can be simplified
Answer:
5th term of sequence = -18
nth term of the sequence = -5n + 7
Step-by-step explanation:
Difference between successive and previous term of the output,
= -3 - 2
= -5
Similarly, 
= -5
There is a common difference 'd' = (-5)
Therefore, the sequence formed will be an arithmetic sequence.
First term of the sequence 'a' = 2
Explicit formula of an arithmetic sequence,
= a + (n - 1)d [n = input value]
= 2 + (n - 1)(-5)
= 2 - 5n + 5
= -5n + 7
5th term of this sequence,

= 2 - 20
= -18
Therefore, 5th term of sequence = -18
nth term of the sequence = -5n + 7