Answer:
y = 5x - 17
Step-by-step explanation:
y = mx + c
m = the gradient/slope = 5
y = 5x + c
Substitute (3, -2) into the equation above to find c.
-2 = 5(3) + c
-2 = 15 + c
-2 - 15 = c
-17 = c
y = 5x - 17
Answer: 0.71221
Step-by-step explanation:
We know that for binomial distribution :-
, where p is the proportion of success in each trial and n is the sample size.
Given : p=0.80 ; n=20
Then, 
Let X be the binomial variable.
z-score : 
For x=9
For x=17
Then, the probability that more than 9 but less than 17 of the hotels in the sample is given by :-
Hence, the probability that more than 9 but less than 17 of the hotels in the sample = 0.71221
Answer:
(x-5)(x+1)
Step-by-step explanation:
Since the highest power of x is 2, u can assume the equation to be (x +/- A) (x +/- B), whereby A and B are unknowns.
Since the coefficient of X^2 is 1, and the number in the equation is - 5, the only possible values for A and B to get - 5 is either - 5 and 1 or 1 and - 5.
Since coefficient of x is - 4 and number in equation is - 5, imagine inserting those numbers in the equation and cross multiplying back. You would realise that the answer should be as listed above.
Answer:
<em>x² - 28x√x + 294x - 1372√x + 2404 </em>
Step-by-step explanation:
f(x) = 
+ 3
g(x) = x - 7
h(x) = √x
f(g(h(x))) - ?
g(h(x)) = √x - 7
f(g(h(x))) = 
+ 3 = ( √x - 7 )² × ( √x - 7 )² + 3 =
= (x - 14√x + 49)(x - 14√x + 49) + 3 =
= x² - 14x√x + 49x - 14x√x + 196x - 686√x + 49x - 686√x + 2401 + 3 =
= <em>x² - 28x√x + 294x - 1372√x + 2404</em>
Answer:
(3,0)
Step-by-step explanation:
