Answer:
1st one
Step-by-step explanation:
We have that
y=-3x²<span>+5x+11
we know that
the equation of the parabola in standard form can be expressed in one of the following two ways
y=ax</span>²+bx+c
<span>the parabola opens up if a is positive and opens down if a is negative
and
x=ay</span>²+by+c
the parabola opens right if a is positive and opens left if a is negative
<span>
in this problem
the equation is of the form
</span>y=ax²+bx+c<span>
a=-3
so
the parabola opens down
using a graph tool
see the attached figure
the vertex of a parabola is a maximum
the answer is</span>
the parabola opens down
First, we will find the common difference
The common difference is ;
19 - 11 = 8
or
11 - 3 = 8
common difference is 8
As the position increase by 1, the result increase by 8
so we will keep on adding 8 to the result
Position Result
4 19
5 27
6 35
7 43
8 51
Hence;
when the position is 8, the result is 51
Answer: <em><u>157 tickets </u></em>
Explanation:
The people not showing up for the flight can be treated as from Binomial distribution.
The binomial distribution B(n, p) is approximately close to the normal i.e. N(np, np(1 − p)) for large 'n' and for 'p' and neither too close to 0 nor 1 .
Now, Let us assume 'n' = n
and we are given
p=0.15
So now B(n,0.15n) follows Normal distribution
u=n
= 0.15n
We have to calculate P(X<144) with 99% accuracy
P(X<144) = P(Z<z)
where;
z=
z score for 99% is 2.33
i.e.

solving this we will get one root nearly equal to 157 and other root as 133
<u><em>Hence the answer is 157.</em></u>