If you had
ax^2+bx+c
a is the leading term
when a>0, the parabola opens up and therfor has a minimum point and no max since it goes up infinitely
when a<0, the parabola opens down and therefor has a maximum point and not min since it goes down infinitely
-x^2+8x+9
-1<0
opens down
has max
vertex=max
F(h)= 20 +25h
next plug in the hours but first you need to take the minutes and transfer them to hours
120 minutes = 2 hours
so you plug in 20 + 25(2)
that equals 70
therefor your answers are
f(h)= 20 +25h
and
$70
5 hundreds is 500. So 500x10= 5000.
Answer:5000
Area of an equilateral triangle is
, where s is length of a side; we have s = 2 + 4 + 2 = 8 mm; then area is
;
Area of a semi-circle = (1/2)π
, where r is the radius of circle; r = 4/2 = 2 mm; then area is 2π;
The shaded area is
![16 \sqrt{3} - 2π = 2( [tex]8 \sqrt{3}](https://tex.z-dn.net/?f=16%20%5Csqrt%7B3%7D%20-%202%CF%80%20%3D%202%28%20%5Btex%5D8%20%5Csqrt%7B3%7D%20)
- π );
Answer:
a) P [ x ≤ 7000] is 0.55
b) P [ x > 5000 ] = 0.95
c) P [ 5000 < x ≤ 7000 ] = 0,5
Step-by-step explanation:
a) P [ x > 7000 ] = 0.45 straightforward P [ x ≤ 7000] is 0.55
The whole spectrum of probabilities is 1 which in this particular case is divided in two parts having 7000 as a limit, then we subtact 1 - 0.45
b) P [ x ≤ 5000] = 0.05 again we get P [ x > 5000] taking 1-0.05 to get
P [ x > 5000 ] = 0.95
c) P [ 5000 < x ≤ 7000 ]
Under Normal curve distribution the probability of x ≤ 7000 includes values smallers ( to the left of 5000) so we subtract from 0.55 - 0.05 = 0.50
c) P [ 5000 < x ≤ 7000 ] = 0,5
