Answer:
0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
In this question:
We only have the mean during an interval, and this is why we use the Poisson distribution.
The mean number of births per minute in a given country in a recent year was about 6.
This means that 
Find the probability that the number of births in any given minute is exactly five.
This is P(X = 5). So
0.1606 = 16.06% probability that the number of births in any given minute is exactly five.
Lemonade made= 2(l)/3=2/3 of a litre
qty in each cup=1(l)/6=1/6 of a litre
no of cup=2l/3÷1(l)/6
⇒2l/3×6/1(l)
⇒4
The value of x in the right triangle is 4 units.
<h3>How to find the side of a right triangle?</h3>
The side x of the right triangle can be found using trigonometric ratios.
Therefore,
sin 30° = opposite / hypotenuse
sin 30 = x / 8
1 / 2 = x /8
cross multiply
8 = 2x
divide both sides by 2
8 / 2 = 2x / 2
x = 4
learn more on right triangle here: brainly.com/question/10060696
#SPJ1
Answer:
(-3/4)(7/8)—> -21/32
(5/16)(-2)(-4)(-4/5)—> -2
(2 3/5)(7/9)—>91/45
(2/3)(-4)(9)—-> -24
Step-by-step explanation:
Vertex aka max or min point is found by -b/2a in form
f(x)=ax^2+bx+c
f(x)=-1x^2+8x+20
vertex x value is -8/(2)(-1)=-8/-2=4
input back to find y value
f(4)=-(4^2)+8*4+20
f(4)=-16+32+20
f(4)=36
max (since the graph opens down) is (4,36)
axis of symmetry is the x coordinate
max is (4,36)
axis of symmetrry is x=4
