We have that probability that a person in this population is a teenager and probability of selecting a participant who is at least 20 years old is

From the question we are told

A hypothetical population consists of eight individuals ages 13, 14, 17, 20, 21, 22, 24, & 30 years.

P(T)=0.38
P(T')=0.63

Generally the equation for the probability that a person in this population is a teenager is mathematically given as

$P(T)=\frac{no of teens}{n}\\\\P(T)=\frac{3}{8}$

P(T)=0.38

Generally the equation for the probability of selecting a participant who is at least 20 years old is mathematically given as

$P(T)=\frac{ participants\ who\ is\ at\ least\ 20\ years old}{n}\\\\P(T)=\frac{5}{8}$

P(T')=0.63

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6 0

2 years ago

There are 50 apple trees in an orchard. Each tree produces 800 apples. For each additional tree planted in the orchard, the outp

Mariana [72]

Answer:

15
42,250

Step-by-step explanation:

The given function is,

$P=40000+300x-10x^2$

where,

P = the total production of apples,

x = the number of trees added.

As the quadratic function has a negative leading coefficient, so it will open downward and at the vertex the value of function is maximum.

The vertex will be at $\left(-\dfrac{b}{2a},-f\left(\dfrac{b}{2a}\right )\right)$

The value of the function will be maximum at,

$x=-\dfrac{b}{2a}$

Putting the values,

$x=-\dfrac{300}{2\times (-10)}=\dfrac{300}{2\times 10}=\dfrac{300}{20}=15$

So at x=15 or for 15 number of trees the production will be ,maximum.

Putting x=15 in f(x) will yield the maximum production of apples.

$P=40000+300(15)-10(15)^2=42,250$

4 0

2 years ago

Solve for b. 3b < 9 23 Submit

Margarita [4]

Answer:

b>3

Step-by-step explanation:

4 0

2 years ago