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Vaselesa [24]
4 years ago
9

A pheasant farmer started her farm with 120 pheasants. An analysis of her records should that her pheasant population had increa

sed by 15% each year. The farmer wants to determine a model of pheasant population growth using an exponential function. According to her model, what will the pheasant population be in 10 years?
Mathematics
1 answer:
Rudik [331]4 years ago
3 0

Answer:

Step-by-step explanation:

We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the population after t years.

t represents the number of years.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 120

r = 15% = 15/100 = 0.15

Therefore, the model of pheasant population growth is

y = 120(1 + 0.15)^t

y = 120(1.15)^t

When t = 10 years,

y = 120(1.15)^10

y = 485

The population would be 485 pheasants

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Find the length of a square with an area of 169 in2.
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Find the length of a side of a square with an area of 169 in^2.

Answer:

D. 13 in

Step-by-step explanation:

A square has sides of equal length.

A = L^2 where:  A = area  and  L = side

L^2 = 169

L=√169

L=13 in^2.    

6 0
3 years ago
How do you determine the area of a circle? Could you give an example please?
pickupchik [31]
To determine the area if the circle, you must know the diameter or the radius of a circle.

If you know the radius of a circle, use this as your formula. Remember: Pi (the greek symbol thingy) is equal to 3.1415. (A is equal to area of the circle and r represents the radius)
a = \pi {r}^{2}
If you know the diameter, just divide the diameter to get the radius then use the same equation.

7 0
3 years ago
Read 2 more answers
In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume t
Angelina_Jolie [31]

Answer:

P(X = 0) = 0.027

P(X = 1) = 0.189

P(X = 2) = 0.441

P(X = 3)= 0.343

Step-by-step explanation:

The probability mass function P(X = x) is the probability that X happens x times.

When n trials happen, for each x \leq n, the probability mass function is given by:

P(X = x) = pe_{n,x}.p^{x}.(1-p)^{n-x}

In which p is the probability that the event happens.

pe_{n,x}, is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

pe_{n,x} = \frac{n!}{x!}

The sum of all P(X=x) must be 1.

In this problem

We have 3 trials, so n = 3

The probability that a wafer pass a test is 0.7, so p = 0.7

Determine the probability mass function of the number of wafers from a lot that pass the test.

P(X = 0) = (0.7)^{0}.(0.3)^{3} = 0.027

P(X = 1) = pe_{3,1}.(0.7).(0.3)^{2} = 0.189

P(X = 2) = pe_{3,2}.(0.7)^{2}.(0.3) = 0.441

P(X = 3) = (0.7)^{3} = 0.343

5 0
4 years ago
A set of equations is given below: Equation E: m = 4n + 1 Equation F: m = 6n + 8 Which statement describes a step that can be us
Lelu [443]
8-6=2 n=0 your very welcome!
6 0
3 years ago
Brainliest to first answer correct.
suter [353]

Answer:

Option A is correct.

Step-by-step explanation:

The height of the rectangular pack is h1 = 4r

The height of the parallelogram = 2r + the height of equilateral triangles with a side of 2r

The height of equilateral triangle with a side of 2r = (side)/2*√3

=(2r)/2 *√3 = r√3

The height of the parallelogram h2 = 2r+r√3 = r(2+√3)

So,the ratio of h1 to h2 is :

4r : r(2 +√3)

Cancelling r we get

Hence, the ratio is  4 : 2 +√3

5 0
3 years ago
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