MATHEMATICS HIGH SCHOOL

A dairy farmer accidentally allowed some of his cows to graze in a pasture containing weeds that would contaminate the flavor of the milk from this herd. The farmer estimates that there's a a 9 9% chance of a cow grazing on some of the flavorful weeds. (a) Under these conditions, what is the probability that none of the 16 16 animals in this herd ate the tasty weeds? (b) Does the Poisson model give a good estimate of the probability that no animal ate the weed?

Answers

Answer 1

Answer:

Answer:

the required probability of is 0.1886

the approximate probability is 0.2052

Step-by-step explanation:

The farmer estimates that there's a a 9 9% chance of a cow grazing on some of the flavorful weeds

i.e P = 9.9% = 0.099

Let assume that X is a description of how the cows are grazing on some of the flavorful weeds.

The probability density function of the binomial distribution is :

$\mathbf{P(X=x)=(^n_x)_(p^x)(1-p)^(n-x)}$

To calculate that the probability that none of the 16 animals in this herd ate the tasty weeds.

$\mathbf{P(X=0)=(^(16) _0){(0.099)^0}(1-0.099)^(16-0)}$

= $\mathbf{1*1*0.1886}$

= 0.1886

Thus; the required probability of is 0.1886

b) To calculate the probability that no animal ate the weed.

By using Poisson approximation model:

$\mathbf{P(X=0) = (e^(-(np))(np)^x)/(x!) }$

$\mathbf{P(X=0) = (e^(-(16*0.099))(16*0.099)^0)/(0!) }$

$\mathbf{P(X=0) =e^(-1.584)}$

$\mathbf{P(X=0) =1.5254*10^(-7)}$

= $\mathbf{0.2052}$

Hence; the approximate probability is 0.2052

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What are the answers to all these questions?

Answers

For example exc. 4!

V = x(6 - 2x)(10 - 2x) = (6x - 2x^2)(10 -2x) = 60x - 12x^2 - 20x^2 + 4x^3 = 4x^3 - 32x^2 + 60x;

How long is 63 months in years?

Answers

The time-duration "63-months" in years can be expressed as 5.25 years.

To determine the length of 63 months in years, we divide 63 by the number of months in a year, which is 12.

Dividing 63 by 12 yields a quotient of 5 with a remainder of 3.

This means that 63 months is equivalent to 5 years and 3 months.

To express it completely in years, we consider the fraction of the year represented by the remaining 3 months.

Since there are 12 months in a year, 3 months is equivalent to 3/12 which 1/4 of a year = 0.25 year.

Therefore, 63 months is approximately 5.25 years.

Learn more Duration here

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Five years and three months.

The equation shows the relationship between x and y:y = 9x − 2

What is the slope of the equation?

−9
−2
7
9

Answers

The slope of the equation is 9.

The correct option is D.

What is a slope?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

Given:

The equation shows the relationship between x and y:

y = 9x − 2.

The slope-intercept form of the equation:

y = mx + b,

where m is the slope and b is the y-intercept.

Comparing the slope-intercept form with the given linear equation,

we get,

m = 9 and b = -2

Therefore, slope m = 9.

To learn more about the slope;

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9

Explanation:
For a general equation of a line, y= mx +c
m represents the slope.
In this case 9 is the slope of the line

What can you conclude ?? Need answer soon

Answers

It is B
You can conclude that M and L are parallel.
I hope this helped

Solve for x.
x/9 =14

(A) 126
(B) 130
(C)139
(D)146

Answers

Answer:

(A) 126

Step-by-step explanation:

x/9 =14

Multiply each side by 9

x/9*9 =14*9

x =126

What is the MAD of the data set?

{5, 12, 1, 6, 11}

Answers

So we want to find the MAD of the data set {5,12,1,6,11}. To do that first we need to find the mean value X. X=(5+12+1+6+11)/5=35/5=7. Now we have to find the distance d from the mean value for every number in the data set: d1=7-5=2, d2=12-7=5, d3=7-1=6, d4=7-6=1, d5=11-7=4. Now we can find the MAD: MAD=(2+5+6+1+4)/5=18/5=3.6

Answer:

3.6

Step-by-step explanation:

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