Answer:
To make estimates, we usually round the numbers the nearest integer.
Since 1.9 is closest to 2 than it is to 1, the nearest integer of 1.9 is 2.
Similarly, since 4.4 is closest to 4 than it is to 5, the nearest integer of 4.4 is 4.
Now, to estimate the area of the farm, we are going to multiply our two integers:
Estimated Area of the Farm= x
Since 8 is between 4 and 10, we can conclude that the best estimate of the area of the farm is: between 4 and 10
Step-by-step explanation:
Answer:
P(Y=1|X=3)=0.125
Step-by-step explanation:
Given :
p(1,1)=0
p(2,1)=0.1
p(3,1)=0.05
p(1,2)=0.05
p(2,2)=0.3
p(3,2)=0.1
p(1,3)=0.05
p(2,3)=0.1
p(3,3)=0.25
Now we are supposed to find the conditional mass function of Y given X=3 : P(Y=1|X=3)
P(X=3) = P(X=3,Y=1)+P(X=3,Y=2) +P(X=3,Y=3)
P(X=3)=p(3,1) +p(3,2) +p(3,3)
P(X=3)=0.05+0.1+0.25=0.4

Hence P(Y=1|X=3)=0.125
Answer:
Option b is correct
.
Step-by-step explanation:
Domain is the set of all possible values of x where function is defined.
Given the function:

To find the domain of the given function:
Exclude the values of x, for which function is not defined
Set denominator = 0

By zero product property;
and 
⇒x = 0 and 
⇒x = 0 and 
Therefore, the domain of the given function is:

There are 10 fish in the tank
<em><u>Solution:</u></em>
Given that, volume of a tank is 50 cubic feet
Density is 0.2 fish over feet cubed
<em><u>To find: Number of fish in the tank</u></em>
Number of fish in the tank is found by multiplying the volume of tank and density
<em><u>The formula is given by:</u></em>

<em><u>Substituting the given values, we get</u></em>

Thus there are 10 fish in the tank
We have been given a right angled triangle, hypotenuse is known, and angle has been given. we need to find the adjacent side to the angle.
we use trigonometry ratios.
the ratio where we relate the hypotenuse and adjacent side is the cosine.
cos θ = adjacent side / hypotenuse
where θ = 39°
hypotenuse - 17 m
adjacent side - x
we need to solve for x
cos 39° = x / 17
cos 39° = 0.77
0.7771 = x/17
x = 0.7771 x 17
x = 13.21 m
distance from Roman's feet to the base of the pole is 13.21