Answer:
And we can find this probability using the z table and we got:
Step-by-step explanation:
Let X the random variable that represent the thickness of a population, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the z table and we got:
Speed of current ------ y km/h
<span>distance with the current = 4(x+y) </span>
<span>distance against the current = 5(x-y) </span>
<span>we know that 3.5(x+y) = 70 </span>
<span>x+y = 20 </span>
<span>but 4(x+y) = 4(20) = 80 </span>
<span>then 5(x-y) = 80 </span>
<span>x-y = 16 </span>
<span>x+y=20 </span>
<span>x-y=16 </span>
<span>add them </span>
<span>2x = 36 </span>
<span>x = 18 , then y = 2 </span>
The increase of the radius is a linear increase since we have the constant rate of 0.07 inches per second
The equation for a linear growth/decay is given by the form

where

is the rate of increase and

is the value of

when

We have

when
So the equation is 
The length of the radius when

seconds is


inches
The
<u>correct answer</u> is:
Matthew's rate is higher by $50 per month.
Explanation:
We know that Christopher's rate is $550 per month.
To find Matthew's rate, we will treat the data we have as ordered pairs:
(3, 1800)
(6, 3600)
(9, 5400)
We find the slope of the line between these points. The formula for slope is:

Using the first two points, we have:

To verify Matthew saves the same amount each month, we will find the slope between the second two points and make sure they're the same:

Matthew's rate is $600 per month.
This is higher than Christopher's by 600-550=$50 per month.
The answer to the question above as to which system of equations can be used to model the situation of Graham and Hunter when a cable lifts Graham into the air at a speed of 1.5 ft/s and Hunter throws the ball from a position of 5 ft. above the ground with an initial velocity of 24 ft/s. the equation will be : H = 18t + 1.5t - 16t ^ 2
H = 5 + 24t - 16t ^ 2