Answer:

And we can find this probability to find the answer:

And using the normal standar table or excel we got:

Step-by-step explanation:
Let X the random variable that represent the amounts of nocatine of a population, and for this case we know the distribution for X is given by:
Where
and
We have the following info from a sample of n =37:
the sample mean
And we want to find the following probability:

And we can use the z score formula given by;

And if we find the z score for the value of 0.872 we got:

And we can find this probability to find the answer:

And using the normal standar table or excel we got:

The pythagorean theorem states that the sum of the squares of two legs of a right triangle is equivalent to the hypotenuse.
So:
35^2 + b^2 = 40^2
1225 + b^2 = 1600
b^2 = 375
b = 
b = 19.3649
<u>The missing side's length rounded to the nearest tenth is Option C, 19.4</u>
Answer:
48x² + 24x + 3
Step-by-step explanation:
Width = (4x + 1) in
Length = 3 *width = 3*(4x + 1) = 3*4x + 3*1
= (12x + 3) in
Area of rectangle = length * width
= (12x + 3) (4x + 1)
= 12x *4x + 12x *1 + 3*4x + 3*1
= 48x² + 12x + 12x + 3
= 48x² + 24x + 3
Answer:
y - 7 = 2(x - 1)
Step-by-step explanation:
Going from (-3, -1) to (1, 7), x increases by 4 and y by 8. These numbers are the 'run' and 'rise' of the line, respectively. Thus, the slope of the red line is m = rise/run = m = 8/4 = 2.
Using the point-slope formula and the point (1, 7), we get:
y - 7 = 2(x - 1)