Let x be a random variable representing the number of skateboards produced
a.) P(x ≤ 20,555) = P(z ≤ (20,555 - 20,500)/55) = P(z ≤ 1) = 0.84134 = 84.1%
b.) P(x ≥ 20,610) = P(z ≥ (20,610 - 20,500)/55) = P(z ≥ 2) = 1 - P(z < 2) = 1 - 0.97725 = 0.02275 = 2.3%
c.) P(x ≤ 20,445) = P(z ≤ (20,445 - 20,500)/55) = P(z ≤ -1) = 1 - P(z ≤ 1) = 1 - 0.84134 = 0.15866 = 15.9%
What you gotta take from this problem:
What Joe got during break =

What his sister gave him =

What he has total = 10 tadpoles.
Now to assemble this equation:

Now combine like terms to get

Subtract 2 on each side of the equation to get

Now you would divide 5 on each side and get

, however since you can't have a .6 of a tadpole, you would have to round it up to 2.
Answer:
Option A.
Step-by-step explanation:
It is given secθ = - 
then cosθ = -
Now we know the identity
sinθ = 
= 
= 
Now sin2θ = 2sinθcosθ
Now we put the values of cosine and sine in the formula
sin2θ = 2×(-
)(
)
= -
Therefore, option A. is the answer.
The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

Step-by-step explanation:
Given equation of line is:

We have to convert the given line in slope-intercept form to find the slope of the line
So,
Dividing both sides by 4

Let m1 be the slope of given line
Then

Let m2 be the slope of line perpendicular to given line
As we know that produt of slopes of two perpendicular lines is -1

The slope intercept form of line is given by:

Putting the value of slope

to find the value of b, putting (3,-3) in equation

Putting the value of b in the equation

Hence,
The equation of line perpendicular to 4y = x-8 passing through (3,-3) is:

Keywords: Equation of line, slope
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