Answer:
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 490 mg and variance of 400.
This means that 
What is the probability that a randomly selected pill contains at least 500 mg of minerals?
This is 1 subtracted by the p-value of Z when X = 500. So



has a p-value of 0.6915.
1 - 0.6915 = 0.3085
0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals
If you look through the chart, you'll see that in each column,
the amount of money donated is 1/5 the number of lunch
specials sold.
The equation is:
Donation amount = (1/5) · (lunch specials sold) .
The constant of proportionality in money per lunch special sold
is $1/5 or 20 cents.
What we have here is called INTERSECTING CHORDS IN A CIRCLE.
The equation is:
10 times x = 7 times 7
10x = 49
x = 49/10
x = 4.9
Answer:
(C)
Step-by-step explanation:
Given the distance, d(t) of a particle moving in a straight line at any time t is:

To find an expression for the instantaneous velocity v(t) of the particle at any given point in time, we take the derivative of d(t).

The correct option is C.