a. Let
be a random variable representing the weight of a ball bearing selected at random. We're told that
, so

where
. This probability is approximately

b. Let
be a random variable representing the weight of the
-th ball that is selected, and let
be the mean of these 4 weights,

The sum of normally distributed random variables is a random variable that also follows a normal distribution,

so that

Then

c. Same as (b).
Asking the Math Gods...
550*.082+550=$595.10
$45.10 in tax
Answer:
t = 6 years
Step-by-step explanation:
Use the simple interest formula: i = prt, where p is the principal, r is the interest rate as a decimal fraction, and is the elapsed time, in years.
Here we want to know how long it will take for the interest alone to reach $449.40. We first solve i = prt for t, obtaining t = i/(pr).
Here, the length of time is t = ($449.40) / (0.06*$1498.00). This works out to
t = 5.9947, or approximately 6 years.
t = 6 years
g(x) = x² - 5x + 2
You are looking for g(0). This means that you must replace all the x values in the equation above with 0
(0)² - 5(0) + 2
Now you need to solve according to the rules of PEMDAS:
(0)² - 5(0) + 2
0 - 5(0) + 2
0 - 0 + 2
0 + 2
2
g(0) = 2
Hope this helped!
~ Just a girl in love with Shawn Mendes
I believe the answer would be B, since both situations give you 6 chances at drawing/rolling the right number/marble.