According
to the empirical rule, if the data form a "bell-shaped" normal
distribution, approximately 99.7 percent of the observations will be contained
within 3 standard deviations around the mean.
<span>
To add, a bell curve is used to describe the mathematical concept called
normal distribution, sometimes referred to as Gaussian distribution. </span>
Answer: This coil will not be enough to complete the job.
Step-by-step explanation:
The circumference of the coil of wiring can be calculated with:

Where r is the radius and 
The radius can be calculated by dividing the diameter by 2. Then:

Convert 9 inches to yards (1 yard=36 inches):

Substitute this radius into the formula:

Since there are 21 circles of wire, you need to multiply
by 21:

The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough to complete the job.
Answer:
4
Step-by-step explanation:
Here let the number of ride tickets be r, and the number of food tickets be f.
Hence

We first plot the two inequalities on graph as shown in attachment. From the graph we see that the two in-equation meet at (4,12)
Hence we can see that the maximum value of r is 4
Answer:

Step-by-step explanation:
we know that

when
-------> complementary angles
so


Because
-------> complementary angles
In this problem the product of

is equal to

therefore

Answer:
$20
Step-by-step explanation:
Broker's usually take a percentage of the money made or a fixed amount no matter how much is traded.
Here, the broker charges $10 per trade. So, it doesn't matter how much you do trade, the broker will charge $10 PER TRANSACTION.
Samantha bought stocks worth 2500 (1 transaction)
Samantha sold these again for 2750 (1 transaction).
So there were 2 trades made by Samantha.
So broker would charge $10 + $10 = $20