Answer:
$18.50
Step-by-step explanation:
In the example before 61 messages = $6.10 or rounding to the tenths place 6.1. If you do the same with 185, you get 18.5 or 18.50
To solve for proportion we make use of the z statistic.
The procedure is to solve for the value of the z score and then locate for the
proportion using the standard distribution tables. The formula for z score is:
z = (X – μ) / σ
where X is the sample value, μ is the mean value and σ is
the standard deviation
when X = 70
z1 = (70 – 100) / 15 = -2
Using the standard distribution tables, proportion is P1
= 0.0228
when X = 130
z2 = (130 – 100) /15 = 2
Using the standard distribution tables, proportion is P2
= 0.9772
Therefore the proportion between X of 70 and 130 is:
P (70<X<130) = P2 – P1
P (70<X<130) = 0.9772 - 0.0228
P (70<X<130) = 0.9544
Therefore 0.9544 or 95.44% of the test takers scored
between 70 and 130.
Answer:
x = 21°
Step-by-step explanation:
Vertical angles have the same measures, therefore:
3x - 30 = 2x - 9
x - 30 = -9
x = 21°
That's not a good question at all. It's a lot like asking
"What are the statements for News and President Obama ?"
There are at least a hundred formulas that are useful in trigonometry.
One of the most useful is:
In a right triangle, the square of the length of the hypotenuse
is equal to the sum of the squares of the two short sides.
Pythagoras is the name of the ancient Greek mathematician who
discovered that formula. The formula is so useful that it's known
by his name, in his honor.