Answer: Probability that the proportion of students who graduated is greater than 0.743 is P = 0.4755
Step-by-step explanation:
Given that,
Probability of freshmen entering public high schools in 2006 graduated with their class in 2010, p = 0.74
Random sample of freshman, n = 81
Utilizing central limit theorem,

So,

= P( Z > 0.0616)
= 0.4755 ⇒ probability that the proportion of students who graduated is greater than 0.743.
Answer:
B) Associative Property of Multiplication
Step-by-step explanation:
The associative property states you can change where the parentheses (grouping terms) are in a multiplication statement, and you'll get the same product.
More generally:
(a * b) * c = a * (b * c)
Answer:
So the answer is both
180 and 328 (but it may or may not show you "not possible, if so, then you got it right)
Step-by-step explanation:
SinA/a= SinB/b
1. SinM/780 = Sin164/760
2. 780sin164/760 = 0.2828909704
3. M = sin^-1 (0.2828909704)= 16.4328229 or 16
Check for possibility
180-16= 164
164 + 16= 180 (not possible)
164 + 164= 328 (not possible)
You would begin by choosing which trigonometric function to use.
In this case, you would use sine.
Sine is opposite over hypotenuse.
Opposite of the 35 degree angle is 18, and you want to find the hypotenuse which is x.
sin(35) =

(multiply x to both sides)
x sin(35) = 18 (divide sin(35) to both sides)
x = 31.38204...
So, therefore
x = 31.38. I don't know what decimal point you're supposed to round to, so I'm gonna guess the hundredths place. :)