Answer:
(a) 93.19%
(b) 267.3
Step-by-step explanation:
The population mean and standard deviation are given as 502 and 116 respectively.
Consider, <em>X</em> be the random variable that shows the SAT critical reading score is normally distributed.
(a) The percent of the SAT verbal scores are less than 675 can be calculated as:
Thus, the required percentage is 93.19%
(b)
The number of SAT verbal scores that are expected to be greater than 575 can be calculated as:
So,
Out of 1000 randomly selected SAT verbal scores, 1000(0.2673) = 267.3 are expected to have greater than 575.
If you have a unit circle, it means that you have a circle of radius r = 1 unit. So if we consider the scalene triangle of the figure, its vertical side is the sine of the theta angle and its horizontal side is the cosine of the theta angle. Then to find the hypotenuse of the triangle you use the Pythagorean theorem, thus relating the sine and cosine measures. I attach the solution.
Answer:
A. 5
Step-by-step explanation:
The marginal benefit of an article, 
is calculated as:
Where 
is the change in the total benefit of the article, and 
is the change in the units of the article.
If we want to know the marginal benefit of watching the 3rd game, we need to use the information of total benefit of watching 2 games and 3 games.
In this case, the total benefit of watching 2 games is 120 and the total benefit of watching 3 games is 125, so and are equal to:
Then, the marginal benefit of watching the third game is:
Standard form is ax^2+bx+c=0
First evaluate the exponent and expand (foil).
y= 3(x^2-4x+4)+1
Then distribute the 3
y= 3x^2-12x+12+1
Combine like terms
y=3x^2-12x+13
Final answer: 3x^2-12x+13=0
Answer:
(n*19)-4
Step-by-step explanation:
A product is the result of multiplication, so the product of a number (represented as n) and 19 would be n*19. Put these in parentheses, so that it remains organized and you don't become confused later.
Then 4 less would simply mean you subtract 4 from the product of n and 19.
(n*19)-4
