Probaility in general is defined as the ratio of positive outcomes over the total number of outcomes.
In the first example, the total outcomes are 16; let us count the positive ones. There are 8 even numbers from 1-16. The prime numbers are 2,3,5,7,11,13. Out of those, only 5 are odd. Hence, in total there are 13 positive outcomes. Thus, the probability is 13/16=81.25%
Let's restrict the problem to the students that studied for the exam; the proportion is 0.57 of the total students. 0.52 of the total students studied and saw an increase in their exam. Hence, the probability that a student who studied saw an increse is 0.52/0.57 (here a positive outcome is the proportion that saw an increase and the total outcomes are all the students that studied). 0.52/0.57=91.22%
Answer:
Step-by-step explanation:
8/3=3(c+5/3)
multiply both sides by 3
8=9(c+5/3)
divide both sides by 9
8/9=c+5/3
subtract 5/3 from both sides
c=8/9-5/3
change 5/3 to 15/9
c=8/9-15/9
c=-7/9
Answer:
a=4
b=-6
Step-by-step explanation:
3(2ax-10)=24x+5b
6ax - 30 = 24x + 5b
6a = 24
a = 4
5b = -30
b = -6
check: 3(2*4*x - 10) = 24x - 30 = 24x + 5 * (-6) = 24x - 30
Answer:
54.2
Step-by-step explanation:
we want to find m∠T
Recall the three main trig functions
sin = opposite / hypotenuse
cos = adjacent / hypotenuse
tan = opposite / adjacent
we are given the side length opposite of ∠T ( SU ) and the adjacent (TU)
when dealing with the opposite and adjacent we use tan
tan = opposite / adjacent
opposite (SU) = 18 and adjacent (TU) = 13 ( let ∠T = x )
So tan(x) = 18/13
* take the inverse tan of both sides *
arctan(tan(x)) = x
acrtan (18/13) = 54.2
we're left with x = 54.2 meaning that ∠T = 54.2
7.1(6)+4.8(6)= 71.4 the answer is $71.4
