Answer:
Congruent
Step-by-step explanation:
It has a 6:1 ratio meaning for every 6 cups of apple juice there is 1 cup of lemon-lime soda
Answer:
<20,23>
Step-by-step explanation:
u= <4,5> and v= <0,-1>
2v = 2*<0,-1> = <0,-2>
5u = 5* <4,5> = <20,25>
2v+5u = <0,-2> + <20,25>
= <20,23>
Answer:
<u>375 Adult Tickets.</u>
Step-by-step explanation:
Here, we can simply set up an equation using variable <em>x </em>in place of the unknown student/adult tickets.
x = # of <u>adult</u> tickets sold
x + 65 = # of <u>student</u> tickets sold.
1) x + x + 65 = 815 (set both ticket amounts equal to the total)
2) 2x + 65 = 815 (added common variables together)
3) 2x = 750 (negated the +65, subtracted it from both sides)
4) x = 375 (divided both sides by 2)
5) 815 - 375 = 440 (subtracted the x from the total number of <u>adult</u> tickets, to recieve the amount of <u>childrens</u>' tickets.
Therefore,
Since there were fewer adult tickets sold (-65), 375 is the number of adult tickets, and 440 is the number of student tickets.
Answer:
you want 4 correct and 16 incorrect
there are 20 questions
each question has four answers, so
P(right answer) = 1/4
P(wrong answer) = 3/4
----
Since you want 4 correct of 20 we have a combination of 20C4
This is a binomial problem where p = 1/4, q = 3/4 and we get
(20 "choose" 4)*(probability correct)^(number correct)*(probability incorrect)^(number incorrect)
putting numbers in we get
(20c4)*(1/4)^4*(3/4)^16
This gives us
~ .189685
Step-by-step explanation:
