Answer:
1. x= 5
2.x= -3
Step-by-step explanation:
I used a Venn Diagram which I attached.
Think of it as a flower and work your way from the center out to the doubles (two kinds of coffee) and finally the singles (only one kind of coffee)
I place 4 in the center to represent the people that like all three.
Then I put 8 in the Latte Espresso group since they along with the 4 who like all three, make up the 12 who like lattes and espresso. I put 4 in the Latte & Cappuccino group since they and the 4 who like all coffees, make up the 8 who like lattes and cappuccinos. And then I put 5 in the Espresso Cappuccino group who along with the 4 in the middle make up the 9 who like both of those.
In all 20 like lattes and my latte circle already has 16 so I added 4 (who only like lattes). 22 like espresso and I have accounted for 17 (8+4+5) so that means there are 5 who only like espresso. Finally out of the 17 who like cappuccinos, 13 are already accounted for so I will add 4 who like only cappuccinos.
Since there are 50 people and I can account for 34 of them (add all the numbers in all three circles), there must be 50-34 people who don't like any. The correct answer is
d.16
Answer:
5 ; 2.07 ; 1.85
Step-by-step explanation:
Given the data:
2, 3, 5, 6, 7
The range : ( highest - lowest)
The range = (7 - 2) = 5
Sample standard deviation :
sqrt[Σ(x - m)²/ (n - 1)]
The mean (m) = Σx / n
n = sample size = 5
Σx / n ;
(2+3+5+6+7) / 5
= 23 / 5
= 4.6
[(2-4.6)^2 + (3-4.6)^2 +(5-4.6)^2 + (6-4.6)^2+ (7-4.6)^2] / (5 - 1)
= 17.2 / 4
= 4.3
Sqrt(4.3) = 2.07
Population standard deviation :
sqrt[Σ(x - m)²/ n]
The mean = m = 4.6
n = sample size = 5
[(2-4.6)^2 + (3-4.6)^2 +(5-4.6)^2 + (6-4.6)^2+ (7-4.6)^2] / 5
= sqrt(17.2 / 5)
= sqrt(3.44)
= 1.8547 = 1.85
Answer:
Step-by-step explanation:
Answer:
x=40
Step-by-step explanation:
y=kx
36=16k
k=9/4
y=9/4 x
90=9/4 x
x=40
