Answer:
Step-by-step explanation:
There are 950 students at Hanover High School. The ratio of the number of freshmen to all students is 3:10. This means that the number of freshmen is 3/10 × total number of students.
Number of freshmen = 3/10×950 =285 freshmen
The ratio of the number of sophomore to all students is 1:2. This means that the number of sophomore is 1/2 × total number of students.
Number of sophomore = 1/2×950 =475 sophomore
The ratio of the number of freshmen to sophomore is the number of freshmen/ the number of
sophomore.
It becomes 285/475 = 57/95
Hello!!
P (Passing a qualifying examination) = 3/4
P (Being appointed if he does pass) = 3/8
P (Recieve the job) = 3/4 × 3/8 = 9/24
Good luck :)
Answer/Step-by-step explanation (ac > b² or b² < ac.
)
A/c to question, we have to show:-
b² >ac in A.P ........ (1)
b² = ac in G.P .....(2)
b² < ac in H.P. ..... (3)
b = a+c/2 (A.P)
b = √ac ( G.P)
b = 2ac/a+c (H.P)
In A.P :
b² > ac = b² - ac
= (a+c/2)² - ac
= (a²+2ac+c²/4) - ac = a² + 2ac + c² - 4ac / 4
= a² - 2ac + c² / 4 = ( a - c ) ² / 4 > 0 Hence, b²>ac
In G.P:-
b = √ac
Hence, b² = ac
In H.P :- b² < ac = ac > b² = ac - b² = ac - ( 2ac / a+c)
= ac(a+c) - 2ac / a+c
= a²c + ac² - 2ac / a+c
= ac(2ac - 2) / a+c > 0
Hence, ac > b² or b² < ac.
Round 8.1 down to 8
Round 4.2 down to 4
8(4)= 32
The estimated product is 32.
Hope this helps!
