Asurvey asked 281 people what alternative transportation modes they use. the results are below. 153 walk 137 use the bus 137 ride a bicycle 85 walk and use the bus 67 walk and ride a bicycle 90 ride the bus and ride a bicycle 49 said they use all three modes of transportation how many people only ride the bus?

11 people only ride the bus

Step-by-step explanation:

Let A, B and C represents the event of walking, taking bus and taking a bicycle respectively.

According to the question,

n(A) = 153,

n(B) = 137,

n(C) = 137,

n(A∩B) = 85,

n(A∩C) = 67,

n(B∩C) = 90,

n(A ∩ B ∩ C) = 49,

Hence, the number of people who only ride the bus = n(B) - n(A∩B) - n(B∩C) + n(A ∩ B ∩ C)

= 137 - 85 - 90 + 49

= 11

since your problem is x^4 = 81, what you have to undeo is the "to the fourth power" part.

the inverse (opposite operation) of "to the fourth power" is "to the fourth root".

  (x^4) ^ ¼   = 81 ^ ¼  

  81 = 3^4     so (3 ^ 4) ^ ¼   =   3 ^ 1   = 3

by hand: (3 ^ 4) ^ ¼   =   3 ^ (4 x ¼) = 3 ^ 1   = 3   (when you take a power to a power, multiply the exponents.)

or, do it by calculator. one way of finding the fourth root is to use ^ (1/4)

step-by-step explanation:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!