The work and answer provided are correct, the simpler way of doing it is
1)
1/6 page written in 1/12 of a minute
to write a full page, you would need to write 1/6, 6 times
so,

and

so it takes 1/2 of a minute to write a full page, there are 60 seconds in a minute, 1/2 of 60 seconds is 30 seconds
same process works for question 2(use 3 instead of 6 though)
Answer:
49
Step-by-step explanation:
cos(x)=31/47
x=cos^-1 (31/47)
Answer:
0.36878
Step-by-step explanation:
Given that:
Mean number of miles (m) = 2135 miles
Variance = 145924
Sample size (n) = 40
Standard deviation (s) = √variance = √145924 = 382
probability that the mean of a sample of 40 cars would differ from the population mean by less than 29 miles
P( 2135 - 29 < z < 2135 + 29)
Z = (x - m) / s /√n
Z = [(2106 - 2135) / 382 / √40] < z < [(2164 - 2135) / 382 / √40]
Z = (- 29 / 60.399503) < z < (29 / 60.399503)
Z = - 0.4801364 < z < 0.4801364
P(Z < - 0.48) = 0.31561
P(Z < - 0.48) = 0.68439
P(- 0.480 < z < 0.480) = 0.68439 - 0.31561 = 0.36878
= 0.36878
Answer:
see below
Step-by-step explanation:
Add 4 to find the solution:
z ≤ 7
The value 7 is included in the solution set, so there will be a solid dot at that point. Numbers less than 7 are also included in the solution set, so the number line will be shaded to the left of that solid dot.
Im not sure but maybe 1 adult and one child but im not sure if this is a trick question