Answer: the system has no solution
Step-by-step explanation: for a solution to occur the lines have to cross
9514 1404 393
Answer:
12 1/2 laps
Step-by-step explanation:
To find the number of laps, divide the distance by the distance per lap.
(3 1/8) ÷ (1/4) = (3 1/8) × (4/1) = 3·4 +(1/8)·4 = 12 4/8 = 12 1/2
Quadir needs to jog 12 1/2 laps if he wants to jog 3 1/8 miles.
Using cosine law,
d^2 = 65^2 + 35^2 - 2(65)(35)cos140
= 8935.5022
d = sqrt(8935.5022)
= 94.5 m
Angle = inverseCos(35sin40 / 94.5) = 76.23 degrees South of East
Answer: (0.63, 7.07)
Step-by-step explanation:
The confidence interval for population proportion is given by :-

Given :
; 
Significance level : 
Critical value : 
Now, a 90% confidence interval for population proportion will be :-

Hence, a 90% confidence interval for population proportion = (0.63, 7.07)