Answer:
Step-by-step explanation:
Given : Sample size : n= 400 () large sample
Significance level :
By using Standard normal table , Critical value :
Sample mean :
Standard deviation:
The confidence interval for population means is given by :-
Hence, the 95 percent confidence interval for the mean percentage share of billing volume from network television for the population of all U.S. advertising agencies =
Answer:
The height of the cliff CD is approximately 539.76 m
Step-by-step explanation:
The given parameters are;
The first angle of elevation with which the captain sees the person on the cliff = 61°
The second angle of elevation with which the captain sees the person on the cliff after moving 92 m closer to the cliff = 69°
The angle made by the adjacent supplementary angle to the second angle of elevation = 180° - 69° = 111°
∴ Whereby, the rays from the first and second angle of elevation and the distance the ship moves closer to the cliff forms an imaginary triangle, we have;
The angle in the imaginary triangle subtended by the distance the ship moves closer to the cliff = 180° - 111° - 61° = 8°
By sine rule, we have;
AB/(sin(a)) = BC/(sin(c))
Which gives;
92/(sin(8°)) = BC/(sin(61°))
BC = (sin(61°)) × 92/(sin(8°)) ≈ 578.165 m
BC ≈ 578.165 m
The height CD = BC × sin(69°)
∴ The height of the cliff CD = 578.165 m × sin(69°) ≈ 539.76 m.
The height of the cliff CD ≈ 539.76 m.
Answer: (3, 3)
Step-by-step explanation:
the graphs of and
are flipped: if the point
is on the graph of
, then the point
is on the graph of
.
Any points of intersection will satisfy . A point that satisfies this property must have the same x and y coordinate. (Think about it.) The only point on
like that is
, so that is the point of intersection.