Distance of A from cliff = 1500·arctan(30°) ≅ 723.5 ft
distance of B from cliff = 723.5+1000√3 ≅ 2455.6 ft
tanθ = 2455.6/1500 = 1.637
θ = arctan(1.637) ≅ 58.6°
angle of depression = 90-θ ≅ 30°
Answer:
LCL = 59.26 to two decimal places
Step-by-step explanation:
Here, we want to estimate the LCL of the population mean with 90% confidence
We proceed as follows;
Given alpha = 0.1, then Z(0.05)=1.645 (from standard normal table), s = 15
Mathematically;
LCL =x_bar -Z*s/√( n)= 62 - (1.645 * 15)/√81
LCL = 62- (24.675)/9 = 59.2583
LCL = 59.26 to two decimal places
Answer:
x=3, y=-2. (3, -2).
Step-by-step explanation:
4x+2y=8
5x+3y=9
---------------
simplify 4x+2y=8 into 2x+y=4
-----------------
2x+y=4
5x+3y=9
----------------
y=4-2x
5x+3(4-2x)=9
5x+12-6x=9
-x=9-12
-x=-3
x=3
2(3)+y=4
6+y=4
y=4-6
y=-2
Answer: the difference in yearly median income for a female vs male at a masters degree level is
$15,642.90/year
Step-by-step explanation:
there are roughly 52.143 week in a year.
the median weekly income for a female with a masters degree is : $901.00
the median weekly income for a male with a masters degree is :
$1,201
so if you multiply $901 x 52.143 you get :
$46,980.84, which is what a female makes in a year with a md
and if you multiply $1,201 x 52.143 you get :
$62,623.74, which is what a male makes in a year with a md
subtract $62,623.74 - $46,980.84 you get :
$15,642.90 / year
Hun, these questions look opinionated. They are asking what all you can do and what you need help with.
