Answer:
d. 8.38 ft
Step-by-step explanation:
arc(NM) = 180° - 100° = 80° (Angles on a straight line)
Length of arc = θ/360°*2πr
θ = 80°
r = 6 ft
Plug in the values
Length of arc(NM) = 80/360*2*π*6
= 8.3775804
= 8.38 ft
Answer:
x = 11.85
Step-by-step explanation:
x^2+(x-4)^2=202
x^2+(x-4)(x-4)=202
x^2 + x^2 - 4x - 4x + 16 = 202
2x^2 - 8x + 16 = 202
2x^2 - 8x - 186 = 0
Apply the quadratic equation and you'll get x as:
x=11.85 or x=-7.85
x cannot be negative
therefore x = 11.85
Answer:
136 
Step-by-step explanation:
Well if you find the lateral area (the area of the rectangles on the sides) to get 112, so you just need to add that to the triangles and for those (they add up to 36) you can just use the formula for the area of a triangle, which is
.
Hope this helps :)
Answer:
The z-score for an income of $2,100 is 1.
Step-by-step explanation:
If X
N (µ, σ²), then
, is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z
N (0, 1).
The distribution of these z-variate is known as the standard normal distribution.
Given:
µ = $2,000
σ = $100
<em>x</em> = $2,100
Compute the <em>z</em>-score for the raw score <em>x</em> = 2100 as follows:

Thus, the z-score for an income of $2,100 is 1.
Yes and yes are your two answer for the problems