A positive slope will always have the line on the graph raising upwards while a negative slope won’t.
Given:
The distance between the two buildings on a map = 14 cm
The scale is 1:35000.
To find:
The actual distance in km.
Solution:
The scale is 1:35000.
It means 1 cm on map = 35000 cm in actual.
Using this conversion, we get
14 cm on map =
cm in actual.
=
cm in actual.
=
cm in actual.
=
km in actual. ![[1\text{ km}=100000\text{ cm}]](https://tex.z-dn.net/?f=%5B1%5Ctext%7B%20km%7D%3D100000%5Ctext%7B%20cm%7D%5D)
Therefore, the actual distance between two buildings is 4.9 km.
Answer:
The margin of error is of 0.038 = 3.8%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The margin of error is:



The margin of error is of 0.038 = 3.8%.
Answer:
volume of xy-plane outside the cone = 16π/3
Step-by-step explanation:
using cylindrical coordinates
z² = x² +y² =====>z²=r²=====>z=r
x² + y² =4 ====>r = 2
So, the volume ∫∫∫dV equal
∫(θ = 0 to 2π) ∫(r = 0 to 2) ∫z=0 to r) 1 x (r dz dr dθ) via cylindrical coordinates
= ∫(θ = 0 to 2π) ∫(r = 0 to 2) r² dr dθ
= ∫(θ = 0 to 2π) (1/3)r³ {for r = 0 to 2} dθ
= 2π x 8/3
= 16π/3