Hello,

Let's assume i the number of lines,
u(i) the number of regions:

$u_0=1\\\\
u_1=2=1+1=1+u_0\\\\
u_2=4=2+u_1\\\\
u_3=7=3+u_2\\\\
u_4=11=4+u_3\\\\
u_5=16=5+u_4\\\\
...\\\\
\boxed{u_{n+1}=(n+1)+u_{n}}\\\\

u_{n+1}=(n+1)+n+(n-1)+...+1+u_0\\\\

\boxed{u_{n+1}= \dfrac{(n+1)*(n+2)}{2}+1 }$

6 0

3 years ago

after an art class 15% of the color pencils were missing. how many color pencils were there originally if 9 color pencils are no

NARA [144]

We know that the 15% of missing pencils is equal to 9

we can use this formula

9/x = 15/100

Then cross multiply

15x = 900

x = 60

There were orignally 60 pencils

8 0

3 years ago

Assume that IQ scores are normally distributed with a mean of 100 and a standard deviation of 16. If 100 people are randomly sel

laiz [17]

Answer:

0.03 is the probability that for the sample mean IQ score is greater than 103.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 16

Sample size, n = 100

We are given that the distribution of IQ score is a bell shaped distribution that is a normal distribution.