Answer:
100
Step-by-step explanation:
M = log(I/S)
The intensity of the first earthquake:
8 = log(I₁/S)
10⁸ = I₁/S
I₁ = 10⁸ S
The intensity of the second earthquake:
6 = log(I₂/S)
10⁶ = I₂/S
I₂ = 10⁶ S
The ratio is:
I₁/I₂ = (10⁸ S) / (10⁶ S)
I₁/I₂ = 100
It is 100 times stronger.
Answer:
166.68
Step by Step:
166.678
The bolded number is greater than 5 meaning you have to round up.
so 166.678 is rounded to 166.68.
Hope this helped.
We will use tangent here as we are finding the opposite with the adjacent given.
So we can simply just put this into a calculator:
tan(68°) × 7 cm = AC
tan(68°) × 7 cm = 17.3 cm
Answer:
324
Step-by-step explanation:
given that in a poll, 74% of the people polled answered yes to the question "Are you in favor of the death penalty for a person convicted of murder?"
i.e. Sample proportion 
Margin of error = 4% = 0.04
Confidence level =90%
Z critical value for 90% = 1.645
Margin of error = 1.645 * std error
Hence std error = 
Std error is also equal to

Sample size should be 324.
The formula is sample size = (Z critical value)^2 (pq)/(Margin of error )^2
Eddie is correct about his prediction. A coin has two sides, one head, one tail, so there is a 50% chance that it will land heads every time Eddie flips the coin. I would tell Eddie that his prediction is reasonable and mathematically correct.