Answer:
8
Step-by-step explanation:
Answer:
It is not evident the mean annual premium in Pennsylvania is lower than the national mean annual premium
Step-by-step explanation:
Given that annual premium for automobile insurance in the United States (Insure website, March 6, 2014), are as follows:
Mean 1440.00
SD 165.00
SEM 33.00
N 25
a) 
(left tailed test at 5% level)
b) a point estimate of the difference between the mean annual premium in Pennsylvania and the national mean
=
c) df = 24
standard error of difference = 33.000
t = 1.9091
The 95% confidence interval of this difference:
From -131.11 to 5.11
p value = 0.0683
Since p >0.05, we accept H0
It is not evident the mean annual premium in Pennsylvania is lower than the national mean annual premium
-3 1/2 is another way it can be written
Answer:
= 18 red marbles
Step-by-step explanation:
Let x be the number of red marbles that must be added
Therefore;
New number or red marbles = x+12
Total marbles will be x+32
Thus;
The probability of selecting a red marble = (x+12)/(x+32)
Therefore;
(x+12)/(x+32)=3/5
5(x+12)=3(x+32)
5x+60+3x+96
2x=36
x=18
Answer:
Yes, the right angle is angle C.
Step-by-step explanation:
The given triangle has vertices at A(–2, 3), B(–3, –6), and C(2, –1).
Recall the slope formula;

The slope of the line going through AC is

The slope of the line going through BC s

The product of the slopes of AC and BC is 
This means line AC is perpendicular to BC at C.
Hence the triangle ABC is right angled at C.