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
Answer:
x = -1
Step-by-step explanation:
First, we can translate this statement to the equation
Subtracting 4x from both sides gives us a quadratic equation:
From here, we can factor the expression on the right to give us the equation's two solutions. The factored form will look like
We need a + b = -4 and ab = -5, and picking a = 1 and b = -5 do the job there. Our expression factors then to (x + 1)(x - 5), giving us the equation
And the solutions x = -1 and x = 5. Since we're only looking for the negative solution, x = -1 is the one we want.
Slope intercept form is y=mx+b where m is slow and b is y intercept. since we dont have this info we will have to do some work to solve.
1. find slope. this is change in y du used by change in. so we take the two points given and subtract the y values and divide by difference of x values
m=(8-2)/(-3--1)=6/-2=-3
2
use point slope formula and simplify. this is y-y1=m(x-x1) where (x1,y1) is a point on the l in ne. you can pick either point it doesn't matter. we will use (-1,2)
y-2=-3(x+1)
simplify to slope intercept by solving for y
y-2=-3x-3
y=-3x-1
so we have slope -3 and y intercept -1
Answer:
1. 18 (sqrt21 - sqrt2a)
2. 3
3. x^m/n
4. (5x^4√10)/(√2x)
5. x = -2 or -6
6. x = 30
Step-by-step explanation:
Number 1
3^3sqrt21 - 6^3sqrt2a
3 * 6 * sqrt21 - sqrt2a
18 (sqrt21 - sqrt2a)
Number 2
3^1/2 * 3^1/2 =
3^1/2+1/2 =
3^1 =
3
Number 3
^nsqrtx^m =
x^m/n
Number 4
(√250x^16)/(√2x) =
(√25 * 10 * x^16)/√(2x )=
(5x^4√10)/(√2x)
Number 5
√2x + 13 - 5 = x
√2x + 13 = x + 5
square both side to take away the sqrt sign
(√2x + 13)^2 = (x + 5)^2
expand the equation on the RHS
2x + 13 = x(x+5) + 5(x+5)
2x+13 = x^2 + 10x +25
substract 13 from both sides
2x = x^s + 10x +12
subtract 2x from both sides
0 = x^2 +8x + 12
Factorize equation
x^2 + 6x +2x + 12 = 0
x(x+6) + 2(x+6) = 0
(x+2)(x+6) = 0
x = -2 or -6
Number 6
3 ^5sqrt(x+2)^3 + 3 = 27
subtract 3 from both sides
3 ^5sqrt(x+2)^3 = 27 - 3
3 ^5sqrt(x+2)^3 = 24
divide through by 3
^5sqrt(x+2)^3 = 8
square both sides by 5 to take away the 5th root sign
(x+2)^3 = (8)^5
(x+2)^3 = 32,768
take the cube root of both sides to take away the ^3
x+2 = ^3sqrt 32,768
x+2 = 32
x = 32 - 2
x = 30
