Answer:
We fail to reject H0; Hence, we conclude that there is no significant evidence that the mean amount of water per gallon is different from 1.0 gallon
Pvalue = - 2
(0.98626 ; 1.00174)
Since, 1.0 exist within the confidence interval, then we can conclude that mean amount of water per gallon is 1.0 gallon.
Step-by-step explanation:
H0 : μ= 1
H1 : μ < 1
The test statistic :
(xbar - μ) / (s / sqrt(n))
(0.994 - 1) / (0.03/sqrt(100))
-0.006 / 0.003
= - 2
The Pvalue :
Pvalue form Test statistic :
P(Z < - 2) = 0.02275
At α = 0.01
Pvalue > 0.01 ; Hence, we fail to reject H0.
The confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 99% confidence level = 2.58
Margin of Error = 2.58 * 0.03/sqrt(100) = 0.00774
Confidence interval :
0.994 ± 0.00774
Lower boundary = (0.994 - 0.00774) = 0.98626
Upper boundary = (0.994 + 0.00774) = 1.00174
(0.98626 ; 1.00174)
9/7 or 1 2/7 is the answer. im pretty sure its right.
Answer:
The magnitude of the claimed earthquake would be 13.67.
Step-by-step explanation:
The 1906 earthquake had a intensity of A and a magnitude of 7.8.
S is going to have the same value, so i am going to write as 1. So:



Many pundits claim that the worst is yet to come, with an earthquake 748,180 times as intense as the 1906 earthquake ready to hit San Francisco.
So 
So

The magnitude of the claimed earthquake would be 13.67.
Answer:
у = x² + 7x - 30
Step-by-step explanation:
x₁ = 3 and x₂ = -10
Use the formula (x - x₁)(x - x₂) = 0
(x - 3)(x - (-10)) = 0
(x - 3)(x + 10) = 0
x² + 10x - 3x - 30 = 0
x² + 7x - 30 = 0