Answer: 0.0304
Step-by-step explanation:
A z-test is a statistical test that is used to determine if two population means are different when the variances are known and the sample size is large. The test statistic is assumed to have a normal distribution, and nuisance parameters such as standard deviation should be known in order for an accurate z-test to be performed.
A z-statistic, also known as z-score, is a number representing how many standard deviations above or below the mean population a score derived from a z-test is.
Therefore,
sample size,n = 36
mean,u = 16 ounce
standard deviation,s = 0.2 pounds = 3.2 ounce
x = 15 ounce
z = (x-u) / (s/sqrt(n)) = -1.875
In conclusion, the probability that the amount dispensed by box will be increased is:
P(X<15) = P(Z<-1.875)
= 1 - P(Z<1.875)
= 1 - 0.9696
0.0304
The Answer is 0.0304.
Well, yes and no.
Yes, because the straight line needs to pass through a number greater than 0, and 1 is obviously greater than 0.
However, y = x + 1 is not the same as y = x.
hope this helps.! let me know if it's in any way confusing..
I'd be happy to help!
Answer:
r = {-8, -4}
Step-by-step explanation:
Simplifying
r2 = -32 + -12r
Solving
r2 = -32 + -12r
Solving for variable 'r'.
Reorder the terms:
32 + 12r + r2 = -32 + -12r + 32 + 12r
Reorder the terms:
32 + 12r + r2 = -32 + 32 + -12r + 12r
Combine like terms: -32 + 32 = 0
32 + 12r + r2 = 0 + -12r + 12r
32 + 12r + r2 = -12r + 12r
Combine like terms: -12r + 12r = 0
32 + 12r + r2 = 0
Factor a trinomial.
(8 + r)(4 + r) = 0
Subproblem 1
Set the factor '(8 + r)' equal to zero and attempt to solve:
Simplifying
8 + r = 0
Solving
8 + r = 0
Move all terms containing r to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + r = 0 + -8
Combine like terms: 8 + -8 = 0
0 + r = 0 + -8
r = 0 + -8
Combine like terms: 0 + -8 = -8
r = -8
Simplifying
r = -8
Subproblem 2
Set the factor '(4 + r)' equal to zero and attempt to solve:
Simplifying
4 + r = 0
Solving
4 + r = 0
Move all terms containing r to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + r = 0 + -4
Combine like terms: 4 + -4 = 0
0 + r = 0 + -4
r = 0 + -4
Combine like terms: 0 + -4 = -4
r = -4
Simplifying
r = -4
Solution
r = {-8, -4}
Answer:Acid Rain
Step-by-step explanation:
