Answer:
Step-by-step explanation:
We have the quadratic equation 
i.e. 
As, the roots of the quadratic equation 
are given by 
.
So, from the given equation, we have,
a = 1, b = -36 , c = -324.
Substituting the values in , we get,
i.e. 
i.e. 
i.e. 
i.e. 
and 
i.e. 
and 
i.e. x = 43.45 and x = -7.45
Thus, the roots of the equation are 43.45 and -7.45.
Hence, the factored form of the given expression will be
Answer:
-01/0/0.8/1.2/1.6
Step-by-step explanation:
Answer:
The mean is 85.25
The medium is 86
The mode is 92
Step-by-step explanation:
The mean is all the numbers added divided by the number of values.
77 + 92 + 80 + 92 divided by 4
341 divided by 4 = 85.25
The median is the middle number
92 + 80 divided by 2
172 divided by 2 = 86
The mode is the number that occurs the most which is 92.
Answer:
Step-by-step explanation:
( 
, 
)
( 
, 
)
rate of change or slope m = 
= 
y = mx + b
"b" is y-intercept
~~~~~~~~~~~~~~~~~~~
Answer:
Step-by-step explanation:
a) The null hypothesis states that
The production line operation fills cartons with laundry detergent to a mean weight of 32 ounces.
H0 : µ = 32
The alternative hypothesis states that
The production line operation overfills or under fills cartons with the laundry detergent to a mean weight of above or below 32 ounces.
Ha : µ ≠ 32
b) when the calculations are done and the p value is determined, then it would be compared with the level of significance
When the significance level is lesser than the p value, we do not reject H0 because there is no sufficient evidence to conclude that the production line operation overfills or under fills cartons.
c) When the significance level is greater than the p value, we would reject H0 because there is sufficient evidence to conclude that the production line operation overfills or under fills cartons.
