Answer:
(15,595, 16,805)
Step-by-step explanation:
We have to:
m = 16.2, sd = 3.75, n = 150
m is the mean, sd is the standard deviation and n is the sample size.
the degree of freedom would be:
n - 1 = 150 - 1 = 149
df = 149
at 95% confidence level the t is:
alpha = 1 - 95% = 1 - 0.95 = 0.05
alpha / 2 = 0.05 / 2 = 0.025
now well for t alpha / 2 (0.025) and df (149) = t = 1,976
the margin of error = E = t * sd / (n ^ (1/2))
replacing:
E = 1,976 * 3.75 / (150 ^ (1/2))
E = 0.605
The 95% confidence interval estimate of the popilation mean is:
m - E <u <m + E
16.2 - 0.605 <u <16.2 + 0.605
15,595 <u <16,805
(15,595, 16,805)
Answer:
Linear Objective Function
Answer:
See below.
Step-by-step explanation:
Squaring a number means to multiply the number by itself.
For example, 3^2 means 3 * 3.
8^2 means 8 * 8.
(-6)^2 means (-6) * (-6).
In each case above, you see that the number that is squared is multiplied by itself.
In this case, (-4.5)^2, squaring the number -4.5, means multiply the number -4.5 by the number -4.5
(-4.5)^2 = (-4.5) * (-4.5)
Now we need to actually multiply -4.5 by -4.5
When you multiply a negative number by a negative number, the result is positive, so the product of -4.5 and -4.5 is a positive number. To find that number, you multiply 4.5 by 4.5
4.5 * 4.5 = 20.25
Therefore, (-4.5)^2 = 20.25
Answer:
Step-by-step explanation:
We can use the process of elimination as
5x + 4y = 24
5(x + 7y = 11) —> 5x + 35y = 55
5x + 4y = 24
-(5x + 35y = 55)
—————————
-31y = -31
-31y/-31 = -31/-31
y=1
