Answer:
The overall average is $148,000
Step-by-step explanation:
120,000 740,00 divided by 5 is 148,000
120,000
120,000
190,000
+ 190,000
-------------
740,000
Answer:



Since the p value is lower than the significance level we have enough evidence to conclude that the true means are different at 5% of significance
Step-by-step explanation:
Data given
sample mean for group 1
sample mean for group 2
sample size for group 1
sample size for group 2
sample deviation for group 1
sample deviation for group 2
Solution
We want to check if the two means are equal so then the system of hypothesis are:
Null hypothesis: 
Alternative hypothesis: 
And the statistic is given by:

And replacing we got:

The degrees of freedom are given by:

And the p value would be:

Since the p value is lower than the significance level we have enough evidence to conclude that the true means are different at 5% of significance
Answer:
x²-5x+6
Step-by-step explanation:
The question is to find product in : x(x-2)+3(2-x)-----------(a)
Make terms in brackets same by introducing a negative sign as;
Collect like terms as : x(x-2) - 3 (x-2)------------ (b)
Note that expression (a) is similar to (b)
Factorize equation (b) as : (x-3)(x-2)
Distribute as : x(x-2) -3 (x-2 ) ------ x²-2x-3x+6
Collect like terms as: x²-5x+6
Final expression : x²-5x+6
Testing with x=5 in original expression
x(x-2)+3(2-x)
5(5-2)+3(2-5)
25-10+6-15
25+6-10-15
31-10-15=6
Using the final expression;
x²-5x+6
5²-5(5)+6
25-25+6
=6
Answer:
Length = 17, Width = 6
Step-by-step explanation:
Let the length be L and width be W.
L = 3W - 1 , and,
2(L + W) = 46 => L+W = 23 => L = 23 - W, putting this into L = 3W - 1
23 - W = 3W - 1
24 = 4W
W = 6
therefore, L = 23 - W = 17
More variables than equations