Answer:
The answer to your question is
x = -2 and y = 10 or x = 10 and y = -2
Step-by-step explanation:
x + y = 8 (1) from (1) x = 8 - y
xy = - 20 (2)
Solve them by substitution
(8 - y) y = - 20
8y - y² = -20
y² - 8y - 20 = 0
( y - 10) (y + 2) = 0
y - 10 = 0 and y + 2 = 0
<u> y1 = 10 </u> <u>y2 = -2</u>
x1 = 8 - 10 x2 = 8 - -2
<u>x1 = -2</u> <u> x2 = 10</u>
Answer:
X = -10/6
X = -1,666666666666667
Step-by-step explanation:
First at all you join the X's
18x-12x = 14-24
Then you simplified:
6x = -10
X = -10/6
X = -1,666666666666667
If you buy ' N ' of each item, then you'll pay 3.99N for brushes,
21.79N for cans of paint, and 6.89N for rollers.
The question assures us that you bought the same number of
each item. So your total bill at the hardware store checkout is
3.99N + 21.79N + 6.89N
= N (3.99 + 21.79 + 6.89)
= 32.67 N .
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50
Step-by-step explanation:
From the question we are told that
The sample size is n = 64
The average price is 
The population standard deviation is 
The level of significance is 
The population mean is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=>
=> 
From the z table the area under the normal curve to the left corresponding to 1.75 is

Generally p-value is mathematically represented as

=> 
=> 
From the values obtained we see that
hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the average room price is significantly different from $108.50