(x-1)(x-1)
=x^2-x-x+1
=x^2-2x+1
(x+7)(x-7)
=x^2-7x+7x-49
=x^2-49
Step-by-step explanation:
do 425÷5 and you will get your answer
Answer:
Step-by-step explanation:
Volume of the space that is not occupied = Volume of cube shaped box - volume of soccer ball

Answer:
1) The value of c is given by

2) The value of k is given by

Step-by-step explanation:
Given that function g is defined by
, where c is a constant.
To find c:
Also given that value of g(x) at x=0.5 is equal to -1
ie., 
At x=0.5






Therefore 
2) Given that function h is defined by
, where k is a constant.
To find k:
Also given that value of h(x) at x=20 is equal to 65
ie., 
At x=20



Therefore 
Answer:
The 90% confidence interval for the true mean daily wage of all union workers in the industry is ($118.6, $125.4). The lower limit is $118.6 and the upper limit is $125.4.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 1.645.
Now, find the margin of error M as such

In which
is the standard deviation of the population and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 122 - 3.4 = $118.6
The upper end of the interval is the sample mean added to M. So it is 122 + 3.4 = $125.4
The 90% confidence interval for the true mean daily wage of all union workers in the industry is ($118.6, $125.4). The lower limit is $118.6 and the upper limit is $125.4.