Answer:
And the critical value for the significance level used is:
Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent
Step-by-step explanation:
For this case we want to test the following hypothesis:
Null hypothesis: College graduation status and cola preference are independent
Alternative hypothesis: College graduation status and cola preference are dependent
For this case we got a calculated statistic of:
And the critical value for the significance level used is:
Since the calculated value is less than the critical value we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the College graduation status and cola preference are independent
Work the information to set inequalities that represent each condition or restriction.
2) Name the
variables.
c: number of color copies
b: number of black-and-white copies
3)
Model each restriction:
i) <span>It
takes 3 minutes to print a color copy and 1 minute to print a
black-and-white copy.
</span><span>
</span><span>
3c + b</span><span>
</span><span>
</span><span>ii) He needs to print
at least 6 copies ⇒
c + b ≥ 6</span><span>
</span><span>
</span><span>iv) And must have
the copies completed in
no more than 12 minutes ⇒</span>
3c + b ≤ 12<span />
4) Additional restrictions are
c ≥ 0, and
b ≥ 0 (i.e.
only positive values for the number of each kind of copies are acceptable)
5) This is how you
graph that:
i) 3c + b ≤ 12: draw the line 3c + b = 12 and shade the region up and to the right of the line.
ii) c + b ≥ 6: draw the line c + b = 6 and shade the region down and to the left of the line.
iii) since c ≥ 0 and b ≥ 0, the region is in the
first quadrant.
iv) The final region is the
intersection of the above mentioned shaded regions.v) You can see such graph in the attached figure.
<h2>
Area of rectangular board is 1920000 square millimeters</h2>
Step-by-step explanation:
A rectangular board is 1.6 meters long and 1.2 meters wide.
Here we need to find the area of the board in square millimeters.
Length = 1.6 m= 1.6 x 1000 = 1600 mm
Width = 1.2 m= 1.2 x 1000 = 1200 mm
Area = Length x Width
Area = 1600 x 1200
Area = 1920000 square millimeters
Area of rectangular board is 1920000 square millimeters
Answer:
Ruby’s function notation V(h) describes the volume of the pool after h number of hours. Hours is the independent variable and the total volume is the dependent variable.
Step-by-step explanation:
sample response
77 million to 200.2 millionFrom 77 million it becomes 200.2 million.It is very noticeable that it increased we only need to identify the number that has increased.=> 200.2 - 77 million = 123.2 millionNow, let's find the increase rate:=> 123.2 million / 200.2 million = 0.62Now let's convert this to percentage=> 0.62 * 100% = 62%<span>
</span>
