Answer:
1. 12
2. the prism with a length of 7 1/2 will have a shorter width, with a width of 6
Answer:
40 girls
Step-by-step explanation:
Set up a proportion where x is the number of girls in band class:
= 
Cross multiply and solve for x:
3x = 120
x = 40
So, there were 40 girls in band class.
We have the following function that is a
quadratic function:
So the graph of this function is shown in the figure below. This is a <em>parabola</em> as you can see. The roots of this functions, that is, the x-intercepts are:

As you can see in the figure. This function decreases from

and increases from

Finally, another thing we can see from the graph is that the vertex is the point:
Answer:
The p value for this case would be given by:
Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.
Step-by-step explanation:
Information provided
represent the sample mean
represent the population deviation
sample size
represent the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
We want to test if the true mean is at least 20 ounces, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
The p value for this case would be given by:
Since the p value is higher than the significance level provided we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly less than 20 ounces.
Answer:
B) 628.32 cm cubed
Step-by-step explanation:
we know the formula to find the volume of a cylinder is π*r^2*h
where r is the radius and h is the height.
the equation would look like this
π*5^2*8
π*25*8
π*200
628.32 cm