Let
an ------> <span>the scale size of the font
we have that
a1=1
a2=1.5
a3=2.25
a4=?
a2/a1=1.5/1=1.5
a3/a2=2.25/1.5=1.5
the scale factor is 1.5
so
a4=a3*1.5------> a4=2.25*1.5------> a4=3.375
the answer is
3.375</span>
Answer:

The degrees of freedom are :


Since the p value is a very high value is higher than the typical values for the significance level (0.05,0.1) so then we have enough evidence to FAIL to reject the null hypothesis and there is no enough evidence to conclude that the true difference in the means is different from 0. And the best conclusion would be:
d. There is not enough evidence to conclude the mean difference in pulse rates before and after the 5 minute waiting period is different from 0.
Step-by-step explanation:
We are interested to check if the true difference in pulse rates before and after after 5 minute waiting period is 0 or no so then the system of hypothesis are:
Null hypothesis: 
Alternative hypothesis:
We have the following data given:
sample mean for the difference
the sample size
sample standard deviation
The statistic is given by:

And replacing we got:

The degrees of freedom are :

Since we are conducting a bilateral test te p value would be given by:

Since the p value is a very high value is higher than the typical values for the significance level (0.05,0.1) so then we have enough evidence to FAIL to reject the null hypothesis and there is no enough evidence to conclude that the true difference in the means is different from 0. And the best conclusion would be:
d. There is not enough evidence to conclude the mean difference in pulse rates before and after the 5 minute waiting period is different from 0.
Answer:
yards because it can't be squared if its a circle
Step-by-step explanation:
(10 / 10000)<span> * 100 = 0.1 fluid oz.
</span>
Answer:
Dimensions: 125 m x 250 m
Area: 31,250 m²
Step-by-step explanation:
Given information:
- Total amount of fencing = 500m
- Only 3 sides of the land need to be fenced
First, let us assume that the land is <u>rectangular</u> in shape.
Let
= length of the side opposite the river
Let
= length of the other 2 sides of the land
Therefore, we can create two equations from the given information:
<u>Area of land</u>: 
<u>Perimeter of fence</u>: 
Rearrange the equation for the perimeter of the fence to make y the subject:

Substitute this into the equation for Area:

To find the value of x that will make the area a <em>maximum</em>, <u>differentiate</u> A with respect to x:

Set it to zero and solve for x:

Substitute the found value of x into the original equation for the perimeter and solve for y:

Therefore, the dimensions that will give Christine the maximum area are:
125 m x 250 m (where 250 m is the side opposite the river)
The maximum area is:
