Answer:
The ideal mechanical advantage (IMA) is 
.
Step-by-step explanation:
The ideal mechanical advantage is the ratio of length of longer lever 
to that of shorter lever 
IMA 
Please refer to the image attached.
We could see that the the resistance load moves 
cm towards the fulcrum so the distance of resistance load from fulcrum 
Now the as the effort force moves 
towards the fulcrum overall distance from the fulcrum to the effort force (load) 
Plugging the values of the distances in IMA formula we can have.
IMA 
.
So the IMA of the fulcrum (simple machine) 
The standard equation for a circle with center at (h,k) and radius r is
(x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle.
The formula for the circumference of a circle is C = 2pi*r. In this particular problem, we need to determine the radius of the circle. That radius is: r = C/[2pi]. Here, C = 22pi, so we get r = 22pi/[2pi], and so r^2 = 11^2.
Putting to use the given info, we have:
(x+14)^2 + (y-5)^2 = 11^2
If you divide both by 11, you get 7/9. 7/9 is the fraction in simplest form.
Answer:
Yes, there is evidence to support that claim that instructor 1 is more effective than instructor 2
Step-by-step explanation:
We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in instructor quality, then the difference in proportions will be zero. That makes the null hypothesis
H0: p1 - p2 = 0
The question is asking whether instructor 1 is more effective, so if he is, his proportion will be larger than instructor 2, so the difference would result in a positive number. This makes the alternate hypothesis
Ha: p1 - p2 > 0
This is a right tailed test (the > or < sign always point to the critical region like an arrowhead)
We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.645.
If our test statistic falls in this region, we will reject the null hypothesis.
<u>See the attached photo for the hypothesis test and conclusion</u>
Answer:
you would need 18 tablespoons
Step-by-step explanation:
12--->72, so 3--->18
you are multiplying it by 6
