Answer:
z=12
Step-by-step explanation:
It is given that x varies jointly as y and z, it means
where, k is the constant of proportionality.
It is given that x=8 when y=4 and z=9
Divide both sides by 36.
The value of k is 2/9.
We need to find the value of z when x=16 and y=6.
Substitute x=16 and y=6 in the above equation.
Multiply both sides by 3.
Divide both sides by 4.
Therefore, the value of z is 12.
Let me tell you a secret!
You know how the formula for Circumference is
<span>C = 2πr
</span>
Where r is the radius?
The reason why this formula works the way it does is because of what <span>π IS.
</span><span>π is the ratio of ANY circle's Circumference to it's Diameter.
So you can think of </span><span>π like this:
</span>
Circumference / Diameter.
2r is the same as the diameter. So what you are doing is canceling out the diameter. Similar to what you do in algebra I to solve for x. Then you are just left with the circumference. That's pretty neat!
So, let's get to it!
2<span>πr
</span>
Sadly, you'll most likely need to use a calculator for this problem, but if you are not permitted one then replace <span>π with 3.14.
</span>
What is r?
r = diameter / 2
r = 12 / 2
r = 6
2<span>π6
</span>
If you are allowed to use a calculator then plug it in to it. If not then start doing some long multiplication!
37.699ft
Anthony can conclude that the difference is significant, because a two minutes difference is not likely to happen by chance. In analyzing data, a statistically significant result is one which is not attributed to chance, that is, there is no way the event could have occur by chance.
Not a 100% positive this is the answer but i think it is 2.5
got this by dividing 30 by 12 and got 2.5
If you suposed to do 141.3 -pie then i got d but i kinda confused.. so it might be D .....
