Answer:
formula: 2πrh
Step-by-step explanation:
2πrh= 2×π×4×5≈125.66371
Answer:
Simplify
![Q-[R+S]-T](https://tex.z-dn.net/?f=Q-%5BR%2BS%5D-T)
The answer is:

Step-by-step explanation:
We have the expressions:

Now, we need simplify:
![Q-[R+S]-T](https://tex.z-dn.net/?f=Q-%5BR%2BS%5D-T)
We need to replace each term by the expressions:
![7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)](https://tex.z-dn.net/?f=7m%2B3n-%5B%2811-2m%29%2B%28n%2B5%29%5D-%28-m-3n%2B8%29)
We need to remember the rule of signs:



With this in mind we solve the parentheses:
![7m+3n-[(11-2m)+(n+5)]-(-m-3n+8)](https://tex.z-dn.net/?f=7m%2B3n-%5B%2811-2m%29%2B%28n%2B5%29%5D-%28-m-3n%2B8%29)
![7m+3n-[11-2m+n+5]+m+3n-8](https://tex.z-dn.net/?f=7m%2B3n-%5B11-2m%2Bn%2B5%5D%2Bm%2B3n-8)

let's group common terms

We must add and subtract common terms:

The answer is:

Answer:
15.87%
Step-by-step explanation:
Notice that the mean of 0.35 inches with a standard deviation of 0.01 gives you when you add (to the right of the distribution), exactly 0.36. Since you want to find the probability (or percentage) of the bolts that have diameter LARGER than 0.36 in, that means you want to estimate the area under the Normal distribution curve from 0.36 to the right). See attached image.
We can use the tables of Z distribution for that, or the standard normal tables:
P(x>0.36) = P(z>(0.36-0.35)/0.01) = P(Z>1) = 0.1587 = 15.87%
The sum of the angles of the triangle is 180 degrees, so:
(x + 70) + 76 + 41 = 180
(x + 70) + 117 = 180
x + 70 = 63
x = -7
Hope that helps!
The theoretical probability of getting heads or tails is 1/2 the time.
1/2 of 150 = 75
So theoretically you would get 75 heads and 75 tails.
The experiment got 84 heads, which is greater than 75, so it would be higher than the theoretical probability.
The answer is : <span>It is 6% higher than the theoretical probability.</span>