<span>surface area=4π<span>r2</span>=2700 c<span>m2</span></span>
<span><span>r2</span>=<span>2700<span>4π</span></span>=<span>2700<span>4×3</span></span>=225</span>
<span>r=<span>225<span>−−−</span>√</span>=15</span>
<span><span>volume=<span>43</span>π<span>r3</span>=<span>43</span>×3×<span>153</span>=13500 c<span>m3</span></span></span>
Answer:
The mathematical sciences are a group of areas of study that includes mathematics.
Step-by-step explanation:
Answer:
LtoG
7.4072
7.608
7.67
7.7
Step-by-step explanation:
They will require between 18.42 and 31.58 minutes.
We want the middle 90%. The two probability values associated with this would be 0.95 and 0.05; this would leave 5% below and 5% above, giving us the middle 90%.
Using a z-table (http://www.z-table.com) we see that the z-score associated with an area to the left of 0.05 is between -1.64 and -1.65; since it is equally distant from both we will use -1.645.
The z-score associated with an area of the left of 0.95 is between 1.64 and 1.65; since it is equally distant from both we will use 1.645.
The formula for a z-score is
z = (X-μ)/σ
-1.645 = (X-25)/4
Multiplying by 4 on both sides,
-1.645(4) = X-25
-6.58 = X-25
Adding 25 to both sides,
-6.58+25 = X
18.42 = X
For the upper bound,
1.645 = (X-25)/4
Multiplying both sides by 4,
1.645(4) = X-25
6.58 = X-25
Adding 25 to both sides,
6.58+25 = X
31.58 = X
The times are between 18.42 and 31.58 minutes.
