Answer:
592.83
Step-by-step explanation:
Rectangle - 36x20=720
semi-circle=1/2x3.14x9x9=127.17
720-127.17=592.83
Answer:
Radius = 14 units
Center = ( 6, 8)
Step-by-step explanation:
The correct equation is ,
=> (x-6)² + (y-8)² = 196
=> (x-6)² + (y-8)² = 14²
- Compare to Standard form , which is ,
=> ( x - h)² + ( y - k)² = r²
- ( h , k ) is Center
- r is radius
Hence on comparing we have,
- Radius = 14 units
- Center = ( 6, 8)
Answer:
25 seconds
Step-by-step explanation:
360/15=24 meters per second
3000/24=125 seconds
Answer:
16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.
Step-by-step explanation:
We are given that the breaking strength of its most popular porcelain tile is normally distributed with a mean of 400 pounds per square inch and a the standard deviation of 12.5 pounds per square inch.
Let X = <u><em>the breaking strength of its most popular porcelain tile</em></u>
SO, X ~ Normal()
The z score probability distribution for normal distribution is given by;
Z = ~ N(0,1)
where, = mean breaking strength of porcelain tile = 400 pounds per square inch
= standard deviation = 12.5 pounds per square inch
Now, probability that the popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch is given by = P(X > 412.5)
P(X > 412.5) = P( > ) = P(Z > 1) = 1 - P(Z 1)
= 1 - 0.84 = <u>0.16</u>
Therefore, 16% of its popular porcelain tile will have breaking strengths greater than 412.5 pounds per square inch.
Answer:
S=-17
Step-by-step explanation:
-8s+4=-7s+21
-8S+7S=21-4
-S=17
S=-17