Divide 63 by 21 and you get 3 so the simplest form is 1/3
Answer:
x = 3 or x = -1/4
Step-by-step explanation:
from (x-3)(4x+1) = 0
We can see that a * b = 0
so a = 0 or b = 0
thus
x - 3 = 0 or 4x + 1 = 0
we solve x = 3 or x = -1/4
Answer:
The answer to this equation is D:6
Step-by-step explanation:
6+0.5(6-4(6))=2(0.25(6)-3) is true.
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.
The surface area of a right circular cone is SA =<span>
</span>
The diameter (d) is equal to 20 meters and half of it is equal to the radius which is 10 meters.
The height (h) of the tank is equal to 42 meters.
Substituting the given to the equation:
SA =
= 1670.51 square meters or the closest answer is 1,671 m2