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:perpendicular
Step-by-step explanation:
The one line goes down while the other goes up at the same rate
Answer:
y = 2√5.
Step-by-step explanation:
Consider the smallest triangle.
Applying Pythagoras theorem:
y^2 = x^2 + 2^2
The smallest and larger triangle (the one with one side = 8) are similar so we have the proportions :
x/2 = 8/x
---> x^2 = 16
---> x = 4.
Therefore , substituting for x in the first equation:
y^2 = 4^2 + 2^2
---> y^2 = 20
---> y = √20
---> y = 2√5.
Answer:
60 / 120 is terminating, the rest are repeating.
Answer:
Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour. Now let's say you rode your bike at a rate of 10 miles per hour for 4 hours.