Check the picture below
so, the volume will then be, the product of the area of the triangle and the height of the prism, and as you know, the area of the triangle is 1/2bh
Answer: 7 days
Step-by-step explanation:
Camille and Hiroki have decided to start walking for exercise. Camille is going to walk 7 miles the first day and 3 miles each day after that. Hiroki is too busy to walk on the first 2 days, so he decides to walk 5 miles each day until he has walked the same number of miles as Camille.
Camille will walk x days, so: 7 + 3(x-1) miles
Hiroki will walk the same miles, but 2 days less so: 5(x-2)
same amount of miles:
5(x-2) = 7 + 3(x-1)
5x - 10 = 7 + 3x - 3
5x - 3x = 10 + 7 - 3
2x = 14
x = 7
If Camille and Hiroki will have walked the same number of miles, how many days will Camille have walked?
Camille will have walked 7 days.
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.