Answer:
Step-by-step explanation:
Given
Tower one = 15.6 cm
Tower two = 18.3 cm
Tower 3 = 13.9 cm.
Required:
Height of the 4th tower
Represent a cube by X; a cylinder by Y and a hexagonal prism by Z
Tower one, a cube with a hexagonal prism = X + Z = 15.6
Tower two, a cube with a cylinder = X + Y = 18.3
Tower 3, a hexagonal prism with a cylinder = Z + Y = 13.9
----- Equation 1
----- Equation 2
----- Equation 3
Subtract equation 1 from 2
---- Equation 4
Add Equation 4 to Equation 3
Divide both sides by 2
Substitute in Equation 2 and 3
----- Equation 2
Subtract 8.3 from both sides
----- Equation 3
Subtract 8.3 from both sides
So, we have that
The question states that the 4th tower is made up of the three shapes;
This implies that;
The height of the 4th tower is 23.9cm
Answer:
<h2>5 + 3w + 3 - w = 2w + 8</h2>
Step-by-step explanation:
The probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.
Given mean of 30 minutes and standard deviation of 7.5 minutes.
In a set with mean d and standard deviation d. , the z score is given as:
Z=(X-d)/s.
where d is sample mean and s is standard deviation.
We have to calculate z score and then p value from normal distribution table.
We have been given d=30, s=7.5
p value of Z when X=44 subtracted by the p value of Z when X=16.
When X=44,
Z=(44-30)/7.5
=14/7.5
=1.87
P value=0.9686
When X=16
Z=(16-30)/7.5
=-1.87
P Value=0.0314.
Required probability is =0.9686-0.0314
=0.9372
=93.72%
Hence the probability that a randomly selected individual will have a waiting time between 16 and 44 minutes is 93.72%.
Learn more about z test at brainly.com/question/14453510
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