The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Z score is given by:
z = (raw score - mean) / standard deviation
Given mean of 36 minutes and a standard deviation of 3 minutes.
For x = 32:
z = (32 - 36)/3 = -1.33
For x = 37:
z = (37 - 36)/3 = 0.33
P(-1.33 < z < 0.33) = P(z < 0.33) - P(z < -1.33) = 0.6179 - 0.0198 = 0.5981
The probability that a randomly selected customer will have to wait between 32 minutes and 37 minutes is 59.81%
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Answer: yes it has a proportional relationship
Step-by-step explanation: Well yes it is proportional because it goes through the orgin and that is what it is if it goes through the orgin (0,0) it means it has a proportional relationship hope this helped:)
Answer:
$46,053
Step-by-step explanation:
- Convert 29% into a decimal, which is 0.29.
- Multiply $35,700 by 29% as a decimal (0.29), which is 10,353.
- Since the keyword is more, we want to add $35,700 and 10,353 (29% of $35,700). The answer will be $46,053.
Answer:
when high-energy particles from the Sun bounce off Earth’s magnetic field
Answer:
<em>Rajan must use </em><em>0.75</em><em> liters of 5% hydrochloric acid solution and </em><em>0.25</em><em> liters of 45% hydrochloric acid solution.</em>
Step-by-step explanation:
Let us assume that, x liters of the 5% hydrochloric acid and y liters of the 45% hydrochloric acid solutions are combined.
As Rajan need total of 1 liter of solution, so
i.e
--------------------1
As Rajan needs 5% hydrochloric acid and 45% hydrochloric acid to make a 1 liter batch of 15% hydrochloric acid, hence acid content of the mixture of two acids will be same as of the final one, so
![0.05x+0.45y=1\times 0.15](https://tex.z-dn.net/?f=0.05x%2B0.45y%3D1%5Ctimes%200.15)
i.e
-------------2
Putting value of x from equation 1 in equation 2,
![\Rightarrow 5(1-y)+45y=15](https://tex.z-dn.net/?f=%5CRightarrow%205%281-y%29%2B45y%3D15)
![\Rightarrow 5-5y+45y=15](https://tex.z-dn.net/?f=%5CRightarrow%205-5y%2B45y%3D15)
![\Rightarrow 5+40y=15](https://tex.z-dn.net/?f=%5CRightarrow%205%2B40y%3D15)
![\Rightarrow 40y=15-5=10](https://tex.z-dn.net/?f=%5CRightarrow%2040y%3D15-5%3D10)
![\Rightarrow y=0.25](https://tex.z-dn.net/?f=%5CRightarrow%20y%3D0.25)
Putting the value of y in equation 1,
![x=1-0.25=0.75](https://tex.z-dn.net/?f=x%3D1-0.25%3D0.75)
Therefore, Rajan must use 0.75 liters of 5% hydrochloric acid solution and 0.25 liters of 45% hydrochloric acid solution.