1. PQR and is a right triangle, so you can calculate the measure of PQ by applying the Pythagorean Theorem. PR is the hypotenuse and QR and PQ are the legs:

2. PQS and is a right triangle too, so you can calculate the measure of PS by applying the Pythagorean Theorem as above. PS is the hypotenuse and PQ and QS are the legs:

Therefore, the answer is: The value of PS is 13.
Answer:
Cpk = Cpu = Cpl = 0.4785
Step-by-step explanation:
Solution:-
- The capability of a process is determined using the capability index ( Cpk ). The index helps in determining the output of the process lies within the specification limits.
- The key dimension on a product measure is:
105 ± 12 units
- Process is producing this product at a 6-sigma quality standards i.e ( process is producing this product has a standard deviation (σ) of three units.)
Where, Standard Error in measured value = 12 units.
- The process capability (Cpu) is defined based on the Upper Specification Limit of the process (USL):
Cpu = (USL - u) / 3σ
- The process capability (Cpl) is defined based on the Lower Specification Limit of the process (LSL):
Cpl = ( u - LSL) / 3σ
- Assume that the process is centered with respect to specifications, then the given absolute value of u = 105 units.
Where the specification limits are defined as:
LSL = u - SE = 105 - 12
LSL = 93 units
USL = u + SE = 105 + 12
USL = 117 units
- Now evaluate the Process capability on each of the two limits specification limits:
Cpu = (USL - u) / 3σ
Cpu = (117 - 105) / 3σ
Cpu = 4 / σ
Cpl = ( u - LSL) / 3σ
Cpl = ( 105 - 99 ) / 3σ
Cpl = 4 / σ
- The minimum of Cpu and Cpl is denoted as the Cpk value:
Cpk = min ( Cpu , Cpl )
Cpk = Cpu = Cpl = 4 / 8.36
Cpk = Cpu = Cpl = 4 / 8.36 = 0.4785
Answer:
Hello There!
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If you subtract the volume of the sphere from the cone, you'll get the volume you can fill with flavored ice. Right?


So that means, The volume left to put in flavored ice is :

So putting in the value for radius and height of the cone and radius of the sphere in the 2nd term will do the thing, I think.
.......
Okay, I think they didn't raise the power but wrote the exponent beside the number. It must be c. They wrote 32 so as to say 3^2 and wrote 0.553 to say (0.55)^3
So the answer is (C)
Hope this helped you. Brainliest would be nice!
For this case, the first thing we must do is define variables.
We have then:
d: number of dimes
q: number of quarters
We now write the system of equations that models the problem.
We have then:
He has a total of 30 coins:

The toal value of Kyles coins is $ 4.80:

Answer:
A system of equations that can be used to find the number of dimes, d, and the number of quarters, q, kyes has is:

