Answer:In the following figure, each circle is tangent to the other two circles, and the ... What is the ratio of the shaded region to the nonshaded region? A. 1:01 B. 4:05 C. 5:04 D. 4:π E. π:4. ... The shaded circles are identical, so the radius of a shaded circle is half that of the large circle. As a result, the radius of the large circle is 2x
Answer:the answer is c
Step-by-step explanation:
Correct question is;
Rosters Chicken advertises "lite" chicken with 30% fewer calories than standard chicken. When the process for "lite" chicken breast production is in control, the average chicken breast contains 450 calories, and the standard deviation in caloric content of the chicken breast population is 20 calories. Rosters wants to design an X-chart to monitor the caloric content of chicken breasts, where 25 chicken breasts would be chosen at random to form each sample. a) What are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target? b) What are the limits with three standard deviations from the target? Upper Control Limit (UCL)calories (enter your response as an integer).
Answer:
A)UCL = 466
LCL = 434
B)UCL = 462
LCL = 438
Step-by-step explanation:
We are given;
Mean;μ = 450
Standard deviation; σ = 20
Sample size; n = 25
A) We are told that these limits are chosen to be four standard deviations from the target.. This means that z-value = 4.
Thus, upper control limit will be the formula;
UCL = μ + 4σ/√n
UCL = 450 + 4(20)/√25
UCL = 450 + 16
UCL = 466
Lower control limit will be;
LCL = μ - 4σ/√n
LCL = 450 - 4(20)/√25
LCL = 450 - 16
LCL = 434
B) We are now told that these limits are chosen to be three standard deviations from the target.
Thus, z = 3
So;
UCL = μ + 3σ/√n
UCL = 450 + 3(20)/√25
UCL = 450 + 12
UCL = 462
Lower control limit will be;
LCL = μ - 3σ/√n
LCL = 450 - 3(20)/√25
LCL = 450 - 12
LCL = 438
Answer:
There are 12 quarters and 16 dimes
Step-by-step explanation:
Firstly, we need to know that a quarter is worth $0.25 while a dime is worth $0.10
There are 4 more dimes than quarters;
So if there are x quarters, there are x + 4 dimes
From the question we can get;
0.25(x) + 0.1(x + 4) = 4.6
0.25x + 0.1x + 0.4 = 4.6
0.35x = 4.6-0.4
0.35x = 4.2
x = 4.2/0.35
x = 12
X + 4 = 12 + 4 = 16
Answer:
160 in.
Step-by-step explanation:
10 * 16 = 160
