Answer:
<em>Worker B needs 9 days to finish the rest of the work</em>
Step-by-step explanation:
<u>Proportions</u>
Worker A finishes a project on his own in 12 days and worker B does the same in 16 days.
Worker A does 1/12 of the project in one day and worker B does 1/16 of the project in one day. When working together, they do

After 3 days they have completed:

parts of the project, this means it still remains:

parts of the project and it is done by B alone. Since B does
per day, he now takes

days to complete the project.
Worker B needs 9 days to finish the rest of the work
Answer:
0.1
Step-by-step explanation:
Solving using empirical rule formula
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
Hence, the lower bound 95% =
μ - 2σ
Mean = 0.2
Standard deviation of 0.05
= μ - 2σ
= 0.2 - 2(0.05)
= 0.2 - 0.1
= 0.1
The lower bound is 0.1
Answer: y=-2x+5
Step-by-step explanation:
Answer:
z= 2.38
P = 0.008656
Step-by-step explanation:
Here n= 500 and p~= 464/500= 0.928 and q`= 1- 0.928 = 0.072
We formulate our null and alternate hypothesis as
H0 = 0.9 ; H0 > 0.9
The degree of confidence = 90%
z₀.₀₅ = 1.645 for α= 0.05
We use the test statistic
z= x- np/√npq
z= 466-500 *0.9/ √500 * 0.9(1-0.9)
z= 466- 450/ √45
z= 16/6.7082
z= 2.38
As the calculated value of z= 2.38 is greater than α =1.645 so we reject H0.
If H0 is true the P value is calculated as
P = 1- Ф( 2.38)
P = 1-0.991344=0.008656
Answer:
247,085 doctors in total
Step-by-step explanation:
55,100 = 22.3℅ ÷22.3
2,471 = 1℅
2471.85x100 = 247,085 doctors
To check I'll do 247,085÷100 = 2,470.85 = 1℅
2,470.85 × 22.3 = 55,099.955 which would round up to 51,000.