A=90 degrees divide by 5
=18 degrees
2c+a=90
2c+18=90
2c=90-18
2c=72
divide each side by 2
c=36
therefore:
2c=72
b=4a+c
b=4(18)+36
b=72+36
b=108
First computer takes x min. For 1 min it does 1/x part of work.
Second computer takes (x+24) min. For one min it does 1/(x+24) part of work.
Both computers for one min do (1/x+1/(x+24)) part of work.
At the same time, both computers for one min do 1/9 part of work.
Answer:
answer iss ( -2 , 0 )
Step-by-step explanation:
Answer:
A)σ_M = 1.2634
B) CI = (36.564, 41.516)
C) σ_M = 0.1151
Step-by-step explanation:
A) Formula for standard error is;
σ_M = σ/√n
We are given;
Mean; x¯ = 39.04
Standard deviation; σ = 11.51
Sample size; n = 83
Thus;
Standard error; σ_M = 11.51/√83
σ_M = 1.2634
B) formula for confidence interval is;
CI = x¯ ± z(σ_M)
z is critical value
At 95% Confidence interval, z = 1.96
Thus;
CI = 39.04 ± 1.96(1.2634)
CI = (39.04 + 2.476) and (39.04 - 2.476)
CI = (36.564, 41.516)
C) sample size is now increased to 10000
Thus,standard error is calculated as;
σ_M = 11.51/√10000
σ_M = 0.1151