180-11=169
its 180 because straight line
Answer: 24.67 ≤ μ ≤ 27.33
Step-by-step explanation:
From the information given: n = 81 students, Sample mean (x bar) = 26 and sample standard deviation (s) = 6.
Since the population standard deviation in unknown we use the student t distribution to estimate the mean. The mean is estimated as follows:
X bar - t (∝/2, n-1) x s/sqrt n ≤ μ ≤ X bar + t (∝/2, n-1) x s/sqrt n
Degrees of freedom, df = n - 1 = 81 - 1 = 80
∝ = 100 - 95 = 5% = 0.05 thus ∝/2 = 0.025
From the t distribution t (0.025,80) = 1.990
Substituting into the formula:
26 - 1.990 x 6/sqrt 81 ≤ μ ≤ 26 + 1.990 x 6/sqrt 81
24.67 ≤ μ ≤ 27.33
"Difference" means there are two numbers, and if you miss <em>that</em> clue, then
the next word, "between", should alert you to the fact that two numbers are
required. The difference between one number is a lot like one scissor, one
tweezer, one pant, and the sound of one hand clapping.
Answer:
2.5, 16,3,32
Step-by-step explanation:
9514 1404 393
Answer:
- 246 products in year 5
- 2017 products over 5 years
Step-by-step explanation:
The n-th term of the geometric series is ...
an = a1(r^(n-1))
for first term a1 and common ratio r. The common ratio here is the growth factor: 1 -20% = 0.8. This means the 5th term (5th year sales) will be ...
a5 = 600(0.8^(5-1)) ≈ 246 . . . . . products sold in year 5
The sum is given by ...
sn = a1(1 -r^n)/(1 -r) = 600(1 -0.8^5)/(1-0.8) = 2017
The company will have sold about 2017 products over 5 years.