Answer and Step-by-step explanation:
we have the following data:
Point estimate = sample mean = \ bar x = 12.39
Population standard deviation = \ sigma = 3.7
Sample size = n = 177
a) the margin of error with a 90% confidence interval
α = 1 - 90%
alpha = 1 - 0.90 = 0.10
alpha / 2 = 0.05
Z \ alpha / 2 = Z0.05 = 1,645
Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)
we replace:
E = 1.645 * (3.7 / \ sqrt177)
Outcome:
E = 0.46
b) margin of error with a 99% confidence interval
α = 1-99%
alpha = 1 - 0.99 = 0.01
alpha / 2 = 0.005
Z \ alpha / 2 = Z0.005 = 2,576
Margin of error = E = Z \ alpha / 2 * (\ sigma / \ sqrtn)
we replace:
E = 2,576 * (3.7 / \ sqrt177)
Outcome:
E = 0.72
c) A larger confidence interval value will increase the margin of error.
Answer:
3 and 10
Step-by-step explanation:
3 plus 10 equals 13
3 times 10 equals 30
Substitute -3 for x in the expression
f(x)= 53 - 2x
f(-3)= 53 - 2(-3)
multiply -2 * -3
f(-3)= 53 + 6
add
f(-3)= 59
ANSWER: f(-3)= 59
Hope this helps! :)
Answer:
c = 29
Step-by-step explanation:
Law of sines is given as: 
B = 180 - (57 + 44) = 79°
b = 41
C = 44°
c = ?
Thus:
Substitute
Multiply both sides by sin 44
c = 29.0140633 ≈ 29
Answer:
The answer to your question is 12.5 %
Step-by-step explanation:
Data
Total points = 168
Points scored in the regular season = 147
Percent of points scored in the playoff game = ?
Process
1.- Calculate the points scored in the playoff game
Points in playoff game = 168 - 147
= 21
2.- Calculate the percent of points scored in the playoff game using proportions
168 points -------------------- 100%
21 points --------------------- x
x = (21 x 100) / 168
x = 2100 / 168
x = 12.5 %
