Answer:
36°
Step-by-step explanation:
3+5+8°+10+6= 36°
<em>Hope</em><em> </em><em>this</em><em> </em><em>helps</em><em> </em>
Answer:
95% confidence interval for the mean number of months is between a lower limit of 6.67 months and an upper limit of 25.73 months.
Step-by-step explanation:
Confidence interval is given as mean +/- margin of error (E)
Data: 5, 15, 12, 22, 27
mean = (5+15+12+22+27)/5 = 81/5 = 16.2 months
sd = sqrt[((5-16.2)^2 + (15-16.2)^2 + (12-16.2)^2 + (22-16.2)^2 + (27-16.2)^2) ÷ 5] = sqrt(58.96) = 7.68 months
n = 5
degree of freedom = n-1 = 5-1 = 4
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (t) corresponding to 4 degrees of freedom and 5% significance level is 2.776
E = t×sd/√n = 2.776×7.68/√5 = 9.53 months
Lower limit of mean = mean - E = 16.2 - 9.53 = 6.67 months
Upper limit of mean = mean + E = 16.2 + 9.53 = 25.73 months
95% confidence interval is (6.67, 25.73)
Answer:
$21.80
Step-by-step explanation:
50% of 38 is 19. 10% of 38 is 3.8. Add these together to get 21.8. This equates to $21.80.
the local maximum is at x = -2.2 and has a value of 72.576
Answer:
484 feet maximum
Step-by-step explanation:
H(t)=-16t^2+112t+288
The maximum height occurs at the vertex of this graph.
Let us find the vertex.
vertex x-coordinate = -b/2a
x = -b/2a = -(112)/ (2*-16) = 7/2 sec.
H(7/2) = - 16 *(7/2)^2 + 112*(7/2) + 288
H(7/2) = -196 + 392 + 288 = 484 feet ..
