The picture in the attached figure
[surface area of the composite solid]=1*(4*6)+2*(4*4)+2*(4*6)+2*(4*√13/2)+2*(6*2√2/2)
[surface area of the composite solid]=24+32+48+4√13+12√2
[<span>surface area of the composite solid]=135.39 yd</span>²
the answer is135.39 yd²
Answer:
75 degrees
Step-by-step explanation:
Complementary angles equal 90 degrees together. That is the case with angle X and Y. Set an equation to describe the situation.
Y=1/5X
X=5Y
Now, set another equation:
X+Y=90
Substitute the first equation into the second one.
5Y+Y=90
6Y=90
Y=15
Substitute this once again:
X+15=90
X=75
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:
B) Graph B only.
Step-by-step explanation:
Table A is not correct, because:
In Y = 2X, replacing each row:
3 =/= 2 x 2
6 =/= 2 x 4
9 =/= 2 * 6
Table B is correct, because:
When Y is 2, X is 1 which is equal to 2x1.
When Y is 4, X is 2 which is equal to 2x2.
Answer:
1. YES, BECAUSE WITH TAX, IT WOULD BE 9.88
2. MOVE THE DECIMAL OVER TO THE LEFT BY ONE PLACE
ANSWER IS 5.356
Step-by-step explanation:
IF TAX IS 13% YOU MULTIPLE 8.75 BY 1.13. YOU GET 1.13 FROM THE ORIGINAL PRICE PLUS .13 IN TAX.