answer is C. 252 ft^2
split the figure into two pieces and first figure out the rectangle (shown in turquoise).
If you multiply the width and length (18*6) you should get 108.
Then figure out the trapezoid (in magenta). the formula is (a+b)/2*h where a and b are the bases and h is the height. the bases are given, 6 and 18. to find the height, subtract the entire figure's height by 6, which is 18-6 and gives us 12. so the formula converted to this problem is (6+18)/2*12. simplify parenthesis and get 24/2*12. 24/2=12, so multiply 12*12. The area of the trapezoid is 144. Add the areas of both figures together and get 252.
Percent decrease. 41%
percent change= (new-old)/old *100
= -41 % the negative means decreasing
Answer:
Step-by-step explanation:
We want to determine a 95% confidence interval for the mean mean test score of students.
Number of sample, n = 25
Mean, u = 81.5
Standard deviation, s = 10.2
For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z score ×standard deviation/√n
It becomes
81.5 ± 1.96 × 10.2/√25
= 81.5 ± 1.96/× 2.04
= 81.5 ± 3.9984
The lower end of the confidence interval is 81.5 - 3.9984 =77.5
The upper end of the confidence interval is 81.5 + 3.9984 = 85.5
Therefore, with 95% confidence interval, the mean test score of students is between 77.5 and 85.5
Answer:
@xy and xy
Step-by-step explanation:
like terms means same variable with similar powers
Answer:
V = 1184ft³
Step-by-step explanation:
Volume for Cube
we multiple l*w*h
4x4x4 = 64ft*3 area
Volume for rectangle
we multiple length of the rectangle side first with h
Surface area rectangle = 16 x 7 = 112ft ^2 (=70+42)
Then we multiply it with width 112 x 10 = 1120ft^3
Then we add together the cube V total + Rectangle V total.
64 + 1120= 1184ft^3