Answer:
The answer to your question is 23.42 ft
Step-by-step explanation:
Data
base = 6 ft
height = 4 ft
Process
1.- Calculate the length of the rectangle. Only consider the base and the left and right sides.
Length = 6 + 4 + 4
Length = 14 ft
2.- Calculate the Perimeter of the semicircle
Formula
Perimeter = 2πr/2 = πr
-Calculate the radius
radius = 6/2 = 3 ft
-Find the perimeter
Perimeter = 2(3.14)(3)/2
-Result
Perimeter = 9.42 ft
3.- Calculate the perimeter of the window
Perimeter = 14 + 9.42
= 23.42 ft
Answer:
x = 4.6439
Step-by-step explanation:
2^x =25
Take the log of each side
log 2^x = log 25
We know that log a^b = b log a
x log 2 = log 25
Divide each side by log 2
x = log 25 / log 2
x =4.643856
Rounding to 4 decimal places
x = 4.6439
1: 14 ft
2: 18
3: 11; 28
4: 8; 96
5: a = 5x3
6: a = 8x8
7: 1x42, 2x21, 3x14, and 6x7. 6x7 probably makes the most sense.
15x=1000 you get x=1000/15 which is approximately 67
Answer:
71.123 mph ≤ μ ≤ 77.277 mph
Step-by-step explanation:
Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:
≤ μ ≤ 
Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and
is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.
the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.
So, if we replace m by 74.2, s by 5.3083, n by 10 and
by 1.8331, we get that the 90% confidence interval for the mean speed is:
≤ μ ≤ 
74.2 - 3.077 ≤ μ ≤ 74.2 + 3.077
71.123 ≤ μ ≤ 77.277