Answer:
m<C = 36.87degrees
Step-by-step explanation:
Solve for the approximate measure of angle C.
From the given diagram;
AC is the hypotenuse
BC is adjacent to <C
Cos m<C = adj/hyp
Cos m<C = BC/AC
Cos m<C = 20/25
Cos m<C = 0.8
m<C = arccos (0.8)
m<C = 36.87degrees
Answer:
6 inches of tape
Step-by-step explanation:
To find the total amount of tape that Marge used, you can take the measure of each piece (
) and multiply by the total number of pieces cut (16):
So, Marge used 6 inches of tape altogether.
Hello!
The volume of the square pyramid is approximately 
____________________________________________________________
V = 
First, we must find the area of the square base.
A = l * w
A = 3.5 * 3.5
A = 12.25 km^2
The area of the base is 12.25 km^2. Now, multiply the base area by the perpendicular height. Then divide by 3.
V = (12.25 * 4.7) / 3
V = 19.1916666667
V ≈ 19.19 km^3
Answer:
P(≥ 7 males) = 0.0548
Step-by-step explanation:
This is a binomial probability distribution problem.
We are told that Before 1918;
P(male) = 40% = 0.4
P(female) = 60% = 0.6
n = 10
Thus;probability that 7 or more were male is;
P(≥ 7 males) = P(7) + P(8) + P(9) + P(10)
Now, binomial probability formula is;
P(x) = [n!/((n - x)! × x!)] × p^(x) × q^(n - x)
Now, p = 0.4 and q = 0.6.
Also, n = 10
Thus;
P(7) = [10!/((10 - 7)! × 7!)] × 0.4^(7) × 0.6^(10 - 7)
P(7) = 0.0425
P(8) = [10!/((10 - 8)! × 8!)] × 0.4^(8) × 0.6^(10 - 8)
P(8) = 0.0106
P(9) = [10!/((10 - 9)! × 9!)] × 0.4^(9) × 0.6^(10 - 9)
P(9) = 0.0016
P(10) = [10!/((10 - 10)! × 10!)] × 0.4^(10) × 0.6^(10 - 10)
P(10) = 0.0001
Thus;
P(≥ 7 males) = 0.0425 + 0.0106 + 0.0016 + 0.0001 = 0.0548
