Answer:
Patricia is 47 years old
Sharla is 55 years old
Step-by-step explanation:
Rewrite the first sentence as an equation: (S= Sharla) (P= Patricia)
S=P+8
Rewrite the second sentence as an equation:
S+P=102
1) Substitute P+8 as Sharla in the second equation:
P+8+P=102
2) Combine alike terms:
2P+8=102
3) Subtract 8 from both sides:
2P=94
4) Divide both sides by 2:
P=47
5) Substitute 47 as P in the <u>First</u> equation:
S=47+8
6) Solve:
S=55
Answer:
Hence the value of the test statistic is 0.780.
Step-by-step explanation:
Given:
Test Statistic:-
Answer:
- number of multiplies is n!
- n=10, 3.6 ms
- n=15, 21.8 min
- n=20, 77.09 yr
- n=25, 4.9×10^8 yr
Step-by-step explanation:
Expansion of a 2×2 determinant requires 2 multiplications. Expansion of an n×n determinant multiplies each of the n elements of a row or column by its (n-1)×(n-1) cofactor determinant. Then the number of multiplies is ...
mpy[n] = n·mp[n-1]
mpy[2] = 2
So, ...
mpy[n] = n! . . . n ≥ 2
__
If each multiplication takes 1 nanosecond, then a 10×10 matrix requires ...
10! × 10^-9 s ≈ 0.0036288 s ≈ 0.004 s . . . for 10×10
Then the larger matrices take ...
n=15, 15! × 10^-9 ≈ 1307.67 s ≈ 21.8 min
n=20, 20! × 10^-9 ≈ 2.4329×10^9 s ≈ 77.09 years
n=25, 25! × 10^-9 ≈ 1.55112×10^16 s ≈ 4.915×10^8 years
_____
For the shorter time periods (less than 100 years), we use 365.25 days per year.
For the longer time periods (more than 400 years), we use 365.2425 days per year.
Answer:
200.96 sq. meters.
Step-by-step explanation:
The formula for the area of a circle is \pi r^(2). To solve for the area, use the given values, pi is 3.14 and the radius is 18. This gives you the new equation of (3.14)(18)^2. Solve algebraically, first raising the radius to the power of 2, and then multiplying.
