Answer:
See attachment for detailed answer.
Step-by-step explanation:
Answer:
(2, -39)
Step-by-step explanation:
f(x)=-3(x+2)^2+9
f(2)=-3(2+2)^2+9
f(2)=-3(4)^2+9
f(2)=-3(4)(4)+9
f(2)=-3(16)+9
f(2)=-48+9
f(2)=-39
Answer:
85
Step-by-step explanation:
2x^3 + 3y^2 − 17
2(3)^3 + 3(4)^2 − 17
2*27 + 3*16 -17
54 + 48 -17 = 85
Answer:
The estimated average electric cost amount of all residents in Las Cruces = 182.9
Step-by-step explanation:
The bill amounts from the electric company for the month of July for 10 randomly selected houses from the map was obtained to be
135 265 215 103 156 203 125 156 230 241
Using the Central Limit theory, the mean of a sample extracted randomly from an independent distribution is approximately equal to the population mean of the independent distribution.
This means that the sample mean of a random sample extracted from the population is a good estimate of the population mean.
Sample mean ≈ Population mean
μₓ = μ
Mean = = (Σx)/N
The mean is the sum of variables divided by the number of variables
x = each variable
N = Sample size = 10
Σx = (135+265+215+103+156+203+125+156+230+241) = 1,829
Sample mean = (1,829/10) = 182.9
Population mean ≈ sample mean
Population mean ≈ 182.9
Hope this Helps!!!
Answer:
• c = √89 ≈ 9.434
• A = arcsin(8/√89) ≈ 57.995°
• B = arcsin(5/√89) ≈ 32.005°
Step-by-step explanation:
By the law of cosines, ...
c² = a² + b² -2ab·cos(C)
Since c=90°, cos(C) = 0 and this reduces to the Pythagorean theorem for this right triangle.
c = √(8² +5²) = √89 ≈ 9.434
Then by the law of sines (or the definition of the sine of an angle), ...
sin(A) = a/c·sin(C) = a/c = 8/√89
A = arcsin(8/√89) ≈ 57.995°
sin(B) = b/c·sin(C) = b/c = 5/√89
B = arcsin(5/√89) ≈ 32.005°
