Answer:
2,090,000
Step-by-step explanation:
Area = Area of Chile + Area of Bosnia
Area of Chile = 2*1000000
Area of Bosnia = 9*10000
Area = 2,000,000 + 90,000
Area = 2,090,000
Answer: So, we know that the internal angles of a triangle add up to 180 degrees, yes?
60 degrees plus 50 degrees equals 110 degrees, and subtract 110 from 180, and you get 70 degrees for angle y.
Now, if the triangles are congruent (identical) and the shape you are describing is like an hourglass, then because of the vertical angles theorem, angle x should be 70 degrees too!
Brainliest please if I am correct! and hope it helped.
Answer:
a. We fail reject to the null hypothesis because zo = -5.84 < 1.65 = zα and P-value = 1 (approximately)
b. The confidence Interval for u1 - u2 is; 6.79 ≤ u1 - u2
c. The power of the test = 1 -
β = 0.998736
d. The sample size is adequate because the power of the test is approximately 1
Step-by-step explanation:
Given
Standard Deviations; σ1 = σ2 = 1.0 psi
Size: n1 = 10; n2 = 12
X = 162.5; Y = 155.0
Let X1, X2....Xn be a random sample from Population 1
Let Y1, Y2....Yn be a random sample from Population 2
We assume that both population are normal and the two are independent.
Therefore, the test statistic
Z = (X - Y - (u1 - u2))/√(σ1²/n1 + σ2²/n2)
See attachment for explanation
Since we want it in the form: (x - a)², let's first expand (x - a)² and then equate for the coefficients.
(x - a)² = x² - 2ax + a²
x² + 4x - 15 = x² - 2ax + a²
Now, let's focus on the middle term.
4x = -2ax
4 = -2a
a = -2
Thus, we know that a = -2
Then, we can say (x + 2)² = x² + 4x - 15
x² + 4x + 4 = x² + 4x - 15
Thus, 19 units are needed in order to complete the square to produce:
(x + 2)²
