Answer:
x = -3
Step-by-step explanation:
2(4x + 6) = 8x + 12
3(x - 1) = 3x -3
8x + 12 = 3x - 3
5x = -15
x = -3
Answer:
P-value = 0.02275
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 12 kilograms
Sample mean,
= 11.5 kilograms
Sample size, n = 4
Alpha, α = 0.05
Population standard deviation, σ = 0.5 kilograms
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
We calculate the p-value from the standard z-table:
P-value = 0.02275
Mudando o sinal:
-16t² - 32t = 0
-16t*(t-2) = 0
16t = 0 --> t = 0
t-2 = 0 --> t = 2
3 days a week or Monday Tuesday Wednesday Thursday Friday
Answer:
Dimensions:
a = 630 yd
b = 210 yd
A = 132.300 yd²
Step-by-step explanation:
Dimensions of rectangular pasture
a and b and a = 3*b a is opposite side at the river, therefore
Area of rectangular pasture
A = a * b and perimeter of rectangular area ( with fencing material ) is
P = a + 2b or P = 3*b + 2*b ⇒ 1050 = 5*b
b = 1050 / 5 ⇒ b = 210 yd
And as a = 3*b ⇒ a = 3*210 ⇒ a = 630 yd
And the area is A = 630*210 = 132.300 yd²