4(2x+5)-8 = 36
8x+20-8 = 36
8x = 24
x = 3
Answer:
Lara's share = 25000
Step-by-step explanation:
Partnership's income = 50,000
Lara's guaranteed payment = 20,000
As the Income 50,000 is larger than Lara's guaranteed payment i.e 20,000. Since Lara is 50% partner so she will receive half the amount of the partnership's income.
Partnership's Income = 50,000
Half of Partnership's income = 50,000/2
= 25,000
Therefore, Lara's distributive share is 25,000.
!!
Answer:
-33.2
Step-by-step explanation:
Answer:
-4 ± 2√6
Step-by-step explanation:
Rewritten in standard quadratic form, x^2+8x-2=18 becomes x^2 + 8x - 20 = 0.
Here the quadratic coefficients are a = 1, b = 8 and c = -20 and so the discriminant is b^2 - 4ac, or 8^2 - 4(1)(-20), or 96.
Because the discriminant is positive, we know that this quadratic has two different real roots. These roots are:
-b ± √(b² - 4ac)
x = -------------------------
2a
which in this case comes out to:
-8 ± √96 -8 ± 4√6
x = ------------------ = ------------------- = -4 ± 2√6
2 2
Answer:
Option B) Reject null hypothesis
Step-by-step explanation:
We are given the following in the question:
We are given the null hypothesis:
Two tailed z-test
Now, 
Since,
The calculated z-statistic does not lie in the acceptance region, we fail to accept and reject the null hypothesis.
Left-tailed z-test
Now, 
Since,
We fail to accept and reject the null hypothesis.
Right-tailed z-test
Now, 
Since,
We fail to accept and reject the null hypothesis.
