(x+4)(x-4) =0
x +4 = 0
x = -4
x - 4 =0
x = 4
answers , x = -4 and x=4
Answer:
We conclude that there has been a significant reduction in the proportion of females.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 400
p = 50% = 0.5
Alpha, α = 0.05
Number of women, x = 118
First, we design the null and the alternate hypothesis
This is a one-tailed test.
Formula:
Putting the values, we get,
Now, we calculate the critical value.
Now, 
Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.
Thus, there has been a significant reduction in the proportion of females.
Answer:
The total amount Alex spent is $ 9
Step-by-step explanation:
The given parameters are;
The amount Alex spends on food = 2/3 of his paycheck
The amount Alex spends on coffee = $3
Therefore, we have;
Fraction of the paycheck spent on coffee = 1 - 2/3 = 1/3 of p
The amount Alex spends on coffee = 1/3 of his paycheck
Therefore, we have;
1/3 × p = $3
p = 3 × $3 = $9
The total amount Alex spent = $ 9
The amount Alex spends on food = 2/3 × $9 = $6.
89.3% is the correct answer for this equation.
Answer:
0
Step-by-step explanation:
1) Multiply the first equation by -3: -6x - 3y = 12
2) Substitute 2x + 12 for -3y in the above equation, obtaining:
-6x + 2x + 12 = 12
Then -4x = 0, and x = 0. Letting x = 0 in the first equation, we get:
0 + y = -4, so y = -4.
The x-value at the intersection of the lines is zero (0).
That intersection is at (0, -4).
