Answer:
2
Step-by-step explanation:
So we have the equation:
This is in the format point-slope form, where:
Here, m is the slope.
In our original equation, 2 replaces m.
Therefore, our slope is 2.
Answer: Thanks! It's alright!
Asher gave lemonade to 14 students
<em><u>Solution:</u></em>
Given that, A container has 12 and 
cups of lemonade
Asher gives each of his classmates 
of a cup of lemonade
To find: Number of classmates received the lemonade
From given question,
Total cups of lemonade = 
cups of lemonade received by each classmate =
Thus, number of classmates received the lemonade can be found by dividing total cups of lemonade by cups of lemonade received by each classmate
Thus Asher gave lemonade to 14 students
Answer:
95% confidence interval for the proportion of students supporting the fee increase is [0.767, 0.815]. Option C
Step-by-step explanation:
The confidence interval for a proportion is given as [p +/- margin of error (E)]
p is sample proportion = 870/1,100 = 0.791
n is sample size = 1,100
confidence level (C) = 95% = 0.95
significance level = 1 - C = 1 - 0.95 = 0.05 = 5%
critical value (z) at 5% significance level is 1.96.
E = z × sqrt[p(1-p) ÷ n] = 1.96 × sqrt[0.791(1-0.791) ÷ 1,100] = 1.96 × 0.0123 = 0.024
Lower limit of proportion = p - E = 0.791 - 0.024 = 0.767
Upper limit of proportion = p + E = 0.791 + 0.024 = 0.815
95% confidence interval for the proportion of students supporting the fee increase is between a lower limit of 0.767 and an upper limit of 0.815.
Answer:
x³ - 5x² + 81x - 405 = 0
Step-by-step explanation:
Complex roots occur in conjugate pairs.
Thus given x = - 9i is a root then x = 9i is also a root
The factors are then (x - 5), (x - 9i) and (x + 9i)
The polynomial is the the product of the roots, that is
f(x) = (x - 5)(x - 9i)(x + 9i) ← expand the complex factors
= (x - 5)(x² - 81i²) → note i² = - 1
= (x - 5)(x² + 81) ← distribute
= x³ + 81x - 5x² - 405, thus
x³ - 5x² + 81x - 405 = 0 ← is the polynomial equation
