Answer:
Oliver paid a total of $363.
Step-by-step explanation:
The total amount paid by Oliver on this dinner is given by the cost of their lunch (275) plus the tax (12%) plus the tip (20%). So in order to calculate this value we first need to know how much was paid in tax and the tip, these calculations are shown bellow:
tax = 275*12% = 275*(12/100) = 33
tip = 275*20% = 275*(20/100) = 55
So the total amount paid was:
total = 275 + 33 + 55 = $363
Oliver paid a total of $363.
The intercepts and the standard form of each polynomial are listed below:
- x-Intercept: x = - 4 or x = 6, Standard form: f(x) = x² - 2 · x - 24, y-Intercept: f(0) = - 24
- x-Intercept: x = 1 / 4 or x = 3, Standard form: f(x) = 2 · x² - 10 · x + 12, y-Intercept: f(0) = 12
<h3>How to find the intercepts and the standard form of quadratic equations</h3>
In this case we need to find the intercepts of each quadratic equation and transform each quadratic equation into standard form. The x-intercept correspond with each of the roots of the polynomial and the y-intercept is found by evaluating the expression at x = 0.
Now we proceed to find each element:
Case 1
x-Intercept
x = - 4 or x = 6
Standard form
f(x) = (x + 4) · (x - 6)
f(x) = x² - 2 · x - 24
y-Intercept
f(0) = - 24
Case 2
x-Intercept
x = 1 / 4 or x = 3
Standard form
f(x) = (2 · x - 4) · (x - 3)
f(x) = 2 · (x - 2) · (x - 3)
f(x) = 2 · (x² - 5 · x + 6)
f(x) = 2 · x² - 10 · x + 12
y-Intercept
f(0) = 12
To learn more on quadratic equations: brainly.com/question/1863222
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Subtract 0.75x from both sides
1.25x-0.75x = 0.5x
0.5x= 50
Divide 0.5 from both sides
X= 100
Answer:
-4.317
Step-by-step explanation:
The z test statistic for testing of 1-proportion can be computed as
We know that
phat=x/n.
We know that x=40 and n=120.
Thus,
phat=40/120=0.3333
p=hypothesized proportion=0.53
q=1-p=1-0.53=0.47
So, required z-statistic is
z=-4.317.
Thus, the required test statistic value for given hypothesis is z=-4.317.
