Answer:
(3, -2)
Step-by-step explanation:
The <em>midpoint</em> of two points is half-way between the x-values and the y-values.
The formula is
M = ((x₁ + x₂)/2, (y₁ + y₂)/2)
For the points (5,-5) and (1,1),
Half way between the x values is
(x₁ + x₂)/2 = (5 + 1) /2 = 6/2 = 3
Half way between the y values is
(y₁ + y₂)/2= (-5 + 1)/2 = -4/2 = -2
M = (3, -2)
The graph below shows your two points at (5,-5) and (1,1) and the mid-point at (3, -2).
Answer:
288 pi
Step-by-step explanation:
Answer:
0.077994
Step-by-step explanation:
Given that the owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club.
(Right tailed test)
Sample size = 
Sample mean = 30.45
Mean difference =
Sample std dev s = 5
Sample std error = 
Test statistic = Mean diff/std error = 
Since population std deviation is not know we use t test
p value = 
<u>Answer</u>
14 4/9
<u>Turn 9 2/3 into an Improper Fraction</u>
Multiply 9*3 and get 27. Now add 2 and get 29 (Denominator stays the same)
9 2/3 = 29/3
<u>Turn 4 7/9 into an Improper Fraction</u>
Multiply 4*9 and get 36. Now add 7 and get 43 (Denominator stays the same)
4 7/9 = 43/9
<u>Add</u>
29/3 + 43/9 = 130/9
<u>Turn 130/9 into a Mixed Number (Divide)</u>
130/9 = 14 4/9
Hope This Helps!
The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)
<h3>What inequality represents the figure</h3>
In accordance with the figure, we have an inequation of the form y ≥ f(x). Now we proceed to find the <em>quadratic</em> equation of the parabola:
f(x) = a · (x + 1) · (x - 9)
- 125 = a · (4 + 1) · (4 - 9)
- 125 = a · 5 · (- 5)
- 125 = - 25 · a
a = - 5
f(x) = 5 · (x + 1) · (x - 9)
f(x) = 5 · (x² - 8 · x - 9)
f(x) = 5 · x² - 40 · x - 45
The figure is represented by the inequality y ≥ 5 · x² - 40 · x - 45. (Correct choice: C)
To learn more on inequalities: brainly.com/question/17675534
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