Mean, x_bar = 1518
Standard deviation, sigma = 325
Range required: 1550 ≤ X ≤ 1575
Z = (X - x_bar)/sigma
Z1 = (1550-1518)/325 ≈ 0.1
Z2 = (1575-1518)/325 ≈ 0.18
From Z tables,
P(Z1) = 0.5398
P(Z2) = 0.5714
P(1550≤X≤1575) = P(Z2) - P(Z1) = 0.5714 - 0.5398 = 0.0316
The correct answer is C.
Answer:
7/2 is the slope and 5 is the y-intercept
Step-by-step explanation:
Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
7x-2y=-10
subtract 7x on both sides
-2y=-7x-10
divide by -2 on both sides
y=(7/2)x+5
7/2 is the slope and 5 is the y-intercept.
Answer:
y = 3x² - 42x + 144
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
here (h, k) = (7, - 3), thus
y = a(x - 7)² - 3
To find a substitute (9, 9) into the equation
9 = 4a - 3 ( add 3 to both sides )
12 = 4a ( divide both sides by 4 )
a = 3
y = 3(x - 7)² - 3 ← in vertex form
Expand factor and simplify
y = 3(x² - 14x + 49) - 3
= 3x² - 42x + 147 - 3
= 3x² - 42x + 144 ← in standard form
Answer:
B
Step-by-step explanation:
Given inequality is open at - 3 and closed at 4. Therefore the required inequality would be:

Thus, option B is the correct answer.
Answer: the blue rectangle one, the second green one or the pink one. hard to decide between the last two. good luck!
Step-by-step explanation:
learned in 2nd grade