(A)
P(<em>X</em> < 61.25) = P((<em>X</em> - 55.4)/4.1 < (61.25 - 55.4)/4.1)
… ≈ P(<em>Z</em> ≤ 0.1427)
… ≈ 0.5567
(B)
P(<em>X</em> > 46.5) = P((<em>X</em> - 55.4)/4.1 > (46.5 - 55.4)/4.1)
… ≈ P(<em>Z</em> > -2.1707)
… ≈ 1 - P(<em>Z</em> ≤ -2.1707)
… ≈ 0.9850
Answer:
The first and last graph.
General Formulas and Concepts:
<u>Algebra I</u>
- Solving systems of equations graphically
Step-by-step explanation:
In order for a systems of equations to have a solution set, the 2 graphs must intersect at at least 1 point. Here, we see that graphs 1 and 5 do not intersect each other at all.
Therefore, the rest of the graphs have solutions and #1 and #5 do no have any solutions.
Answer:
y = 3x
Step-by-step explanation:
x is number of cartons of eggs
y is cost
cost increases by 3 for every carton of eggs, so slope is 3
x and y intercepts are zero because there is no cost when there are no eggs
equation: y = 3x
Answer:
8.6
Step-by-step explanation:
This uses the Pythagorean Theorem
a^2 + b^2 = c^2
a = 5
b = 7
c = ?
5^2 + 7^2 = c^2
25 + 49 = c^2
74 = c^2
sqrt(c^2) = sqrt(74)
c = 8.60 which when rounded = 8.6
Answer:
x = 35
Step-by-step explanation:
You have to make both equation equal to each other.
4x+7 = 6x -63
subtract 6x and 7 from both sides sides
-2x = -70
divide -2 on both sides
x = 35
