Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 2 is in this form with slope m = 3
• Parallel lines have equal slopes, hence
y = 3x + c ← is the partial equation of the parallel line
To find c substitute (10, 1) into the partial equation
1 = 30 + c ⇒ c = 1 - 30 = - 29
y = 3x - 29 ← in slope- intercept form
Subtract y from both sides
0 = 3x - y - 29 ( add 29 to both sides )
29 = 3x - y, thus
3x - y = 29 ← in standard form → B
Answer:
Step-by-step explanation:
<u><em>
Options are:
</em></u>
- <em>2 feet
</em>
- <em>3 feet
</em>
- <em>9 feet
</em>
- <em>15 feet
</em>
- <em>19 feet
</em>
- <em>21 feet
</em>
- <em>30 feet</em>
<em>-------------------------------------</em>
Use the triangle inequality theorem: sum of any two side must be greater than the third side by length
- 2 feet ⇒ no, as 2 + 9 < 12
- 3 feet ⇒ no, as 3 + 9 = 12
- 9 feet ⇒ yes
- 15 feet ⇒ yes
- 19 feet ⇒ yes
- 21 feet ⇒ no, as 9 + 12 = 21
- 30 feet ⇒ no, as 9 + 12 < 30
Answer:
Skewed to the left.
Step-by-step explanation:
The left side of the graph is at 2 and is 4 units from the middle at 6. The right side of the graph is at 9 and is 3 units from the middle. As such the graph is skewed left since it is a greater distance from the left to the center.
Answer:
μy = $6.56 ; σy = 2.77
Step-by-step explanation:
Given the data :
Mean μx= $8.56
Standard Deviation σx ≈ 2.77
Profit, Y on pizza with current promo :
Price off on pizza = $2
Y = x - 2
μx = E(x) = $8.56
μy = μ(x - 2)
μy = μx - $2
μy = $8.56 - $2
μy = $6.56
For the standard deviation of y
σx ≈ 2.77
σy = σ(x - 2)
σy = σx - 2
Constants are treated as 0 for standard deviation
σy = 2.77
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