Answer: 4.8 gallons to 7.6 gallons (appex)
Step-by-step explanation:
The equation of parabola is y = 3x²- 12x+ 15.
<u>Step-by-step explanation:</u>
The equation of the parabola is given as y = x².
If it has a vertex then the equation can be written as,
y = a(x-h)² + k
where (h, k ) is the vertex and a is the stretching or compressing factor.
So here the vertex is (2,3) and it is vertically stretched by 3.
So the equation is given as,
y = 3(x-2)² + 3
y = 3(x² -4x+4) + 3
= 3x² - 12x + 12 + 3
y = 3x²- 12x+ 15 is the equation of the parabola.
Answer:
-3x - 7
Step-by-step explanation:
-3x - 6 - 1 = -3x - 7
8x-41+9x+17= 180 (becuase they lie on a straight line)
17x-24=180
Move twenty four to the other side as a positive
17x=204
Divide both sides by 17
X is equal to 12
Answer:
<u>Alternative Hypothesis:H₁:</u><em> μ ≠ 0.41</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the newscast reaches 41% of the viewing audience in the area
The mean of the Population = 0.41
Given that In a survey of 100 viewers, 36% indicated that they watch the late evening news on this local CBS station
Given that the mean of the sample = 0.36
<u><em>Step(ii):-</em></u>
<u><em>Null hypothesis:</em></u><em> The sample statistic does not differ significantly from the hypothetical parameter value.</em>
<em>Given data </em>
<em>Null hypothesis: H₀ : μ = 0.41</em>
<u>Alternative Hypothesis:</u><em> Any hypothesis which is complementary to the Null hypothesis</em>
<u>Alternative Hypothesis:H₁:</u><em> μ ≠ 0.41</em>
<em> </em>
