Answer:
(2, -5)
Step-by-step explanation:
Convert to vertex form:
3x^2 - 12x + 7
= 3(x^2 - 4x) + 7
Completing the square:
= 3[ (x - 2)^2 - 4)] + 7
= 3(x - 2)^2 - 12 + 7
= 3(x - 2)^2 - 5.
Comparing with the general form
a(x - b)^2 + c we see that the vertex is (b, c) = (2, -5).
Answer: 25 1/3 or 25.33333...
Step-by-step explanation: 3 + 25 = 28 - 9 = 19 / 3 = 6.333 x 4 = 25.333...
Answer:
it might go like A= 12 B= 0 C = -6
Answer:
the sum of 27,28,29,30 is 114
Step-by-step explanation:
Answer:
t=5.5080( to 3 d.p)
Step-by-step explanation:
From the data given,
n =20
Deviation= 34/20= 1.7
Standard deviation (sd)= 1.3803(√Deviation)
Standard Error = sd/√n
= 1.3803/V20 = 0.3086
Test statistic is:
t = deviation /SE
= 1.7/0.3086 = 5.5080
ndf = 20 - 1 = 19
alpha = 0.01
One Tailed - Right Side Test
From Table, critical value of t =2.5395
Since the calculated value of t = 5.5080 is greater than critical value of t = 2.5395, the difference is significant. Reject null hypothesis.
t score = 5.5080
ndf = 19
One Tail - Right side Test
By Technology, p - value = 0.000
Since p - value is less than alpha , reject null hypothesis.
Conclusion:
From the result obtained it can be concluded that ,the data support the claim that the mean rating assigned to the wine when the cost is described as $90 is greater than the mean rating assigned to the wine when the cost is described as $10.
