John is deciding on how many lecture courses to take for his first semester. If three courses are worth 12 credits and five cour
2 answers:
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Answer:
Multiplying and simplifying the term we get
Option C is correct option.
Step-by-step explanation:
We need to multiply and simplify:
Simplifying the term:
While multiplying, the variables with same bases are multiplied:
In the given question only x^2 and x^4 are variables with same bases, So we get:
So, multiplying and simplifying the term we get
Option C is correct option.
Answer:
If the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 15 minutes
Sample size, n = 10
Alpha, α = 0.05
Population standard deviation, σ = 4 minutes
First, we design the null and the alternate hypothesis
Since the population standard deviation is given, we use one-tailed z test to perform this hypothesis.
Formula:
Now,
Thus, we would reject the null hypothesis if the z-statistic is greater than this critical value.
Thus, we can write:
Thus, the decision rule would be if the observed sample mean is greater than 17.07 minutes, then we would reject the null hypothesis.
Answer:
Whereby circle P can be obtained from circle
O by applying the transformations of a translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4,
O is similar to
P
Step-by-step explanation:
The given center of the circle O = (-2, 7)
The radius of O, r₁ = 5
The given center of the circle P = (12, -1)
The radius of P, r₂ = 12
The similarity transformation to prove that O and
P are similar are;
a) Move circle O 14 units to the right and 8 units down to the point (12, -1)
b) Apply a scale of S.F. = r₂/r₁ = 12/5 = 2.4
Therefore, the radius of circle O is increased by 2.4
We then obtain O' with center at (12, -1) and radius r₃ = 2.4×5 = 12 which has the same center and radius as circle
P
∴ Circle P can be obtained from circle
O by applying similarity transformation of translation of T₍₁₄, ₋₈₎ followed by a dilation by a scale factor of 2.4,
O is similar to
P.