The answer is (3, -7). If the function is written in the form y = a(x –
h)^2 + k, the vertex will be (h, k). Let's write the function 8x^2 – 48x
+ 65 in the form of a(x – h)^2 + k. g(x) = 8x^2 – 48x + 65. g(x) = 8x^2
– 48x + 72 - 72 + 65. g(x) = (8x^2 – 48x + 72) - 7. g(x) = (8 * x^2 – 8
* 6x + 8 * 9) - 7. g(x) = 8(x^2 - 6x + 9) - 7. g(x) = 8(x - 3)^2 - 7.
The function is now in the form a(x – h)^2 + k, where a = 8, h = 3, and k
= -7. Thus, the vertex is (3, -7).
Step-by-step explanation:
We have proportion p = 50/100 = 0.50
Probability of success = 1-0.50 = 0.50
To conduct simulation, let's assume experiment is to be done 10 times
1. Use binomial parameters n, number = 10, p = 0.50. we then get the necessary size of population To carry out the sampling.
2. We get a random sample and get the size of people who support an against smoking with kids in the car.
3. We repeat this process after drawing sample and also get the number of those in support of ban.
4. After getting n, we find proportion.
Area of cone = 1/3 base × height = 1/3 × 8 × 10 = approximately 26.7 m
Ans= approx. 26.4 m
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PQ = 2 units
height = 4 units
area = 2*4 = 8/2 = 4 square units
Answer: C. The temperature decreased by 6 degrees.
Step-by-step explanation:
From the question, we are informed that over a period of 4 hours, the outside temperature changed by an average of –1.5 per hour. The change over the 4 hours period will be:
= -1.5 × 4
= -6 hours.
The shows that the temperature decreased by 6 degrees.
