For the given points to lie on the parabola,
a = -3 and k = 10.
An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix).
According to the question,
Equation of parabola : y = a
+ k
Points A(1,7) and B(4,-2)
For the points to lie on the parabola,
7 = a
+k
7 = a + k
Similarly,
-2 = a
+ k
-2 = 4a + k
On solving the two equations simultaneously, we get,
a = -3
k = 10
Learn more about parabolas here:
brainly.com/question/4061870
#SPJ1
Answer:
The probability that at least one of them is careful about personal information is 0.9744.
If the survey subjects volunteered to respond, then this a voluntary sampling and the estimated probability p may be biased, as only the people interested in the topic participate.
Given the subject of the survey, it is estimated that the ones who answered the survey are more careful about personal information and then the propability p is biased to a higher level than it should be if the sample was random.
Step-by-step explanation:
We can model this with a random variable, with sample size n=4 and probability of success p=0.6.
The probability that k individuals are more careful about personal information when using a public Wi-Fi hotspot in the sample is:

We have to calculate the probability that 1 or more are more careful about personal information when using a public Wi-Fi hotspot. This can be calculated as:

The probability that 1 or more individuals in the sample are more careful about personal information when using a public Wi-Fi hotspot is 0.9744.
Answer:
(6,-1)
Where the two liner lines intersect