A Function is defined as the relation between the input and the output where one input can have only one output
When graphing functions, the x-axis denotes the inputs and the y-axis denotes the output of the function
Looking at the graph, we see that for one input (point on the x-axis) we have only one output (point on the y-axis)
Hence, we can say that this graph represents a function
Answer:
(a) x > 4 (b) y < -2
Step-by-step explanation:
Domain is referring to the x-values while the range is referring to the y-values.
Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.
The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.
Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.
Answer:
Your que. isn't very clear. Should there be a graph or diagram? Please confirm
Answer:
56.4
Step-by-step explanation:
To convert decimal number 86.25, we convert its integer and fraction part individually and then add them to get the equivalent hexadecimal number, as below:
To convert integer 86 to hexadecimal, follow these steps:
Divide 86 by 16 keeping notice of the quotient and the remainder. Continue dividing the quotient by 2 until you get a quotient of zero.
Then just write out the remainders in the reverse order to get the equivalent hexadecimal number.
86 / 16 = 5 with remainder 6
5 / 16 = 0 with remainder 5
Here is the answer to 86 decimal to hexadecimal number:
56
For converting decimal fraction 0.25 to hexadecimal number, follow these steps:
Multiply 0.25 by 16 keeping notice of the resulting integer and fractional part. Continue multiplying by 16 until you get a resulting fractional part equal to zero (we calcuclate upto ten digits).
Then just write out the integer parts from the results of each multiplication to get equivalent hexadecimal number.
0.25 × 16 = 4 + 0
Here is the answer to 0.25 decimal to hexadecimal number:
0.4
Therefore, decimal number 86.25 converted to hexadecimal is equal: 56.4
Answer:
71.123 mph ≤ μ ≤ 77.277 mph
Step-by-step explanation:
Taking into account that the speed of all cars traveling on this highway have a normal distribution and we can only know the mean and the standard deviation of the sample, the confidence interval for the mean is calculated as:
≤ μ ≤ 
Where m is the mean of the sample, s is the standard deviation of the sample, n is the size of the sample, μ is the mean speed of all cars, and 
is the number for t-student distribution where a/2 is the amount of area in one tail and n-1 are the degrees of freedom.
the mean and the standard deviation of the sample are equal to 74.2 and 5.3083 respectively, the size of the sample is 10, the distribution t- student has 9 degrees of freedom and the value of a is 10%.
So, if we replace m by 74.2, s by 5.3083, n by 10 and 
by 1.8331, we get that the 90% confidence interval for the mean speed is:
≤ μ ≤ 
74.2 - 3.077 ≤ μ ≤ 74.2 + 3.077
71.123 ≤ μ ≤ 77.277
