Answer:
Amplitude = 2
Step-by-step explanation:
The amplitude of this sine wave is 2 denoted by the coefficient -2 in front of the sin(x). The negative of the coefficient denotes that the sine wave is the opposite of the standard sine wave.
Cheers.
Answer:
1. If you draw LMN in the first quadrant of the coordinate plane ( meaning if you draw where both x and y are positive), you will end up drawing L'M'N' in the third quadrant(where both x and y are negative) because the transformation rule of a 180° rotation is (x,y)→ (-x,-y). So for example, if L is (2,3), then, by the 180° rotation rule, L' would be (-2,-3) and that would apply to all the points.
2. When you draw a line through points L and L' or M and M' they create a straight line. In other words, they create a 180° angle. And yes, you would notice the same characteristic if you drew another line that goes through points N and N', and I know this because we use a 180° rotation, so it is going to create a 180° angle, which is a straight line. Another example is if we did a 90° rotation, when we connect points A and A' for example, it would create a 90° angle between the two points. So it's the same in this case but with a 180° rotation.
Step-by-step explanation: the explanation is on the answer.
hope this helps :)
52 square metres
Step-by-step explanation:
we can divide the pathway in to 2 parts to find the area
1st part
length = 12m
breadth = 2m
2nd part
length = 16-2 = 14
breadth = 2
area =
atlast add both areas
52 square metres
Answer:
The 95% confidence interval for true mean error is (4.57, 4.63).
Step-by-step explanation:
Let <em>X</em> = the number of errors of a billing program.
According to the Central limit theorem if a large sample (<em>n</em> > 30) is drawn from an unknown population then the sampling distribution of the sample mean will follow a Normal distribution with mean () and standard deviation ().
The sample size of the loans is, <em>n</em> = 1000.
The mean is, .
The standard deviation is,
The confidence interval for mean is:
The critical value of <em>z</em> for 95% confidence interval is:
**Use the <em>z</em>-table for critical values.
Compute the 95% confidence interval for true mean error as follows:
Thus, the 95% confidence interval for true mean error is (4.57, 4.63).
Answer:
the two numbers would be 28 and 17