Answer to problem 1 is (-4, 4)
Answer to problem 3 is (2, 2)
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Explanation:
When the center of a dilation is the origin (0,0), we simply multiply the scale factor by each coordinate.
For problem 1, point U is located at (-2,2). Multiply each coordinate by the scale factor 2 (since it says "dilation of 2") to get (-4,4)
For problem 3, we multiply 0.5 by each coordinate of the point U(4, 4) getting to U ' (2,2)
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The dilation rule used here is where k is the scale factor or dilation factor. This rule only applies if the center of dilation is (0,0). For other centers, you'll need to apply a translation first, dilate, then translate back again.
If k > 1, then the point moves further away from the origin.
If 0 < k < 1, then the point moves closer to the origin.
Answer:
There are spectators in the soccer stadium.
Step-by-step explanation:
From this statement, we can calculate the number of spectators in a soccer stadium by dividing the amount of bacteria among the spectators in a soccer stadium by the amount of bacteria in the human body. That is:
There are spectators in the soccer stadium.
Answer:
Step-by-step explanation:
Given that evolution theory hypothesizes that people should spontaneously follow a 24-hour cycle of sleeping and wakingdash–even if they are not exposed to the usual pattern of sunlight.
Sample size n = 8
df = 8- 1=7
Since population std deviation is not known, and sample size is small we can use only t test
(two tailed test at 5% level of significance)
24
28
24
22
25
26
26
25
mean 25
sd 3.142857143
se 1.111167799
Test statistic = Mean diff/se = 1.595
p = 0.1546
since p >0.05, accept null hypothesis.
There is no evidence to prove that the steady cycle is different from 24 hours.