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.
T us assume the two numbers to be "x" and "y".
Then
2x + y = 310
And
x - y = 55
Let us take the second equation and find the value of x in relation to y.
x - y = 55
x = y + 55
Now let us put the value of x in the first equation, we get
2x + y = 310
2(y + 55) + y = 310
2y + 110 + y = 310
3y = 310 - 110
3y = 200
y = 200/3
= 66 2/3
Now putting the value of y in the second equation, we get
x - y = 55
x - (200/3) = 55
3x - 200 = 55 * 3
3x = 165 + 200
x = 365/3
= 121 2/3
So the value of x is 121 2/3 and the value of y is 66 2/3
Answer:
51
Step-by-step explanation:
sum of exterior angles = 360
64 + 60 + 69 + 42 + x + x +23 = 360
2x + 258 = 360
2x = 360 - 258
2x = 102
x = 51
9514 1404 393
Answer:
B. Up 1 and 2 to the left
Step-by-step explanation:
The second graph (blue) is up 1 and 2 left of the first graph (red).
__
You can compare the given equations to the form ...
y = a(x -h)^2 +k
For the first graph, we have (h, k) = (6, -1).
For the second graph, we have (h, k) = (4, 0).
Then the amount added to the first to make the second is ..
(4, 0) -(6, -1) = (-2, 1) . . . . . . a translation 2 left and 1 up
