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.
Volume of the box = length ^ 3 = 5^3 = 125 cubic inches
Volume of rectangular prism = length x width x height = 3 x 4 x 18 = 216 cubic inches
Volume of entire sculpture = volume of box + volume of rectangular prism = 125 + 216 = 341 cubic inches.
Answer:
SOLUTION STEPS
6
8
5
+−6
3
1
Multiply 6 and 8 to get 48.
8
48+5
−
3
6×3+1
Add 48 and 5 to get 53.
8
53
−
3
6×3+1
Multiply 6 and 3 to get 18.
8
53
−
3
18+1
Add 18 and 1 to get 19.
8
53
−
3
19
Least common multiple of 8 and 3 is 24. Convert
8
53
and
3
19
to fractions with denominator 24.
24
159
−
24
152
Since
24
159
and
24
152
have the same denominator, subtract them by subtracting their numerators.
24
159−152
Subtract 152 from 159 to get 7.
24
7
Step-by-step explanation: