Answer:
A. 1
Step-by-step explanation:
✔️To find f(g(1)), first find g(1).
From the mapping given for g(x), the corresponding value of x = 1, is 0.
That is,
g(1) = 0
✔️Next is to find f(g(1)) by replacing x with 0 in f(x) = 3√x + 1
Thus:
f(g(1)) = 3√0 + 1
f(g(1)) = 0 + 1
f(g(1)) = 1
Answer:
d) The difference exists due to chance since the test statistic is small
Step-by-step explanation:
From the given information:
Population mean = 178 cm
the sample mean = 177.5 cm
the standard deviation = 2
the sample size = 25
The null hypothesis and the alternative hypothesis can be computed as:
Null hypothesis:

Alternative hypothesis:

The t-test statistics is determined by using the formula:




Degree of freedom df = n- 1
Degree of freedom df = 25 - 1
Degree of freedom df = 24
At the level of significance ∝ = 0.05, the critical value = 2.064
Decision rule: To reject the null hypothesis if the test statistics is greater than the critical value at 0.05 level of significance
Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that the difference exists due to chance since the test statistic is small
Answer:D.54
Step-by-step explanation: it takes 20 minutes in the car which is 1/3 of an hr so 42/3= 14 then that leaves 40 minutes left for the train which is 2/3 of 60 and 60/3=20 and 20x2= 40 so 40+14=54
A) Look at the coordinates of the four dots:
(0,0) (150,50) (300,100) (450,150)
Divide the x's by the y's ( other than the (0,0) one:
150/50 = 3
300 / 100 = 3
450/150 = 3
The ratio is the same for all of them and the first set is (0,0) so it is a direct variation graph.
B) The constant of proportionality is the ratio found above by dividing the X values by the Y values, which is 3.
Answer:
2/6 = 1/3
Step-by-step explanation:
Make the denominators the same and minus them