There we have an information of two functions
Using this two functions , we need to find the composition of functions (h\circ g)(t).
The composition of two functions h and g is the new function , by performing g first and then performing h.
Composition of h and g (t) =
First plugin the value of
We know that , we need to find h(3t+3),
That is, to replace t by 3t+3,
Now distribute 2 into 3t+3,
Now plug in
Thus the solution is (D).
Answer:
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
(0.3672 , 0.7328)
Step-by-step explanation:
<u><em>Explanation:</em></u>-
Given Random sample size n =40
Sample proportion
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
The Z-value Z₀.₉₈ = Z₀.₀₂ = 2.326
98% confidence interval of the true proportion of all Americans who celebrate Valentine's Day
( 0.55 - 0.1828 , 0.55 + 0.1828)
(0.3672 , 0.7328)
Answer:
0.91517
Step-by-step explanation:
Given that SAT scores (out of 1600) are distributed normally with a mean of 1100 and a standard deviation of 200. Suppose a school council awards a certificate of excellence to all students who score at least 1350 on the SAT, and suppose we pick one of the recognized students at random.
Let A - the event passing in SAT with atleast 1500
B - getting award i.e getting atleast 1350
Required probability = P(B/A)
= P(X>1500)/P(X>1350)
X is N (1100, 200)
Corresponding Z score =