To evaluate the probability that a randomly selected day will be between 28 and 34 minutes we proceed as follows:
P(28<x<34)
First we evaluate the z-score for the above values:
z=(x-σ)/μ
μ=26.7
σ=5.1
when:
x=28
z=(28-26.7)/5.1
z=0.26
P(z<0.26)=0.6026
when x=34
z=(34-26.7)/5.1
z=1.43
P(z<1.43)=0.9236
hence:
P(28<x<34)=0.9236-0.6026=0.321~32.1%
Answer: 0.014
Step-by-step explanation: 5 divided by 18!
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:
107 degrees
Step-by-step explanation:
For an inscribed quadrilateral, the opposite angles are supplementary. Thus, B+D = 180 and you can solve for x.
3x+9+2x-4 = 180
5x = 175
x = 35
Next, plug the x value into angle A.
2(35) + 3 = 73
Angle C is the supplement of this which is 180-73 = 107