Answer:
Age | Believe | Not believe | Total
<45 | 0.148 | 0.422 | 0.570
>45 | 0.301 | 0.129 | 0.430
Step-by-step explanation:
We have to construct a probability matrix for this problem.
Of the people surveyed, 57% were under age 45. That means that 43% is over age 45.
70% of the ones who were 45 or older, believe the Social Security system will be secure in 20 years.
The Believe proportion is 51%.
Then, the proportion that believe and are under age 45 is:
We can now construct the probability matrix for one respondant selected randomly:
Age | Believe | Not believe | Total
<45 | 0.148 | 0.422 | 0.570
>45 | 0.301 | 0.129 | 0.430
Answer:
The cellphone towers height is 1020 ft.
Step-by-step explanation:
This question is solved using proportions, by a rule of three.
A 10-ft post casts a 14-inch shadow.
Each feet has 12 inches, which means that a post with 10 feet will cast a 14/12 = 1.167 ft shadow. How tall is the cell-phone tower with a 119-feet shadow?
10 feet post - 1.167 ft shadow
x feet tower - 119 feet shadow
Applying cross multiplication:
The cellphone towers height is 1020 ft.
Answer:
When x = 1, (f◦g)(x) is -2.
Step-by-step explanation:
Composite function:
The composite function of f and g is given by:
In this question:
Composite function:
The composite function is:
At x = 1
So
When x = 1, (f◦g)(x) is -2.