Step-by-step explanation:
10×10+24×24= third side ×third side
third side ×third side =100+576
third side × third side=676
third side=√676
third side=26
Answer:
We are given the following in the question:
where P(x) in millions is the number of U.S. travelers from 1990 through 2009 and x = 1 represents 1991.
We have to approximate the number of U.S. travelers to other countries in each given year.
(a) 1990
We put x = 0 in the given function.
Thus, there are 48.09 millions U.S. travelers in 1990.
(b) 2000
We put x = 10 in the given function.
Thus, there are 56.888 millions U.S. travelers in 2000.
(c) 2009
We put x = 19 in the given function.
Thus, there are 31.085 millions U.S. travelers in 2009.
Step-by-step explanation:
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Answer:
The common ratio of a geometric series is \dfrac14
4
1
start fraction, 1, divided by, 4, end fraction and the sum of the first 4 terms is 170
The first term is 128
Step-by-step explanation:
The common ratio of the geometric series is given as:

The sum of the first 4 term is 170.
The sum of first n terms of a geometric sequence is given b;

common ratio, n=4 and equate to 170.


Answer:
the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378
Step-by-step explanation:
Given the data in the question;
the cumulative distribution function F(x) =
;
probability the person's reaction time will be between 0.9 and 1.1 seconds
P( 0.9 < x < 1.1 ) = P( x ≤ 1.1 ) - P( x ≤ 0.9 )
P( 0.9 < x < 1.1 ) = F(1.1) - F(0.9)
= [
] - [
]
we substitute
= [
] - [
]
= [
] - [
]
= [
] - [
]
= [ 1 - 0.1079796998 ] - [ 1 - 0.1457938 ]
= 0.8920203 - 0.8542062
= 0.0378
Therefore, the probability the person's reaction time will be between 0.9 and 1.1 seconds is 0.0378