Considering the sequences given, the first number that appears in both sequences is given by: 45.
<h3>What numbers appear in the first sequence?</h3>
The rule is multiply by 3 starting from 5, hence the numbers are:
(5, 15, 45, 135, ...).
<h3>What numbers appear in the second sequence?</h3>
The rule is add 9 starting from 18, hence the numbers are:
(18, 27, 36, 45, ...).
45 is the first number that appeared in both sequences.
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Answer:
28.26
Step-by-step explanation:
I hope this helps!
Answer:
The correct answer is 5 years i.e. 2008.
Step-by-step explanation:
Price of the automobile in 2003 is $32000.
Depreciation per year is given by $1740.
Therefore let the car value is depreciated for t number of years.
Value depreciated for t years is given by $ (1740t).
The final value of the car after t years is given to be $23300.
Thus the equation is given by 32000 - 1740t = 23300.
⇒ 1740t = 32000 - 23300
⇒ 1740t = 8700
⇒ t = 5
Thus after 5 years the value of the car is $23300.
Thus in 2008 the depreciated price of the car would be $23300.
Answer:
Step-by-step explanation:
B) S = {1,2,3,4,5,6}
n(S) = 6
B = factors of 2 when rolling a single die = {1 , 2}
n(B) = 2
P(B} = 
A) n(S) = 50
A = Picking numbers with 3 in tens place = {30, 31,32,33,34,35,36,37,38,39}
n(A) = 10
P(A) = 
Using the z-distribution, the test statistic is:
c) -2.63.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, equivalent to a subtraction of 0, hence:
At the alternative hypothesis, we test if they are different, hence:
<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
.
.
For the distribution of differences, it is given by:
.
<h3>What is the test statistic?</h3>
The test statistic is given by:
In which 
is the value tested at the null hypothesis.
Hence:
z = -2.63.
More can be learned about the z-distribution at brainly.com/question/13873630
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