Answer: the second option is the correct answer.
Step-by-step explanation:
In an arithmetic sequence, the consecutive terms differ by a common difference.
The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + d(n - 1)
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 6
d = 17
n = 18
We want to determine the value of the 18th term, T18. Therefore,
T18 = 6 + 17(18 - 1)
T18 = 6 + 17 × 17
T18 = 6 + 289
T18 = 295
<u>Answer:</u>
Equation for the curve in its final position is y = 2tan( x + 1 ) + 7.
<u>Step-by-step explanation:</u>
We have to find equation for the curve of y=tan(x) ,with following transformations:
<em>vertically stretched by a factor of 2:</em> y = 2tan(x)
<em>shifted a distance of 1 units to the left:</em> y = 2tan( x+1 )
<em>translated 7 units upward:</em> y = 2tan( x + 1 ) + 7
A1.) <span>the interval about the mean within which 90% of the data lie = 120 + or - 1.645(10) = 120 + or - 16.45 = 120 - 16.45 to 120 + 16.45 = 103.55 to 136.45
2.) P(100 < X < 140) = P(X < 140) - P(X < 100) = P(z < (140 - 120)/10) - P(z < (100 - 120)/10) = P(z < 2) - P(z < -2) = P(z < 2) - [1 - P(z < 2)] = 2P(z < 2) - 1 = 2(0.97725) - 1 = 1.9545 - 1 = 0.9545 = 95.5%
B1.) </span><span>the interval about the sample mean that has a 1% level of confidence is 500 + or - 2.575(80/√1000) = 500 + or - 7 = 500 - 7 to 500 + 7 = 493 to 507
2.) 2P(z < a) - 1 = 0.90
2P(z < a) = 1.90
P(z < a) = 0.95
a = 1.645
(b - 500)/(80/√1000) = 1.645
b - 500 = 4
b = 500 + 4 = 504
The </span><span>interval about the sample mean such that the probability is 0.90 that the mean number lies within the interval is 496 - 504.</span><span />
