Part (a)
This sequence is arithmetic because we are adding 4 to each term to get the next term. Nice work on getting the correct answer here.
To get the nth term of an arithmetic sequence, we'll use the formula below
an = a + d(n-1)
In this case, a = 14 is the first term and d = 4 is the common difference
So we have these steps
an = a + d(n-1)
an = 14 + 4(n-1)
an = 14 + 4n - 4
an = 4n + 10
Answer: 4n + 10
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Part (b)
This sequence is geometric since we multiply each term by 4
The common ratio is r = 4 and the start term is a = 2.
So the nth term is....
an = a*(r)^(n-1)
an = 2*(4)^(n-1)
Answer: 2*(4)^(n-1)
The right triangle has one angle = 60° and the second, 30°, then it is also a semi equilateral one & the side (y) opposed to the angle of 30° is equal to half of the hypotenuse (x).
Calculate x by Pythagoras:
x² = (5√3)² + y², but y = x/2==> y² =(x/2)² =x²/4
x² = 75 + x²/4 ==> 4x² = 300 + x²==> 3x²=300, x² =100 and x=10 and y =5
Answer:
The 95% confidence interval estimate of the true population proportion of U.S. employers that were likely to require higher employee contributions for health care coverage is 0.52 +/- 0.0370
= (0.4830, 0.5570)
The margin of error M.E = 0.0370
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
p+/-z√(p(1-p)/n)
p+/-M.E
Given that;
M.E = margin of error
Proportion p = 52% = 0.52
Number of samples n = 700
Confidence interval = 95%
z value (at 95% confidence) = 1.96
Substituting the values we have;
0.52 +/- 1.96√(0.52(1-0.52)/700)
0.52 +/- 1.96(0.0189)
0.52 +/- 0.0370
( 0.4830, 0.5570)
The 95% confidence interval estimate of the true population proportion of U.S. employers that were likely to require higher employee contributions for health care coverage is 0.52 +/- 0.0370
= (0.4830, 0.5570)
The margin of error M.E = 0.0370
2+3= 23
I know this bc I know this bye now lol
The sequence is probably ×2
