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Morgarella [4.7K]
3 years ago
11

1, 5, 17, 53, ... Use inductive reasoning to create a general rule for the sequence. A. Multiply by 3, then add 2. B. Multiply b

y 5. C. Divide by 2, then add 10. D. Multiply by 4, then subtract 2.
Mathematics
1 answer:
Basile [38]3 years ago
6 0
The answer to this problem is the letter "A" which is "Multiply by 3, then add 2"
and can be written a N = 3n + 2
At first, we have initial value such n = 1
Then the second value is:
N = 3*1 + 2
N = 5
The third value is:
N = 3*5 + 2
N=17
The next values are:
N = 3*17 + 2
N= 53
The letter "A" is the inductive reasoning to the given sequence.
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A random sample of 25 statistics examinations was selected. The average score in the sample was 76 with a variance of 144. Assum
Mazyrski [523]

Answer:

99% confidence interval for the population average examination score is between a lower limit of 69.2872 and an upper limit of 82.7128.

Step-by-step explanation:

Confidence interval = mean +/- margin of error (E)

mean = 76

variance = 144

sd = sqrt(variance) = sqrt(144) = 12

n = 25

degree of freedom (df) = n - 1 = 25 - 1 = 24

confidence level (C) = 99% = 0.99

significance level = 1 - C = 1 - 0.99 = 0.01 = 1%

t-value corresponding to 24 df and 1% significance level is 2.797

E = t×sd/√n = 2.797×12/√25 = 6.7128

Lower limit = mean - E = 76 - 6.7128 = 69.2872

Upper limit = mean + E = 76 + 6.7128 = 82.7128

99% confidence interval is (69.2872, 82.7128)

6 0
3 years ago
marnie walsh purchased a delux dictionary for 38.75 and a full color atlas for 41.10. the state sales tax is 6%, tge city tax is
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The total price before tax is $(38.75 +41.10) =79.85 and after tax the purchase price is 79.85 x 9.5% = $7.59 + $79.85= $87.44
8 0
3 years ago
Please help me! Im really confused on how to solve problems like this
slega [8]
A = -bc
÷-c ÷-c
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7 0
3 years ago
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How many positive integers not exceeding 1000 are not divisible by either 4 or 6?
san4es73 [151]
\left\lfloor\dfrac{1000}4\right\rfloor=250

\left\lfloor\dfrac{1000}6\right\rfloor=166

\left\lfloor\dfrac{1000}{\mathrm{lcm}(4,6)}\right\rfloor=\left\lfloor\dfrac{1000}{12}\right\rfloor=83

250+166-83=333
7 0
3 years ago
What is the area of a semi-circle with a diameter of 6cm?
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Formula for the area of a circle: A = pi * r^2

A semi-circle is half of a circle. So, we will need to divide the area of the total circle by 2 to find the area of a semi-circle.

r = d / 2

r = 6 / 2 = 3

A = pi * 9

A = 9pi

Semi-circle:

A = 9pi / 2

A = 4.5 pi cm^2 or 14.14 cm^2

Hope this helps!! :)

3 0
3 years ago
Read 2 more answers
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