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GenaCL600 [577]
2 years ago
9

Evaluate 10b + 3c, if b=3 and c = 11.

Mathematics
1 answer:
kozerog [31]2 years ago
4 0

Answer:

63

Step-by-step explanation:

10 × 3 = 30

3× 11 = 33

30 + 33 = 63

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David & Brad are competing in a 20-mile bicycle race. David rides 6.2 miles in 1/4 hour. Brad rides 11.9 miles in 1/2 hour.
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Annual starting salaries for college graduates with degrees in business administration are generally expected to be between $30,
REY [17]

Answer:

a) 217

b) 1351

c) 5403

Step-by-step explanation:

Given that:

confidence interval (c) = 0.95

\alpha =1-0.95=0.05\\\frac{\alpha }{2} =\frac{0.05}{2}=0.025

The Z score of \frac{\alpha }{2} is from the z table is given as:

Z_{\frac{\alpha }{2} }=Z_{0.025}=1.96

Range = $45000 - $30000 = $15000

The standard deviation (σ) is given as:

\sigma=\frac{Range}{4} =\frac{15000}{4}=3750

Sample size (n) is given as:

 n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2

a) E = $500

n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2= (\frac{1.96*3750}{500} )^2 ≈ 217

b) n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2= (\frac{1.96*3750}{200} )^2 ≈ 1351

c) n=(\frac{Z_{\frac{\alpha}{2} }\sigma}{E} )^2= (\frac{1.96*3750}{100} )^2 ≈ 5403

7 0
3 years ago
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3 years ago
What is the value of r of the geometric series n=11.3(0.8)n-1
jeyben [28]

the value of r of the geometric series n=11.3(0.8)n-1

an=11.3(0.8)^{n-1}

General formula for nth term of any geometric series is   a_n=a_1(r)^{n-1}

Here 'r' is the common ratio

a_1 is the first term of the series

Now we compare the given formula with general formula

Compare  an=11.3(0.8)^{n-1}  with  a_n=a_1(r)^{n-1}

The value of r= 0.8


6 0
3 years ago
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