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3 years ago

Write an equation that represents each mixed number as a sum of whole numbers and unit fractions. 1/ 5/6

1 answer:

5 0

Let X= whole numbers
a/b= unit fractions
X a/b-- >mixed number
equation=(X*b+a)/b

1 ⅚=(1*6+5)/6=11/6

the answer is (X*b+a)/b

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Find the sum of the series 9+3+1+........+1/27

Elina [12.6K]

Answer:

364/27

Step-by-step explanation:

9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.

The nth term is a1rn-1.

If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27

32(3-1)n-1 = 3-3

3231-n = 3-3

33-n = 3-3

3-n = -3

n = 6

The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).

So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)

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An education firm measures the high school dropout rate as the percentage of 16 to 24 year olds who are not enrolled in school a

posledela

Answer:

The value of the test statistic $z = -0.6606$

Step-by-step explanation:

From the question we are told that

The high dropout rate is $\mu = 6.1$ % $= 0.061$

The sample size is $n = 1000$

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The probability of having a dropout in 1000 people $\= x = \frac{56}{1000} = 0.056$

Now setting up Test Hypothesis

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Alternative $H_a : p < 0.061$

The Test statistics is mathematically represented as

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substituting values

$z = \frac{0.056 - 0.061}{\sqrt{\frac{0.061(1 -0.061)}{1000} } }$

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