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2 years ago

What is the median of this set of data? 66, 51, 77, 68, 60, 75, 54, 80 29 64 66 67

Mathematics

2 answers:

bearhunter [10]2 years ago

6 0

Answer:

Step-by-step explanation:

NeX [460]2 years ago

5 0

Answer:

66 is the median

Step-by-step explanation:

First put them from least to greatest

29 51 54 60 64 66 66 67 68 75 77 80

Then start removing one by one from each side

51 54 60 64 66 66 67 68 75 77

54 60 64 66 66 67 68 75

60 64 66 66 67 68

64 66 66 67

66 66 67

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What is the answer of equation 9x(30+7)=(9x30)+(9x7)

RSB [31]

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Distributive Property

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3 years ago

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Find a positive number for which the sum of it and its reciprocal is the smallest (least) possible. Let x be the number and let

Allisa [31]

Answer:

$S(x) = x + \frac{1}{x}$ --- Objective function

Interval = $\{x:x=1\}$

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

$x + \frac{1}{x}$

Hence, the objective function is:

$S(x) = x + \frac{1}{x}$

To get the the interval, we start by differentiating w.r.t x

Using first principle, this gives:

$S'(x) = 1 - \frac{1}{x^2}$

Equate S'(x) to 0 in order to solve for x

$0 = 1 - \frac{1}{x^2}$

Subtract 1 from both sides

$0 -1 = 1 -1 - \frac{1}{x^2}$

$-1 = - \frac{1}{x^2}$

Multiply both sides by -1

$1 = \frac{1}{x^2}$

Cross Multiply

$x^2 * 1 = 1$

$x^2 = 1$

Take positive square root of both sides because x is positive

$\sqrt{x^2} = \sqrt{1$

$x = 1$

Representing x using interval notation, we have

Interval = $\{x:x=1\}$

To get the smallest sum, we substitute 1 for x in $S(x) = x + \frac{1}{x}$

$S(1) = 1 + \frac{1}{1}$

$S(1) = 1 + 1$

$S(1) = 2$

Hence, the smallest sum is 2

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3 years ago

How much of a radioactive kind of nickel will be left after 384 years if you start with 5,472 grams and the half-life is 96 year

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Dylan hikes 90 miles in 3 days. At that rate, how many days does it take him to hike a total of 240 miles?

zysi [14]

Answer:

8 days

Step-by-step explanation:

90/3 = 30 mi/day

240/30 = 8 days

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2 years ago

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Ted has a credit card that uses the average daily balance method. For the first 9 days of one of his billing cycles, his balance

slega [8]

Your question doesn't say what are the options, but we can make some reasoning.

The average daily balance method is based, obviously, on the average daily balance, which is the average balance for every day of the billing cycle. Therefore, in order to calculate the average daily balance, you need to sum the balance of every day and then divide it by the days of the billing cycle.
In your case:
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Now, in order to calculate the interest, you should first calculate the daily rate, since APR is usually defined yearly, and therefore:
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interest = ADB × rate × days in the billing cycle
or else:
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In your case:
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