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hammer [34]
3 years ago
11

Consider the set of differences, denoted with d, between two dependent sets: 84, 85, 83, 63, 61, 100, 98. Find the sample standa

rd deviation sd and round it to the nearest tenth.
Mathematics
1 answer:
sveta [45]3 years ago
4 0

Answer:

The sample standard deviation is 15.3.

Step-by-step explanation:

Given data items,

84, 85, 83, 63, 61, 100, 98,

Number of data items, N = 7,

Let x represents the data item,

Mean of the data points,

\bar{x}=\frac{84+85+83+63+61+100+98}{7}

=82

Hence, sample standard deviation would be,

\sigma= \sqrt{\frac{1}{N-1}\sum_{i=1}^{N} (x_i-\bar{x})^2}

=\sqrt{\frac{1}{6}\sum_{i=1}^{7} (x_i-82)^2}

=\sqrt{\frac{1}{6}\times 1396}

=\sqrt{232.666666667}

=15.2534149182

\approx 15.3

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How can you use number patterns to find the least common factor
Aleks04 [339]

Answer:

The correct answer is: 360.

Explanation:

First we can express 120 as follows:

2 * 2 * 2 * 3 * 5 = 120

You can get the above multiples as follows:

120/2 = 60

60/2 =30

30/2 = 15

15/3 = 5 (Since 15 cannot be divisible by 2, so we move to the next number)

5/5 = 1

Take all the terms in the denominator for 120, you would get: 2 * 2 * 2 * 3 * 5 --- (1)

Second we can express 360 as follows:

360/2 = 180

180/2 = 90

90/2 =45

45/3 = 15 (Since 45 cannot be divisible by 2, so we move to the next number)

15/3 = 5

5/5 = 1

Take all the terms in the denominator for 360, you would get: 2 * 2 * 2 * 3 * 3 * 5 --- (2)

Now in (1) and (2) consider the common terms once and multiple that with the remaining:

2*2*2*3*5 = Common between the two

3 = Remaining

Hence (2*2*2*3*5) * (3) = 360 = LCM (answer)

5 0
3 years ago
In the figure what is the length of BD?
Dmitry_Shevchenko [17]

Answer: 24

Step-by-step explanation: The triangle is a 45-45-90. It’s an isosceles triangle

5 0
3 years ago
81x-27=81x−27<br><br> what<br> is the answer
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The answer is all real numbers for x

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5 0
2 years ago
Read 2 more answers
4log x-1/2log y+3log z
babymother [125]
Following rules of logs, we can do the following:

log x^4 - log y^(1/2) + log z^3

Combine the first and 3rd factors to get    log [x^4*z^3]

Seeing that the neg. sign signifies division, write this new term - log y^(1/2) as a quotient:

        [x^4*z^3]
log ----------------
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Next time, please include the instructions when you present your problem.
Thx.

7 0
3 years ago
What do I put? I am having so much trouble with this.
jek_recluse [69]
12. \frac{3}{4} ,  \frac{9}{12}

13. \frac{4}{10} ,  \frac{4}{100}

16. \frac{3}{9} is already in simplest form.
8 0
3 years ago
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