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olga_2 [115]
1 year ago
12

Find the length of the missing side in the figure below. a = _______ cm.

Mathematics
1 answer:
WITCHER [35]1 year ago
5 0

Answer:

\frac{2 \sqrt{177} }{5}

or

5.32cm correct to 2 decimal places

Step-by-step explanation:

This is a right angled triangle from what I know so we have to apply pythagoras theorem.

{7.1}^{2}  =  {a}^{2}  +  {4.7}^{2}

we need to rearrange this to find a²

{a}^{2}  =  {7.1}^{2}  -  {4.7}^{2}

a =  \sqrt{ \frac{708}{25} }

This can either be written as a fraction or decimal.

a =  \frac{2 \sqrt{177} }{5}

OR

a = 5.32

correct to 2 decimal places

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When a distribution is mound-shaped symmetrical, what is the general relationship among the values of the mean, median, and mode
yuradex [85]

Answer:

The mean, median, and mode are approximately equal.

Step-by-step explanation:

The mean, median, and mode are <em>central tendency measures</em> in a distribution. That is, they are measures that correspond to a value that represents, roughly speaking, "the center" of the data distribution.

In the case of a <em>normal distribution</em>, these measures are located at the same point (i.e., mean = median = mode) and the values for this type of distribution are symmetrically distributed above and below the mean (mean = median = mode).

When a <em>distribution is not symmetrical</em>, we say it is <em>skewed</em>. The skewness is a measure of the <em>asymmetry</em> of the distribution. In this case, <em>the mean, median and mode are not the same</em>, and we have different possibilities as the mentioned in the question: the mean is less than the median and the mode (<em>negative skew</em>), or greater than them (<em>positive skew</em>), or approximately equal than the median but much greater than the mode (a variation of a <em>positive skew</em> case).  

In the case of the normal distribution, the skewness is 0 (zero).

Therefore, in the case of a <em>mound-shaped symmetrical distribution</em>, it resembles the <em>normal distribution</em> and, as a result, it has similar characteristics for the mean, the median, and the mode, that is, <em>they are all approximately equal</em>. So, <em>the </em><em>general</em><em> relationship among the values for these central tendency measures is that they are all approximately equal for mound-shaped symmetrical distributions, </em>considering they have similar characteristics of the <em>normal distribution</em>, which is also a mound-shaped symmetrical distribution (as well as the t-student distribution).

5 0
2 years ago
Kim solved the equation below by graphing a system of equations. log base 2 (3x-1) = log base 4 (x+8)
kompoz [17]

Answer:

solution is

x=1.353,y=1.613

Step-by-step explanation:

We are given equation as

log_2(3x-1)=log_4(x+8)

Firstly, we will find equations

First equation is

y=log_2(3x-1)

Second equation is

y=log_4(x+8)

now, we can draw graph

and then we can find intersection point

we can see that

intersection point is (1.353,1.613)

so, solution is

x=1.353,y=1.613

8 0
3 years ago
Read 2 more answers
For each sequence, find the first 4 terms and the 10th term<br> 1) 2n-1
Katena32 [7]

Answer:

1st term: 1, 2nd term: 3, 3rd term: 5, 4th term: 7 & 10th term: 19

Step-by-step explanation:

1st term: 2(1) - 1

              2 - 1 = 1

2nd term: 2(2) - 1

                4 - 1 = 3

3rd term: 2(3) - 1

               6 - 1 = 5

4th term: 2(4) - 1

               8 - 1 = 7

10th term: 2(10) -1

                20 - 1 = 19

6 0
2 years ago
Which table of ordered pairs represents a proportional relationship
Delvig [45]

Answer:

b

Step-by-step explanation:

Which table of ordered pairs represents a proportional relationship

3 0
3 years ago
Please Answer And Show work please!!!!!
Murljashka [212]

Answer:

si lan varlgo 2x4x4x2.5

Step-by-step explanation:

la nidra si margo

8 0
2 years ago
Read 2 more answers
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