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jasenka [17]
3 years ago
15

Y = 4x +zx + 6 solve for x plz

Mathematics
1 answer:
exis [7]3 years ago
8 0

Answer:

y = x(4+z)+6

y-6 = x(4+z)

x=(y-6)/(4+z)

Step-by-step explanation:

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{4x-2y&lt;0}<br> {5x+3y&lt;-11}
kkurt [141]
Finding the sum for y in the equation  4x-2y< 0
so 4x - 2y = 0
4x - 2y - 4x would equal 0 - 4x
-2y = -4x
-2y divided by -2 equals -4x / -2
That means y=2x
3 0
3 years ago
Describe Bob’s data in terms of center, spread, and shape.
ra1l [238]

Step-by-step explanation:

Bob's points per game are

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

<u>Calculating Median:</u>

As the median is the middle number in a sorted list of numbers when there is an odd number of terms.

As the the total number of terms = 37

Therefore, the median is the center term which is 10.

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

<u>Calculating Range:</u>

As the given data

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

The range is the difference between the highest and lowest values in the data set.

The lowest value is 5

The highest value is 15

The range = 15 - 5 = 10

<u>Calculating the interquartile range (IQR)</u>

The interquartile range is the difference between the third and first quartiles.

  • The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers.

So, the bottom half is

5   7   7   7   8   8   8   8   8   9   9   9   9   9   10   10   10   10  

The median of these numbers is 8.5

  • The third quartile (or upper quartile or 75th percentile) is the median of the upper half of the numbers.

So, the upper half is

10   11   11   11   11   11   12   12   12   12   13   13   13   14   14   14   15   15  

The median of these numbers is 12

As

The third quartile is 12

The first quartile is 8.5

Therefore,

The interquartile range = 12 - 8.5 = 3.5

<u>Finding Mode</u>

As the given data

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

The mode of a set of data is the value in the set that occurs most often.

So, It is bimodal.

Therefore, the mode is 10.

<u>Finding Mean</u>

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

Mean=Sum\:of\:terms\:\div Number\:of\:terms

Sum\:of\:terms\:=\:385

Number\:of\:terms\:=\:37

Mean\:=\:\frac{385}{37}=10.4

<u>Determining whether the data is symmetrical or non-symmetrical</u>

The data is non-symmetric, they do not have about the same shape on either side of the middle. In other words, if you fold the histogram in half, it does not look about the same on both sides. Please check the histogram attached below.

<u>Calculating Mean Absolute Deviation</u>

The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean.

As the given data

5, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15

Population size = 37

Mean=10.4

Mean Absolute Deviation (MAD): 2.0

Keywords: mode, median, mean, non-symmetrical data, range, Interquartile Range (IQR)

Learn more about mode, median and mean from brainly.com/question/13221365

#learnwithBrainly

3 0
3 years ago
I don't understand the functions of q and r in the attached problem. Can someone help?
katrin [286]
Drtasjjjjjjjjjjjjawdffffffffskkkjhsaaaaaaaaaaaaaaaaaaaaaaaaaa
3 0
3 years ago
Which equation best represents the data
arlik [135]

The table is an illustration of a linear table, and the equation of the data is y = 1.4x

<h3>How to determine the equation of the data?</h3>

The table is given as:

x 1.3 1.6 1.9 2.2

y 1.82 2.24 2.66 3.08

The above table is a proportional linear equation

The constant of proportionality (k) is calculated using:

k = y/x

Using the values on the table, we have:

k = 1.82/1.3

Divide

k = 1.4

Substitute k = 1.4 in k = y/x

y/x = 1.4

Multiply both sides by 1.4

y = 1.4x

Hence, the equation of the data is y = 1.4x

Read more about constant of proportionality at:

brainly.com/question/1835116


#SPJ1

6 0
2 years ago
Which table shows the relationship between x and y as a direct variation?
AVprozaik [17]

Answer: 4

Step-by-step explanation: cause they are in order

6 0
2 years ago
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