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antoniya [11.8K]
3 years ago
14

X^2 + 4.7^2 = 13.4^2

Mathematics
1 answer:
tamaranim1 [39]3 years ago
5 0

Answer:

x =   - \: 12.55 \: or \: x = 12.55

Step-by-step explanation:

We want to solve for x in

{x}^{2}  + 4.7^{2}   = 13.4^{2}

We group constants on the right to get:

{x}^{2}  = 13.4^{2}  -  {4.7}^{2}

We apply difference of two squares

{x}^{2}  = (13.4  -  {4.7})(13.4 + 4.7)

{x}^{2}  = 157.47

x =  \pm \sqrt{157.47}

x =  \pm \: 12.55

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Answer:

''The median for the students is 2 and the median for the teachers is 3'' is the right option which compares the medians of the data.

Step-by-step explanation:

Data for students from the dot plot in order

0,\:0,\:1,\:1,\:1,\:1,\:2,\:2,\:2,\:2,\:2,\:2,\:2,\:3,\:3,\:3,\:3,\:3,\:4,\:4

Calculating Median for students:

0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4

As you can see, we do not have just one middle number but we have a pair of middle numbers i.e. 2 and 2, so the median is the average of these two numbers:

Median = (2+2)/2

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Data for teachers from the dot plot in order

0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8

Calculating Median for teachers:

0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 6, 8

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8 0
3 years ago
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4 years ago
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In a manufactory, there are two types of spoilages. It is found that 5% of spoilages are due to transformer spoilage, 8% are due
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Answer:

   

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i v )

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