Please answer this question fast in two minutes

Mathematics

2 answers:

Elodia [21]3 years ago

8 0

Answer:

S = (3, 5 )

Step-by-step explanation:

Given the endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ $\frac{1}{2}$ (x₁ + x₂ ), $\frac{1}{2}$ (y₁ + y₂ ) ]

let the coordinates of S be (x, y ), then using the midpoint formula equate the parts to the coordinates of the midpoint M

x = $\frac{1}{2}$ (x + 5) = 4 ( multiply both sides by 2 )

x + 5 = 8 ( subtract 5 from both sides )

x = 3

y = $\frac{1}{2}$ (y + 3) = 4 ( multiply both sides by 2 )

y + 3 = 8 ( subtract 3 from both sides )

y = 5

The coordinates of S = (3, 5 )

tatuchka [14]3 years ago

7 0

Answer:

the answer is (3,5)

Step-by-step explanation:

i used the slope between M and T to figure out where point S was

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The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance,

tensa zangetsu [6.8K]

We have the following data set:

2,7,15,3,12,9,15,8,3,10

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Then,

$\begin{gathered} \text{Range}=15-2 \\ \text{Range}=13 \end{gathered}$

Mean is represented by the following expression:

$\text{Mean}=\frac{\text{Sum of all data points}}{Number\text{ of data po}ints}$ $\text{Mean}=\frac{84}{10}=8.4$

Population variance formula looks like this:

$\begin{gathered} \sigma^2=\frac{\sum^{}_{}(x-\mu)^2}{N} \\ \text{where,} \\ \sigma^2=\text{population variance} \\ \sum ^{}_{}=addition\text{ of} \\ x=\text{each value} \\ \mu=population\text{ mean} \\ N=\text{ number of values in the population} \end{gathered}$

Then, substituting: