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3 years ago

Determine the distance between the points (2,7) and (-4,15)

Mathematics

1 answer:

Nikolay [14]3 years ago

4 0

Answer:

option C

Step-by-step explanation:

$distance = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$

$=\sqrt{(-4-2)^2+(15-7)^2} \\\\=\sqrt{(-6)^2 + 8^2}\\\\=\sqrt{36 + 64 }\\\\= \sqrt{100} \\\\= 10$

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Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below

mafiozo [28]

Answer:

a) $\bar X = 369.62$

b) $Median=175$

c) $Mode =450$

With a frequency of 4

d) $MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5$

e) $s = 621.76$

And we can find the limits without any outliers using two deviations from the mean and we got:

$\bar X+2\sigma = 369.62 +2*621.76 = 1361$

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

Step-by-step explanation:

We have the following data set given:

49 70 70 70 75 75 85 95 100 125 150 150 175 184 225 225 275 350 400 450 450 450 450 1500 3000

Part a

The mean can be calculated with this formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

Replacing we got:

$\bar X = 369.62$

Part b

Since the sample size is n =25 we can calculate the median from the dataset ordered on increasing way. And for this case the median would be the value in the 13th position and we got:

$Median=175$

Part c

The mode is the most repeated value in the sample and for this case is:

$Mode =450$

With a frequency of 4

Part d

The midrange for this case is defined as:

$MidR= \frac{Max +Min}{2}= \frac{49+3000}{2}= 1524.5$

Part e

For this case we can calculate the deviation given by:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And replacing we got:

$s = 621.76$

And we can find the limits without any outliers using two deviations from the mean and we got:

$\bar X+2\sigma = 369.62 +2*621.76 = 1361$

And for this case we have two values above the upper limit so then we can conclude that 1500 and 3000 are potential outliers for this case

5 0

3 years ago

What do you predict the solution for the system 5x-6y=7 and 6x-7y=8 will be ?

Alenkinab [10]

System of Linear Equations entered :

[1] 5x - 6y = 7
[2] 6x - 7y = 8
Graphic Representation of the Equations :

-6y + 5x = 7 -7y + 6x = 8

Solve equation [2] for the variable x

[2] 6x = 7y + 8

[2] x = 7y/6 + 4/3
// Plug this in for variable x in equation [1]

[1] 5•(7y/6+4/3) - 6y = 7
[1] - y/6 = 1/3
[1] - y = 2
// Solve equation [1] for the variable y

[1] y = - 2
// By now we know this much :

x = 7y/6+4/3
y = -2
// Use the y value to solve for x

x = (7/6)(-2)+4/3 = -1

8 0

2 years ago

Write the number in order starting with the smallest 1.06, 1.031,1.306,1.36

Diano4ka-milaya [45]

1.031, 1.06, 1.306, 1.36

If it helps, when you have something that only goes to the hundredths place, add a 0 to the end.
for example, 1.63= 1.630

6 0

3 years ago

Read 2 more answers

In parallelogram DEFG if m_DEF=110° find m_FGD. E 110° D G

Sergio039 [100]

Answer:

E=x

or 110= x ( opposite angles of parallelogram are congurent)

E+D = 180 ( angles on st line)

110+D =180

D=70

D=F ( opposite angles of parallelogram are congurent)

so F=70

3 0

3 years ago

The quadrilateral shown is a parallelogram. What is the measure of DC?

Schach [20]

Answer:

B) 12

Step-by-step explanation:

Opposite sides are congruent

6 0

3 years ago