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Ivahew [28]
3 years ago
8

Find the distance between m (-2,3) and n (8,2)

Mathematics
2 answers:
uysha [10]3 years ago
8 0
Distance formula : d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
(-2,3)....x1 = -2 and y1 = 3
(8,2)...x2 = 8 and y2 = 2
now we sub and solve
d = sqrt ((8 - (-2)^2 + (2 - 3)^2)
d = sqrt ((8 + 2)^2 + (-1^2)
d = sqrt (10^2) + (-1^2)
d = sqrt (100 + 1)
d = sqrt 101
d = 10.05 <==
SVETLANKA909090 [29]3 years ago
7 0
\bf \textit{distance between 2 points}\\ \quad \\&#10;\begin{array}{lllll}&#10;&x_1&y_1&x_2&y_2\\&#10;%  (a,b)&#10;&({{ -2}}\quad ,&{{ 3}})\quad &#10;%  (c,d)&#10;&({{ 8}}\quad ,&{{ 2}})&#10;\end{array}\qquad &#10;%  distance value&#10;d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}&#10;\\\\\\&#10;d=\sqrt{[8-(-2)]^2+[2-3]^2}\implies d=\sqrt{(8+2)^2+(2-3)^2}&#10;\\\\\\&#10;d=\sqrt{10^2+(-1)^2}\implies d=\sqrt{101}
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If the level of significance of a hypothesis test is raised from 0.005 to 0.2, the probability of a type ii error will:_________
LiRa [457]

The probability of type II error will decrease if the level of significance of a hypothesis test is raised from 0.005 to 0.2.

<h3 /><h3>What is a type II error?</h3>

A type II error occurs when a false null hypothesis is not rejected or a true alternative hypothesis is mistakenly rejected.

It is denoted by 'β'. The power of the hypothesis is given by '1 - β'.

<h3>How the type II error is related to the significance level?</h3>

The relation between type II error and the significance level(α):

  • The higher values of significance level make it easier to reject the null hypothesis. So, the probability of type II error decreases.
  • The lower values of significance level make it fail to reject a false null hypothesis. So, the probability of type II error increases.
  • Thus, if the significance level increases, the type II error decreases and vice-versa.

From this, it is known that when the significance level of the given hypothesis test is raised from 0.005 to 0.2, the probability of type II error will decrease.

Learn more about type II error of a hypothesis test here:

brainly.com/question/15221256

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7 0
2 years ago
The sum of two numbers is 60 and the difference is 2 what are the numbers.
oksian1 [2.3K]
Let the two numbers be x and y
Then
x + y = 60
And
x - y = 2
x = y + 2
Putting the value of x in the first equation we get
x + y = 60
y + 2 + y= 60
2y + 2 = 60
2y = 60 - 2
2y = 58
y = 58/2
y = 29
Now putting the value of y in the first equation we get
x + y = 60
x + 29 = 60
x = 60 - 29
x = 31
So the value of the two numbers comes out to be 31 and 29. I hope the procedure is clear enough for you to understand.
7 0
3 years ago
Read 2 more answers
Find the sale price of each item. Round to two decimal places when necessary.
Bond [772]

Answer:

Sale Price: 276.25

Step-by-step explanation:

The original price of the item is $325 and the markdown is 15% off.

So, all you have to do is find out what 15% of $325, which it's 48.75, and subtract that from $325 to get your final sale price, which is $276.25.

7 0
2 years ago
in 2013 January there were 360 pupils in school the ratio of boots to girls was 5:4 in February 18 boys were admitted in school
anyanavicka [17]

Answer:

218

Step-by-step explanation:

this is ratio.

5+4=9. which is the ratio you add it.

5/9×360=200

therefore the number of boys in school during 2013 january is 200 plus admitted boys in February is 200+18=218.

therefore the number of boys in school from january to february is 218.

5 0
3 years ago
Which angle measures create a triangle with three different side lengths?
dedylja [7]

Answer:

C

Step-by-step explanation:

For 3 different side lengths, you need 3 different angles. That eliminates A, B and D.

A: In the case of A, The angles do not add up to 180 so this is not possible. Even if it was, the angles are all the same and the side lengths would be as well.

B: Two angles are the same, therefore, 2 sides will be the same, even though the two sides added together will be larger than the side opposite.

D: Two angles are the same. The angles add to 180. The triangle will have 2 equal sides.

C: Answer. The three given angles add to 180. They are different. Unless the side opposite 93 exceeds the length of the other 2 sides, this forms a triangle with 3 different  sides. Using other methods to calculate the answer the other 2 sides do exceed the the base length so everything is fine.  

3 0
3 years ago
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