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NARA [144]
3 years ago
14

Find the midpoint between points (-4,2) and (2,-2) (1,-1) (0,-1) (-1,0) (1,0)

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0
\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
(\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad 
(\stackrel{x_2}{2}~,~\stackrel{y_2}{-2})
\qquad
%   coordinates of midpoint 
\left(\cfrac{ x_2 +  x_1}{2}~~~ ,~~~ \cfrac{ y_2 +  y_1}{2} \right)
\\\\\\
\left( \cfrac{2-4}{2}~~,~~\cfrac{-2+2}{2} \right)\implies \left( \cfrac{-2}{2}~~,~~\cfrac{0}{2} \right)\implies (-1~,~0)
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Step-by-step explanation:

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Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand
victus00 [196]

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ P(A)=\frac{30}{100}=0.3

Preference of Brand B =70% ⇒ P(B)=\frac{70}{100}=0.7

Prefer Brand A and are Female = 20% ⇒ P(A/F)=\frac{20}{100}=0.2

Prefer Brand B and are Female = 40% ⇒ P(B/F)=\frac{40}{100}=0.4

To find : Selected consumer is female, given that the person prefers Brand A P(F/A)

Solution : Using Bayes' theorem, which state that

P(A/B)=\frac{P(B/A)P(A)}{P(B)}

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}

P(F/A)=\frac{(0.2)(0.3)}{(0.7)(0.4)+(0.3)(0.2)}

P(F/A)=\frac{0.6}{0.28+0.6}

P(F/A)=\frac{0.6}{0.88}

P(F/A)=0.68

Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

3 0
3 years ago
Read 2 more answers
Write 12 as a percentage of 15.
aivan3 [116]

Answer:

80

now enjoy your answer.

8 0
2 years ago
Read 2 more answers
3/4h-9=1/4h-1 i need help
Vlada [557]

<u> Answer I got for this was 16.

Subtract the 1/4 from the 3/4 and get 2/4, simplified: 1/2

You should have 1/2 h -9 = -1 by now,
Then add nine to the other side, getting 8.
You should have 1/2 h = 8.
Then divide 1/2 by 8.
8/1÷1/2 ---> 8/1 × 2/1 (you flip the fraction when you divide)
So your answer is 16!
Hopefully that helped!</u>

4 0
3 years ago
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