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Tems11 [23]
3 years ago
7

The graph of x^2/4-y^2/4=1 is an example of which type of conic section?

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0

Answer:

Hyperbola

Step-by-step explanation:

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32. The length of a rectangle measures six more than the width. The perimeter of the rectangle is 38.
Ne4ueva [31]

Answer: 12.5

You start with the equations "2x +2y=38" and "6+x=y". By adding and subtracting in the second equation, you get "2x +2y=38" and "x-y=-6". When you multiply the second equation by 2, you get "2x-2y=-12."

subtracting the equations "2x +2y=38" and "2x-2y=-12" gets you to "4y=50", where you have to divide two sides by 4 and get "y=12.5"

6 0
3 years ago
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
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5m%7D%7B2m%2B2%7D%20%20-%20%5Cfrac%7B5m%7D%7B2%7D" id="TexFormula1" title="\frac{5m}
raketka [301]

Answer:

0/2m

Step-by-step explanation:

7 0
3 years ago
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Solve the equation:<br><br> 15x11+(29x42)=?
Katyanochek1 [597]

Answer:

1,383

Step-by-step explanation:

15x11+(29x42)

165 + (1,218)

= 1,383

3 0
3 years ago
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- |2| what does this mean?
Helga [31]

-2 is the answer

Step-by-step explanation:

-2 is the answer because any thing with | | around it means it's a positive number. but the negative sign makes it negative.

3 0
3 years ago
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