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2 years ago

What are the answers

Mathematics

2 answers:

ale4655 [162]2 years ago

8 0

The solution to the system of equations, though we can solve using substitution, can also be found by graphing these equations. If you graph these equations, look for where they intersect (it should be one point!).

-5x + 6 = 3x - 2

6 = 8x - 2

8x = 8

x = 1

y = 3(1) - 2

y = 3 - 2

y = 1

Hope this helps!! :)

tekilochka [14]2 years ago

7 0

Answer:

x = 1, y = 1

Step-by-step explanation:

Use system of equations to solve for x and y by using substitution

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nikdorinn [45]

Step-by-step explanation:

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2 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

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3 years ago

Read 2 more answers

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nirvana33 [79]

Answer:

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Step-by-step explanation:

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2 years ago

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Mamont248 [21]

Answer (<u>assuming it can be in point-slope form)</u>:

$y-3 = 1(x-4)$

Step-by-step explanation:

Use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line. Substitute real values for $m$ , $x_1$ , and $y_1$ in the formula.

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$y-3 = 1(x-4)$

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2 years ago

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Iteru [2.4K]

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Step-by-step explanation:

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3 years ago