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Karo-lina-s [1.5K]
3 years ago
5

1. Rebecca was asked to create five pairs of like terms. Determine if she completed the task

Mathematics
1 answer:
poizon [28]3 years ago
6 0

Answer:

everything but 2 and 5 was correct

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
M = 1/2 (0, -3)<br> Write the equation of a line using slope intercept form
marshall27 [118]

Answer:

y=\frac{1}{2}x-3

Step-by-step explanation:

slope intercept form is y=mx+b

b is y intercept

so we plug the coordinate into the equation

-3=\frac{1}{2}(0)+b

-3=b

so y intercept is -3

so we then write our equation which is,

y=\frac{1}{2}x-3

5 0
3 years ago
Read 2 more answers
What is the volume of three cubes with a side length of 1/3 and V=s cubed
anyanavicka [17]
V = S^3

S= 1/3

V = 1/3^3

V = 1/27 cubic unites each

3 cubes = 1/27 x 3 = 3/27 = 1/9 cubic units total
5 0
3 years ago
18. In the diagram below, PQRS is a square Find the equation of the circle that will pass through the four vertices of the squar
mamaluj [8]

An equation of the circle that will pass through the four (4) vertices of the square is (x + 2)² + y² = 2².

<h3>How to find the equation of this circle?</h3>

Mathematically, the general form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

Where:

  • h and k represents the coordinates at the center.
  • r is the radius of a circle.

<u>Note:</u> The center of a circle lies on the midpoint of the diagonal of a square, which is formed by joining its endpoints (opposite).

Midpoint on x-coordinate is given by:

Midpoint = (-2 - 2)/2

Midpoint = -4/2 = -2.

Midpoint on y-coordinate is given by:

Midpoint = (-2 + 2)/2

Midpoint = 0/2 = 0.

Thus, the center (h, k) = (-2, 0).

For the radius, we have:

r = √(-2)² + 0²

r = √4 = 2.

Substituting the parameters into the general equation, we have;

(x - (-2))² + (y - 0)² = 2²

(x + 2)² + y² = 2²

Read more on circle here: brainly.com/question/1615837

#SPJ1

6 0
2 years ago
Please send help, and explain if you can &lt;333
Sedbober [7]

Answer:

it would be B

Step-by-step explanation:

d=(0-(-5)^2+(-2-(-3)^2

d=(5)^2+(1)^2

d=25+1

d=26

7 0
3 years ago
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