Answer:
y=-2/3x+6
Step-by-step explanation:
y-y1=m(x-x1)
y-4=-2/3(x-3)
y=-2/3x+6/3+4
y=-2/3x+2+4
y=-2/3x+6
Using complementary events, considering a
probability of drawing a red marble, the probability of not drawing a red marble is of
.
<h3>What are complementary events?</h3>
They are mutually exclusive events which have the sum of their probabilities as 1.
In this problem, we consider that there is a
probability of drawing a red marble, and since drawing a red marble and drawing a non-red marble are complementary events, we have that:


The probability of not drawing a red marble is of
.
More can be learned about complementary events at brainly.com/question/9752956
<h3>The number of pears Amy has is 16.</h3>
Step-by-step explanation:
Let J represent the number of pears Josh has.
Let L represent the number of pears Leya has.
Let A represent the number of pears Amy has.
From the question given above,
Josh (J) = 4 × Leya (L)
J = 4L ....... (1)
Leya (L) = ½ × Amy (A)
L = ½A ........ (2)
Next, we shall determine the number of pears Leya has. This can be obtained as follow:
From equation 1
J = 4L
But
Josh (J) = 32 pears
Thus,
32 = 4L
Divide both side by 4
L = 32 / 4
<h3>Leya (L) = 8 pears </h3>
Finally, we shall determine the number pears Amy has. This can be obtained as follow:
From equation 2
L = ½A
But
Leya (L) = 8 pears
Thus,
8 = ½A
Cross multiply
A = 8 × 2
<h3>Amy (A) = 16 pears </h3>
Therefore, Amy has 16 pears.
Learn more: brainly.com/question/20971657
Answer:
First choice:

Explanation:
<em>The probability that the first is a man's card and the second, a woman's card</em> is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards in the hat has changed.
In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.
<u>1. Probability that the first is a man's card</u>
- Number of cards in the hat = 20 (the 20 business card)
- Number of man's card in the hat: 10
- Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.
<u />
<u>2. Probability that the second is a woman's card</u>
- Number of cards in the hat = 19 (there is one less card in the hat)
- Number of wonan's card in the hat: 10
- Probability = favorable oucomes / possible outcomes = 10/19.
<u>3. Probability that the first is a man's card and the second, a woman's card</u>
<u />
That is the first choice.
Answer:
see below
Step-by-step explanation: