The graph is y=x+4, to get the x-intercept we let y=0; and solve for x
thus we shall have:
0=x+4
subtract 4 from both sides
0-4=x+4-4
-4=x
hence the x-intercept will be at point (-4,0)
Answer:
The probability table is shown below.
A Poisson distribution can be used to approximate the model of the number of hurricanes each season.
Step-by-step explanation:
(a)
The formula to compute the probability of an event <em>E</em> is:

Use this formula to compute the probabilities of 0 - 8 hurricanes each season.
The table for the probabilities is shown below.
(b)
Compute the mean number of hurricanes per season as follows:

If the variable <em>X</em> follows a Poisson distribution with parameter <em>λ</em> = 7.56 then the probability function is:

Compute the probability of <em>X</em> = 0 as follows:

Compute the probability of <em>X</em> = 1 as follows:

Compute the probabilities for the rest of the values of <em>X</em> in the similar way.
The probabilities are shown in the table.
On comparing the two probability tables, it can be seen that the Poisson distribution can be used to approximate the distribution of the number of hurricanes each season. This is because for every value of <em>X</em> the Poisson probability is approximately equal to the empirical probability.
The algebraic expression of the part A is 6+7x. And the verbal expression for 3*(n+8) is "the triple of the sum between the numbers n and 8".
<h3>
Linear Expression</h3>
A linear expression can be represented by a line. The standard form for this equation is: y=ax+b , for example, y=2x+7.
First, you should choose a variable for unknow number. Here, the variable will be x. Then, 7 times a number can be represented for 7x.
The word <em>more </em>will be represented for the add symbol (+). Thus,
the algebraic expression is 6+7x.
The expression 3*(n+8) can be represented for the sentence:
The triple of the sum between the numbers n and 8.
Learn more about the algebraic expression here:
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Answer: 64% of garbage was plastic over there when he was collected garbage.
Step-by-step explanation:
Since we have given that
Total amount of garbage collected by them = 25 pounds
Total amount of garbage which consisted of plastic = 16 pounds
Percent of the garbage was garbage is given by


Hence, 64% of garbage was plastic over there when he was collected garbage.
First let's find the slope of line joining (2, 5) and (4, 4)
Assuming points (x₁, y₁) and (x₂, y₂)
Slope = (y₂ - y₁) / (x₂ - x₁)
Slope = (4 - 5) / (4 -2) = -1/2 = -0.5
From equation of line: y = mx + c
y = -0.5x + c
Using the point (2 , 5) as passing through y = -0.5x + c
x = 2, y = 5
5 = -0.5*2 + c
5 = -1 + c
5 + 1 = c
6 = c
c = 6
Therefore the y-intercept which is c = 6
y-intercept = 6
Hope this explains it.