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lesya [120]
3 years ago
11

8.5 ( x - 3.1) = - 37.35

Mathematics
1 answer:
lana66690 [7]3 years ago
3 0
8.5x-26.35=-37.35
8.5x=-37.35+26.35
8.5x=-11
X=-11/8.5
X=-1.29
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3 years ago
Find the axis of symmetry and what direction the parabola opens.<br> -1/4(y+4)=(x-3)²
MariettaO [177]
First, convert the equation to the standard equation of a parabola.
-1/4(y+4)=(x-3)^2     ---multiply -4 on both sides   
y+4=-4(x-3)^2           ---subtract 4 on both sides
y=-4(x-3)^2-4
From the equation, we know that the parabola was moved by 3 to the right, because of (x-3)^2. So the axis of symmetry is x=3. Now look at the number in front of (x-3)^2. It is -4. Since it is negative, the parabola opens downwards. 

7 0
3 years ago
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The number and frequency of Atlantic hurricanes annually from 1940 through 2007 is shown here:
klio [65]

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:

P(E)=\frac{Favorable\ no.\ of\ frequencies}{Total\ NO.\ of\ frequencies}

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:

E(X)=\frac{\sum x f_{x}}{\sum f_{x}}=\frac{176}{68}=  2.5882\approx2.59

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

P(X=x)=\frac{e^{-2.59}(2.59)^{x}}{x!} ;\ x=0, 1, 2,...

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

P(X=0)=\frac{e^{-2.59}(2.59)^{0}}{0!} =\frac{0.075\times1}{1}=0.075

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

\neq P(X=1)=\frac{e^{-2.59}(2.59)^{1}}{1!} =\frac{0.075\times7.56}{1}=0.1943

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.

5 0
3 years ago
Factoring 12m^2n^2-8mn+1=
alisha [4.7K]
12m^2n^2-8mn+1=12m^2n^2-2mn-6mn+1=\\\\=2mn\cdot6mn-2mn\cdot1-1\cdot6mn-1\cdot1=\\\\=2mn(6mn-1)-1(6mn-1)=(6mn-1)(2mn-1)
3 0
3 years ago
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How many times will 1/5 go into 37?
Afina-wow [57]

Answer:

185 times

Step-by-step explanation:

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2 years ago
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