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solniwko [45]
3 years ago
8

The regression equation = 3.648 × 1.182

Mathematics
1 answer:
ziro4ka [17]3 years ago
3 0

Solution:  The regression equation is:

y=3.648 \times 1.182^{x}

Where x is the number of years since it opened in 2003.

We have to find the cost of a vehicle to drive through the safari in 2008.

\therefore x= 2008 - 2003=5

Therefore using the given equation, we have:

y=3.648 \times 1.182^{5}

        =3.648 \times 2.3072

        =8.42

Therefore, the best estimate for the cost of a vehicle to drive through the safari in 2008 is $8.42.

Hence the option C.$8.42 is correct

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kobusy [5.1K]
Since the line is parallell to the x-axis we know the slope is zero: m=0

Using the point-slope formula we can substitute know values:
y=mx+b
4=0(3)+b
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You could also jsut do it by inspection: since it passes through (3,4) and is horizontal it must cross at (0,4) i.e. all y=4.
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4 years ago
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Bumek [7]

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7 0
3 years ago
What is the solution to the following system?
leva [86]

Answer:

(4,3,2)

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\left[\begin{array}{cccc}3&2&1&20\\1&-4&-1&-10\\2&1&2&15\end{array}\right]

Now I will shift rows to make my pivot point (top left) a 1 and so:

\left[\begin{array}{cccc}1&-4&-1&-10\\2&1&2&15\\3&2&1&20\end{array}\right]

Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,

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\left[\begin{array}{cccc}1&-4&-1&-10\\0&9&4&35\\0&14&4&50\end{array}\right]

\frac{R_2}{9}=R_2


\left[\begin{array}{cccc}1&-4&-1&-10\\0&1&\frac{4}{9}&\frac{35}{9}\\0&14&4&50\end{array}\right]


4R2+R1=R1 , -14R2+R3=R3

\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&-\frac{20}{9}&-\frac{40}{9}\end{array}\right]


-\frac{9}{20}R_3=R_3

\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&1&2\end{array}\right]


-\frac{4}{9}R_3+R_2=R2 , -\frac{7}{9}R_3+R_1=R_1


\left[\begin{array}{cccc}1&0&0&4\\0&1&0&3\\0&0&1&2\end{array}\right]


Therefore the solution to the system of equations are (x,y,z) = (4,3,2)

Note: If answer choices are given, plug them in and see if you get what is "equal to".  Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.

7 0
3 years ago
Been posting this question for days now (Q5) ....pls I beg of you if you don't know don't reply ​
Firdavs [7]

Answer:

a. Another letter that have corresponding angles is the letter 'E'

b. Another letter that have alternate angles is the letter 'N'

Step-by-step explanation:

The capital letter 'F' can be described as letter can be presented as follows;

Two horizontal parallel lines touching and perpendicular to a common transversal

Therefore, the parallel lines in the letter 'F' and their common transversal form corresponding angles below each parallel line and the common transversal

The two horizontal lines in the capital letter Z and the inclined transversal form alternate angles between the transversal and the parallel lines, in the region between the parallel lines and on opposite sides of the transversal

a. Another letter that have corresponding angles is the letter 'E'

b. Another letter that have alternate angles is the letter 'N'

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Help please! the question is in the picture below for reference when answering! thank you so much!
stepan [7]

Answer:

x = -1

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