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nikitadnepr [17]
3 years ago
14

carlos provides dog- walking services in his neighborhood. For each walk, he charges a flat fee of $5 for clean-up and $6 per do

g. Write an equation to represent the relation
Mathematics
1 answer:
dimulka [17.4K]3 years ago
5 0
Let x be the number of dogs.  The equation would be

y = 5+6x.

The flat fee is independent of the number of dogs.  The $6 per dog fee gets multiplied by the number of dogs.
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The endpoints of the directed line segment AB are A(−7, 4) and B(8, 9). Find the coordinates of point P along line segment AB so
bekas [8.4K]

Answer:

(-1,5)

Step-by-step explanation:

When a line segment is divided in the ratio m:n, we use the section formula to determine the point P which divides the line segment:

The coordinates of x and y are:

(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)

Given:

A(x_1,y_1)=(-7, 4)\\B(x_2,y_2)=(8, 9)\\AP:PB=m:n=2:3

The coordinates of P is:

(x,y)=\left(\dfrac{2*8+3*-7}{2+3}, \dfrac{2*9+3*4}{2+3}\right)\\=\left(\dfrac{-5}{5}, \dfrac{25}{5}\right)\\\\=(-1,5)

7 0
3 years ago
A real estate agent has surveyed houses in twenty nearby zip codes in an attempt to put together a comparison for a new property
gladu [14]

Answer:

A a house in that market that sells for ​$300,000 is unusual.

Step-by-step explanation:

Let the random variable <em>X</em> denote the price of a house and the random variable <em>Y</em> denote the living area of a house.

The number of houses surveyed by the real estate agent is, <em>n</em> = 1057.

Assume that both the random  variables, <em>X </em>and <em>Y</em> are approximately normally distributed.

That is,

X\sim N(\$169400,\ \$68438)\\\\Y\sim N(2058\ \text{sq. ft.},\ 790\ \text{sq. ft.})

To compute the probability of a Normal distribution we first need to convert the raw scores to <em>z</em>-scores.

z=\frac{\text{Raw score}-\mu}{\sigma}

A <em>z</em>-score higher than 1.96 and lower than -1.96 are considered unusual. The values having these <em>z</em>-scores are considered as outliers.

(1)

Compute the <em>z</em>-score for <em>X</em> = 300000 as follows:

z=\frac{X-\mu}{\sigma}\\\\=\frac{300000-169400}{68438}\\\\=2.70

(2)

Compute the <em>z</em>-score for <em>Y</em> = 3000 as follows:

z=\frac{Y-\mu}{\sigma}\\\\=\frac{3000-2058}{790}\\\\=1.19

The <em>z</em>-score for a house in that market that sells for ​$300,000 is more than 1.96.

This implies, that the price $300,000 is unusually high.

The complete statement is:

The house that sells for ​$300 comma 000 has a​ z-score of <u>2.70</u> and the house with 3000 sq ft has a​ z-score of <u>1.19</u>.

5 0
3 years ago
Okay ik this isn’t math related but my house caught on fire last night and yet my teachers are making me take my exams still lik
kherson [118]
This is a homework site but that sucks
3 0
3 years ago
X2 + y2 = 9<br> x + y = 2
Sergeu [11.5K]

Answer:

I think its 4,5. Not entirely sure but it makes sense

8 0
3 years ago
A rectangular lot is 20 yards longer than it is wide and its area is 2400 square yards. Find the dimensions of the lot
jeka94

Answer:

120

Step-by-step explanation:

Divide 2400 by 20 to get your answer! It may be wrong

8 0
3 years ago
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