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2 years ago

Alejandro decided on purchasing a $160,000 home. At closing he brought a check for $4940. The closing costs were as follows:

Mathematics

1 answer:

enot [183]2 years ago

5 0

Answer: 1

Step-by-step explanation: 545+2100+695= 3340

$4,940-$3,340= $1,600

1600/160,000 x 100 = 1

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What is 7 × 10^7 in standard form

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$70,000,000$

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2 years ago

A real estate agent is showing homes to a prospective buyer. There are ten homes in the desired price range listed in the area.

Citrus2011 [14]

Answer:

0.48% probability that all four are new

Step-by-step explanation:

The homes are chosen "without replacement", which means that after a home is visited, it is not elegible to be visited again. So we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

Total of 10 homes, so N = 10.

We want 4 new, so x = 4.

In total, there are 4 new, so k = 4.

Sample of four homes, so n = 4.

Then

$P(X = 4) = h(4,10,4,4) = \frac{C_{4,4}*C_{6,0}}{C_{10,4}} = 0.0048$

0.48% probability that all four are new

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3 years ago

Solve for X <br><br> 9 = X /72 and explain how you git the answer

alexira [117]

Answer:

648 is the answer

Step-by-step explanation:

9÷1=x÷72

x=9×72( cross multply)

x=648

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2 years ago

Read 2 more answers

Which of the following is the equation of a line that is perpendicular to 6x+4y=3

VikaD [51]

STEP 1
Make it slope intercept form (y=mx+b)
Y= -6/4x + 3
STEP 2
Make perpendicular(Opposite, Reciprocal) of x
Y = 4/6x + 3

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3 years ago

A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing. What is the

Y_Kistochka [10]

Step-by-step explanation:

A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing.

Perimeter of rectangle (3 sides)= 60 feet

Let 'x' be the width of the wall

$Perimeter = 2(length)+2(width)\\60=2(length)+2x\\\\60-2x=2(length)\\\frac{60-2x}{2} =length\\Length =30-x$

Formula for the area of the rectangle is

$Area=length \cdot width\\A=length(x)$

Replace the length we got using perimeter

$A=(30-x)(x)\\A(x)= 30x-x^2$

To find out the maximum are we take derivative

$A'(x)= 30-2x\\0=30-2x\\-30=-2x\\x=15$

find out second derivative to check whether x=15 is maximum

$A''(x)=-2$

second derivative is negative

So, Maximum area at x=15

To find maximum area we plug in 15 for x in A(x)

$A(x)=30x-x^2\\A(15)=30(15)-15^2\\A(15)=225$

So, maximum area is 225 square feet

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3 years ago