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3 years ago

(08.03)Jasper is using the following data samples to make a claim about the house values in his neighborhood:

1 answer:

7 0

I think its D (or #4 - He Should use the mean because there are no outliers that affect the mean) because the Median would be $175,000 but the Mean would be $638,400. It's honestly almost up to you.

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A tortoise makes a journey in two parts; it can either walk at 4cm/s or crawl at 3cm/s. If the tottoise walks the first part and

Ugo [173]

Answer:

120

240

Step-by-step explanation:

We call the length of first part x

Length of second part = y

In the first scenario, it took the tortoise 110 sec to walk the first part and crawl the second.

So,

We have this equation,

x/4 + y/3 = 110

We take the LCM

(3x + 4y)/12 = 110

When we cross multiply

3x + 4y = 110x12

3x + 4y = 1320 ----- equation 1

For scenario 2

x/3 + y/4 = 100

When we take the LCM

(4x + 3y)/12 = 100

We cross multiply

4x + 3y = 100x12

4x + 3y = 1200 ------ equation 2

We now have two equations and we will solve for x and y using simultaneous linear equation.

3x + 4y = 1320 ----- 1

4x + 3y = 1200 ----- 2

We subtract equation 2 from 1 to get

- x + y = 120

We make y subject

y = x + 120 ----- 3

We put the value of y in equation 3 into equation 1

3x + 4(x + 120) = 1320

3x + 4x + 480 = 1320

7x + 480 = 1320

7x = 1320-480

7x = 840

We divide through by 7

x = 840/7

x = 120

We put value of x in equation 3

y = x + 120

y = 120 + 120

y = 240

120 and 240 are the lengths of the 2 parts of the journey.

Thanks

5 0

3 years ago

Which number is closest to - 102 (square root)? A. -11.5 B. -10.0 C. -9.7 D. -11.1

andre [41]

Answer:

B. -10.0

Step-by-step explanation:

-10.0² = -100

thus= -10.0 is the closest to -102 (square root)

3 0

3 years ago

Read 2 more answers

17. x^2 + 2x + 1

valentina_108 [34]

Answer:

E. This polynomial could be factored by using grouping or the perfect squares methods.

Step-by-step explanation:

x^2 + 2x + 1

There is no greatest common factor

This is a perfect square

a^2 + 2ab+ b^2 = ( x+1)^2

We can factor this by grouping

x^2 + 2x + 1

(x^2 +x) + (x+1)

x( x+1) + x+1

Factor out x+1

( x+1) ( x+1)

This is not the difference of squares since there is no subtraction

5 0

3 years ago

The temperature at 7pm was 45 degrees Fahrenheit. From 7pm to 11pm the temperature decreased 5 degrees each hour. Which equation

Svetllana [295]

t = 45 - 5(11-7)

Hope that helps:)

7 0

3 years ago

Read 2 more answers

Use the definition mtan=lim

Leokris [45]

(a) mtan refers to the slope of the tangent line. Given f(x) = 9 + 7x ², compute the difference quotient:

$\dfrac{f(x+h)-f(x)}h = \dfrac{(9+7(x+h)^2)-(9+7x^2)}h = \dfrac{(9+7x^2+14xh+7h^2)-9-7x^2}h = \dfrac{14xh+7h^2}h$

Then as h approaches 0 - bearing in mind that we're specifically considering h near 0, and not h = 0 - we can eliminate the factor of h in the numerator and denominator, so that

$m_{\rm tan} = \displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{14xh+7h^2}h = \lim_{h\to0}(14x+7h) = 14x$

and so the slope of the line at P (0, 9), for which we take x = 0, is 0.

(b) The equation of the tangent line is then y = 9.

4 0

2 years ago