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VMariaS [17]
3 years ago
9

A rectangular plot of ground is 5 meters longer than it is wide, It’s area is 20,000 square meters

Mathematics
1 answer:
Artyom0805 [142]3 years ago
8 0
I'm assuming you're looking for the dimensions of the plot.  I'm going with that.  ;)  If the length of the plot is 5 meters longer than the width, then L = w + 5.  The area for a rectangle is L*w, and we have an area value of 20,000 so our formula is 20000=(w+5)(w) and 20,000=w^2+5w.  We will bring the 20,000 over by subtraction and set the polynomial equal to 0 to factor and solve for w.  w^2+5w-20,000=0  Solving for w we get values of w=138.9 and -143.9.  Of course the 2 things in math that will never EVER be negative are time and distance/length, so -143.9 is out.  Our width is 138.9 and the length is 138.9 + 5 so the length is 143.9.  And there you go!  Hope that's what you needed!
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45

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Logan is a land surveyor. He wants to determine d, the distance across a lake that cannot be directly measured. He draws this di
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Answer:

The first option     (5.7km)

Step-by-step explanation:

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(Based on the Pathagoras Theorem)

c^{2} = a^{2}  + b^{2}

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Gallup conducted a survey from April 1 to 25, 2010, to determine the congressional vote preference of the American voters.15 The
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Answer:

p ( x > 2746 ) = p ( z > - 1.4552 )

                      = 1 - 0.072806

                      = 0.9272

This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner

Step-by-step explanation:

Given data:

51% of male voters preferred a Republican candidate

sample size = 5490

To win the vote one needs ≈ 2746 votes

In order to advice Gallup appropriately lets consider this as a binomial distribution

n = 5490

p = 0.51

q = 1 - 0.51 = 0.49

Hence n_{p} > 5  while n_{q}  < 5

we will consider it as a normal distribution

From the question :

number of male voters who prefer republican candidate  ( mean ) ( u )

= 0.51 * 5490 = 2799.9

std = \sqrt{npq} = \sqrt{5490 * 0.51 *0.49} = 37.0399  ---- ( 1 )

determine the Z-score = (x - u ) / std  ---- ( 2 )

x = 2746 , u = 2799.9 , std = 37.0399

hence Z - score = - 1.4552

hence

p ( x > 2746 ) = p ( z > - 1.4552 )

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                      = 0.9272

This shows that there is > 92% of a republican candidate winning the election hence I will advice Gallup to declare the Republican candidate winner

7 0
2 years ago
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There are 11 ways a pair of dice can show a 5. Of those, 2 have a sum of 6.

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