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dexar [7]
3 years ago
12

The probability that a house in an urban area will be burglarized is 6​%. if 23 houses are randomly​ selected, what is the proba

bility that none of the houses will be​ burglarized?
Mathematics
1 answer:
Marat540 [252]3 years ago
6 0
This is binomial probability with n=23 and p=0.06.  We want P(0 houses burglarized).  Using a calculator,

binompdf(23,0.06,0) = 0.241 (answer)
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Hulk left home and walked 8 blocks west. Then he turned and walked 6 blocks north. If each block is 500 ft. long, how far is Hul
son4ous [18]
The answer is 5000 ft 

His displacement is actually the hypotenuse (c) of the triangle with sides 6 blocks and 8 blocks.
According to the Pythagorean theoreme:
c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10 blocks

Since 1 block is 500ft long, then 10 blocks are 5000 ft long:
1 : 500ft = 10 : x
x = 10 * 500ft / 1 = 5000 ft
3 0
3 years ago
Mr. Nelson is buying property in the shape of a triangle to build a new house. If the property costs $42.50 per square foot, how
julsineya [31]
First, you find the area of the figure. Use the formula a=h(b/2)

a=h(b/2)
a=47(98/2)
a=47(49)
a=2303

Now, you multiply that by $42.50 to find out how much he will pay. 

2,303x42.50=97,877.50.

He will pay $97,877.50.
5 0
3 years ago
Read 2 more answers
Directions: identify weather the problem has a minimum or a maximum type an “X” in the box next to your answer
alekssr [168]

Answer:

A)   minimum

B)   maximum

C)   minimum

Step-by-step explanation:

A positive x² coefficent means the parabola opens up and the vertex is the minimum

A negative x² coefficent means the parabola opens up and the vertex is the maximum

---------------------------------

A)   minimum

B)   maximum

C)   minimum

3 0
3 years ago
If
Tju [1.3M]

Answer:

Step-by-step explanation:

Rationalize the denominator of b. So, multiply the numerator and denominator by \sqrt{x}

b = \frac{(1-2\sqrt{x}) *\sqrt{x}}{\sqrt{x}*\sqrt{x}  }=\frac{1*\sqrt{x} -2\sqrt{x} *\sqrt{x} }{\sqrt{x} *\sqrt{x} }\\\\=\frac{\sqrt{x} -2x}{x}\\

Now, find a +b

a +b = \frac{2x+\sqrt{x} }{x}+\frac{\sqrt{x} -2x}{x}\\\\=\frac{2x+\sqrt{x} +\sqrt{x} -2x}{x}

Combine like terms

= \frac{2x-2x+\sqrt{x} +\sqrt{x} }{x}\\\\=\frac{2\sqrt{x} }{x}

Now find (a + b)²

(a +b)² = (\frac{2\sqrt{x} }{x})^{2}

          = \frac{2^{2}*(\sqrt{x} )^{2}}{x^{2}}\\\\= \frac{4* x}{x^{2}}\\\\= \frac{4}{x}

Hint: \sqrt{x} *\sqrt{x}  =\sqrt{x*x}=x

5 0
2 years ago
Use the pattern below for questions 6 - 8.
Yuliya22 [10]

Answer:

See below

Step-by-step explanation:

<u>The sequence given</u>

  • 6, 19, 58, 175

<u>We see the pattern: triple the previous term plus 1</u>

  • 2) 19 = 6*3 + 1
  • 3) 58 = 19*3 + 1
  • 4) 175 = 58*3 + 1

<u>Next two terms</u>

  • 5) 175*3 + 1 = 526
  • 6) 526*3 + 1 = 1579

<u>Following two terms</u>

  • 7) 1579*3 + 1 = 4738
  • 8) 4738*3 + 1 = 14215

4 0
3 years ago
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