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dexar [7]
4 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]4 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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The rule for a pattern is ''take half the number to get the next number.'' the first number in the pattern is 16 what is the nex
vfiekz [6]

Answer:

8

Step-by-step explanation:

Let the next number be x

'taking half the number to get the next number. is expressed as;

1/2 of 16 = x

x = 1/2 *16

x = 16/2

x = 8

hence the next number will be 8

7 0
3 years ago
Carlos runs 7 miles in 57 3/4 mins. how fast did he run each mile?
san4es73 [151]
To find how much minutes Carlos runs each mile, you must first multiply 57.75 by 1 which is 57.75 because 57 3/4 and 57.75 is the same thing. Next, you must divide 57.75 by 7. Therefore, Carlos runs 8.25 minutes a mile.
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3 years ago
For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim
laiz [17]

Answer:

Part 1) A=36(\pi-2)\ cm^2

Part 2) P=6(\pi+2\sqrt{2})\ cm

Step-by-step explanation:

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

so

A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)

we have that the base and the height of triangle is equal to the radius of the circle

r=12\ cm\\b=12\ cm\\h=12\ cm

substitute

A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2

simplify

Factor 36

A=36(\pi-2)\ cm^2

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r

substitute the given values

C=\frac{1}{2}\pi (12)\\C=6\pi\ cm

The hypotenuse of right triangle is equal to (applying the Pythagorean Theorem)

AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm

simplify

AC=12\sqrt{2}\ cm

Find the perimeter

P=(6\pi+12\sqrt{2})\ cm

simplify

Factor 6

P=6(\pi+2\sqrt{2})\ cm

8 0
3 years ago
Write the equation in slope intercept form. what is the slope and y intercept. -9x+10y=-9
Svet_ta [14]
  • Slope-Intercept Form: y = mx + b, with m = slope and (0,b) as the y-intercept.

So firstly, add both sides by 9x: 10y=9x-9

Next, divide both sides by 10 and <u>your slope-intercept form is y=\frac{9}{10}x-\frac{9}{10}</u>

Now looking at our slope-intercept form equation, <u>the slope is 9/10 and the y-intercept is (0, -9/10).</u>

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Mariana [72]

Answer:

Step-by-step explanation:

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