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vazorg [7]
3 years ago
12

Bruce is going to call one person from his contacts at random. He has 25 total contacts. 20 of those contacts are from his neigh

borhood. what is p?
Mathematics
2 answers:
PtichkaEL [24]3 years ago
5 0
No of people not from their neighborhood=25-20=5
total contact s=25
therefore probability to call a person not from his neighborhood=5/25=1/5
therefore P=1/5
kirza4 [7]3 years ago
4 0

Answer:

Step-by-step explanation:

The answer is 1/5

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Factorise and solve : x^3-x^2-4x+4
Alika [10]

(x - 1)(x - 2)(x + 2)

note that the sum of the coefficients 1 - 1 - 4 + 4 = 0

thus x = 1 is a root and (x - 1 ) is a factor

dividing x³ - x² - 4x + 4 by (x - 1)

x³ - x² - 4x + 4 = (x - 1)(x² - 4 ) (note (x² - 4 ) is a difference of squares )

x³ - x² - 4x + 4 = (x - 1)(x - 2)(x + 2)

(x - 1)(x - 2)(x + 2 ) =0

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

x + 2 = 0 ⇒ x = - 2

solutions are x = 1 or x = ± 2



6 0
2 years ago
Find the optimal solution for the following problem. (Round your answers to 3 decimal places.)
irina1246 [14]

Answer:

Maximize C =9x + 7y

8x + 10y \leq 17

11x + 12y\leq 25

and x ≥ 0, y ≥ 0

Plot the lines on graph

8x + 10y \leq 17

11x + 12y\leq 25

x\geq 0

y\geq 0

So, boundary points of feasible region are (0,1.7) , (2.125,0) and (0,0)

Substitute the points in  Maximize C

At  (0,1.7)

Maximize C =9(0) + 7(1.7)

Maximize C =11.9

At  (2.125,0)

Maximize C =9(2.125) + 7(0)

Maximize C =19.125

At   (0,0)

Maximize C =9(0) + 7(0)

Maximize C =0

So, Maximum value is attained at   (2.125,0)

So, the optimal value of x is 2.125

The optimal value of y is 0

The maximum value of the objective function is 19.125

4 0
2 years ago
Rationalise the denominator by 6 root 7 minus 1
nikklg [1K]

Answer:

Assuming the numerator was 1.

(6\sqrt{7}+1)/251

Step-by-step explanation:

Assuming the numerator was 1.

1/(6\sqrt{7} -1)\\ (6\sqrt{7}+1)/((6\sqrt{7} - 1)(6\sqrt{7} + 1))\\ (6\sqrt{7}+1)/((6\sqrt{7})^2 + 6\sqrt{7} - 7\sqrt{7} - 1)\\(6\sqrt{7}+1)/((6\sqrt{7})^2 - 1)\\(6\sqrt{7}+1)/((36*7 - 1)\\(6\sqrt{7}+1)/251

7 0
2 years ago
Katie earns 15$ each hour. Round to total time katie worked to the nearest hour and estimate her pay by using mulitplacation
Cloud [144]

Answer:

How long did she work for though?

Step-by-step explanation:

3 0
2 years ago
Help me will give brain
Aleonysh [2.5K]

Answer:

The answer is C

Step-by-step explanation:

Let's solve your equation step-by-step.

4(x−2)=6x+18

Step 1: Simplify both sides of the equation.

4(x−2)=6x+18

(4)(x)+(4)(−2)=6x+18(Distribute)

4x+−8=6x+18

4x−8=6x+18

Step 2: Subtract 6x from both sides.

4x−8−6x=6x+18−6x

−2x−8=18

Step 3: Add 8 to both sides.

−2x−8+8=18+8

−2x=26

Step 4: Divide both sides by -2.

−2x/−2=26/−2

x=−13

Answer:

x=−13

3 0
2 years ago
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