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Gnoma [55]
3 years ago
9

Solve for a = ____. 1. 6 2. 4 3. 9

Mathematics
1 answer:
garik1379 [7]3 years ago
8 0
The answer is 3, or 9
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A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. if 13 wood and 10 graphite are defective and
Nimfa-mama [501]

Let's split the problem in non-intersecting subsets: we have 87 good wood racquets, 13 defective wood rackets, 90 good graphite racquets, 10 defective graphite rackets.


The probability that the racket is wood or defective covers the following subsets: good wood, defective wood and defective graphite, which have, respectively, 87, 13 and 10 elements.


Since the total is 200 elements, the probability is


\frac{87+13+10}{200} = \frac{110}{200} = 0.55

8 0
3 years ago
Use structure find the perimeter of equilateral triangle klm given the vertices k(-2, 1) and m(10, 6).
Deffense [45]

Perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.

As given in the question,

Coordinates of vertices K(-2,1) and M(10,6)

KM = \sqrt{ (10-(-2)^{2} +(6-1)^{2} }

      = \sqrt{12^{2}+5^{2}  }

      = 13units

In equilateral triangle  KL = LM = KM = 13 units

Perimeter of equilateral triangle KLM = 13 +13 +13

                                                           = 39 units

Therefore, perimeter of the equilateral triangle KLM with vertices K(-2 ,1) and M (10,6) is equal to 39 units.

Learn more about perimeter here

brainly.com/question/6465134

#SPJ4

4 0
1 year ago
How do you eliminate the parameter theta to find a Cartesian equation of the curve: x=sin(1/2 theta), y=cos(1/2 theta), 0 is les
kiruha [24]
The answer to the problem is as follows:

x = sin(t/2) 
<span>y = cos(t/2) </span>

<span>Square both equations and add to eliminate the parameter t: </span>

<span>x^2 + y^2 = sin^2(t/2) + cos^2(t/2) = 1 </span>

<span>The final step is translating the original parameter limits into limits on x and y. Over the -Pi to +Pi range of t, x varies from -1 to +1, whereas y varies from 0 to 1. Thus we have the semicircle in quadrants I and II: y >= 0.</span>
6 0
3 years ago
Translate this sentence into an equation: 162 is the product of 9 and Gall's age. Use the variable g to represent Gall's age.
oksano4ka [1.4K]
The equation is
9 × g = 162
9g = 162

Solving foe Gall's age,
9g = 162
g = 162 ÷ 9
g = 18
8 0
3 years ago
What are the solution(s) to the quadratic equation x² - 25 = 0?
gtnhenbr [62]

Answer:

x = ±5

Step-by-step explanation:

x² - 25 = 0

x² = 25

√x² = √25

x = ±5

Check:

5² - 25 = 0

-5² - 25 = 0

25 - 25 = 0

4 0
1 year ago
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