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mafiozo [28]
3 years ago
15

Two sides of scalene abc measure 3 centimeters and 5 centimeters. how many different whole centimeter lengths are possible for t

he third side?
Mathematics
1 answer:
NeTakaya3 years ago
6 0
To determine the possible length of the third side, let us remember the basic rule of the triangle. Each side must be less than the sum of the other two. Here it's 5 and 3
So.

X<5+3

X<8

Length of the third side may be from 0, but not equal 0, offcourse, to 8, but not equal 8

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Jocelyn sells necklaces for $8 each. It costs her $20 for
Charra [1.4K]

We see that the slope intercept is y = 8x - 20. So if we substitute x with 2, because x represents the amount of necklaces sold and we are analyzing her net profit after selling 2 necklaces, that gives us y = 8(2) - 20. Which simplifies to y = -4. So by the time Jocelyn sells 2 necklaces, her net profit will be at -4.

7 0
3 years ago
Substatution and elimination
Salsk061 [2.6K]
Well using elimination is easy because they basically did it for you. 
4x-5y=-6
2x+5y=12
The postive 5y and negative 5y cancel out because -5y plus 5y is zero.
so you are left with
4x=-6
2x=12
Add these together
6x=18
divide both sides by 6 and Solve to find your x
x=3
Now we have to eliminate x to find y.
we multiply the second equation by -2 so it can cancel out so
(2x+5y=12)-2
-4x-10y=24
Add the equations together
4x-5y=-6
-4x-10y=24
You are left with -15y = 30
Solve for y
y = -2
So your final answer for the elimination would be 
(3,-2)
6 0
3 years ago
What are the 2 square roots
tigry1 [53]
Idk sorry try asking another person
3 0
2 years ago
Which of the following is the linear parent function?
vfiekz [6]

Answer:

d

Step-by-step explanation:

A linear parent function is the equation y = x or f(x) = x. A parent function is the simplest equation of a function. Thus, f(x) = x is the simplest of all linear functions and that is the reason why it is called linear parent function.

8 0
3 years ago
The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)= 2/x^3 for x
natulia [17]

Answer:

a) 0.96

b) 0.016

c) 0.018

d) 0.982

e) x = 2

Step-by-step explanation:

We are given with the Probability density function f(x)= 2/x^3 where x > 1.

<em>Firstly we will calculate the general probability that of P(a < X < b) </em>

       P(a < X < b) =  \int_{a}^{b} \frac{2}{x^{3}} dx = 2\int_{a}^{b} x^{-3} dx

                            = 2[ \frac{x^{-3+1} }{-3+1}]^{b}_a   dx    { Because \int_{a}^{b} x^{n} dx = [ \frac{x^{n+1} }{n+1}]^{b}_a }

                            = 2[ \frac{x^{-2} }{-2}]^{b}_a = \frac{2}{-2} [ x^{-2} ]^{b}_a

                            = -1 [ b^{-2} - a^{-2}  ] = \frac{1}{a^{2} } - \frac{1}{b^{2} }

a) Now P(X < 5) = P(1 < X < 5)  {because x > 1 }

     Comparing with general probability we get,

     P(1 < X < 5) = \frac{1}{1^{2} } - \frac{1}{5^{2} } = 1 - \frac{1}{25} = 0.96 .

b) P(X > 8) = P(8 < X < ∞) = 1/8^{2} - 1/∞ = 1/64 - 0 = 0.016

c) P(6 < X < 10) = \frac{1}{6^{2} } - \frac{1}{10^{2} } = \frac{1}{36} - \frac{1}{100 } = 0.018 .

d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)

                                = (\frac{1}{1^{2} } - \frac{1}{6^{2} }) + (1/10^{2} - 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982

e) We have to find x such that P(X < x) = 0.75 ;

               ⇒  P(1 < X < x) = 0.75

               ⇒  \frac{1}{1^{2} } - \frac{1}{x^{2} } = 0.75

               ⇒  \frac{1} {x^{2} } = 1 - 0.75 = 0.25

               ⇒  x^{2} = \frac{1}{0.25}   ⇒ x^{2} = 4 ⇒ x = 2  

Therefore, value of x such that P(X < x) = 0.75 is 2.

8 0
2 years ago
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