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Sati [7]
3 years ago
9

Here is a uniform probability distribution.

Mathematics
1 answer:
Darya [45]3 years ago
4 0

a) P(4\le X\le6)=\dfrac25 because it is equal to the area of the shaded region between X=4 and X=6, and the probability that X falls within some interval is given by the area under the PDF.

b) a=3 because the shaded region is a rectangle of height 1/5 (by virtue of X following a uniform distribution over the interval [2, 7], which has length 5).

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Systems of Linear Equations with Infinitely Many Solutions
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Cary is 4 4 years older than dan. in 9 9 years the sum of their ages will be 78 78. find the age of each man now.
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8 0
4 years ago
A quadratic equation is shown below: 3x2 − 15x + 20 = 0 Part A: Describe the solution(s) to the equation by just determining the
Triss [41]

Answer:

\text{The roots of }3x^2+5x-8=0\text{ are }x=1,\frac{-8}{3}

Step-by-step explanation:

\text{Part A: Given a quadratic equation }3x^2-15x+20=0  

\text{Comparing above equation with }ax^2+bx+c=0  

a=3, b=-15, c=20

Discriminant can be calculated as

D=b^2-4ac

D=(-15)^2-4(3)(20)=225-240=-15

The roots are imaginary

The solution is

x=\frac{-b\pm\sqrt{D}}{2a}

x=\frac{-(-15)\pm \sqrt{-15}}{2(3)}=\frac{15\pm\sqrt{15}i}{6}

The roots are not real i.e these are imaginary    

\text{Part B: Given a quadratic equation }3x^2+5x-8=0  

\text{Comparing above equation with }ax^2+bx+c=0  

a=3, b=5, c=-8

Discriminant can be calculated as

D=b^2-4ac

D=(5)^2-4(3)(-8)=25+96=121>0

The roots are real

By quadratic formula method

The solution is

x=\frac{-b\pm\sqrt{D}}{2a}

x=\frac{-5)\pm \sqrt{121}}{2(3)}=\frac{-5\pm 11}{6}

x=1,\frac{-8}{3}

which are required roots.

I choose this method because I can get the solutions directly by substituting the values in formula, and I don't have to guess the possible solutions.

6 0
3 years ago
Without using a calculator, determine the number of real zeros of the function
natta225 [31]
There should be a total of 3 zeros because the largest exponent is 3. 
8 0
3 years ago
Can someone help me with this please?
torisob [31]

Answer:

1548.66 feet

Step-by-step explanation:

We can draw a straight line down the middle to form two right triangles

This will split the 70 degree angle into two 35 degree angles

We now have two 90-35-55 right triangles

Now we can use cos(55) * the hypotenuse on both sides to get the distance across the lake

Thus we have:

1200cos(55 = 688.29

1500cos(55 = 860.36

Best of luck

5 0
2 years ago
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