Q3: Suppose that the time to failure (in hours) of fans in a personal computer can be modeled by an exponential distribution with A = 0.0003. (a) What proportion of the fans will last at least 10,000 hours? (b) What proportion of the fans will last at most 7000 hours?

Q: 3/5 48 M5

A: Given, Simplify   450+35

Q: Direction of opening: Zeros: y-intercept: Vertex: Axis of Symmetry: Max or Min Value:

A:

Q: What Is the equation of the graph? Oy= - x O y= 4 x OY=4x

A: Clearly the line is passing through the origin.

Q: e. lim f(1) f. lim f(r) 2 g. lim f(1)

A: e) -1+ is greater than -1, so we will take the second piece of the function

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A: →Use trigonometric relation to find the value of x.                       sinθ…

Q: Calculate the limit algebraically: x³ + 8 lim x→-2 x² + 7x + 10

A: Consider the given expression, If we substitute  in the expression we get  form. so, use L-hospital…

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A: This question is about application of complimentary angles

Q: 3) Given that sin 0 : and 0 is in quadrant II, 4 %3D a) Find tan 0 b) Find sec 0

A:

Q: 3. (z, y)(1.5x, 1.5y) A' will be located at ( B' will be located at ( C' will be located at (

A: We have given the scalar factor i.e . (x,y)=(1.5x,1.5y)

Q: Find the discriminant and determine how many solutions the function has. 222- 10z-5 The value of the…

A:

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A: Given  12 + 22 + 32 + ⋅ ⋅ ⋅ + n2 = n(n+1)(2n+1)6Step 1   P(1) is true             P(1) = I2 = 1   ⇒…