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2 years ago

7. The lifetime of a certain brand of tires is approximately normally distributed, with a

Mathematics

1 answer:

Aleonysh [2.5K]2 years ago

7 0

Answer:

0.0025551

Step-by-step explanation:

Given that:

Mean (m) = 40000

Standard deviation (s) = 2500

P(x < 33,000) :

USing the relation to obtain the standardized score (Z) :

Z = (x - m) / s

Z = (33000 - 40000) / 2500 = - 2.8

p(Z < -2.8) = 0.0025551 ( Z probability calculator)

Probability of Tyre wagering out before mileage limit is reached = 0.0025551

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Calculate two iterations of Newton's Method for the function using the given initial guess. (Round your answers to four decimal

pickupchik [31]

Answer:

The first and second iteration of Newton's Method are 3 and $\frac{11}{6}$ .

Step-by-step explanation:

The Newton's Method is a multi-step numerical method for continuous diffentiable function of the form $f(x) = 0$ based on the following formula:

$x_{i+1} = x_{i} -\frac{f(x_{i})}{f'(x_{i})}$

Where:

$x_{i}$ - i-th Approximation, dimensionless.

$x_{i+1}$ - (i+1)-th Approximation, dimensionless.

$f(x_{i})$ - Function evaluated at i-th Approximation, dimensionless.

$f'(x_{i})$ - First derivative evaluated at (i+1)-th Approximation, dimensionless.

Let be $f(x) = x^{2}-8$ and $f'(x) = 2\cdot x$ , the resultant expression is:

$x_{i+1} = x_{i} -\frac{x_{i}^{2}-8}{2\cdot x_{i}}$

First iteration: ( $x_{1} = 2$ )

$x_{2} = 2-\frac{2^{2}-8}{2\cdot (2)}$

$x_{2} = 2 + \frac{4}{4}$

$x_{2} = 3$

Second iteration: ( $x_{2} = 3$ )

$x_{3} = 3-\frac{3^{2}-8}{2\cdot (3)}$

$x_{3} = 2 - \frac{1}{6}$

$x_{3} = \frac{11}{6}$

7 0

3 years ago

P(green and a 2) What is the compound probability?

MatroZZZ [7]

Answer:

something

Step-by-step explanation:

3 0

3 years ago

Write the standard form of the equation of the line through the given point with the given slope. point (-1.0); slope -2/3

VMariaS [17]

Answer:

Step-by-step explanation:

When given a point and a slope, the best equation to use is the point-slope formula, y - k = m(x - h)

which here becomes:

y - 0 = m(x + 1), or y = (-2/3)(x + 1), or y = (-2/3)x - 2/3

If you want this in standard form, first clear the fractions by multiplying all terms by 3: 3y = -2x - 2

Now add 2x to both sides, obtaining: 2x + 3y = -2 (in "standard form."

6 0

2 years ago

Is the relationship between the 7s in 7742 and the 7s in 7785 different in any way

KatRina [158]

No they both represent 7 thousand 7 hundred

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3 years ago

Niko wants to put soil in his garden shown below. If soil comes in bags that fill 6 square yards each, how many bags of soil sho

bearhunter [10]

Answer:

444 pot soils

Step-by-step explanation:

4 0

3 years ago