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2 years ago

What is the probability that any given car will have a brake failure if it is make a?

Mathematics

1 answer:

a_sh-v [17]2 years ago

5 0

The probability that any given car will have a brake failure if it is make a is 0.0065%

<h3>How to determine the probability?</h3>

The complete question is added as an attachment

From the table in the question, we have:

P(Brake failure|car a) = 0.0065%

The above represents the required conditional probability

Hence, the probability that any given car will have a brake failure if it is make a is 0.0065%

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In the previous part, we obtained dy dx = 3t2 − 27 −2t . Next, find the points where the tangent to the curve is horizontal. (En

mina [271]

Answer:

(27.55, 7.22), (-11.3, 3.21).

Step-by-step explanation:

When is the tangent to the curve horizontal?

The tangent curve is horizontal when the derivative is zero.

The derivative is:

$\frac{dy}{dx} = 3t^{2} - 2t - 27$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$3t^{2} - 2t - 27 = 0$

$a = 3, b = -2, c = -27$

Then

$\bigtriangleup = b^{2} - 4ac = (-2)^{2} - 4*3*(-27) = 328$

$t_{1} = \frac{-(-2) + \sqrt{328}}{2*3} = 3.35$

$t_{2} = \frac{-(-2) - \sqrt{328}}{2*3} = -2.685$

Enter your answers as a comma-separated list of ordered pairs.

We found values of t, now we have to replace in the equations for x and y.

t = 3.35

$x = t^{3} - 3t = (3.35)^{3} - 3*3.35 = 27.55$

$y = t^{2} - 4 = (3.35)^2 - 4 = 7.22$

The first point is (27.55, 7.22)

t = -2.685

$x = t^{3} - 3t = (-2.685)^3 - 3*(-2.685) = -11.3$

$y = t^{2} - 4 = (-2.685)^2 - 4 = 3.21$

The second point is (-11.3, 3.21).

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3 years ago

In a fruit cocktail, for every 20 ml of orange juice you need 10 ml of apple juice and 15 ml of coconut milk. What proportion of

Romashka [77]

Answer:

5/9

Step-by-step explanation:

First, find the total number of mL in the drink:

20 + 10 + 15

= 45

There are 10 mL of apple juice, so the proportion will be 10/45

Simplify this by dividing the numerator and denominator by 5:

10/45

= 5/9

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3 years ago

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Answer:

4.66666666667

Step-by-step explanation:

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3 years ago

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Answer:

The correct option is;

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Step-by-step explanation:

Given that Jim and Lillian have the dimensions of the wall they want to paint, therefore, in order to know how much paint they need to buy, they should proceed as follows;

1) Determine the quantity of paint required to paint a unit area of the wall, and record the quantity UA

2) Calculate the area, A, of the wall they want to paint, which is 15 ft. × 9 ft. = 135 ft.²

3) The amount of paint needed, AmP is therefore given by the following formula

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