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3 years ago

The probably that a new car of a particular make will have a problem with the fueline is given in the table

Mathematics

1 answer:

AURORKA [14]3 years ago

5 0

Answer:

Step-by-step explanation:

The probability of there being a problem in the fuel line of the cars of brand D is stated as being 0.0110%. This means that there is a 0.0110% chance that there will be a problem in the fuel line of a car from brand D.

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2 years ago

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.

ikadub [295]

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

For ΔWXY,

$\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}$

Now,

$\dfrac{w}{\sin W}=\dfrac{x}{\sin X}$

$\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}$

$900\sin X=680\sin (157^\circ)$

$\sin X=\dfrac{680}{900}\sin (157^\circ)$

$\sin X=0.295219$

$X=\sin^{-1}(0.295219)$

$X=17.17067$

$X\approx 17$

Therefore, the value of ∠X is 17 degrees.

5 0

3 years ago

Hi!

solniwko [45]

Answer:

$y = 1x - 4$

Step-by-step explanation:

You have to solve for the x intercept on the equation

$2x-5y=8\\2x-5(0)=8\\2x=8\\x=4\\(4,0)$

That is the x intercept for that equation.

Then solve for the y intercept on the equation

$4x-3y=12\\4(0)-3y=12\\-3y=12\\y=-4\\(0,-4)$

That is the x intercept for that equation.

Use that to find slope for point slope form

$\frac{y_{2}-y_{1}}{x_{2}-_{1}} \\\\\frac{-4-0}{0-4} \\\\\frac{-4}{-4} \\\\1$

1 is the slope

and slope makes B the y intercept so the equation is

$y = 1x - 4$

8 0

3 years ago