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3 years ago

Which of the following is the standard form of the equation 5x2 - 20x = 15?

2 answers:

4 0

It is C. The first part is raised to the 2nd power. so it goes first since that is the highest. then the -20x because variables are understood to the power of 1, while normal numbers are understood to the power of 0. so the order is highest to lowest (2,1,0)

Nuetrik [128]3 years ago

4 0

$5x^2 - 20x = 15$

Divide both sides by 5, it would give :

$x^2-4x=3$

After it gives :

$x^2-4x-3=0$

So the answer would be : B.

Hope this helps !

Photon

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Michelin Tire Company wishes to set a minimum mileage guarantee on its new MX100 tire. Tests reveal the mean mileage is 67,900 w

Keith_Richards [23]

Answer:

The minimum guaranteed mileage is $x = 71489.55$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 67900$

The standard deviation is $\sigma = 2050$

Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as

$P( X \ge x ) =1- P( \frac{X - \mu }{\sigma } < \frac{ x - 67900 }{ 2050} ) = 0.04$

$\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )$

$P( X \ge x ) =1- P( Z$

=> $P( X \ge x ) = P( Z$

=> $z = \frac{ x - 67900 }{ 2050}$

From the z table, the critical value corresponding to 0.96 to the left of the curve is

$z = 1.751$

$1.751 = \frac{ x - 67900 }{ 2050}$

=> $x = 71489.55$

4 0

3 years ago

e) Given the following: Let X = {1, 2, 3, 4) and a relation R on X as R= {(1,2), (2,3), (3,4)}. Find the reflexive and transitiv

Naddika [18.5K]

Answer:

The answer is $\{(1,1),(2,2),(3,3),(4,4),(1,2)(2,3)(3,4),(1,3),(1,4)\}$

Step-by-step explanation:

Remember that a reflexive relation $R\subset \mathcal{P}(X)$ , where $\mathcal{P}(X)$ is the power set of $X$ , is one which conteins the ordered pairs of the form $(a,a)$ , for $a\in X$ .

So, As the reflexive and transitive closure of $R$ (that we will denote by $\overline{R}$ ) is in particular reflexive, we must add to $R$ the elements $\{(1,1) , (2,2),(3,3),(4,4) \}$

A transitive relation $R$ is one in which if the pair $(a,b)$ and the pair $(b,c)$ are in there, then the pair $(a,c)$ must be there too.

So, to complete the relation $R$ to be reflexive and transitive we must add the pair $(1,3)$ (because $(1,2),(2,3)$ are in $R$ ), the pair $(2,4)$ , and the pair $(1,4)$ because we added the pair $(2,4)$ .