Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x-5y= -30

Mathematics

2 answers:

Sergio [31]2 years ago

8 0

Answer
y=6+3/5x
Explanation

anastassius [24]2 years ago

5 0

Slope intercept form is y=mx+b. So let's use the given equation and turn it into this form.

$3x-5y=-30$

Move the -3x to the right side

$-5y=-3x-30$

Divide both sides by -5

$y=\dfrac{3}{5}x+6$

This should be your answer, let me know if you need any clarifications, thanks!

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The length of time it takes to find a parking space at 9 A.M. follows a normal distribution with a mean of 5 minutes and a stand

erastovalidia [21]

Answer:

$z=0.524$

And if we solve for a we got

$a=5 +0.524*2=6.048 \approx 6.05 min$

Step-by-step explanation:

Let X the random variable that represent the lenght time it takes to find a parking space at 9AM of a population, and for this case we know the distribution for X is given by:

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Where $\mu=5$ and $\sigma=2$

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.3$ (a)

$P(X$ (b)

As we can see on the figure attached the z value that satisfy the condition with 0.7 of the area on the left and 0.3 of the area on the right it's z=0.524

If we use condition (b) from previous we have this:

$P(X$