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3 years ago

Determine the slope of the line 5x − 3y − 12 = 0.

Mathematics

1 answer:

givi [52]3 years ago

6 0

Answer:

slope of a line is given by -A/B

Here A=5 and B= -3

so , when we plug in the values: -(5/-3) = 5/3

five thirds lol.

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2 years ago

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6 months ago

If the measure of one exterior angle of a regular polygon is 156 degrees , how many sides does the polygon have ?

Burka [1]

Answer:

15 sides

Step-by-step explanation:

with regular polygons it is best to work with the exterior angles since the sum of exterior angles is 360 degrees

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2 years ago

Solve the above equation for x.

Stella [2.4K]

Answer:

x=6

Step-by-step explanation:

(1/3x+2=4)x3

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x=6

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2 years ago

Read 2 more answers

The time between arrivals of taxis at a busy intersection is exponentially distributed with a mean of 10 minutes. (a) What is th

Sindrei [870]

Answer:

a) 0.0025

b) 0.9975

c) 23.03 minutes

d) 23.03 minutes

Step-by-step explanation:

Let X be the random variable that measures the time waited for a taxi.

If X is exponentially distributed with a mean of 10 minutes,then the probability that you have to wait more than t minutes is

$\large P(X>t) = e^{-t/10}$

1 hour = 60 minutes, so the probability that you wait longer than one hour is

$\large P(X>60)=e^{-6}=0.0025$

Due to the “memorylessness” of the exponential distribution, the probability that you have to wait 10 or less minutes after you have already waited for one hour, is the same as the probability that you have to wait 10 or less minutes

$\large P(X\leq 10)=1-e^{-6}=0.9975$

We want x so that

P(X>x)=0.1

$\large e^{-x/10}=0.1\rightarrow -x/10=ln(0.1)\rightarrow x=-10ln(0.1)=23.03\;minutes$

We want P(X<x)=0.9

$\large 1-e^{-x/10}=0.9\rightarrow e^{-x/10}=0.1\rightarrow x=-10ln(0.1)=23.03\;minutes$

4 0

2 years ago