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2 years ago

A line passes through the point (2,-4) and has a slope of 5/2 .

Mathematics

1 answer:

BigorU [14]2 years ago

5 0

Answer:

5/2=y+4/x-2

2y+8=5x-10

2y=5x-18

y=5/2x - 9

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For every two laps Jane swims Betty swims 3 laps. If they swim a total of 35 laps how many did each girls swim

7nadin3 [17]

Answer:

betty swam 21 jane swam 14

Step-by-step explanation:

4 0

2 years ago

If electricity power failures occur according to a Poisson distribution with an average of 3 failures every twenty weeks, calcul

Wittaler [7]

Answer:

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

3 failures every twenty weeks

This means that for 1 week, $\mu = \frac{3}{20} = 0.15$

Calculate the probability that there will not be more than one failure during a particular week.

Probability of at most one failure, so:

$P(X \leq 1) = P(X = 0) + P(X = 1)$

Then

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-0.15}*0.15^{0}}{(0)!} = 0.8607$

$P(X = 1) = \frac{e^{-0.15}*0.15^{1}}{(1)!} = 0.1291$

Then

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.8607 + 0.1291 = 0.9898$

0.9898 = 98.98% probability that there will not be more than one failure during a particular week.

6 0

2 years ago

Help please <br><br> something+(-4)=-1

omeli [17]

The answer should be 3.

6 0

3 years ago

Given the parent function f(x) = x give the best description of the graph of y = x3 +3.

oee [108]

Answer: A

Step-by-step explanation:

just took it

6 0

3 years ago

Sadie finished her math test in sixteen minutes less than three times the amount of times it took her friend Laura to finish.if

amid [387]

Answer:

Sadie took 47 minutes to finish her test.

Step-by-step explanation:

Let Laura's time be x minutes.

Then we have:

x + 3x - 16 = 68

4x = 84

x = 21 minutes.

So Sadie took 3(21) - 16 = 63-16

= 47 minutes.

3 0

3 years ago