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Stolb23 [73]
3 years ago
6

LaTanya leaves her house at 12:30pm and bikes at 12 mi/h to marta’s House she stays at marta’s House for 90mij both girls walk b

ack to laTanya’s house at 2.3mi/h . They arrive at LaTanya house at 3:30pm how far is marat’s house from laTanya house
Mathematics
1 answer:
babymother [125]3 years ago
7 0

Answer:

2.9 mi

Step-by-step explanation:

The time difference t between 12.30pm and 3.30pm is 3h.

Let the distance to Marat's house be s.

The equation to calculate velocity v is given by:

v = distance / time.

Now you can write an equation for the time difference t and use the two velocities and the 90 min(= 1.5h) she stays:

3 = s/12 + 1.5 + s/2.3

Solve this equation for s:

(1/12 + 10/23)* s = 1.5

s = 2.9

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A copy machine makes 84 copies in 3 minutes and 30 seconds, how many copies does it make per minute.
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Answer:

24

Step-by-step explanation:

3 minutes and 30 seconds = 3.5 minutes

84/3.5 = 24copies/minute

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2 years ago
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The number of minutes that Samantha waits to catch the bus is uniformly distributed between 0 and 15 minutes. What is the probab
Drupady [299]

Using the uniform distribution, it is found that there is a 0.3 = 30% probability that Samantha has to wait less than 4.5 minutes to catch the bus.

<h3>What is the uniform probability distribution?</h3>

It is a distribution with two bounds, a and b, in which each outcome is equally as likely.

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

In this problem, the time is uniformly distributed between 0 and 15 minutes, hence the bounds are a = 0 and b = 15.

The probability that Samantha has to wait less than 4.5 minutes to catch the bus is given by:

P(X < 4.5) = \frac{4.5 - 0}{15 - 0} = 0.3

More can be learned about the uniform distribution at brainly.com/question/13889040

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2 years ago
Write an equation of the trend line rounding to two decimal places needed for this problem choose the points (1990, 253) and (20
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6 0
3 years ago
Write the y-intercept of the graph of 9x + 6y = 27
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Answer:

y= −3 /2 x+ 9/ 2

Step-by-step explanation:

Let's solve for y.

9x+6y=27

Step 1: Add -9x to both sides.

9x+6y+−9x=27+−9x

6y=−9x+27

Step 2: Divide both sides by 6.

6y /6=−9x+27 /6

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Answer:

y= −3 /2 x+ 9/ 2

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A,D,E,F

Step-by-step explanation:

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