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aleksklad [387]
3 years ago
9

George is building a table out of boards that are 3.75 inches wide. He wants the table to be at least 36 inches wide. How many b

oards does he need to buy? Round to the nearest whole number
Mathematics
1 answer:
balu736 [363]3 years ago
7 0

Answer:

10 whole boards

Step-by-step explanation:

1. 36 divided by 3.75 = 9.6

2. Round to the nearest whole number

3. 9.6 rounded = 10

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Traffic flow is traditionally modeled as a Poisson distribution.A traffic engineer monitors the traffic flowing through an inter
babymother [125]

Answer:

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

Step-by-step explanation:

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 time interval.

In this problem, we have that:

A traffic engineer monitors the traffic flowing through an intersection with an average of 6 cars per minute. So in 2 minutes, 12 cars are expected to flow through the intersection.

If 75% of vehiclesare from state, what is the probability that during next 2 min exactly 5 cars passing an intersection are from state?

We want to know how many of these cars are from state. In 2 minutes, 0.75*12 = 9 cars from the state are expected to pass the intersection, so \mu = 9.

We want to find P(X = 2).

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

P(X = 5) = \frac{e^{-9}*9^{5}}{(5)!} = 0.0607

There is a 6.07% probability that during next 2 min exactly 5 cars passing an intersection are from state.

7 0
3 years ago
The fourth term of an AP is 13 and the second term is 3 find the common difference<br><br>​
kogti [31]

Answer:

5

Step-by-step explanation:

<h3>Given</h3>

<u>In and AP</u>

  • a4 = 13
  • a2 = 3
  • d = ?
<h3>Solution</h3>

<u>Formula for the terms of AP:</u>

  • a4 = a + 3d
  • a2 = a + d

<u>The difference of terms:</u>

  • a + 3d - (a - d) = 13 - 3
  • 2d = 10
  • d = 5
3 0
3 years ago
If the point A is located at (-5,-3) and A’ is the image of A after being rotated about the origin by 270 (counter clockwise). W
Rom4ik [11]

Answer:

D (-3, 5)

Step-by-step explanation:

270 counter clockwise is the same as 90 clockwise.

For a 90° clockwise or 270° counter clockwise, take the opposite of the x coordinate then switch the coordinates.

(-5, -3) -----> (5, -3) ------> (-3, 5)

You can also rotate your screen 90° clockwise to see the new coordinates for A.

3 0
2 years ago
PLease Help! I will give you the brainiest and a lot of points!
gtnhenbr [62]

Answer:

this is the venn diagram I guess..

Step-by-step explanation:

find answer from this.. and check if it is correct

6 0
2 years ago
Find the value of 1 x in two parallel lines
Mazyrski [523]

Answer:

18

Step-by-step explanation:

4x + 5x = 180

10x = 180

x = 18

5 0
2 years ago
Read 2 more answers
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