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pashok25 [27]
3 years ago
13

Michael timed a train using a clock. the train traveled a distance of half mile from t = 10 seconds to t = 55 seconds. what was

the speed of the train in feet per second? (round answer to nearest tenth).
Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
3 0

Answer:

<em>58.7 ft/sec</em>

Step-by-step explanation:

The train traveled half a mile.

1 mile = 5280 ft

0.5 mile = 0.5 * 5280 ft = 2640 ft

A time from 10 sec to 55 sec is 55 sec - 10 sec = 45 seconds.

2640 ft in 45 seconds

speed = distance/time

speed = 2640 ft / 45 sec = 58.6666... ft/sec

Answer: speed = 58.7 ft/sec

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Correct answer gets brainliest!<br>find two expressions whose difference is 3x + 4​
il63 [147K]

Answer:

(7x+4) and (4x)

Step-by-step explanation:

The two expressions are (7x+4) and (4x)

8 0
3 years ago
Joachim wants to win the giant monkey at the carnival game. To do so, he'll need to roll two ones with a single toss of a pair o
Gemiola [76]

\frac{1}{6}  \times  \frac{1}{6}  =  \frac{1}{36}
Answer: 1/36

Hope this helps. - M
4 0
3 years ago
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Help. The problem is in the picture
inn [45]

Answer:

The answer to your question is y = 2/3x + 4

Step-by-step explanation:

Data

Equation     y = 2/3 x + 5

New line = ?

Process

Two lines are parallel if the have the same slope. The slope is the coefficient of the x.

1.- Get the slope of the original line

                y = 2/3x + 5

   slope = 2/3

2.- Two find the equation of a parallel line we need to point I will use (0, 4)

Use the point slope formula

               y - y1 = m(x - x1)

               y - 4 = 2/3(x - 0)

               y - 4 = 2/3 x

              y = 2/3x + 4

6 0
3 years ago
Helppppppppppp?????????????​
Nuetrik [128]

Answer: number one

Step-by-step explanation:

the x and y axis never completly cross

8 0
3 years ago
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A certain kind of sheet metal has, on average, 3 defects per 18 square feet. Assuming a Poisson distribution, find the probabili
Fofino [41]

Answer:

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

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:

3 defects per 18 square feet.

So for 31 square feet, we have to solve a rule of three

3 defects - 18 square feet

x defects - 31 square feet

18x = 3*31

x = \frac{31*3}{18}

x = 5.17

So \mu = 5.17

Assuming a Poisson distribution, find the probability that a 31 square foot metal sheet has at least 4 defects.

Either it has three or less defects, or it has at least 4 defects. The sum of the probabilities of these events is decimal 1.

So

P(X \leq 3) + P(X \geq 4) = 1

We want P(X \geq 4)

So

P(X \geq 4) = 1 - P(X \leq 3)

In which

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

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

P(X = 0) = \frac{e^{-5.17}*(5.17)^{0}}{(0)!} = 0.0057

P(X = 1) = \frac{e^{-5.17}*(5.17)^{1}}{(1)!} = 0.0294

P(X = 2) = \frac{e^{-5.17}*(5.17)^{2}}{(2)!} = 0.0760

P(X = 3) = \frac{e^{-5.17}*(5.17)^{3}}{(3)!} = 0.1309

So

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0057 + 0.0294 + 0.0760 + 0.1309 = 0.242

Finally

P(X \geq 4) = 1 - P(X \leq 3) = 1 - 0.242 = 0.758

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

8 0
3 years ago
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