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Pachacha [2.7K]
1 year ago
7

When a mantis shrimp strikes, its arm-club gets up to a velocity of 23 m/s moving away from its body. Scientists calculate the a

cceleration at 100,000 m/s/s.
How long does it take the arm-club to get to 23 m/s?
Mathematics
1 answer:
Ksenya-84 [330]1 year ago
5 0

Answer:

t=4.6\times 10^{-4}\ s

Step-by-step explanation:

We have,

Initial velocity of arm club is 23 m/s

Acceleration is 100000 m/s²

It is required to find the time taken by it to take the arm-club to get to 23 m/s. It means v = -23 m/s. It is based on the equation of kinematics such that :

v=u+at\\\\t=\dfrac{v-u}{a}\\\\t=\dfrac{-23-23}{100000}\\\\t=4.6\times 10^{-4}\ s

So, the time taken by it is 4.6\times 10^{-4}\ s.

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Estimate the indicated probability by using normal distribution as an approximation to the binomial distribution. Estimate P(6)
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Answer:

P(6) = 0.6217

Step-by-step explanation:

To find P(6), which is the probability of getting a 6 or less, we will need to first calculate two things: the mean of the sample (also known as the "expected value") and the standard deviation of the sample.  

Mean = np

Here, "n" is the sample size and "p" is the probability of the outcome of interest, which could be getting a heads when a tossing a coin, for instanc

So, Mean = n × p = (18) ×(0.30) = 5.4

Next we we will find the standard deviation:

Standard Deviation = \sqrt{npq}

n = 18  and  p = 0.3   "q" is simply the probability of the other possible outcome (maybe getting a tails when flipping a coin), so   q = 1 - p

Standard Deviation =\sqrt{npq} = \sqrt{(18)(0.3)(0.7)}  

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Now calculate the Z score for 6 successes.  

Z = ( of successes we're interested in - Mean) ÷ (Standard Deviation)

=(6-5.4)  ÷ (1.944) = 0.309

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Tanvi finds that her robot vacuum can clean her 150-square-foot kitchen in 1 2 of an hour. How many square feet could the robot
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Six pipes are laid end to form a row.each pipe is 9 1/3 inches long.how long is the row of pipes in feet?
laiz [17]

six pipes are laid end to end to form a row. Each pipe is 9 1/3 inches long. how long is the row of pipes, in feet?

Answer:

4.67 feet or 4 feet 8 inches or 4\frac{2}{3}feet

Step-by-step explanation:

Let x be the length of the row pipes.

Given:

Number of pipes = 6

Each pipe has length 9\frac{1}{3} inches. and six pipes are laid end to end to form a row.

The total length of the row is equal to length of the 6 pipes.

So, total length of row = Number of pipes \times Length of the pipe

x=\frac{28}{3}\times 6

x=28\times 2

x=56 inches

convert inch into feet.

x=\frac{56}{12}

x=4.67 feet

Therefore, The length of the row is 4.67 feet or 4 feet 8 inches or 4\frac{2}{3}feet .

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2 years ago
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