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Lelechka [254]
2 years ago
6

So me and Patrick have the same IQ

Mathematics
1 answer:
JulsSmile [24]2 years ago
8 0

Answer:

25 seconds

Step-by-step explanation:

The radius of a hailstorm varies directly

with the amount of time that it was in a cloud.

Radius = k x Time (in the cloud)

k is the constant of proportionality

R = k x T

0.5 = k x 10

k = 0.5/10

k = 0.05

Formula: R = 0.05 x T

1.25 = 0.05 x T

Time = 1.25/0.05

Time = 25 seconds.

Hope this helps :) !

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The distribution of the scores on a certain exam is ​N(40​,5​), which means that the exam scores are Normally distributed with a
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Answer:

Step-by-step explanation:

Let x represent the random variable representing the scores in the exam. Given that the scores are normally distributed with a mean of 40 and a standard deviation of 5, the diagram representing the curve and​ the position of the​ mean, the mean plus or minus one standard​ deviation, the mean plus or minus two standard​ deviations, and the mean plus or minus three standard deviations is shown in the attached photo

1 standard deviation = 5

2 standard deviations = 2 × 5 = 10

3 standard deviations = 3 × 5 = 15

1 standard deviation from the mean lies between (40 - 5) and (40 + 5)

2 standard deviations from the mean lies between (40 - 10) and (40 + 10)

3 standard deviations from the mean lies between (40 - 15) and (40 + 15)

b) We would apply the probability for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 40

σ = 5

the probability that a randomly selected score will be greater than 50 is expressed as

P(x > 50) = 1 - P( ≤ x 50)

For x = 50,

z = (50 - 40)/5 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

P(x > 50) = 1 - 0.98 = 0.02

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3 years ago
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A 2.2 kg ball strikes a wall with a velocity of 7.4 m/s to the left. The ball bounces off with a velocity of 6.2 m/s to the righ
Naya [18.7K]

Answer:

The constant force exerted on the ball by the wall is 119.68 N.

Step-by-step explanation:

Consider the provided information.

It is given that the mass of the ball is m = 2.2 kg

The initial velocity of the ball towards left is 7.4 m/s

So the momentum of the ball when it strikes is = 2.2\times 7.4=16.28

The final velocity of the ball is -6.2 m/s

So the momentum of the ball when it strikes back is = 2.2\times -6.2=-13.64

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Therefore, the constant force exerted on the ball by the wall is:

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Hence, the constant force exerted on the ball by the wall is 119.68 N.

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