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Arturiano [62]
3 years ago
12

Bob drives 50 miles per hour on a street in a residential neighborhood with a speed limit of 30 miles per hour. Bob's behavior i

s reckless because:
Mathematics
1 answer:
snow_lady [41]3 years ago
8 0

Bob drives 50 miles per hour on a street in a residential neighborhood with a speed limit of 30 miles per hour. Bob's behavior is reckless because:

Answer: Bob drives 50 miles per hour on a street in a residential neighborhood with a speed limit of 30 miles per hour. Bob's behavior is reckless because it increases the risk of harm.


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Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.5 feet and a standard deviation o
Mumz [18]

Answer:

0% probability that the mean of the sample taken is less than 2.2 feet.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 2.5 feet and a standard deviation of 0.2 feet.

This means that \mu = 2.5, \sigma = 0.2

Sample of 41

This means that n = 41, s = \frac{0.2}{\sqrt{41}}

Find the probability that the mean of the sample taken is less than 2.2 feet.

This is the p-value of Z when X = 2.2 So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{2.2 - 2.5}{\frac{0.2}{\sqrt{41}}}

Z = -9.6

Z = -9.6 has a p-value of 0.

0% probability that the mean of the sample taken is less than 2.2 feet.

6 0
3 years ago
Drive 1,800 mi in 30 h
ella [17]
<span>1800 mi / 30 hr = 60 mi/hr


hope that helped</span>
6 0
3 years ago
Ms. Jan brought in cookies for her class. She gave out half of them in the morning. At lunch, she gave out 12 more. She then had
Olegator [25]

Answer:

44

Step-by-step explanation:

if she had 10 left at the end and you add the other half from lunch which is 12, then that gives you 22. Since before lunch she had half (22), all you gotta do is add the other half which is 22. 22+22=44 and that's your answer.

6 0
4 years ago
X-1/4x^2+7x+3 divided by 2x^2+4x-6/4x^2+11x+6
Zina [86]
You pretty much just flip the second fraction and factor 

8 0
3 years ago
Use the discriminant to determine the nature of the roots of the following questions
soldier1979 [14.2K]

Answer:

the function has two distinct real roots.

Step-by-step explanation:

D=b²-4ac    

D<0 No real roots

D=0 One real root

D>0 Two distinct real root.

    (-5)²-4*1*-3

    25+12

    37

Since D is > than 0, the function has two distinct real roots.

6 0
3 years ago
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