Mathematics, 18.11.2020 17:30 bellad05

The mean weight of 500 college students is 70 kg and the standard deviation is 3 kg. Assuming that the weight is normally distributed, determine what percentage of students weigh over 75 kg.

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Answer from: kimjooin02

Using the normal distribution, it is found that 4.75% of students weigh over 75 kg.

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

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

It 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, which is the percentile of X.

In this problem:

The mean is of 70 kg, hence $\mu = 70$ .The standard deviation is of 3 kg, hence $\sigma = 3$ .

The proportion over 75 kg is 1 subtracted by the p-value of Z when X = 75, hence:

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

$Z = \frac{75 - 70}{3}$

Z = 1.67

Z = 1.67 has a p-value of 0.9525.

1 - 0.9525 = 0.0475

0.0475 x 100% = 4.75%

4.75% of students weigh over 75 kg.

To learn more about the normal distribution, you can take a look at link

Answer from: shanekamayo9900

4.75%.

Step-by-step explanation:

Given: The mean weight $(\mu)$ of 500 college students is 70 kg and the standard deviation $(\sigma)$ is 3 kg.

Let X be the number of students weight over 75 kg.

If the weight is normally distributed, then the probability that students weigh over 75 kg:

$P(X75)=P(\dfrac{X-\mu}{\sigma}\dfrac{75-70}{3})\\\\=P(z\dfrac53)\\\\=P(z1.67)\\\\=1-P(z$

Hence, the percentage of students weigh over 75 kg = 4.75%.

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation:

75% of the temperatures are below what value? how do you know? 75% of the temperatures are above w

Answer from: Quest

i think it will be zero as slope has a formula of difference between initial and final distance divided by itz time interval

Can someone me with this problem and give me a clear right answer? i've been getting wrong answers

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The mean weight of 500 college students is 70 kg and the standard deviation is 3 kg. Assuming that t...

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