A branch of the military requires women's heights to be between 58 in and 80 in. We need to find the probabilities that heights fall between 58 in and 80 in in this distribution. We need to find z-scores of the values 58 in and 80 in. Z-score shows how many standard deviations far are the values from the mean. Therefore they subtracted from the mean and divided by the standard deviation:

z-score of 58 in= $z=\frac{58-63.9}{2.4}$ = -2.458

z-score of 80 in= $z=\frac{80-63.9}{2.4}$ = 6.708

In normal distribution 99.3% of the values have higher z-score than -2.458

0% of the values have higher z-score than 6.708. Therefore 99.3% of the woman meet the height requirement.

To find the height requirement so that all women are eligible except the shortest 1% and the tallest 2%, we need to find the boundary z-score of the

shortest 1% and the tallest 2%. Thus, upper bound for z-score has to be 2.054 and lower bound is -2.326

Corresponding heights (H) can be found using the formula

$2.054=\frac{H-63.9}{2.4}$ and

$-2.326=\frac{H-63.9}{2.4}$

Thus lower bound for height is 58.32 and

Upper bound for height is 68.83

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3 years ago

Jessica plots the data points relating the amount of money she needs to repay a loan and the number of months she has been makin

cupoosta [38]

Answer:

Religion: There were temples and the worship of many gods. Animal sacrifices and complex rituals made some people feel disconnected from Hinduism. Religious beliefs were spread through trade.

Intellectual:

Technology: Gupta metal workers built a huge wrought-iron pillar. Indian doctors practiced Ayurvedic medicine. They could set bones and perform simple surgeries. They also began vaccinating people against smallpox.

Economy:

Buddhism & the Mauryans

Social:

Political: In 321 BCE, Chandragupta Maurya took over the former Magadha kingdom. It became the center of the Mauryan Empire. His government was a highly organized bureaucracy. He worked his way westward to the Indus Valley. The third emperor, Asoka, brought all of India, except the far south, into the empire. He used military strategy to rule.

Religion:

Intellectual: Buddha's teachings and the Four Noble Truths were passed down through oral tradition. Buddhists meditate to find their own truths. Asoka placed stone pillars providing moral guidance all over India (Edicts of Asoka.)

Technology:

Economy: Roads and harbors were built to help trade grow. Royal officials collected taxes.

Explanation:

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2 years ago