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Answer:
Proportion states that the two fractions or ratios are equal.
Given the statement: A 36-foot-tall tree casts a 9-foot shadow.
To find the height of the nearby tree that cast a 14 foot shadow at the same time.
Let x be the height of the nearby tree.
By definition of proportion;
Substitute the given values we get;
Simplify:
Multiply both sides by 14 we get;
foot.
therefore, the height of the nearby tree is, 56 foot.
Answer:
See below for answers (in bold) and explanations
Step-by-step explanation:
<u>Part A</u>
According to the Empirical Rule, 99.7% of the data in a normal distribution are ±3σ standard deviations away from the mean. Hence, approximately 99.7% of women over seventy have blood pressures between 134-3σ = 134-3(7) = 134-21 = 113 mmHg and 134+3σ = 134+3(7) = 134+21 = 155 mmHg.
<u>Part B</u>
As 141-134=134-127=7, this represents ±1σ standard deviations away from the mean of 134 mmHg, which corresponds to 68% of the data by the Empirical Rule. Hence, approximately 68% of women over seventy have blood pressures between 127 mmHg and 141 mmHg
