Express the percent as a decimal. 41%
2 answers:
Answer:
0.41
Step-by-step explanation:
Percentages, fractions, and decimals are tightly connected.
- When breaking the meaning of "percent" down, you get "per" (for each) and "cent" ("hundred" in French), so a percent is always a number over 100.
- A fraction is one number divided by another, a part of a whole.
- A decimal is a number expressed with the base-ten system of counting.
This being said, if you get 41%, remember that you can write it as a fraction of the number over 100, which would be . You can then turn it into a decimal*, which would be 0.41.
*when you have a two-digit whole number as the numerator of a fraction with denominator 100, the decimal form would just be 0. the numerator and the percent would be the numerator %. If the numerator is a whole one-digit number and the denominator is 100, the decimal form would be 0.0 the numerator, and the percent would still be just the numerator %.
- e.g. for a fraction of
, the decimal is 0.17 and the percent is 17%.
- e.g. for a fraction of
, the decimal is 0.03 and the percent is 3%.
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Answer:
Jennifer's height is 63.7 inches.
Step-by-step explanation:
Let <em>X</em> = heights of adult women in the United States.
The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 65 inches and standard deviation <em>σ</em> = 2.4 inches.
To compute the probability of a normal random variable we first need to convert the raw score to a standardized score or <em>z</em>-score.
The standardized score of a raw score <em>X</em> is:
These standardized scores follows a normal distribution with mean 0 and variance 1.
It is provided that Jennifer is taller than 70% of the population of U.S. women.
Let Jennifer's height be denoted by <em>x</em>.
Then according to the information given:
P (X > x) = 0.70
1 - P (X < x) = 0.70
P (X < x) = 0.30
⇒ P (Z < z) = 0.30
The <em>z</em>-score related to the probability above is:
<em>z</em> = -0.5244
*Use a <em>z</em>-table.
Compute the value of <em>x</em> as follows:
Thus, Jennifer's height is 63.7 inches.