a car decreased in value from $980 to $720 in one year what was the per cent of decrease to the nearest whole per cent ?

Mathematics

1 answer:

kolezko [41]3 years ago

6 0

The decrease was 27%.

Step-by-step explanation:

Old value = $980

New value = $720

Decrease = Old value - New value

$Decrease=980-720=\$260$

Percent decrease = $\frac{Decreased/ amount}{Old value}*100$

$Percent\ decrease=\frac{260}{980}*100\\Percent\ decrease=0.265*100\\Percent\ decrease= 26.5\%$

Rounding off to near whole percent

Percent decrease = 27%

The decrease was 27%.

Keywords: Percentage, subtraction

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Heights of Women. Heights of adult women are distributed normally with a mean of 162 centimeters and a standard deviation of 8 c

Bogdan [553]

Answer:

a) 6.68% of heights less than 150 centimeters

b) 58.65% of heights between 160 centimeters and 180 centimeters

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 162, \sigma = 8$