Suppose the base and height are each multiplied by 1/2 what effect would this have on the area

The area of the resulting figure is times smaller than the area of the original figure

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

I assume that the figure is a rectangle or a triangle

Let

z------> the scale factor

x-----> the area of the resulting figure

y----> the area of the original figure

so

we have

substitute

therefore

The area of the resulting figure is   times smaller than the area of the original figure

answer: i don't understand it

step-by-step explanation: sorry

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;