What is the value of (-3/4)^-4

256/81

Step-by-step explanation:

a⁻ᵇ = 1/aᵇ

(a/c)ᵇ = aᵇ / cᵇ

1/(c/d) = d/c

then:

(-3/4)⁻⁴ = 1/(-3/4)⁴ = 1/(-3⁴/4⁴) = 1/(81/256) = 256/81

About 95% of house sizes that lie between 955.7 and 1454.1 sq ft .

Step-by-step explanation:

According to the empirical rule  about 68% of the data is within one standard deviation of the mean; about 95% of the data is within two standard deviations of the mean ; about 99.7% of the data is within three standard deviations of the mean.

We have given:

Sample mean : x¯=1204.9 sq ft

Standard deviation: s=124.6 sq ft

To find the percentage of house sizes that lie between 955.7 and 1454.1 sqft.

We can write it as

955.7= 1204.9 - 249.2 = 1204.9 - 2(124.6)

and 1454.1  = 1204.9 + 249.2 = 1204.9 + 2(124.6)

Thus, 955.7 is 2 standard deviations left from the means and 1454.1 is 2 deviations right from the mean.

Then by empirical rule , about 95% of house sizes that lie between 955.7 and 1454.1 sq ft .