REASONING At a track and field meet, the longest shot-put throw by a boy is 25 feet 8 inches. The longest shot-put throw by a girl is 19 feet 3 inches. How many times greater is the longest shot-put throw by the boy than by the girl? The longest shot-put throw by the boy is \( \square \) times greater than the longest shot-put throw by the girl.

Use local linearization to approximate \( \sqrt{81.2} \) as follows: Let \( f(x)=\sqrt{x} \). The local linearization of \( f \) at 81 is \( L_{81}(x)=y_{0}+m(x-81) \),

Factor the trinomial using the ac-method. Select "Prime" If the polynomial cannot be factored. \[ x^{2}+3 x-54 \] \( x^{2}+3 x-54=\square \)

¿Cuál es el resultado de efectuar \( \left(14 x^{2}+7 x-7\right) \div 7 \) ?

The population mean and standard deviation are given below. Find the required probability and determine whether the given sample mean would be considered unusual. For a sample of \( n=65 \), find the probability of a sample mean being greater than 221 if \( \mu=220 \) and \( \sigma=3.5 \). For a sample of \( n=65 \), the probability of a sample mean being greater than 221 if \( \mu=220 \) and \( \sigma=3.5 \) is 2.3035 . (Round to four decimal places as needed.) Would the given sample mean be considered unusual? The sample mean would be considered unusual because it within the range of a usual event, namely within of the sample i

The regression line for predicting muscle mass percentage using biceps circumference is MuscleM ass \( =5.1+2.02 \) (Biceps) One man in the study has a biceps circumference of 21 in . and a muscle mass percentage of \( 48.4 \% \). Find the residual for this ma The residual for this man is \( -0.9 \% \). The residual for this man is \( 0.9 \% \) The residual for this man is \( -2.02 \% \). The residual for this man is \( 2.02 \% \).