Read the description of a proportional relationship. Pablo is making his special punch for the Starry Night homecoming dance. There is a proportional relationship between the number of cans of peach juice concentrate in a bowl, \( x \), and the corresponding number of bottles of lemon-lime soda, \( y \). The equation that models this relationship is \( y=4 x \). How many bottles of soda would Pablo put in a bowl of punch that has 5 cans of peach juice concentrate? Enter your answer as a whole number or decimal. -bottles

Weights of golden retriever dogs are normally distributed. Samples of weights of golden retriever dogs, each of size \( n=15 \), are randomly collected and the sample means are found. Is it correct to conclude that the sample means cannot be treated as being from a normal distribution because the sample size is too small? Explain. Choose the correct answer below. A. Yes; the sample size must be over 30 for the sample means to be normally distributed. B. No; the original population is normally distributed, so the sample means will be normally distributed for any sample size. C. No; as long as more than 30 samples are collected, the sample means will be normally distributed. D. No; the samples are collected randomly, so the sample means will be normally distributed for any sample size.

Find a rational root of the equation \( 7 x^{3}-5 x^{2}-14 x+10=0 \) Use the factor theorem to determine the remaining roots. \[ x=\square \]

If \( n p \geq 5 \) and \( n q \geq 5 \), estimate \( P( \) fewer than 5 ) with \( n=14 \) and \( p=0.5 \) by using the normal distribution as an approximation to the binomial distribution; if \( n p<5 \) or \( n q<5 \), then state that the normal approximation is not suitable. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( P( \) fewer than 5\( )=\square \) (Round to four decimal places as needed.) B. The normal approximation is not suitable.

5.- De las siguientes opciones señala la ecuación cuadrática incompleta. A) \( x^{2}+2 x=8 \) B) \( x^{2}-x=0 \) C) \( x-6=4- \) D) \( x^{2}=2 x-12 \)

Fill in the blanks. To factor \( x^{2}+5 x+6 \), find two numbers whose product is and whose sum is