Premise:
".,p be the prices for goods household purchases, M be the"
Hypothesis: P is a variable representing the amount spent on goods by a household.

yes

Premise:
"D-Day Beaches"
Hypothesis: Beach areas along the French shore where D-Day took place

yes

Premise:
"Seated on one side is the Nyorin Kannon, in whose hand is a jewel used to answer prayers and grant wishes; on the other is Kokuzo, who embodies wisdom and happiness."
Hypothesis: Nyorin Kannon is depicted as running from a bear.
no