The circumcenter of the triangle is at the coordinates (2,1). To find this, we can outline the triangle based on the coordinates of points A (-1,5), B (-1,-3), and C (5,-3). Utilizing the distance formula helps us confirm that the triangle satisfies Pythagoras' theorem, hence it is a right triangle. In a right triangle, the circumcenter is located at the midpoint of the hypotenuse, which is determined to be (2,1).
In this scenario, we aim to assess if pennies are genuinely fair when tossed, indicating that they have an equal chance of landing heads or tails. Therefore, the appropriate hypotheses are as follows: Null hypothesis: Alternative hypothesis: A hypothesis can be defined as "a conjecture or theory that is based on inadequate evidence and can be subjected to further examination and experimentation. With continued investigation, a hypothesis can typically be validated as true or false." The null hypothesis is defined as "a hypothesis that posits no statistical significance between the two variables in question. It represents what the researcher seeks to refute." Conversely, the alternative hypothesis is simply "the opposite or inverse of the null hypothesis; it is what the researcher aims to substantiate." For this study, we wish to confirm if pennies are indeed fair when flipped, meaning an equal chance to land heads versus tails, hence the proper hypotheses are: Null hypothesis: Alternative hypothesis:
Determine the percentage of families who spent: a. Under $167 daily. b. Under $367 daily. c. Over $247 daily. d. Over $350 daily. e. Under $67 daily. f. Between $200 and $300 daily. g. Between $360 and $400 daily. h. Exceeding the median. i.
To calculate, simply multiply 12 by 0.15 or 15%, which equals 1.8. Then subtract 1.8 from 12, yielding $10.20 as the discounted price for the pizza.
I hope this is helpful
Because
1 USD = 113.83 Japanese Yen
To convert 100 USD: 100 × 113.83 Japanese Yen
Therefore 100 USD = 11,383.00 Japanese Yen
