Write an article based on this "Calculate your odds of winning the second prize. Use an expanded equation to find your odds for other prizes. Solve your equation to find the odds of correctly guessing the numbers. Multiply the result by the Powerball value to determine your odds of winning that prize. Change the number of correctly guessed numbers for other prizes."
article: To return to the Powerball game, you have 5 numbers and a single Powerball. If you guess all 5 of the other numbers correctly but don't get the Powerball, you'll win the second prize. If you calculated your odds of winning the jackpot, you already know that your odds of guessing all 5 numbers correctly are 1 in 11,238,513.  To win the second prize, you would have to guess the Powerball incorrectly. If you calculated your odds of winning the jackpot, you know that your odds of guessing the Powerball correctly are 1 in 26. Therefore, your odds of guessing the Powerball incorrectly are 25 in 26. Use the same equation with these values to determine your odds of winning the second prize: 111,238,513×2526{\displaystyle {\frac {1}{11,238,513}}\times {\frac {25}{26}}}. When you complete this calculation, you'll see that your odds of winning the second prize are 1 in 11,688,053.52. To win other prizes, you guess some, but not all, of the winning numbers correctly. To figure out your odds, use an equation in which "k" represents the numbers you choose correctly, "r" represents the total numbers drawn, and "n" represents the number of unique numbers the numbers will be drawn from. Without numbers, the formula looks like this: r!k!×(r−k)!×(n−r)!((n−r)−(r−k))!×(r−k)!{\displaystyle {\frac {r!}{k!\times (r-k)!}}\times {\frac {(n-r)!}{((n-r)-(r-k))!\times (r-k)!}}}.  For example, you might use the Powerball values to determine your odds of correctly guessing 3 of the 5 chosen numbers from the set of 69 unique numbers. Your equation would look like this: 5!3!×(5−3)!×(69−5)!((69−5)−(5−3))!×(5−3)!{\displaystyle {\frac {5!}{3!\times (5-3)!}}\times {\frac {(69-5)!}{((69-5)-(5-3))!\times (5-3)!}}}  The result of this equation tells you the number of ways that 3 numbers can be chosen correctly out of 5 numbers. Your odds will be that number out of the total number of ways 5 numbers can be chosen correctly. Just as with the base equation, this equation is best solved by typing the entire thing into a calculator or search engine. Some intermediate numbers involved in the calculation would be cumbersome to write down and it would be easy to make a mistake. In the previous example, your odds of guessing 3 of the 5 chosen numbers in Powerball would be 20,160 in 11,238,513. While this formula gives you the odds of guessing only some of the numbers correctly, you still haven't factored in the Powerball. To find your true odds, multiply the result by your odds of getting the Powerball number correct or incorrect (whichever value you want to find).  For example, if you wanted to calculate your odds for getting only 3 of the 5 numbers correct and getting the Powerball incorrect, your equation would be 20,16011,238,513×2526{\displaystyle {\frac {20,160}{11,238,513}}\times {\frac {25}{26}}}, or 1 in 579.76. On the other hand, your odds for getting 3 of the 5 numbers correct and getting the Powerball correct would be 20,16011,238,513×126{\displaystyle {\frac {20,160}{11,238,513}}\times {\frac {1}{26}}}, or 1 in 14,494.11. Once you have the formula down, simply change the value of "k" to find the odds of winning different levels of prizes. Generally, your odds of winning will decrease as the value of "k" increases. If you're calculating odds for Powerball or a similar game, don't forget to multiply your result by the Powerball value.

Write an article based on this "Research reputable animal shelters. Contact the shelter and ask about their fundraising needs. Consult the animal shelter's wish list. Challenge yourself to raise a certain amount of money for the shelter. Ask friends or family if they want to help you fundraise."
article: Decide if you want to support a national or local animal shelter. Try to choose a shelter that has a good record of caring for animals and helping out in the community. The shelter should be clear about how it spends its money and it should have strong leadership. If you can't find this information on the shelter's website, call the shelter and ask about the charity's operating practices. Go into the shelter, email them, or call to ask if they have any fundraising drives going on at the moment. You can tell them that you'd like to help them fundraise and give them your contact information.  For example, the shelter might be holding an upcoming event, such as a walkathon, that you can participate in. Many animal shelters make a list of items they need or wish they had. You can raise money for their wish list or ask donors to contribute the actual items. An animal shelter wish list might include:  Dog, cat, or rabbit food and treats Chew toys or cat toys Feeder bowls Cat beds Dog leashes Kitty litter You might already have a set amount of money in mind or maybe you just know that you want to help the shelter. To help you track your fundraising efforts, consider setting a goal for you to reach within a certain amount of time. For example, you might want to raise $500 by the end of summer break in order to donate to the animal shelter. You'll be able to gather more money and have more fun doing it if you have friends or family that are willing to help! Ask family or friends if they're interested in helping you. Keep in mind you'll probably need a variety of help. For example, you might ask a family member to load pet supplies into their truck to drive to the shelter. You could also ask a friend to help you run a fundraising booth at a local festival, for instance.

Write an article based on this "Learn about the different varieties of apples. Look for ripe apples. Store your apples properly."
article:
An apple is just an apple, right? Not when you've got a Fuji, a Golden Delicious, a Baldwin, and a Rome to choose between. There are literally hundreds of varieties of eating apples, cultivated for different properties of flavor and texture. While some are more available than others, depending on where you live, learning some basics will help you get the right kind of apple for your tastes.  If you like sweet apples, Fuji, Jazz, Golden Delicious, and McIntosh are all creamy and sweet choices. If you like crunchy apples, Pink Lady, Honey Crisp, and Gala will give you the tooth you're looking for. If you want to bake with your apples, or like tart apples, Granny Smiths, Braeburns, and Jona golds are all solid choices. At the store, or if you're really fortunate in the orchard, check to make sure that apples are firm to the touch and fragrant. A ripe apple should feel firm and should smell like an apple at the stem and at the blossom end. Some apples, like the Macintosh or the Jonathan, will feel slightly softer to the touch, because the flesh is somewhat mealier. That's perfectly fine. If they smell ripe, they are good to eat.  Look for bruising, discolouration, and signs of worm infestation in your apples. Apples with brown soft spots or dark holes that look burrowed into the flesh should be avoided. Little superficial dark dots on the skin of the apple are fine to eat, however. In general, you're looking for signs of over-ripeness, not under-ripeness. All apples you get at the store should be ripe enough to eat right away. You're just trying to make sure you don't get any over-aged apples. Apples are harvested at their peak of ripeness, so they're perfectly fine to eat right away. You can keep them on the counter for a day or two.  If you don't want to eat your apples right away, keep them in the refrigerator in a paper bag. Good either way. Saying that one bad apple spoils the bunch is more than just a tidy phrase. Apples produce ethylene as they ripen, which promotes ripening in other fruits around them. Never store apples in closed plastic bags, or they'll ripen and spoil very quickly. Go with paper. If you want to store a sliced apple or a halved apple, do so in the refrigerator. These will dry out and brown very quickly, but a little spritz of lemon juice on the flesh of the apple will help to keep it fresh for longer.