Using C programming language solve these problems Problem $5$A nutritionist who works for a fitness club helps members by evaluating their diets. As part of her evaluation, she asks members for the number of fat grams and carbohydrate grams that they consumed in a day. Then, she calculates the number of calories that result from the fat, using the following formula: calories from fat $=$ fat grams x $9.$ Next, she calculates the number of calories that result from the carbohydrates, using the following formula: calories from carbs $=$ carb grams x $4.$ Write a program that will make these calculations. Your program should use two separate functions to calculate fat and carb calories. Write a $3$rd function that is called from main to capture user input and call the others.Problem $6$Ask the user to enter a number, and print the number out to the $2$nd decimal place. For example, if they enter $10\mathrm{.}686666666,$ your program will print $10\mathrm{.}69.$Problem $7$Define a function named z and have it take $3$ arguments: score $,$ mu $($sample mean$),$ sigma $($standard deviation$)..$ Return the calculated z$-$score. Use your z function on this data to show it works: You have a test score of $190.$ The test has a mean $()$ of $150$ and a standard deviation $()$ of $25.$Now define a function named std$\_$error and have it take $2$ arguments: sigma $($standard deviation$),$ and n$.$ Return the calculated standard error Use your std$\_$error function $($you can assume a sample size of $10)$Print the answer rounded to the $2$nd decimal place.Problem $8$Write a function word count that will take a sentence $($string$)$ and return to you the number of words in the sentence. Show it works by calling it with Cinderella must get to the ball without her slippers. $($Answer should be $9)$