The 8th grade students at Great Lakes Middle School hold a bake sale to raise money for a class field trip at the end of the year. They charge the same price for each item that they sell. After selling 10 items, they have $60.00 in their cash box. After selling 25 items, they have $82.50 in their cash box. What is the price of each item at the bake sale?

Aaron invested a total of $4,100, some in an account earning 8% simple interest, and the rest in an account earning 5% simple interest. how much did he invest in each account if after one year he earned $211 in interest? select one: a. $200 at 8%, $3,900 at 5% b. $3,200 at 8%, $900 at 5% c. $900 at 8%, $3,200 at 5% d. $3,900 at 8%, $200 at 5%

Mahnoor randomly selects times to walk into a local restaurant and observe the type of music being played she found that the restaurant was playing country 11 times rock & roll 17 times and blues 8 times use the observed frequencies to create a probability model for the type of music the restaurant is playing the next time mahnoor walks in.

The probability distribution of the random variable x represents the number of hits a baseball player obtained in a game for the 2012 baseball season. x 0 1 2 3 4 5 upper p left parenthesis x right parenthesisp(x) 0.16740.1674 0.32610.3261 0.29310.2931 0.14880.1488 0.03820.0382 0.02640.0264 the probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). the number of hits was recorded. approximate the mean and standard deviation of the random variable x based on the simulation. the simulation was repeated by performing 50 repetitions of the experiment. approximate the mean and standard deviation of the random variable. compare your results to the theoretical mean and standard deviation. what property is being illustrated? click the icon to view the data tables. compute the theoretical mean of the random variable x for the given probability distribution. mu subscript upper xμxequals=1.6441.644 hits (round to three decimal places as needed.) compute the theoretical standard deviation of the random variable x for the given probability distribution. sigma subscript upper xσxequals=1.1871.187 hits (round to three decimal places as needed.) approximate the mean of the random variable x based on the simulation for 25 games. x overbarxalmost equals≈0.7870.787 hits (round to three decimal places as needed.)