Alice likes to go to Main Event to play laser tag and climb the rock wall each Saturday. Instead of purchasing the play pass, Alice pays for each activity separately. This week Alice played laser tag twice and climbed the rock wall 3 times, spending $31.
Last week Alice played laser tag 4 times and climbed the rock wall once, spending $27.

Using the information provided, how much does Main Event charge, in dollars, to climb the rock wall?

If private savings 'v' = 0.75s and total savings 's' equals $4.20 billion, solve for public and private savings.

Ftara spends $219 a month for her car payment and she makes $3,200 a month, what percent of her monthly income is spent on her car payment?

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)