Sonia is a senior in high school and tutors some of the kids in her neighborhood. She works 5 hours a week and earns $11/hour. Sonia hasn't hung out with her friends in a long time, and
she's excited to grab dinner and watch a movie with them on Friday, which will cost $40.
She also wants to buy her mom a $50 necklace her mom has been wanting for her
birthday gift on Sunday.
a. Will Sonia have enough money to go out with her friends and buy her mom a
birthday present by the end of the week?
b. What tradeoffs will Sonia have to think about as she makes her decision on what to
spend her money on?
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If i have one apple and give you the apple, how many apples do i have?

Atechnician compares repair costs for two types of microwave ovens (type i and type ii). he believes that the repair cost for type i ovens is greater than the repair cost for type ii ovens. a sample of 6767 type i ovens has a mean repair cost of $79.79$⁢79.79. the population standard deviation for the repair of type i ovens is known to be $19.18$⁢19.18. a sample of 5555 type ii ovens has a mean repair cost of $75.24$⁢75.24. the population standard deviation for the repair of type ii ovens is known to be $21.40$⁢21.40. conduct a hypothesis test of the technician's claim at the 0.050.05 level of significance. let μ1μ1 be the true mean repair cost for type i ovens and μ2μ2 be the true mean repair cost for type ii ovens. step 2 of 4 : compute the value of the test statistic. round your answer to two decimal places.

Lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one-time membership fee. lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. in her work, she substituted an expression for one variable and solved for the other. this resulted in the equation 75 = 75. what can lian conclude? one gym charges $75 per month. each gym charges $75 per month both gyms charge the same monthly rate and the same membership fee. both gyms charge the same monthly rate, but not the same membership fee.