A baker is making sugar cookies for a local bakery. For one large batch of cookies, she needs 6 eggs and 4 cups of sugar. 1. Write a ratio statement to represent the eggs and sugar needed for 1 batch.
2. How much of each ingredient does she need for 5 batches? Write an equivalent ratio to represent this situation.
3. How much of each ingredient does she need for ½ of a batch? Write an equivalent ratio to represent this situation.
4. How much of each ingredient does she need for ¼ of a batch? Write an equivalent ratio to represent this situation.

The bike store marks up the wholesale cost of all the bikes they sell by 30% and andre wants to buy a bike that has a price tag of 125 what was the wholesale cost of the bike

(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.)

Aspacecraft can attain a stable orbit 300 kilometers above earth if it reaches a velocity of 7.7 kilometers per second. the formula for a rocket's maximum velocity v in kilometers per second is vequalsminus0.0098tplusc ln upper r, where t is the firing time in seconds, c is the velocity of the exhaust in kilometers per second, and r is the ratio of the mass of the rocket filled with fuel to the mass of the rocket without fuel. find the velocity of a spacecraft whose booster rocket has a mass ratio of 20, an exhaust velocity of 2.1 km/s, and a firing time of 15 s. can the spacecraft achieve a stable orbit 300 km above earth?