Find the value of the probability of the standard normal variable Z corresponding to the shaded area under the standard normal curve. Round your answer to four decimal places.

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Fill in the blank(s) with the appropriate word(s).


0.8448

Mathematics

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Solve the problem.Given sin A = , determine cos A and tan A exactly.

A. cos A =  and tan A = 
B. cos A =  and tan A = 
C. cos A =  and tan A = 
D. cos A =  and tan A = 

Mathematics

Use the Rational Zero Theorem to list all possible rational zeros for the given function.f(x) = 3x5 - 4x2 + 3x - 1

A. ± 1, ± 3
B. ± 3, ± 
C. ± 1, ± 
D. ± 1, ± 3, ± 

Mathematics

Solve.A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the rope is taut while the balloon is directly above a flag pole that is 30 feet from where the rope is staked down. Find the length of the rope if the altitude of the balloon is 60 feet. Give your answer as a simplified radical.

A. 30 ft
B. 90 ft
C. 30 ft
D. 30 ft

Mathematics

Solve the problem.The time t in years for an amount increasing at a rate r (in decimal form) to double is given by  This is called "doubling time." How long will it take for prices in the economy to double at a 9% annual inflation rate? Round to the nearest year.

A. 23 yr B. 8 yr C. 7 yr D. 13 yr

Mathematics