Write a system of equations for the problem, and then solve the system.The owner of Nuts2U Snack Shack mixes cashews worth $5.50 per pound with peanuts worth $2.00 per pound to get a half-pound, mixed-nut bag worth $1.80. How much of each kind of nut is included in the mixed bag?
A. Cashews: 0.07 lb; peanuts: 0.43 lb
B. Cashews: 0.27 lb; peanuts: 0.23 lb
C. Cashews: 0.10 lb; peanuts: 0.40 lb
D. Cashews: 0.23 lb; peanuts: 0.27 lb
Answer: D
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Provide an appropriate response.A criminal trial can be compared to a hypothesis test. The hypotheses are as follows: Null hypothesis: The defendant is innocent Alternative hypothesis: The defendant is guiltySuppose that in one trial, if convicted, the defendant will receive the death penalty. Do you think that a significance level of 0.05 or 0.01 is more appropriate in this case. Why?
A. 0.05. It is important not to reject the null hypothesis if it is true. B. 0.01. It is important to reject the null hypothesis if it is false. C. 0.01. It is important not to reject the null hypothesis if it is true. D. 0.05. It is important to reject the null hypothesis if it is false.
State if the vectors a and b are perpendicular, parallel, or neither. If a and b are parallel, state whether they point in the same direction or in opposite directions.a = 
, b = 
A. Perpendicular B. Parallel, opposite directions C. Parallel, same direction D. Neither
Convert to percent notation.
A. 3.6% B. 360% C. 36% D. 0.36%
The two triangles below are similar. Find the missing length or lengths.
A. 18 B. 12 C. 14 D. 6