Provide an appropriate response.Evaluate 3[42 +
] - 40 ÷ 10 following the order of operations using a calculator.
A. 26
B. 1.4
C. 50
D. -1
Answer: C
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Solve the problem that involves probabilities with independent events.A single die is rolled twice. Find the probability of getting a 4 the first time and a 6 the second time.
A.
B.
C.
D.
Use Bayes' rule to find the indicated probability.Two shipments of components were received by a factory and stored in two separate bins. Shipment I has 2% of its contents defective, while shipment II has 5% of its contents defective. If it is equally likely an employee will go to either bin and select a component randomly, what is the probability that a defective component came from shipment II?
A. 0.714 B. 0.222 C. 0.5 D. 0.2
State whether the square root is rational or irrational. If the square root is rational, find the (exact) value. If the square root is irrational, estimate its value by rounding to the second decimal place.
A. Rational; 20 B. Irrational; 12.37
Find the Taylor series for the given function.f(x) = e2x2
A. 1 + 2x2 + x4 +
x6 + . . . +
x2n + . . .
B. 1 + 2x2 + x4 +
x6 + . . . +
x2n + . . .
C. 1 - 2x2 + x4 -
x6 + . . . +
x2n + . . .
D. 1 + 2x + x2 +
x3 + . . . +
xn + . . .