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ozzi
3 years ago
7

Find the remainder when f(x) is divided by (x - k). f(x) = 3x3 - 4x2 - 3x + 14; k= 3

Mathematics
1 answer:
d1i1m1o1n [39]3 years ago
7 0
Let's use synth. div.  It's so much faster in cases such as this one.

Use k = 3 as your divisor.  Then:

       ________________
  3  /   3   -4   -3     14
                 9  15      36
      -------------------------
          3     5   12     50  <= the remainder is 50.
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A company manufactures 2,000 units of its flagship product in a day. The quality control department takes a random sample of 40
shepuryov [24]

Answer:

B

Step-by-step explanation:

The recommended sample size n for point estimates is:

n = NX / (N + X - 1)

where N is the population size, and X is defined as:

X = Z² p (1 - p) / E²

where Z is the critical value, p is the sample proportion, and E is the margin of error.

Assume a confidence level of level of 95% and a margin of error of 5%.

α = 0.05, Z(α/2) = 1.96

E = 0.05

Of the 40 units tested, 2 had lifespans less than 26 days.  So the proportion is:

p = 2/40 = 0.05

Therefore:

X = (1.96)² (0.05) (1 - 0.05) / (0.05)²

X = 73

Given N = 2000:

n = (2000) (73) / (2000 + 73 - 1)

n = 70.45

Rounding, the recommended sample size is 70.

5 0
3 years ago
Read 2 more answers
What is the width of a rectangle that has an area of 10 ft.² and a length of 24 inches give your answer in feet
VladimirAG [237]

Answer:

Width = 5 ft

Step-by-step explanation:

A=wl

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2 years ago
NEED HELP FAST:
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Answer:

B- 5 5/6

Step-by-step explanation:

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