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Ad libitum [116K]
3 years ago
9

Find the area under the standard normal curve to the left of

Mathematics
1 answer:
JulijaS [17]3 years ago
6 0
A. z = 0.74
  The z-score of 0.74 translates to a percentile of 0.77035. Hence, the area under the standard normal curve to the left of z-score 0.74 is ~0.77.

b. z = -2.16
   This z-score translates to a percentile of 0.015386 which is also the numerical value of the area under the curve to the left of the z-score

c. z = 1.02
   The percentile equivalent of the z-score above is 0.846. The area is also 0.846.

d. z = -0.15
   The percentile equivalent and the area is equal to 0.44. 
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Answer:

<u>f(x) = = (x + √2 i) (x - √2 i) (x - 2 ) (x + 1)</u>

Step-by-step explanation:

The given function is f(x) = x⁴ - x³ -2x -4

factor the polynomial function

f(x) = x⁴ - x³ -2x -4 = (x⁴ - 4) - (x³ + 2x )  ⇒ take (-) as a common from (- x³ -2x)

     = (x² + 2 ) (x² - 2) - x (x² + 2)   ⇒ take (x² + 2)  as a common

     = (x² + 2 ) ( x² - x - 2)

     = (x + √2 i) (x - √2 i) (x -2 ) ( x+1)

Notes:  (x⁴ - 4) = (x² + 2 ) (x² - 2)

            (x² + 2)= (x + √2 i) (x - √2 i)

            ( x² - x - 2) = (x -2 ) ( x+1)

8 0
3 years ago
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Dmitry [639]

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Step-by-step explanation:

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