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Flura [38]
3 years ago
10

Determine the area under the standard normal curve that lies to the left of ​(a) z equals negative 1.53 commaz=−1.53, ​(b) z equ

als negative 1.51z=−1.51​, ​(c) z equals negative 0.87z=−0.87​, and​ (d) z equals negative 0.63z=−0.63. ​(a) The area to the left of zequals=negative 1.53−1.53 is nothing. ​(Round to four decimal places as​ needed.)

Mathematics
1 answer:
Svetach [21]3 years ago
8 0

Answer:

(a) z = -1.53 --> P(x<z) = 0.0630

(b) z = -1.151 --> P(x<z) = 0,0655

(c) z = -0.63 --> P(x<z) = 0,2643

Step-by-step explanation:

To know the area that lies to the left, equal to P(x<z), the best way is to look at tables of standard normal curve.

(a) z = -1.53 --> P(x<z) = 0.0630

(b) z = -1.151 --> P(x<z) = 0,0655

(c) z = -0.63 --> P(x<z) = 0,2643

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Then we can do a bit of algebra like so to change that n into n-1

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This is so we can get the expression in a(r)^(n-1) form

  • a = 8/7 is the first term of the geometric sequence
  • r = 2/7 is the common ratio

Note that -1 < 2/7 < 1, which satisfies the condition that -1 < r < 1. This means the infinite sum converges to some single finite value (rather than diverge to positive or negative infinity).

We'll plug those a and r values into the infinite geometric sum formula below

S = a/(1-r)

S = (8/7)/(1 - 2/7)

S = (8/7)/(5/7)

S = (8/7)*(7/5)

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S = 1.6

------------------------

Answer in fraction form = 8/5

Answer in decimal form = 1.6

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3 years ago
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Step-by-step explanation:

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The algebraic solution to the situation is as follows:

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<h3>How to find and solve an algebraic equation?</h3>

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One evening,750 people attended the play and the total receipts were 6860.

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