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Kipish [7]
2 years ago
10

Solve the following: a.) X^2 - 2x – 24 = 0 b.) x^2 - 11x + 18 =0

Mathematics
2 answers:
wolverine [178]2 years ago
7 0

Answer:

The answer for the first equation is,

X = 6, -4

The answer for second equation is,

X = 9,2

adell [148]2 years ago
4 0

a.) X^2 - 2x – 24 = 0

x^2-6x+4x-24=0

this is expressing negative 2x as the sum of two terms which are negative 6x and positive 4x

x(x-6)+4(x-6)=0

(x+4)(x-6)=0

(x+4)=0. so x=-4

(x-6)=0 so x=6

b.) x^2 - 11x + 18 =0

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simplifying:
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Answer:

Remainder is 691.

Step-by-step explanation:

Given function is 10x^4-6x^3+5x^2-x+1.

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(x-3) means plug x=3 into 10x^4-6x^3+5x^2-x+1 to find remainder.

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A researcher at a major clinic wishes to estimate the proportion of the adult population of the United States that has sleep dep
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the minimum sample size of the adults in United State who have sleep deprivation  is 601

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Given that;

the confidence level = 95% = 0.05

the Margin of error E = 4% = 0.04

∴  level of significance ∝ = 1 - C.L

∝ = 1 - (95/100)

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Z∝/2 = 0.05/2 = 0.025

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Now to calculate the sample size, we say

n = (Z(critical) / M.E )² P ( 1 - P)

now we substitute

n =  (1.96 / 0.04)² × 0.5 ( 1 - 0.5)

n = 2401 × 0.5 × 0.5

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Therefore the minimum sample size of the adults in United State who have sleep deprivation  is 601

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