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stealth61 [152]
3 years ago
5

Help me out? most brainliest!

Mathematics
1 answer:
a_sh-v [17]3 years ago
5 0

Answer:

(a) z(105)= (105-95)/10

= 1

z(85)= (85-95)/10

= -1

P(85< x < 105) = P(-1< z < 1) = 0.6825

Quantity of people of 1600 that have IQ between 85 and 115 = 0.6825*1600= 1092

(b) z(105) = (115-95)/10 = 2

z(85) = (75-95)/10 = -2

P(-2< z < 2) = 0.6827

quantity of people of 1600 that have IQ between 75 and 115 = 0.6825x1600=1092

(c) Z(>125)=( 125-100)/10=3

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Alik [6]

Answer:

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Step-by-step explanation:

6 0
3 years ago
The diameter of the average cell in the human body is 1 x 10-5 meters. The diameter of a grain of sand is about 2 x 10-4 meters.
Dovator [93]
PART A:

Scientific notation is given in the form of A*10^n
Where A is a value in unit and n is an integer

<span>0.000025 is not a unit number [the number before the decimal point is of zero value]

0.000025 = 2.5 </span>÷ 100,000

100,000 can be written as 10⁵

0.000025 = 2.5 ÷ 10⁵ ⇒ to write this in form of multiplication form, we change 10⁵ to 10⁻⁵

0.000025 = 2.5 × 10⁻⁵

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

PART B:
<span>
The diameter of a grain of sand </span>÷<span> the diameter of the average cell in the human body
= [2</span>×10⁻⁴] ÷ [1×10⁻⁵]  
= [2÷1] × [10⁻⁴×10⁻⁵]
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<span>
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--------------------------------------------------------------------------------------------------------------

PART C

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1 × 10⁻⁵ meter = [1 × 10⁻⁵] × [1 × 10⁹] = 1 × 10⁽⁻⁵⁺⁹⁾ = 1 × 10⁴ = 10000 nanometer
------------------------------------------------------------------------------------------------------------

PART D

1 meter = 1 × 10⁹ nanometer
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Answer: 3 × 10⁻⁵ meter

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

PART E

Laws of exponents that are used in scientific notation is 

x^m*x^n=x^{m+n}
\frac{x^m}{x^n}=x^{m-n}





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