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3 years ago

Using SQRT(2)=1.414 and SQRT(3)=1.732 approximate SQRT(75)-SQRT(48)

1 answer:

3 0

√2 ≈ 1.414 and √3 ≈ 1.732

√75 = √(25x 3) = 5√3 OR 5x1.414 = 7.07
√48 = √(16x 3) = 4√3 OR 4x1.732 = 6.92

So √75 - √48 = 7.07 - 6.92 ≈ 0.15

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A manufacturing process makes rods that vary slightly in length but follow a normal distribution with mean length 25 cm and stan

Galina-37 [17]

Answer:

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = 0.1251

Step-by-step explanation:

Step(i):-

Given mean of the Population = 25cm

Given standard deviation of the Population = 2.60

Let 'x' be the random variable in normal distribution

Given x=22

$Z = \frac{x-mean }{S.D} = \frac{22-25}{2.60} = -1.15$

Step(ii):-

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = P( Z<-1.15)

= 1-P(Z>1.15)

= 1-( 0.5+A(1.15)

= 0.5 - A(1.15)

= 0.5 - 0.3749

= 0.1251

The probability of randomly selecting a rod that is shorter than 22 cm

P(X<22) = 0.1251

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