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lesantik [10]
3 years ago
15

Three workers sort 66 boxes in a day. One of the workers is three times more productive than the second worker and twice as prod

uctive as the third worker. How many boxes did the second most productive worker sort?
Mathematics
1 answer:
Lelechka [254]3 years ago
7 0
1 worker =x

2 worker = \frac{worker1}{2}= \frac{x}{3}

3 worker = \frac{worker1}{3}= \frac{x}{3}

so:

66=x+ \frac{x}{3}+ \frac{x}{2}

66=x+\frac{2x}{6}+ \frac{3x}{6}

66*6=6x+2x+3x

396=11x

x=36

so:

worker 1 sorted 36 boxes
worker 2 sorted 18 boxes
worker 3 sorted 12 boxes
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Answer:

<em>a) P(x<1200)=74.14%</em>

<em>b) P(1100<X<1250)=57.54%</em>

Step-by-step explanation:

<u>Normal Distribution</u>

The normal distribution, also known as the bell curve, is a distribution that occurs naturally in many situations of life. We use the model N(\mu,\sigma) to understand the behavior of some real-life variables. Where \mu is the mean value and \sigma is the standard deviation.

In our case, we have

\mu=1143,\ \sigma=88

And are required to find the percentage of steers whose weigh lie within a given range. We must use some sort of table or digital means to compute the values because the normal distribution cannot be calculated directly by a formula. We use the NORMDIST (or NORM.DIST) formula for Excel which gives us the left tail of the area behind the bell curve, i.e. the cumulative percentage for a give value of X. The formula has the form

NORM.DIST(x,mean,standard_dev,cumulative)

a) X<1200

The formula is used with the following parameters

NORM.DIST(1200,1143,88,true)

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P(X

b) We need to compute P(1100<X<1250). To do this, we calculate both left tails and the subtract them

NORM.DIST(1100,1143,88,true)=0.3125

NORM.DIST(1250,1143,88,true)=0.8880

P(1100

\boxed{P(1100

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2 years ago
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FromTheMoon [43]
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If f(x) = sin x = 0.2, find f(x+2)
Delvig [45]

Answer:

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Step-by-step explanation:

f(x) = sin x = 0.2,

We want to find f(x+2)

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x is an angle and it is expressed in degrees

In order to look for the value of the angle, x degrees, it involves a reversal process. We would find the sine inverse of 0.2

Sine inverse of 0.2 is represented as

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Sin^-1 (0.2) = 11.537

Approximately 12.

To look for f(x+2), we will substitute the value of x into f(x+2)

Therefore,

= f(x+2) = f(11.537 +2) = f(13.537)

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