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irakobra [83]
4 years ago
11

Hannah has 3 boxes of rice. One box contains 3 kilograms, the second box contains 150 grams, and the third box contains 500 gram

s. She wants to divide the rice equally into 5 bags. How much rice should she put into each bag? Explain.
Mathematics
2 answers:
WINSTONCH [101]4 years ago
6 0
3000g = 3kg
150g + 500g + 3000g = 3650g
3650g divided by 5 = 730g

She should put 730g into each bag.
kaheart [24]4 years ago
3 0
(3kg(1000g/kg)+150+500)/5=730g/bag
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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2-cm and a standard dev
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Answer:

The probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is 0.65173.

Step-by-step explanation:

We are given that a company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2 cm and a standard deviation of 2.1 cm. For shipment, 17 steel rods are bundled together.

Let \bar X = <u><em>the average length of rods in a randomly selected bundle of steel rods</em></u>

The z-score probability distribution for the sample mean is given by;

                            Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean length of rods = 259.2 cm

           \sigma = standard deviaton = 2.1 cm

           n = sample of steel rods = 17

Now, the probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is given by = P(\bar X > 259 cm)

 

     P(\bar X > 259 cm) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{259-259.2}{\frac{2.1}{\sqrt{17} } } ) = P(Z > -0.39) = P(Z < 0.39)

                                                                = <u>0.65173</u>

The above probability is calculated by looking at the value of x = 0.39 in the z table which has an area of 0.65173.

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<u>A </u><u>pair of shoes</u><u> gives us</u><u> 48 </u><u>different outfits.</u>

What is a linear equation?

  • A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.
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We will employ the basic counting principle, which states that if one task can be completed in method A and another in way B, then both tasks may be completed in way A*B.

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hence, buying a pair of shoes gives us 48 different outfits.

Learn more about linear equation

brainly.com/question/11897796

#SPJ4

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