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kvasek [131]
2 years ago
13

You need to design a new cereal box for the Yum Yum Cereal Company. The new cereal box must have a volume of 2400 cubic centimet

ers. Your task is to create a cereal box that would hold a volume of 2400 cubic centimeters of cereal. On your paper, draw the box and label its dimensions. Show your work to verify that the box you drew would hold 2400 cubic centimeters of cereal. Enter in BOTH sets of dimensions here. (Ex: Box #1 - length = ___, width = ____, height = ____, Box #2 - length = ___, width = ____, height = ____)
Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
4 0

Answer:

Please find attached the required new cereal boxes for the Yum Yum Cereal Company created with Microsoft Visio

Step-by-step explanation:

The required volume of the cereal box = 2,400 cm³

The box is to be drawn and labeled as follows using Microsoft Visio

Box #1 Length = 16 cm, Width = 15 cm, Height = 10 cm

The volume = Length × Width × Height = 16 cm × 15 cm × 10 cm = 2,400 cm³

Box #2 Length = 30 cm, Width = 10 cm, Height = 8 cm

The volume = Length × Width × Height = 30 cm × 10 cm × 8 cm = 2,400 cm³

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A building 220 feet casts a 100 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the bui
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Answer:

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Step-by-step explanation:

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2 years ago
The comprehensive strength of concrete is normally distributed with μ = 2500 psi and σ = 50 psi. Find the probability that a ran
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Answer:

The probability that the diameter falls in the interval from 2499 psi to 2510 psi is 0.00798.

Step-by-step explanation:

Let's define the random variable, X = "Comprehensive strength of concrete". We have information that X is normally distributed with a mean of 2500 psi and a standard deviation of  50 psi (or a variance of 2500 psi). In other words, X \sim N(2500, 2500).

We want to know the probability of the mean of X or \bar{X} that falls in the interval [2499;2510]. From inference theory we know that :

\bar{X} \sim N(2500, \frac{2500}{5}) \Rightarrow \bar{X} \sim N(2500,500)

Now we can find the probability as follows:

P(2499 \leq \bar{X} \leq 2510) \Rightarrow P(\frac{2499 - 2500}{500} \leq \frac{\bar{X} - 2500}{500} \leq \frac{2499 - 2500}{500} ) \Rightarrow\\\Rightarrow P(-0.002 \leq \frac{\bar{X} - 2500}{500} \leq 0.02 ) \Rightarrow P(-0.002 \leq Z \leq 0.02 )

Where Z \sim N(0,1), then:

P(-0.002 \leq Z \leq 0.02 ) \approx P(0 \leq Z \leq 0.02 ) = P(Z \leq 0.02 ) - P(Z \leq 0) \\P(0 \leq Z \leq 0.02 ) = 0.50798 - 0.5 = 0.00798

8 0
3 years ago
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