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nekit [7.7K]
3 years ago
6

3. Convert 5.2 gallons to cups

Mathematics
1 answer:
vazorg [7]3 years ago
6 0

set up a ratio problem

5.2 gal = 1 gal/16 cups

5.2 * 16 = 83.2 cups is 5.2 gallons

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There are 10 balls in a bag numbered from 1 to 10. Three balls are selected at random without replacement.
VikaD [51]

Answer:

A=1000

B=3.33

Step-by-step explanation:

I think?

6 0
2 years ago
16. Factor<br> 40y3 - 625
lina2011 [118]

Answer:

Step-by-step explanation:

prime factorization

40y³ = 2³×5y³

625 = 5⁴

Greatest common factor = 5

40y³ - 625 = 5(8y³ - 125)

Note that 8y³ - 125 is the difference of cubes.

8y³ - 125 = (2y)³ - 5³ = (2y-5)((2y)² + 2y·5 + 5²) = (2y-5)(4y² + 10y + 25)

40y³ - 625 = 5(2y-5)(4y² + 10y + 25)

4 0
3 years ago
The average maximum monthly temperature in Campinas, Brazil is 29.9 degrees Celsius. The standard deviation in maximum monthly t
kvv77 [185]

Answer:

P(X>32)=P(\frac{X-\mu}{\sigma}>\frac{32-\mu}{\sigma})=P(Z>\frac{32-29.9}{2.31})=P(z>0.909)

And we can find this probability with the complement rule and using the normal standard distributon table or excel we got:

P(z>0.909)=1-P(z

And if we convert this to a % we got 18.2 % of maximum temperatures higher or equal than 32 C

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the maximum monthly temperature of a population, and for this case we know the distribution for X is given by:

X \sim N(29.9,2.31)  

Where \mu=29.9 and \sigma=2.31

We are interested on this probability

P(X>32)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>32)=P(\frac{X-\mu}{\sigma}>\frac{32-\mu}{\sigma})=P(Z>\frac{32-29.9}{2.31})=P(z>0.909)

And we can find this probability with the complement rule and using the normal standard distributon table or excel we got:

P(z>0.909)=1-P(z

And if we convert this to a % we got 18.2 % of maximum temperatures higher or equal than 32 C

8 0
3 years ago
Alfred has a 30 dollar gift voucher.He plans to buy as many video games as he can.The cost of each game is 10 dollars.There is a
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10+2=12 30 divided by 12 = 2.5
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A Falcon flew 70 miles in 3 hours what was the speed of the falcon
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Falcon's \:  speed: \: 70 \div 3 = 23.33 \: mph
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3 years ago
Read 2 more answers
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