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vitfil [10]
2 years ago
7

John is filling a bathtub that is 18 inches deep. He notices it takes 2 mins. To fill the tub 3 inches of water. He estimates it

will take 10 more minutes for the water to reach the top of the tub if it continues at the same rate. Is he correct. Explain
Mathematics
2 answers:
Pavel [41]2 years ago
6 0

Depth of the bathtub = 18 inches

Time taken to fill 3 inches of the bathtub = 2 minutes

Then

The amount of depth needed to fill with water = (18-3) inches

                                                                        = 15 inches

Time required to fill 15 inches of the bathtub = (15*2)/3 minutes

                                                                      = 30/3 minutes

                                                                      = 10 minutes

So John is correct in thinking that it will take 10 more minutes for the water to reach the top of the tub if he continues at the same rate.

Hope this helps!

aleksklad [387]2 years ago
4 0

He is not correct for thinking it will take ten more minutes. It will take 12 more minutes.

If you get a piece of paper and my 18 hash marks (stands for the 18 inch depth of the tub) like this:

IIIIIIIIIIIIIIIIII

and you group them by 3 (standing for three inches):

III III III III III III

You would see that you have six groups of three. If it took two minutes to fill the first three inches, every three inches it fills will take two minutes. So if you multiply 2 x 2 x 2 x 2 x 2 x 2 you will get the answer 12.


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Answer:

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b) For this case since we want to determine if the true mean is lower than an specified value is a one tailed test

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z_{cric}= -2.326

And the rejection zone would be: (\infty ,-2.326)

And the region is on the figure attached

Step-by-step explanation:

Part a: State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true average number of days in the past month that adults walked for the purpose of health or recreation is lower than 5.5 days (a;ternative hypothesis) , the system of hypothesis would be:  

Null hypothesis:\mu \geq 5.5  

Alternative hypothesis:\mu < 5.5  

Part b

For this case since we want to determine if the true mean is lower than an specified value is a one tailed test

Part c

For this case the significance level is given \alpha=0.01and we want to find the critical value, so we need to find a critical value on the normal standard distribution who accumulate 0.01 of the area on the right tail and if we use excel or a table we got:

z_{cric}= -2.326

And the rejection zone would be: (\infty ,-2.326)

And the region is on the figure attached

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Step-by-step explanation:

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Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60percent of their plants are
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Answer:

There are 20 vegetable plants in garden.

Step-by-step explanation:

We are given the following in the question:

Percentage of flowers = 60%

Percentage of vegetable = 40%

Number of plants in garden = 50

Number of vegetables in garden =

40\% \times \text{Number of plant}\\\\= \dfrac{40}{100}\times 50\\\\= 20

Number of flowers in garden =

60\% \times \text{Number of plant}\\\\= \dfrac{60}{100}\times 50\\\\= 30

Thus, there are 20 vegetable plants in garden.

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Can somone give me the answer to 2 x 0
marshall27 [118]
Any number times 0 is going to equal 0
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Read 2 more answers
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