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stealth61 [152]
2 years ago
7

terrell has a water purifier for backpacking. it will purify 1 liter of water in 1 min. how long would it take terrell to purify

enough water for 4 canteens that each hold 750 mL, and two that each hold 1.5 L
Mathematics
2 answers:
Ghella [55]2 years ago
4 0
4 × 750 = 3 L so it will take 3 minutes for 4 canteens and
2 × 1.5 = 3 L it will also take 3 minutes
total it will take 6 minutes.
eduard2 years ago
3 0

Answer:

It would take 6 minutes to purify enough water.

Step-by-step explanation:

Water purifier will purify 1 liter of water in 1 minute.

Terrell needs enough water for 4 canteens that each hold 750 ml.

Water for 4 canteens = 750 ml × 4 = 3000 ml = 3 liters

water for 2 canteens = 1.5 L × 2 = 3 liters

Water for total canteens = 3 + 3 = 6 liters.

Now it is given that water purifier will purify 1 liter of water in 1 minutes so 6 liters of water will purify in 6 minutes.

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We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.

From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words, Z_{Critical}=1.645.

We also know that E=5% or E=0.05

Also, since, \hat{p} is not given, we will assume that \hat{p}=0.5. This is because, the formula that we use will have \hat{p}(1-\hat{p}) in the expression and that will be maximum only when \hat{p}=0.5. (For any other value of \hat{p}, we will get a value less than 0.25. For example if, \hat{p} is 0.4, then 1-\hat{p}=0.6 and thus, \hat{p}(1-\hat{p})=0.24.).

We will now use the formula

n=(\frac{Z_{Critical}}{E})^2\hat{p}(1-\hat{p})

We will now substitute all the data that we have and we will get

n=(\frac{1.645}{0.05})^2\times0.5(1-0.5)

n=(32.9)^2\times0.25

n=270.6025

which can approximated to n=271.

So, the brand manager needs a sample size of 271

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there are 7 teams in the soccer tournament.there are two coaches on each team and 10 kids play on each team.which sentence below
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A box has a volume of 308 cm cubed. Its height is 4 cm greater than its length. Its length is 3 cm greater than its width. What
kifflom [539]

Answer:

4 cm.

Step-by-step explanation:

Given:

A box has a volume of 308 cm cubed.

Its height is 4 cm greater than its length.

Its length is 3 cm greater than its width.

Question asked:

What is the width of the box?

<u>Solution</u>:

Let width  = x\ cm

Length = x+3\ cm

Height = x+3+4=x+7\ cm

<u>As we know:</u>

<u />Volume\ of\ box=length\times width\times height

308=(x+3)\times x\times(x+7)\\ \\ 308=(x^{2} +3x)(x+7)\\ \\ 308=x^{2} (x+7)+ 3x(x+7)\\ \\ 308=x^{3} +7x^{2} +3x^{2} +21x\\ \\ 308=x^{3} +10x^{2} +21x\\ \\ Subtract\ 308\ from\ both\ sides\\ \\ x^{3} +10x^{2} +21x-308=0\\ \\ factor\ left\ side\ of\ equation\\ \\ (x-4)(x^{2} +14x+77)=0\\ \\  Set\ factors\ equal\ to\ 0.\\ \\ x-4=0 \ or\  x^{2} +14x+77=0\\ \\ \\

As width can never be in negative, x= 4\ cm

By substituting the value:-

Width  = x\ cm = 4 cm

Thus, width of the box is 4 cm.

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