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larisa [96]
3 years ago
5

A scientist collected four water samples from local ponds. Each sample was the same size and he collected 2.6 liters in all. Wha

t was the volume of each water sample?
Mathematics
1 answer:
Temka [501]3 years ago
3 0

Answer: 0.65 Liters

Steps:

Divide 2.6/4 to get 0.65 Liters

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Let the abbreviation PSLT stand for the percent of the gross family income that goes into paying state and local taxes. Suppose
gavmur [86]

Answer:

Number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.

Step-by-step explanation:

We are given that one wants to estimate the mean PSLT for the population of all families in New York City with gross incomes in the range $35.000 to $40.000.

If sigma equals 2.0, we have to find that how many families should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5.

Here, we will use the concept of Margin of error as the statement "true mean PSLT within 0.5" represents the margin of error we want.

<u></u>

<u>SO, Margin of error formula is given by;</u>

       Margin of error =  Z_(_\frac{\alpha}{2}_ ) \times \frac{\sigma}{\sqrt{n} }

where, \alpha = significance level = 10%

            \sigma = standard deviation = 2.0

            n = number of families

Now, in the z table the critical value of x at 5% ( \frac{0.10}{2} = 0.05 ) level of significance is 1.645.

SO,        Margin of error =  Z_(_\frac{\alpha}{2}_ ) \times \frac{\sigma}{\sqrt{n} }

                          0.5   =  1.645 \times \frac{2}{\sqrt{n} }

                         \sqrt{n} =\frac{2\times 1.645 }{0.5}

                         \sqrt{n} =6.58

                           n  =  6.58^{2}

                               = 43.3 ≈ 43

Therefore, number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.

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Please help :(((((((! <br> Which expression is equivalent to 3/64a6b7c9?
erastova [34]

Answer:

3b^7a^6c^9/64

Step-by-step explanation:

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anastassius [24]
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What value of n makes the equation true?​
Anastasy [175]

Answer:

6

Step-by-step explanation:

(4^{3} /4)^{3} = 4^{n} \\(4^{2})^{3} = 4^{n} \\4^{6} = 4^{n} \\n=6

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