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guapka [62]
3 years ago
7

An island has some portion submerged in water. Point A on the island is at negative 7 over 3 feet from the surface of the sea. P

oint B on the island is at negative 5 over 2 feet from the surface of the sea. Because negative 7 over 3 feet > negative 5 over 2 feet, what is true about the distance of the two points from the surface of the sea?
Mathematics
2 answers:
Tasya [4]3 years ago
8 0

Answer:

1 / 6 feet

Step-by-step explanation:

sashaice [31]3 years ago
3 0

Answer:

1/6feet

Step-by-step explanation:

Given

Point A on the island = -7/3 feet from the sea surface

Point B on the island = -5/2 from the sea surface

The distance between the two points will be Point A - Point B

Distance between the two points = -7/3 - (-5/2)

= -7/3+5/2

Find the LCM

= {2(-7)+3(5)}/6

= -14+15/6

= 1/6

Hence the distance of the two points from the surface of the sea is 1/6feet

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Step-by-step explanation:

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Read 2 more answers
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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