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shutvik [7]
3 years ago
11

A levee protects a town in a low-lying area from flooding. According to geologists, the banks of the levee are eroding (wearing

away soil) at a rate of 3 feet per year. If something isn't done to correct the problem, what signed number indicates how much of the levee (in ft) will erode during the next decade?
Mathematics
1 answer:
Cloud [144]3 years ago
5 0

Answer:

The signed number that indicates how much of the levee will erode during the next decade is:

-30 feet

Step-by-step explanation:

a) Data and Calculations:

Erosion rate of the banks of the levee = 3 feet per year

For 10 years, if nothing is done to correct the problem, the eroded banks will be equal to 10 * 3 = 30 feet

Therefore, the signed erosion in the next decade is -30 feet.

b) The quantity of erosion can be given as the number of years involved without correction, multiplied by the rate of erosion per year.  This implies that the quantity of erosion depends on the number of years and the rate of erosion per year.

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A recent study focused on the number of times men and women send a Twitter message in a day. The information is summarized below
jok3333 [9.3K]

Answer:

The value of the test statistic = 2.58

Test statistic Z = - 4.805

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

There is  significant difference between in the mean number of times men and women send a Twitter message in a day

Step-by-step explanation:

Step(i):-

Sample size of men  n₁ = 25

mean of the first sample x₁⁻ = 20

Standard deviation of the first sample σ₁ = 5

Sample size of women n₂ = 30

mean of the second sample x₂⁻ = 30

Standard deviation of the first sample σ₂ = 10

Level of significance ∝= 0.01

<u>Step(ii)</u>:-

Null Hypothesis : H₀: There is no significant difference between in the mean number of times men and women send a Twitter message in a day

Alternative Hypothesis :H₁:There is  significant difference between in the mean number of times men and women send a Twitter message in a day

Test statistic

Z = \frac{x^{-} _{1} - x^{-} _{2} }{\sqrt{\frac{S.D_{1} ^{2} }{n_{1} }+\frac{ S.D_{2} ^{2}}{n_{2} }  } }

Z = \frac{20 - 30 }{\sqrt{\frac{(5)^{2}  }{25 }+\frac{ (10)^{2}  }{ 30}  } }

Z =  \frac{-10}{2.081} = - 4.805

The value of the test statistic = 2.58 C

|Z| = 4.805 > 2.58

Null hypothesis is rejected The value of the test statistic = 2.58

<u>Conclusion:</u>-

There is  significant difference between in the mean number of times men and women send a Twitter message in a day

7 0
3 years ago
If someone could answer the second part that would be awesome thanks, no spam please
Zigmanuir [339]

Answer:

c

Step-by-step explanation:

m<4 and m<3 is a straight angle. straight angles are equal to 180 degrees. the friend found m<3=40 and m<4 is equal to 140 degrees (im not good at explaining, sorry)

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2 years ago
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I would say 8.55, regardless you're talking about the median or not.
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What is the number that is two more than one-tenth of one-fifth of one-tenth of 2,000​
topjm [15]

Answer:

6

Step-by-step explanation:

2 + (1/10)(1/5)(1/10)2000 = 2 + (1/500)(2000) = 2 + 4 = 6

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