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Usimov [2.4K]
2 years ago
6

A sand dune stands 5 feet above sea level. The hill is eroding at a rate of 1 foot per 20 years. Let y represent the height of t

he sand dune after x years. Which equation represents the situation? y = negative StartFraction 1 Over 20 EndFraction x minus 5 y = negative StartFraction 1 Over 20 EndFraction x + 5 y = negative 20 x minus 5 y = negative 20 x + 5
Mathematics
2 answers:
sergejj [24]2 years ago
8 0

Answer:

y = 1/20 x + 5

Step-by-step explanation:

Let the height of the sand dune after x years be represented by the equation

y = mx+c where;

m is the rate at which the hills is eroding

c is the height of the dunes above the sea

If The hill is eroding at a rate of 1 foot per 20 years,then the rate of eroding per year will be;

1foot = 20years

m = 1year

Cross multiply

20m = 1

m = 1/20 foot/yr...

c = 5foot

Substitute into the formula:

y = 1/20 x + 5

Hence the equation that represent the situation is y = 1/20 x + 5

Lilit [14]2 years ago
5 0

Answer:y = 1/20 x + 5

Step-by-step explanation:

Let the height of the sand dune after x years be represented by the equation

y = mx+c where;

m is the rate at which the hills is eroding

c is the height of the dunes above the sea

If The hill is eroding at a rate of 1 foot per 20 years,then the rate of eroding per year will be;

1foot = 20years

m = 1year

Cross multiply

20m = 1

m = 1/20 foot/yr...

c = 5foot

Substitute into the formula:

y = 1/20 x + 5

Hence the equation that represent the situation is y = 1/20 x + 5

Step-by-step explanation:

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Which graph shows the solution set for Negative 4.4 greater-than-or-equal-to 1.6 x minus 3.6?
____ [38]

Answer:

A number line going from negative 7 to negative 1. A closed circle is at negative 5. Everything to the right of the circle is shaded.

Step-by-step explanation:

-4.4 ≥ 1.6 x - 3.6

Solving for the value of x,

1.6 x ≤ -4.4 + 3.6

 1.6 x ≤ - 0.8

Dividing 1.6 from both sides to know value of x

x ≤ - 0.5

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A (4-g)1.5

Step-by-step explanation:

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On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4
Katyanochek1 [597]

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Step-by-step explanation: hope it helps

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2 years ago
In a large population, 76% of the households own microwaves. A simple random sample of 100 households is to be contacted and the
zzz [600]

Answer:

Mean and standard deviation of the sampling distribution of the sample proportions are 76 and 0.0427 respectively.

Step-by-step explanation:

The mean for a sample proportion is given by μ = np

n = sample size = 100

p = fraction of the sample proportion that have what is being tested = 76% = 0.76

μ = 0.76 × 100 = 76.

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One hundred teachers attended a seminar on mathematical problem solving. The attitudes of representative sample of 12 of the tea
andrew11 [14]

Answer:

a) 1.92

b) 3.25

c) 1.5

d) -5.23

Step-by-step explanation:

We are given the following in the question:

4, 7, -1, 1, 0, 5, -2, 2, -1, 6, 5, -3

a) mean of score change

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{23}{12} = 1.92

b) standard deviation for this population

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of squares of differences = 126.92

\sigma = \sqrt{\frac{126.92}{12}} = 3.25

c) median change score

Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}

Sorted data: -3, -2, -1, -1, 0, 1, 2, 4, 5, 5, 6, 7

Median =

\dfrac{6^{th} + 7^{th}}{2} = \dfrac{1+2}{2} = 1.5

d) change score that is 2.2 standard deviations below the mean.

x = \mu - 2.2(\sigma)\\x = 1.92-2.2(3.25)\\x = -5.23

4 0
2 years ago
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