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koban [17]
2 years ago
7

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?
Mathematics
1 answer:
Over [174]2 years ago
6 0
The given 5 feet above sea level could be taken as the y-intercept, while the rate of -1 foot per 20 years could be taken as the slope. The height y is a function of time. Using y-intercept slope form of a line: Y = (-1/20)t + 5
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The time between failures for an electrical appliance is exponentially distributed with a mean of 25 months. What is the probabi
katrin [286]

Answer:

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

Step-by-step explanation:

Using Poisson distribution  where

t= number of units of time

x= number of occurrences in t units of time

λ= average number of occurrences per unit of time

P(x;λt) = e raise to power (-λt)  multiplied by λtˣ divided by x!

here λt = 25

x= 30

P(x= 30) = 25³⁰e⁻²⁵/ 30!

P (x= 30) = 8.67 E41 * 1.3887 E-11/30!    (where E= exponent)

P (x=30) = 1.204 E31/30!

Solving it with a statistical calculator would give

P (x=30) = 0.0454

The probability that the next failure will not occur before 30 months have elapsed is 0.0454

7 0
2 years ago
Rounding to 1 significant figure, estimate 7.57 x 3.81 pls answer
Sidana [21]

Answer:

18.45

Step-by-step explanation:

:0

7 0
2 years ago
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Lila collected the honey from 3 of her beehives.from the first hive she collected 2/3 gallon of honey.the last two hives yielded
Jobisdone [24]
11/12 of a gallon, you have to find the common denominator.

5 0
2 years ago
There are 1,000 golden delicious and 1,000 red delicious apples in a cooler. In a random sample of 75 of the golden delicious ap
Delvig [45]

Answer:

98% confidence interval is (-0.105 , 0.265)

Step-by-step explanation:

n1 = 75          n2 = 75

X1 = 48          X2 = 42

P1 = X1/N1 = 0.64          P2 = X2/N2   = 0.56

98% confidence interval for difference between two proportions is :

P1 - P2  <u>+</u>   Z \sqrt{P1 (1-P1)/n1  + P2 (1-P2)/n1}

= 0.08 <u>+</u> 0.185

= (-0.105 , 0.265)

98% confidence interval is (-0.105 , 0.265)

4 0
2 years ago
What additional information would prove that LMNP is a rectangle? The length of LM is and the length of MN is . The slope of LP
kumpel [21]

Answer:

The correct answer is diagonals are equal and bisect each other.

Step-by-step explanation:

A rectangle is a quadrilateral with opposites sides equal in length and all interior angles equal to 90°. Opposite sides are parallel and adjacent sides are perpendicular. Diagonals in a rectangle are equal in length and they bisect each other. If we want to draw a circumcircle, then the point of intersection of these diagonals give the circumcenter.

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2 years ago
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