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2 years ago

Grace rides her bike 21 km in 1 1/6 hours. What is her average speed in kilometers per hour?

Mathematics

1 answer:

aleksandrvk [35]2 years ago

4 0

126 because 20 X 6 and 6 x 1

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Look at photo for the question and answer choices... NO LINKS OR BLANK ANSWERS

Firdavs [7]

Answer:

Rhombus Square

Step-by-step explanation:

7 0

2 years ago

Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25

aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

The mean time for the component failure is 2500 hours.

This means that $m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004$

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

$P(X > x) = e^{-0.0004*5000} = 0.1353$

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0

2 years ago

PLEASE ANSWER! URGENT

Lorico [155]

There would be 2034 students competing in 2012.

We can write a simple equation to find this answer. Let X, be the number of students starting in 2012. Then, we multiply by 0.9 and 1.1 to get to 2014. To work backwards, just divide by 1.1, then by 0.9.

2014 / 1.1 / 0.9 = 2034

4 0

3 years ago

What is the value of -5.872 + (-5.1) ÷ 1.5? (a.) -9.272 (b.) -2.472 (c.) -7.315 (d.) 0.515

BigorU [14]

Answer:

The answer is A) -9.272

Step-by-step explanation:

-5.872 + (-5.1)/1.5

= -5.872 - 3.4

= -9.272

5 0

2 years ago

What is this functie<br> f(x) = 2x + 5

Aloiza [94]

Slope function
Hope this will help!

8 0

3 years ago

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