All categories

2 years ago

Aubrey ran 13 1/6 miles and walked 9 5/6 miles. How much farther did Aubrey run than walk?

Mathematics

1 answer:

leonid [27]2 years ago

3 0

Answer:

Aubrey ran 3 1/3 miles further than what she walked.

Step-by-step explanation:

This would be your basic subtraction problem. So, 13 1/6 - 9 5/6.

Since you can't subtract 5/6 from 1/6, let's borrow from 13. Now, instead of 13, it would be 12. Adding the whole (1) or 6/6 to the 1/6, you'll get 7/6. Now you can subtract. 7/6 - 5/6 = 2/6. Moving on, 12 - 9 = 3.

Therefore, your answer is 3 2/6. In simplified terms, it would be 3 1/3.

Read more about expressions at:

brainly.com/question/723406

#SPJ1

8 0

2 years ago

Suppose X has an exponential distribution with mean equal to 23. Determine the following:

e-lub [12.9K]

Answer:

a) P(X > 10) = 0.6473

b) P(X > 20) = 0.4190

c) P(X < 30) = 0.7288

d) x = 68.87

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:

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

Mean equal to 23.

This means that $m = 23, \mu = \frac{1}{23} = 0.0435$

(a) P(X >10)

$P(X > 10) = e^{-0.0435*10} = 0.6473$

P(X > 10) = 0.6473

(b) P(X >20)

$P(X > 20) = e^{-0.0435*20} = 0.4190$

P(X > 20) = 0.4190

(c) P(X <30)

$P(X \leq 30) = 1 - e^{-0.0435*30} = 0.7288$

P(X < 30) = 0.7288

(d) Find the value of x such that P(X > x) = 0.05

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

$0.05 = e^{-0.0435x}$

$\ln{e^{-0.0435x}} = \ln{0.05}$

$-0.0435x = \ln{0.05}$

$x = -\frac{\ln{0.05}}{0.0435}$

$x = 68.87$

5 0

3 years ago

WILL GIVE BRAINLIEST ANSWER

Olegator [25]

PQ = 2 units

height = 4 units

area = 2*4 = 8/2 = 4 square units

4 0

2 years ago

Read 2 more answers

What is the volume of 2 1/4 times 1 3/5 times 2 1/3

Arturiano [62]

I recommend the app desmos for problems like this. the answer is 8.4

6 0

3 years ago

Cheyenne drove 3000miles in 75 hours.at this rate, how long will it take her to drive 4000 miles

Liono4ka [1.6K]

75/3000=x/4000
times both sides by 1000
75/3=x/4
times both sides by 4
300/3=x
100=x

answer is 100 hours

7 0

3 years ago