A rectangular garden is 15 ft longer than it is wide. Its area is 6750 ft 2 . What are its dimensions

Last week kellie ran 28 miles. This week she ran 32 miles. What is the perecent of change in the number she ran?

Oksana_A [137]

Answer:

60%

Step-by-step explanation:

first do 28+32.

Next it equals 60. So change 60 to percentage form. It would be 60%

7 0

3 years ago

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Jonas is planning out his route for an upcoming race. He uses negative numbers to represent points before

olya-2409 [2.1K]

Answer:

The finish line

Step-by-step explanation:

Jonas is planning his trip using the finish line as reference point. He is using an interval scale (using meters as measurement) and the finish line = 0 meters or the starting point. Anything before the finish is negative and anything after is positive. In this case, his wife is located at 91 + 14 = 105 meters away from him. When you use an interval scale to measure distance, you must use absolute values to determine the distance because positive and negative points.

6 0

3 years ago

Where is the hole for the following function located?

Drupady [299]

<em>At x = -3 is located a hole. </em>

<h2>Explanation:</h2>

In this problem, we have the following function:

$f(x)=\frac{x+3}{(x-4)(x+3)}$

A hole will lie at the x-values that makes the function undefined, that is, when the denominator is zero. In a mathematical language:

$(x-4)(x+3)=0$

From this equation, we get two solutions:

$x=4 \\ \\ x=-3$

At those x-values the function will have a hole. From the choices:

<em>At x = -3 is located a hole. </em>

<h2>Learn more:</h2>

Derivative: brainly.com/question/13419010

#LearnWithBrainbly

7 0

3 years ago

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Which of the following is best described as a three-dimensional solid consisting of a base that can be any polygon a point not i

Harman [31]

Answer:

Option D

Pyramid

Step-by-step explanation:

The clause that gave away the answer is "<em>three-dimensional solid consisting of a base that can be any polygon"</em>

Scanning through the options, we can see that the only option that fits the description is the pyramid.

The pyramid is the only three-dimensional shape amongst the options that can take any polygon as a base.

<em>The other options get screened out here.</em>

A cube must have a square base.

A triangular prism must have a triangular base

A rectangular prism must have a rectangular base

Thus, option D: The Pyramid is the correct answer.

3 0

3 years ago

The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a

Leya [2.2K]

Answer:

a) 0.25

b) 52.76% probability that a person waits for less than 3 minutes

Step-by-step explanation:

Exponential distribution:

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

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

In which $\lambda = \frac{1}{m}$ 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:

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

In this question:

$m = 4$

a. Find the value of λ.

$\lambda = \frac{1}{m} = \frac{1}{4} = 0.25$

b. What is the probability that a person waits for less than 3 minutes?

$P(X \leq 3) = 1 - e^{-0.25*3} = 0.5276$

52.76% probability that a person waits for less than 3 minutes

3 0

3 years ago