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2 years ago

Domain range function explained

1 answer:

4 0

In a nutshell, functions are relations and relations are formed by two sets: an input set known as domain (X) and an output set known as range (Y).

<h3>What are the domain and the range of a function?</h3>

Herein we must give definition for a domain and a range of a function. According to function theory, functions are a kind of relations between two sets: an input set known as domain (X) and an output set known as range (Y).

Functions are relations in which an element of the former is related to an element of the latter such that this condition is fulfilled: x → y₁ and x → y₂, where y₁ = y₂.

In a nutshell, Functions are relations and relations are formed by two sets: an input set known as domain (X) and an output set known as range (Y).

To learn more on functions: brainly.com/question/12431044

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What is 90 percent of 69?

xz_007 [3.2K]

Answer:

62.1

Step-by-step explanation:

90 percent means there are 90 parts from all 100 parts

90/100 × 69 = 62.1

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4 years ago

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The scale from a map to actual distance is 2.5 cm to 620 mi. The distance on the map between Chicago and Boston is about 3.5 cm.

swat32

Answer: 868 miles

Step-by-step explanation:

Given: The scale from a map to actual distance is 2.5 cm to 620 miles.

i.e. 1 cm on map = $\dfrac{620}{2.5}\text{ miles}=248 \text{ miles}$

If the distance on the map between Chicago and Boston is about 3.5 cm.

Then, the actual distance between them = $3.5\times 248 \text{ miles}=868 \text{ miles}$

Hence, the approximate distance between Chicago and Boston = 868 miles.

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4 years ago

Evaluate 40 divided by 8 plus 3 multiplied by 4 multiplied bye 2

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Answer:

Step-by-step explanation:

40/8 + 3*4*2 =

5 + 12*2 =

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3 years ago

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"A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean

Arada [10]

Answer:

85.31% probability that their mean rebuild time exceeds 8.1 hours.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$