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2 years ago

Which relation is a function?

Mathematics

1 answer:

Debora [2.8K]2 years ago

6 0

The relation which is a function is; Choice A;<em> {(6, −4), (5, 8), (−3, 6), (−4, −4)}</em>

<h3>What is a function?</h3>

In mathematics, a function from a set of values for variable x to a set of values for variable y assigns to each element of x only one element of y. The set X is called the domain of the function and the set Y is called the codomain of the function.

On this note, since in Choice A, each x-value is mapped distinctively to one value of y, Choice A is a function.

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You work for a pharmacy and monthly sales of asthma inhalers in your pharmacy follows a normal distribution with a mean of 191 i

grin007 [14]

Answer: -1.33 .

Step-by-step explanation:

Formula to find the Z-score :

$Z=\dfrac{\text{Expected value - Mean}}{\text{Standard deviation}}$

Given: Mean = 191 and Standard deviation = 21

Then , the z-score corresponding to the expected value of 163 will be :

$Z=\dfrac{163-191}{21}\\\\=\dfrac{-28}{21}\approx-1.33$

Hence, the z score corresponding to selling 163 inhalers is -1.33 .

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3 years ago

Divide and express your answer to lowest term

musickatia [10]

Step-by-step explanation:

3/4:2/5=3/4×5/2=15/8

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2 years ago

A random sample of 100 observations from a quantitative population produced a sample mean of 22.8 and a sample standard deviatio

natima [27]

Answer:

We conclude that the population mean is 24.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 24

Sample mean, $\bar{x}$ = 22.8

Sample size, n = 100

Alpha, α = 0.05

Sample standard deviation, s = 8.3

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 24\\H_A: \mu \neq 24$

We use Two-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{22.8 - 24}{\frac{8.3}{\sqrt{100}} } = -1.44$

We calculate the p-value with the help of standard z table.

P-value = 0.1498

Since the p-value is greater than the significance level, we accept the null hypothesis. The population mean is 24.

Now, $z_{critical} \text{ at 0.05 level of significance } = \pm 1.96$

Since, the z-statistic lies in the acceptance region which is from -1.96 to +1.96, we accept the null hypothesis and conclude that the population mean is 24.

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3 years ago

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Marizza181 [45]

Answer:

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3 years ago

What is the solution, if any, to the inequality |3x| ≥0?

Yanka [14]

Answer:

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