What is the domain of the function f(x)=x^2+3x+5?

Mathematics

2 answers:

Ugo [173]3 years ago

8 0

Answer:

all real numbers

Step-by-step explanation:

Kitty [74]3 years ago

4 0

Answer:

The domain of this function is all real numbers

Step-by-step explanation:

Unless there is a domain restriction for the function, the domain of a function is all real numbers. This means that all we need to do is determine whether there is a domain restriction.

The things that cause a domain restriction are: an x in the denominator of a fraction like $f(x)=\frac{1}{x}$ or a radical like $f(x)=\sqrt{1-x}$

As there are no variables in the denominator or a radical, we can conclude that the domain of this function is all real numbers.

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a) The 90% confidence interval of the percentage of all mangoes on the truck that fail to meet the standards is: (7.55%, 12.45%).

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c) The 90% confidence is the level of confidence that the true population percentage is in the interval.

d) The needed sample size is: 271.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions has the bounds given by the rule presented as follows:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

The margin of error is given by:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

The variables are listed as follows:

$\pi$ is the sample proportion, which is also the estimate of the parameter.

z is the critical value.

n is the sample size.

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of $\frac{1+0.90}{2} = 0.95$ , so the critical value is z = 1.645.