What is 30 feet = yrds

Graph y < x2 + 4x. Click on the graph until the correct graph appears.

jonny [76]

Answer: The correct answer is:

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The given "graph" in the bottom right, lowest corner

Step-by-step explanation:

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Note: When there is only one (1) equation give for a graph;

and/or: only one (1) "inequality given";

we look for the symbol.

If the symbol is "not" an "equals" symbol (i.e. not an: = symbol) ;

we check for the type of "inequality" symbol.

If there is a: "less than" (<) ; or a "greater than" (>) symbol; the graph of the "inequality" will have "dashed lines" (since there will be a "boundary").

If there is an "inequality" that is a: "less than or equal to" (≤) ;

or a: "greater than or equal to" (≥) ;

→ then there will be not be a dashed line when graphed;

but rather—a "solid line" ; since "less than or equal to" ;

or "greater than or equal to" —is similar to:

"up to AND including"; or: "lesser/fewer than AND including".).

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Note: We are given the "inequality" :

→ " y < x² + 4x " .

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Note that we have a "less than" symbol (< ) ; so the graph will have a:

"solid line" [and not a "dotted line".].

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Note that all of the graphs among our 4 answer choices have "dotted lines".

Not that all values (all x and y coordinated) within the "shaded portion" of the corresponding graph are considered part of the graph.

As such, given any point within the shaded part, the x and y coordinates must match the inequality (i.e. the given inequality must be true when one puts in the "x-coordinate" and "y-coordinate" into the "given inequality" :

→ " y < x² + 4x " .

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Likewise, we can take any point within the "white, unshaded" portion of any of the graph, and take the "x-coordinate" and "y-coordinate" of that point, and the inequality: → " y < x² + 4x " ; will not hold true when the "x-coordinate" and "y-coordinate" values of that point— are substituted into the "inequality".

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{Note: Answer is continued on images attached.}.

Wishing you the best!

6 0

2 years ago

Evaluate lim θ→0 sin(cos 8θ)/sec 5θ.

kenny6666 [7]

In this case, we are given with the expression <span>sin(cos 8θ)/sec 5θ and is asked to evaluate the expression with limit as theta approaches 0. In this case, we just substitute 0 to theta. cos 0 is equal to 1 hence sec 0 is also equal to 1. sin theta is equal to 0.0175. Answer os 0.0175.</span>

8 0

2 years ago

Read 2 more answers

Researchers at the National Cancer Institute released the results of a study that investigated the effect of weed-killing herbic

jolli1 [7]

Answer:

The 95% confidence interval for the difference in the proportion of cancer diagnoses between the two groups is (0.3834, 0.5166).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.

Central Limit Theorem

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

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

The randomly sampled 400 dogs from homes where an herbicide was used on a regular basis, diagnosing lymphoma in 230 of them.

This means that:

$p_h = \frac{230}{400} = 0.575, s_h = \sqrt{\frac{0.575*0.425}{400}} = 0.0247$