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ExtremeBDS [4]
3 years ago
15

Between what 2 integers does √23 lie?

Mathematics
1 answer:
ahrayia [7]3 years ago
6 0

Answer:

4 and 5

Step-by-step explanation:

\because \:  \sqrt{23}  = 4.79583152  \\  \therefore \: 4 <  \sqrt{23 }   < 5 \\ so \:  \sqrt{23}  \: lie \: between \: the \: integers   \: 4 \: and \: 5

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I already finished it but how do you know if it’s decreasing or increasing?
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Example:

Y=mX+b

If m is positive it is a positive slope

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If the area of the following parallelogram is 30 square centimeters, what is the length of the base?
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What is 24 + 25=<br> i am to lazy to figure it out sorry.
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16+ y =24<br> What is the value of y?
andrezito [222]

\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}

    <em>16+y=24, What is y?</em>

<em />

<em />\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}

When solving an equation, we need to make sure that all variables are on one side and all numbers are on the other side.

Since we have numbers on both sides, we need to move all of them to one side:-

\tt{16+y=24}

\tt{y=24-16}

\tt{y=8}

<h3>Good luck with your studies.</h3>

\rule{300}{1}

6 0
2 years ago
A researcher is interested in whether people are less able to identify emotions correctly when they are extremely tired. It is k
stepan [7]
<h2>Answer with explanation:</h2>

Let \mu be the population mean.

By analyzing the given information, we have the following hypothesis:-

H_0:\mu\geq81\\\\H_a:\mu

Since the alternative hypotheses is left tailed so the test is a right-tailed test.

Also, the  accuracy ratings of people in the general population are normally distributed.

Given : Sample size :  n=51 , since n>30 so we use z-test.

Sample mean : \overline{x}=79

Standard deviation : \sigma=\sqrt{20}\approx4.47

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{79-81}{\dfrac{4.47}{\sqrt{51}}}\\\\\Rightarrow\ z\approx-3.195

Critical value (one-tailed) corresponds to the given significance level :-

z_{\alpha}=z_{0.05}=1.645

Since the observed value of z (-3.195) is less than the critical value (1.645) , so we do not reject the null hypothesis.

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3 years ago
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