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2 years ago

2 25 divided by 11 10 in fraction

Mathematics

2 answers:

Mashutka [201]2 years ago

5 0

The given information is,

→ (2/25) ÷ (11/10) = ?

Let's find the required solution,

→ (2/25) ÷ (11/10)

→ (2/25) × (10/11)

→ 20/275

→ 4/55 {simplest form}

Hence, 4/55 is the answer.

koban [17]2 years ago

4 0

Answer:

$\frac{4}{55}$

Step-by-step explanation:

$\frac{2}{25} \div \frac{11}{10}$

$\frac{2}{25} \times \frac{10}{11}$

$\frac{2}{5} \times \frac{2}{11} = \frac{2 \times 2}{5 \times 11}$

$\frac{4}{5 \times 11}$

$= \frac{4}{55}$

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Express the confidence interval

marissa [1.9K]

Answer:

$\hat p = \frac{0.244+0.326}{2}=0.285$

$ME = \frac{0.326-0.244}{2}=0.041$

$0.285 \pm 0.041$

Step-by-step explanation:

For this case we have a confidence interval given as a percent:

$24.4\% \leq p \leq 32.6\%$

If we express this in terms of fraction we have this:

$0.244 \leq p \leq 0.326$

We know that the confidence interval for the true proportion is given by:

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

And thats equivalent to:

$\hat p \pm ME$

We can estimate the estimated proportion like this:

$\hat p = \frac{0.244+0.326}{2}=0.285$

And the margin of error can be estimaed using the fact that the confidence interval is symmetrical

$ME = \frac{0.326-0.244}{2}=0.041$

And then the confidence interval in the form desired is:

$0.285 \pm 0.041$

7 0

3 years ago

Is f(x) continuous at x equals 4? Why or why not? A. No, f(x) is not continuous at x equals 4 because ModifyingBelow lim Wit

soldier1979 [14.2K]

<u>Corrected Question</u>

Is the function given by:

$f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right$

continuous at x=4? Why or why not? Choose the correct answer below.

Answer:

(D) Yes, f(x) is continuous at x = 4 because $Lim_{x \to 4}f(x)=f(4)$

Step-by-step explanation:

Given the function:

$f(x)=\left\{\begin{array}{ccc}\frac{1}{4}x+1 &x\leq 4\\4x-11&x>4\end{array}\right$

A function to be continuous at some value c in its domain if the following condition holds:

f(c) exists and is defined.

$Lim_{x \to c}$ f(x)$ exists.

$f(c)=Lim_{x \to c}$ f(x)$

At x=4

$f(4)=\dfrac{1}{4}*4+1=2$

$Lim_{x \to 4}f(x)=2$

Therefore: $Lim_{x \to 4}f(x)=f(4)=2$

By the above, the function satisfies the condition for continuity.

The correct option is D.

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Answer:

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Step-by-step explanation:

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