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4 years ago

13

A praying mantis is an interesting insect that can rotate its head 180 degrees.Suppose the praying mantis at the right is 10.5 c

entimeters long. What mixed number represents this length?

2 answers:

garri49 [273]4 years ago

4 0

Answer:

$10\frac{1}{2}$ inches.

Step-by-step explanation:

We have been given that a praying mantis at the right is 10.5 centimeters long. We are asked to represent the given length as a mixed number.

We know that a mixed number consists an integer and a fraction. We can represent our given number as:

$10.5\text{ cm}=10+0.5\text{ cm}$

$10.5\text{ cm}=10+0.5\times\frac{10}{10}\text{ cm}$

$10.5\text{ cm}=10+\frac{5}{10}\text{ cm}$

$10.5\text{ cm}=10+\frac{1}{2}\text{ cm}$

$10.5\text{ cm}=10\frac{1}{2}\text{ cm}$

Therefore, the mixed number $10\frac{1}{2}$ represents the given length.

Charra [1.4K]4 years ago

3 0

10.5 = 10 1/2 explanation is 1÷2 =0.5

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Using bootstrap, the standard error is: 0.050

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Step-by-step explanation:

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Sample A Sample B

$x_A = 30$ $x_B = 50$

$n_A = 100$ $n_B =250$

Solving (a): Standard error using formula

First, calculate the proportion of A

$p_A = \frac{x_A}{n_A}$

$p_A = \frac{30}{100}$

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$SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.30 * (1 - 0.30)}{100} + \frac{0.20* (1 - 0.20)}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.30 * 0.70}{100} + \frac{0.20* 0.80}{250}}$

$SE_{p_A-p_B} = \sqrt{\frac{0.21}{100} + \frac{0.16}{250}}$

$SE_{p_A-p_B} = \sqrt{0.0021+ 0.00064}$

$SE_{p_A-p_B} = \sqrt{0.00274}$

$SE_{p_A-p_B} = 0.052$

Solving (a): Standard error using bootstrapping.

Following the below steps.

Open Statkey
Under Randomization Hypothesis Tests, select Test for Difference in Proportions
Click on Edit data, enter the appropriate data
Click on ok to generate samples
Click on Generate 1000 samples ---- <em>see attachment for the generated data</em>

From the randomization sample, we have:

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$x_A = 23$ $x_B = 57$

$n_A = 100$ $n_B =250$

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$SE_{p_A-p_B} = \sqrt{\frac{0.1771}{100} + \frac{0.176016}{250}}$

$SE_{p_A-p_B} = \sqrt{0.001771 + 0.000704064}$

$SE_{p_A-p_B} = \sqrt{0.002475064}$

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============

<em>Hello to you from Brainly team!</em>

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Using the z-score table find the corresponding P- value.

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