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3 years ago

Suppose that you measure a pen to be 10.5cm long. Convert this to meters.

Mathematics

2 answers:

Aleonysh [2.5K]3 years ago

8 0

A pen measuring 10.5 cm long is equivalent to 0.105 meters.

<h2>Further Explanation </h2><h3>Length </h3>

Length refers to a measurement of distance. It is the distance between two points.

<h3>S.I units </h3>

The S.I. units of lengths. However, length can be measured using other units such as millimeters, centimeters, kilometers, etc.

<h3>Metric system unit of measurement </h3>

It is a system of measurement that uses units such as gram, liter, and meter to measure mass, capacity and length respectively.
This system measures length based on meters, such that all the other units of lengths are based on an inter-conversion of units in meters.

<h3>Conversion of units measuring length </h3>

1 centimeter = 10 millimeters

1 meter = 100 centimeters

1 meter = 1000 millimeters

1 kilometer = 1000 meters

1 kilometer = 1000000 centimeters, and so forth.

Conversion of larger units to small units

To convert larger units of measurement to smaller units we multiply we multiply the number of larger units by the appropriate conversion factor.

<h3>Conversion of smaller units to larger units </h3>

When converting smaller units of measurements to larger units of measurements we divide the number of smaller units by the appropriate factor.
For example, to convert cm to m, we divide the number of cm by 100.

In the question;

The pen measures 10.5 cm

But, 1 meter = 100 centimeters

Thus;

10.5 cm will be equivalent to;

= 10.5 cm/100 cm

= 0.105 meters

Therefore, a pen measuring 10.5 cm in length is equivalent to 0.105 meters.

Keywords: Length, meters, centimeters, metric unit system

<h3>Learn more about: </h3>

Conversion of centimeters to length: brainly.com/question/2634632
Metric system of measurements: brainly.com/question/10880843
Units of measuring length: brainly.com/question/12001285

Level: Middle school

Subject: Mathematics

Topic: Metric system of measurements

Sub-topic: Units of measuring length

Vinvika [58]3 years ago

6 0

<span>the answer: the following methods are the main rule according to the convertions we know this followin table: km hm dam m dm cm mm. if we want to change or convert any value, cm to meters, meters to km, or anything else, just follow this: converting dm (decimeter) to m, just multiply the number by 0.1, converting cm (centimeter) to m, just multiply the number by 0.01, converting mm (millimeter) to m, just multiply the number by 0.001, in our case, we have: convert 10.5cm to meters, so it is 10.5 x 0.01 =0.105 meters</span>

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Answer:

$0.7 - 2.58 \sqrt{\frac{0.7(1-0.7)}{500}}=0.647$

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And the 99% confidence interval would be given (0.647;0.753).

So the correct answer would be:

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Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

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The population proportion have the following distribution

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Solution to the problem

The estimated population proportion for this case is:

$\hat p = \frac{350}{500}=0.7$

The confidence interval would be given by this formula

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

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

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And replacing into the confidence interval formula we got:

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3 years ago

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Median-

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An attempt is made to show the regroupings in the attachment. In each case there are two of them. However, working left-to-right, the result of the first subtraction of 6 ten-thousands is 19 ten-thousands, so you never actually write down anything else. Of course, if you're using an abacus or soroban, you don't write down anything—you simply change the position of the beads on the tool.

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4 years ago