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3 years ago

What value does the 3 represent in the number 16.344?

Mathematics

1 answer:

goblinko [34]3 years ago

5 0

Answer:

the 3 is in the tenths place

Step-by-step explanation:

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64,500+38,970, I think.

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Estimate 154 divide 7<br>

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154 divided by 7 is 22

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If outliers are discarded, then the retirement savings by residents of Econistan is normally distributed with a mean of $100,000

zavuch27 [327]

Answer:

$P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)$

And we can find this probability using the complement rule and the normal standard table or excel:

$P(z>0.85)=1-P(z$

The firgure attached illustrate the problem

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the retirement savings of a population, and for this case we know the distribution for X is given by:

$X \sim N(100000,20000)$

Where $\mu=100000$ and $\sigma=20000$

We are interested on this probability

$P(X>117000)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)$

And we can find this probability using the complement rule and the normal standard table or excel:

$P(z>0.85)=1-P(z$

The firgure attached illustrate the problem

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3 years ago

What is a perfect square 6, 10, 12, 14

vaieri [72.5K]

Answer:

None of the numbers are Perfect Square.

Step-by-step explanation:

6, 10, 12, and 14 are not <u>Perfect Square</u>, because each number are multiplied by two different numbers:

$6 = 3 \times 2$

$10 = 5\times 2$

$12 = 6\times 2$

$14 = 7 \times 2$

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4 years ago

Various pieces of string are cut at different lengths. Stephanie selects three pieces that measure 4.5 cm, 6 cm, and 8.5 cm. Det

Yakvenalex [24]

Answer:

Scalene triangle

Step-by-step explanation:

In this question, we are asked to determine what type of triangle will be formed given the length of the pieces which was used to form the triangle.

A triangle is one of the simplest shape in geometry. In fact it is one of the basic shapes that we have in geometry. It is a 3 sided polygon that contains 3 different edges or tips and 3 vertices.

According to the values in the question, we can see that the lengths of the pieces given are different. Now what does this mean for the triangle formed?

The type of triangle formed here would be a scalene triangle. A scalene triangle is a type of triangle in which all of its 3 sides have different lengths. Consequentially, the angles formed by these three sides also are different.

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