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stepladder [879]
3 years ago
12

Which measure of variation is found by placing the data in ascending order and subtracting the lowest value from the highest val

ue?
Mathematics
1 answer:
igomit [66]3 years ago
7 0

Answer:

Range

Step-by-step explanation:

The range of a given set of data is the difference between the largest value and the smallest value in the data. For convenience and ease in the calculation, it is advisable to place the data in ascending order.

For example, given the following set of data:

4,9,5,6,2

To find the range;

<em>=> First arrange the data in ascending order</em>

2,4,5,6,9

<em>=> Find the smallest and largest numbers and then find their difference.</em>

Since the data has been arranged, it is obvious to see that the smallest number is <em>2</em> and the largest number is <em>9.</em>

Therefore the;

range = 9 -2 = 7

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State what additional information is required in order to know that the triangles are congruent by SAS
zalisa [80]
<h3>You are correct. The answer is the second choice.</h3>

BC = JC by the single tickmarks shown

CD = CD because of the reflexive property

The angles between these two pairs of sides, that you've marked in the second answer choice, are needed to use SAS (side angle side).

See the diagram below. In the diagram, angle BCD (green) is between segments BC and CD. Also, angle JCD (blue) is between JC and CD.

3 0
3 years ago
Hi guys, can anyone help me with this triple integral? Many thanks:)
Crank

Another triple integral.  We're integrating over the interior of the sphere

x^2+y^2+z^2=2^2

Let's do the outer integral over z.   z stays within the sphere so it goes from -2 to 2.

For the middle integral we have

y^2=4-x^2-z^2

x is the inner integral so at this point we conservatively say its zero.  That means y goes from -\sqrt{4-z^2} and +\sqrt{4-z^2}

Similarly the inner integral x goes between \pm-\sqrt{4-y^2-z^2}

So we rewrite the integral

\displaystyle \int_{-2}^{2} \int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}} \int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dx \; dy \; dz

Let's work on the inner one,

\displaystyle\int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dz

There's no z in the integrand, so we treat it as a constant.

=(x^2+xy+y^2)z \bigg|_{z=-\sqrt{4-y^2-z^2}}^{z=\sqrt{4-y^2-z^2}}

So the middle integral is

\displaystyle\int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}}2(x^2+xy+y^2)\sqrt{4-y^2-z^2} \ dy  

I gotta go so I'll stop here, sorry.

7 0
3 years ago
Read 2 more answers
A point is reflected over the y-axis to graph a new point. Are the x-coordinates of these points opposite of each other? Hewp!
musickatia [10]
Well let's say you have a coordinate (2, -1)

Now if we reflect it upon the y-axis we'll end up at the coordinate (2,1)

We see that the x value is still the same. 
4 0
4 years ago
Write the sentence as an inequality.<br> The sum of a number w and 4 is more than -12.
Rudiy27

Answer:

the answer is w + 4 › -12

Step-by-step explanation:

gxyexdx

5 0
3 years ago
The number of surface flaws in a plastic roll used for auto interiors follows a Poisson distribution with a mean of 0.05 flaw pe
ElenaW [278]

Answer:

0.6065

Step-by-step explanation:

Probability mass function of probability distribution : P(X=x)=\frac{e^{-\lambda} \times \lambda^x}{x !}

a mean of 0.05 flaw per square foot

Each car contains 10 sq.feet of the plastic roll

Mean = 0.05

Mean = \lambda = 0.05 \times 10=0.5

We are supposed to find What is the probability that there are no flaws in a given car’s interior i.e,P(X=0)

Substitute the value in the formula

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P(X=0)=\frac{e^{-0.5} \times (0.5)^0}{1}

P(X=0)=0.6065

Hence the probability that there are no flaws in a given car’s interior is 0.6065

5 0
3 years ago
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