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Juliette [100K]
3 years ago
14

Given the first type of plot indicated in each pair, which of the second plots could not always be generated from it?

Mathematics
1 answer:
Kisachek [45]3 years ago
6 0

Answer:

d. box plot, stem and leaf

Step-by-step explanation:

The box plot depicts the five number summary minimum, 1st quartile, median, third quartile and maximum while stem and leaf plot shows every observation in data. So, when the box plot is given, we can't generate stem and leaf plot for the data because we don't have sufficient information in this scenario i.e., we don't have every data value to generate stem and leaf plot. Whereas, If the stem and leaf plot is given first then we can generate box plot from it because we have every data value to compute 5-number summary to generate box plot.

a. From dot plot, the histogram can be generated because dot plot represents every data value in the form of dots and from every data value, we can generate histogram.

b. From dot plot, the stem and leaf plot can be generated because dot plot represents every data value in the form of dots and from every data value, we can generate stem and leaf plot.

c. From stem and leaf plot, the dot plot can be generated because stem plot represents every data value in the form of stem and leaf i.e. 12 can be represented as 1 for a stem and 2 for a leaf (1  2)  and so, from every data value we can generate dot plot.

d. From box plot, the stem and leaf plot can't be generated and the reason is explained in first paragraph. So, when the first type of plot is box plot then from it second plot stem and leaf plot can't be generated.

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A triangle has two sides of lengths 7 and 12. What value could the length of
Norma-Jean [14]

Answer:

A. 7

Step-by-step explanation:

Since the triangle sides are not defined, therefore let the base side have the 12 unit and one of the slant side be 7 unit.

Therefore height of the triangle, h can gotten from the Pythagoras theorem as thus:

7² = (12/2)² + h²

49 = 36 + h²

h² = 49 - 36 = 13

h = √13

knowing the height of the triangle, we can apply same rule to the other unknown slant side, x as thus:

x² = (12/2)² + h²

x² = 36 + 13 = 49

x = √49

x = 7

4 0
3 years ago
In the right triangle shown in the diagram below,
adelina 88 [10]

QUESTION :-

what is the value of x to the nearest whole number?

ANSWER :-

\cos( \theta)  =   \frac{base}{hypotenuse}  \\  \cos(30)  =  \frac{x}{24}  \\  \frac{ \sqrt{3} }{ \cancel2}  =  \frac{x}{ \cancel{24}}  =  \frac{x}{12}  \\ 1.732 =  \frac{x}{12}  \\ 12 \times 1.732 = x \\ x = 20.7

SO

the nearest whole number-->

20.7 --> approximately --> 21 units

5 0
2 years ago
For all values of x
Yuliya22 [10]

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

5 0
2 years ago
Find the square: (5x - 4y)2 <br><br> (and please put the process of solving the equation)
satela [25.4K]
(5x-4y)^2
(5x-4y)(5x-4y)

Multiply each term in one bracket in turn by the terms in the other bracket

(5x)(5x) = 25x^2
(5x)(-4y)=-20xy
(-4y)(5x)=-20xy
(-4y)(-4y)=16y^2

Put them together we have
25x^2-20xy-20xy-16y^2
25x^2-40xy-16y^2
7 0
2 years ago
For the following right triangle, find the side length of x. round your answer to the nearest hundredth.
tatyana61 [14]

Answer:

14.87 units

Step-by-step explanation:

The sides of all right triangles share the same relationship known as the Pythagorean Theorem a² + b² = c². Substitute the lengths of the triangle into the theorem and solve for the unknown side. Since the problem does have an attached a picture, assume that a = 10, b = 11, and c = x.

10² + 11² = x²

100 + 121 = 221²

221 = x²

√221 = √x²

14.87 = x

6 0
3 years ago
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