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3 years ago

6

Identify the MODE among the following data set: 5, 6, 1, 0, 6, 4, 2, 19, 6, 1, and 3.

2 answers:

omeli [17]3 years ago

8 0

Answer:

The mode is 6

Step-by-step explanation:

mode is the value that appears most frequently in a data set

so, 6 has been repeted 3 times.

mars1129 [50]3 years ago

8 0

Answer:

Mode: 6

Step-by-step explanation:

To find the mode you have to find the number that appears the most.

5, 6, 1, 0, 6, 4, 2, 19, 6, 1, and 3.

Highlight the number that appears the most

5, 6, 1, 0, 6, 4, 2, 19, 6, 1, 3.

Have a great day! :)

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what is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187.5, …

Crazy boy [7]

Let

$a1=768\\a2=480\\a3=300\\a4=187.5$

Step $1$

Find $\frac{a2}{a1}$

$\frac{a2}{a1} =\frac{480}{768}$

Divide by $96$ numerator and denominator

$\frac{480}{768} =\frac{\frac{480}{96}}{\frac{768}{96}} \\ \\ \frac{480}{768}=\frac{5}{8}$

$a2=a1*\frac{5}{8}$

Step $2$

Find $\frac{a3}{a2}$

$\frac{a3}{a2} =\frac{300}{480}$

Divide by $60$ numerator and denominator

$\frac{300}{480} =\frac{\frac{300}{60}}{\frac{480}{60}} \\ \\ \frac{300}{480}=\frac{5}{8}$

$a3=a2*\frac{5}{8}$

Step $3$

Find $\frac{a4}{a3}$

$a4=187.5 \\ a4=187\frac{1}{2} \\ \\ a4=\frac{375}{2}$

$\frac{a4}{a3} =\frac{\frac{375}{2}}{300} \\ \\ \frac{a4}{a3} =\frac{375}{600}$

Divide by $75$ numerator and denominator

$\frac{375}{600} =\frac{\frac{375}{75}}{\frac{600}{75}} \\ \\ \frac{375}{600}=\frac{5}{8}$

$a4=a3*\frac{5}{8}$

In this problem

The geometric sequence formula is equal to

$a(n+1)=a(n)*\frac{5}{8}\\$

For $n\geq 1$

therefore

the answer is

the common ratio for the geometric sequence above is $\frac{5}{8}$

6 0

3 years ago

Read 2 more answers

What is the slope of the line that passes through the points (7.-12) and (-9,36)?

REY [17]

Answer:

Step-by-step explanation:

m = slope where

m = rise / run

rise = y2 - y1

run = x2 - x1

where

the given point P1 = (7, -12)

and is in the form of (x1,y1)

and

the given point P2 = (-9,36)

is in the form of (x2,y2)

then

m = ( y2 - y1 ) / ( x2 - x1 )

m = ( 36 - (-12) ) / ( -9 -7 )

m = ( 36 + 12 ) / ( - 16 )

m = 48 / - 16

m = - 3

the slope is negative 3

slope = - 3

4 0

3 years ago

What is the ratio of the area of the inner square to the area of the outer square?

Anastasy [175]

Answer:

$\frac{(a-b)^2+b^2}{a^2}$

Step-by-step explanation:

Since, By the given diagram,

The side of the inner square = Distance between the points (0,b) and (a-b,0)

$=\sqrt{(a-b-0)^2+(0-b)^2}$

$=\sqrt{(a-b)^2+b^2}$

Thus the area of the inner square = (side)²

$=(\sqrt{(a-b)^2+b^2})^2$

$=(a-b)^2+b^2\text{ square cm}$

Now, the side of the outer square = Distance between the points (0,0) and (a,0),

$=\sqrt{(a-0)^2+0^2}$

$=\sqrt{a^2}=a$

Thus, the area of the outer square = (side)²

$=a^2\text{ square cm}$

Hence, the ratio of the area of the inner square to the area of the outer square

$=\frac{(a-b)^2+b^2}{a^2}$

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Lubov Fominskaja [6]

The answer is 5 <span>h/km. Because the unit is already in 1 hour, you don't need to divide and h/km is just the Canadian way to say km/h. </span>

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3 years ago

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