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3 years ago

What is the range for the set of data? 6, 7, 10, 12, 12, 13

Mathematics

2 answers:

seropon [69]3 years ago

6 0

The range of the data is 6-13

Debora [2.8K]3 years ago

3 0

Answer: 7

Step-by-step explanation: The range is the difference between the greatest number in the data set and the least number in the data set.

I would recommend ordering these numbers from least to greatest first.

The data set is already written from least to greatest but I will still list it below.

Least to greatest - 6, 7, 10, 12, 12, 13

Since the greatest number in the data set is 13 and the least number in the data set is 6, we have 13 - 6 or 7.

So the range of this data set is 7.

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Quadratic Equation

Natasha_Volkova [10]

Step-by-step explanation:

The sum of ages of two friends is 13 years.

The product of their ages is 42.

Let the age of 1st friend and 2nd friend is x, y respectively.

1 st condition= The sum of ages of two friends is 13 yrs.

i.e x+y = 13........ (I)

2nd condition= The product of their ages is 42.

i.e X*y = 42........(ii)

From equation (I)

X+y = 13

or, X = 13-y........ (iii)

Putting the equation (iii) in equation (ii).

X*y= 42

(13-y) * y = 42

13y - y^2 = 42

${y}^{2} - 13y + 42 = 0$

${y}^{2} - (7 + 6)y + 42= 0$

${y}^{2} - 7y - 6y + 42 = 0$

$y(y - 7) - 6(y - 7) = 0$

$(y - 6) (y - 7) = 0$

Either; y-6 = 0

y = 6

Or;

y-7=0

y = 7

Keeping the value of y as "7" in equation (ii)

x*y = 42

7x = 42

X = 42/7

Therefore, the value of X is 6.

Therefore, either 1st friend is 6 years and 2nd is 7 years.

Hope it helps...

7 0

3 years ago

What comes next in the pattern?12,16,20 A. 10 B. 22 C. 23 D. 24

kolezko [41]

24 , it’s just skipping four letters up

7 0

3 years ago

How are the coordinates of the extreme value and the equation from part B in the form y=(x-h)^2-c related.

True [87]

The extreme value of y = (x - h)² - c is the vertex of the equation.

<h3>What are extreme values of a function?</h3>

The extreme values of a function are either the maximum or minimum values of the function.

<h3>The equation of a parabola in vertex form</h3>

The equation of a parabola in vertex form with vertex (h', k) is given by

y = a(x - h')² + k and its extreme values are

if a > 0 (h', k) is a minimum point and
if a < 0 (h', k) is a maximum point.

Since y = (x - h)² - c is the equation of a parabola in vertex form, comparing with y = a(x - h')² + k,

h = h'
-c = k and
a = 1.

So, the cooordinates of the vertex of y = (x - h)² - c is (h, -c).

Now, since a = 1 > 0, (h, -c) is a minimum point.

So, the extreme value of y = (x - h)² - c is the vertex of the equation.

Learn more about extreme value of a function here:

brainly.com/question/13464558

#SPJ1

4 0

2 years ago

The 'Queen Mary' used to sail across the Atlantic Ocean The ships usual speed was 33 miles per hour. On average, the ship used f

makkiz [27]

13403.07692307692 i think is the answer because you multiply 5280 by 33 and then divide by 13.

6 0

3 years ago

Mario volunteers 1 day each month at the animal shelter. For y days he cleans for 5.5 hours each day. On the other days he walks

viva [34]

Part A: The expression for the total number of minutes Mario volunteers each year at the animal shelter = (405/y) x 365

Part B: The simplified form of the expression for the total number of minutes Mario volunteers each year at the animal shelter = (147825/y) minutes

Number of days Mario volunteers each month at the animal shelter = 1

Number of hours Mario cleans for y days = 5.5 hours

Number of hours Mario each day = 5.5/y

Number of minutes Mario uses to walk dogs for y days = 75 minutes

Number of hours Mario uses to walk dogs for y days= 75/60

Number of hours Mario uses to walk dogs for y days= 1.25 hours

Number of hours Mario uses to walk dogs each day= 1.25/y

Total number of hours Mario volunteers in a day = Number of hours Mario cleans each day + Number of hours Mario uses to walk dogs

Total number of hours Mario volunteers in a day = 5.5/y + 1.25/y

Total number of hours Mario volunteers in a day = 6.75/y

Convert the number of hours to minutes

1 hour = 60 minutes

Total number of minutes Mario volunteers in a day = (6.75/y) x 60

Total number of minutes Mario volunteers in a day = (405/y) minutes

Number of days in 1 year = 365

The expression for the total number of minutes Mario volunteers each year at the animal shelter = (405/y) x 365

The simplified form of the expression for the total number of minutes Mario volunteers each year at the animal shelter = (147825/y) minutes

Learn more here: brainly.com/question/11780383

8 0

3 years ago

What is the range for the set of data? 6, 7, 10, 12, 12, 13​

What is the range for the set of data? 6, 7, 10, 12, 12, 13