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alekssr [168]
3 years ago
5

Find the interquartile range of the data. A. 5 B. 8 C. 13D. 17

Mathematics
1 answer:
White raven [17]3 years ago
3 0
Look at the edges of the box and we see that the first quartile (Q1) and the third quartile (Q3) are
Q1 = 6
Q3 = 14

Subtract them to get the IQR
IQR = Interquartile Range
IQR = Q3 - Q1
IQR = 14 - 6
IQR = 8

Answer is choice B) 8
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Lisa brought half of her savings to the bakery and bought 12 croissants for $14.20. The amount of money she brings home with her
liraira [26]

Answer:

Before going to the bakery, Lisa had more than $32.40.

Step-by-step explanation:

Hi there!

Let x be Lisa´s savings.

She brings half of her savings to the bakery and expends $14.20. What is left is more than $2.00. Then:

x/2 - 14.2 > 2

Let´s solve the inequality:

x/2 - 14.2 > 2

Add 14.2 to both sides of the inequality.

x/2 > 2 + 14.2

x/2 > 16.2

Multiply by 2 both sides of the inequality.

x > 32.4

Before going to the bakery, Lisa had more than $32.40.

8 0
4 years ago
To travel from New York to Philadelphia at 50 mph, it takes 20 more minutes than to travel the same distance at 60 mph. Find the
Lana71 [14]

Answer:the distance between the two cities is 100 miles

Step-by-step explanation:

Let x represent the distance between New York and Philadelphia.

Let t represent the time it takes to travel from New York to Philadelphia at 50 mph

Distance speed × time

time = distance/speed

To travel from New York to Philadelphia at 50 mph,

x = 50t

it takes 20 more minutes than to travel the same distance at 60 mph. Converting 20 minutes to hours, it becomes 20/60 = 1/3 hours. This means that

x = 60(t - 1/3) = 60t - 20

Since the distance is the same,

60t - 20 = 50t.

60t - 50t = 20

10t = 20

t = 20/10 = 2

Therefore

x = 50t = 50 × 2 = 100 miles

8 0
4 years ago
Charlie graphs the equation y= –12x+2 .
Luda [366]

Answer:

The y intercept of the line is 2

Step-by-step explanation:

The graph is not a straight line

the slope of the line is -12 not 12

the y intercept is usually known as c in the equation y=mx+c

and our c is 2

Hence y intercept is 2

4 0
3 years ago
The graph represents function 1, and the equation represents function 2:
kvv77 [185]

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope or rate of change of the function can be:

  • positive
  • negative
  • zero, or
  • undefined

Function 1

From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0

so using the slope formula

Rate of change = m = y₂-y₁ / x₂-x₁

Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)

Rate of change = m = 4-4 / 1-0

Rate of change = m = 0/1

Rate of change = m = 0

Thus, the rate of change of function 1 is zero.

Function 2

We know the slope-intercept form of linear equation is

y = mx+b

where m is the rate of change or slope of the function and b is the y-intercept

Given the function

y = 8x+12

comparing with the slope-intercept form i.e. y = mx+b

Therefore, the rate of change of function 2 = m = 8

Conclusion

The rate of change of function 1  = 0

The rate of change of function 2  = 8

as

  • 8 - 0 = 8

Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.

6 0
3 years ago
According to the Square Root property of Equations, the solution set of x2 = 25 is {±5}.
Gala2k [10]
Justify "<span>x2 = 25 is {±5}"

First, please write x^2, not x2.

</span><span>x^2 = 25; solve for x.  Take the sqrt of both sides.  Must write "plus or minus " in front of the sqrt of 25:

x^2 = 25 becomes x = plus or minus 5, so x: {-5, 5}</span>
7 0
4 years ago
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