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Marizza181 [45]
3 years ago
15

When the data have the properties of ordinal data and the interval between observations is expressed in terms of a fixed unit of

measure, the variable has which scale of measurement?
Mathematics
1 answer:
seropon [69]3 years ago
8 0

Answer: Interval

Step-by-step explanation:

When there is a fixed unit of measure that means arithmetic operations like addition and subtraction can be done on it. So it is interval scale of measurement.

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Identify the area of the figure rounded to the nearest tenth. HELP?!! I don't understand!! Please help and show your work!!
Alex73 [517]

Answer:

67.5\ cm^{2}

Step-by-step explanation:

we know that

The area of the figure is equal to the area of rectangle (figure 1) plus the area of trapezoid (figure 2)

see the attached figure to better understand the problem

The area of the rectangle is

A=15*3=45\ cm^{2}

The area of the trapezoid is

A=\frac{1}{2}[(15-9)+3)](8-3)

A=\frac{1}{2}[6+3)](5)=22.5\ cm^{2}

The area of the figure is

45\ cm^{2}+22.5\ cm^{2}=67.5\ cm^{2}

8 0
2 years ago
Solve for x: 6x-4 over 3+2x=5/6
viktelen [127]

Domain:\\\\3+2x\neq0\to x\neq-1.5\\\\\dfrac{6x-4}{3+2x}=\dfrac{5}{6}\qquad\text{cross multiply}\\\\6(6x-4)=5(3+2x)\qquad\text{use distributive property}\\\\(6)(6x)+(6)(-4)=(5)(3)+(5)(2x)\\\\36x-24=15+10x\qquad\text{add 24 to both sides}\\\\36x=39+10x\qquad\text{subtract 10x from both sides}\\\\26x=39\qquad\text{divide both sides by 26}\\\\x=\dfrac{39}{26}\\\\x=\dfrac{39:13}{26:13}\\\\\boxed{x=\dfrac{3}{2}}\in D

5 0
3 years ago
The ratio of working-age population to the elderly in the United States (including projections after 2000) is given by the funct
Dovator [93]

Answer:

a) Sketch the graph of the function f. (it is in the attached file)

b) What was the ratio at the beginning of 2006? At the beginning of 2014?

For 2006 the ratio is 3.92

For 2014 the ratio is 3.5

c) Over what years is the ratio constant?

[1995, 2000]

d) Over what years is the decline of the ratio greatest?

[2010, 2030]

Step-by-step explanation:

b) We first need to know in between which function 2006 falls into, so if we start in t=0=1995, then 2006-1995=11, t=11

t=11 fall into:

f(x)=-0.03t+4.25

f(11)=-0.03(11)+4.25=3.92

For 2006 the ratio is 3.92

2014:

Same process that 2006, t=0=1995, then 2014-1995=19, t=19

t=19fall into:

f(x)=-0.075t+4.925

f(19)=-0.075(11)+4.925=3.5

For 2014 the ratio is 3.5

c) The ratio is only constant in the first section of the graph 0≤t<5, since 4.1 is constant. Following the same process for the years in star (b) we have t=0, 1995+0=1995, t=5, 1995+5=2000.

The ratio will be constant between [1995, 2000]

d) For the greatest decline we need to compare slopes. From the line equation we have:

y(x)=mx+b where m is the slope and b is the point the line intersects with the y axis. Here we have:

f(x)=-0.03t+4.25  for 5≤t<15

f(x)=-0.075t+4.925  for 15≤t≤35

So:

m=-0.03 for 5≤t<15

m=-0.075 for 15≤t≤35

If we are measuring the steepness of the decline, we have to compare:

|-0.03| and |-0.075| or 0.03 and 0.075, easily finding that 0.075>0.03

And doing the sames process for the years in question (c):

t=15, 1995+15=2010, and t=35, 1995+35=2030

This means that the biggest decline is between the years:

[2010, 2030]

3 0
3 years ago
The hart family drove 10 hours to their vacation spot. they drove an average of 48 miles each hour. how miles did they drive in
tankabanditka [31]

Distance = Average speed * Time = 48*10 = 480 miles

So, they drove for 480 miles

8 0
3 years ago
Read 2 more answers
Any help plzzz I’ll appreciate it so much thank u
docker41 [41]

9514 1404 393

Answer:

  5√5

Step-by-step explanation:

Use the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((-7-(-2))² +(-7-3)²) = √((-5)² +(-10)²) = √(25 +100)

  d = √125 = √(25·5)

  d = 5√5 . . . . distance between the points

3 0
2 years ago
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