1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kow [346]
3 years ago
15

Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly trav

el in 24 hours if it continues to fly at the same speed? (look at the image below)
The dependent variable is distance, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.
The dependent variable is time, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is time, the equation is y = 20x, and the dragonfly will travel 480 miles.

Mathematics
2 answers:
ivann1987 [24]3 years ago
8 0

Answer:

<h2>The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.</h2>

Step-by-step explanation:

According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.

To find the equation, we just need to find the slope, using two points (0,0) and (2,40).

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{40-0}{2-0}=20

Therefore, the equation is y=20x, which shows a direct proportion between variables.

Now, in 24 hours, it would travel

y=20(24)=480

It would travel 480 miles.

Therefore, the right answer is the second choice.

vova2212 [387]3 years ago
6 0
40/2 = 20
so 
y = 20x

y = distance (miles) and x = time (hours)
so if x = 24 then y = 20x = 20(24) = 480

answer
<span>The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles. </span>
You might be interested in
What is the domain of (g/f)(x)?<br><br> f(x) = x<br> g(x) = 1
Reika [66]

Answer:

All the real numbers except 0

5 0
3 years ago
Read 2 more answers
8y + 4x + 6y=? Plz help
postnew [5]

Answer:

idk, sorry about that one

8 0
3 years ago
Read 2 more answers
What is the value of c so that y=x^2+15x+c is a perfect square.
Verizon [17]
Divide 15 by 2, then square the amount.

(15/2)^2 = 225/4
7 0
3 years ago
Read 2 more answers
In the function f (x) = = (x²-1) / (x-1), what happens if x takes the value of 1? Explain your answer.
zhenek [66]

Answer:

If x=1, then f(x)= undefined

Step-by-step explanation:

1*1=1

1-1=0

0/0

You can't divide by 0, so anything that is divided by 0 is undefined.

((1*1)-1)/(1-1)

(1-1)/(1-1)

0/0

0/0=Undefined

f(x)= undefined

6 0
3 years ago
A sample of salary offers (in thousands of dollars) given to management majors is: 48, 51, 46, 52, 47, 48, 47, 50, 51, and 59. U
balu736 [363]

Answer:

Step-by-step explanation:

number of samples, n = 10

Mean = (48 + 51 + 46 + 52 + 47 + 48 + 47 + 50 + 51 + 59)/10 = 49.9

Standard deviation = √(summation(x - mean)/n

Summation(x - mean) = (48 - 49.9)^2 + (51 - 49.9)^2 + (46 - 49.9)^2+ (52 - 49.9)^2 + (47 - 49.9)^2 + (48 - 49.9)^2 + (47 - 49.9)^2 + (50 - 49.9)^2 + (51 - 49.9)^2 + (59- 49.9)^2 = 128.9

Standard deviation = √128.9/10 = 3.59

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 10 - 1 = 9

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.262

Margin of error = 2.262 × 3.59/√10

= 2.57

the lower limit of this confidence interval is

49.9 - 2.57 = 47.33

the lower limit of this confidence interval is

49.9 + 2.57 = 52.47

So it is false

6 0
3 years ago
Other questions:
  • ANSWER QUICK PLEASE!!!!!!! 15 POINTS
    10·2 answers
  • What is 72/97 as a percentage Give your answer rounded to one decimal place
    11·2 answers
  • Draw 13 ones and 2 hundred
    5·1 answer
  • The data in the table are linear. Use the table to find the slope.
    9·2 answers
  • A Cupid shipping crate has a volume of 27 ft.³ what are the dimensions of the crate
    7·1 answer
  • What is the area of the figure?<br><br> _______ ft2
    13·1 answer
  • (02.07)<br> Solve for x.<br> -ax + 3b &gt; 5
    5·1 answer
  • Solve 2 s^3 − 4r^ 2 if r = 1 and s = 5 . step by step
    9·1 answer
  • Which ordered pair is a solution of the equation? y=-2x-5y
    9·2 answers
  • Graph y=1x. Sketch the graph below.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!