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
DiKsa [7]
3 years ago
6

A candle is 7 in. Tall after burning for 1 h. The same candle is 5 1/2 in. Tall after burning for 4 h. Write a linear equation t

o model the height y after burning x hours
Mathematics
1 answer:
miv72 [106K]3 years ago
5 0
You are given two points on the line:
.. (1, 7) and (4, 5.5)

You can use the 2-point form of the equation for a line.
.. y = (y2-y1)/(x2-x1)*(x -x1) +y1
.. y = (5.5 -7)/(4 -1)*(x -1) +7
.. y = -0.5x +7.5

Your linear equation is y = -0.5x +7.5
You might be interested in
Solve the inequality algebraically. Graph the solution.
kotykmax [81]

Don't be afraid of the inequality signs. pretend like it is an equal sign until you get your answer. then just switch the signs

8 0
3 years ago
A sample of 50 drills had a mean lifetime of 12.17 holes drilled when drilling a low-carbon steel. Assume the population standar
zmey [24]

Using the z-distribution, it is found that the 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

We are given the <u>standard deviation for the population</u>, hence, the z-distribution is used. The parameters for the interval is:

  • Sample mean of \overline{x} = 12.17
  • Population standard deviation of \sigma = 6.37
  • Sample size of n = 50.

The margin of error is:

M = z\frac{\sigma}{\sqrt{n}}

In which z is the critical value.

We have to find the critical value, which is z with a p-value of \frac{1 + \alpha}{2}, in which \alpha is the confidence level.

In this problem, \alpha = 0.95, thus, z with a p-value of \frac{1 + 0.95}{2} = 0.975, which means that it is z = 1.96.

Then:

M = 1.96\frac{6.37}{\sqrt{50}} = 1.77

The confidence interval is the <u>sample mean plus/minutes the margin of error</u>, hence:

\overline{x} - M = 12.17 - 1.77 = 10.4

\overline{x} + M = 12.17 + 1.77 = 13.94

The 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

A similar problem is given at brainly.com/question/22596713

6 0
3 years ago
Help!?!?<br>a. 13.12<br>b.13.20<br>c.12.75<br>d.12.96
MA_775_DIABLO [31]

Solved it!!! I hope it helps. Please say thanks and give 5 stars.

5 0
3 years ago
Read 2 more answers
HELP PLSSS, 20 POINTSSS
ruslelena [56]

Answer:

m1=43

Step-by-step explanation:

78-35=43

8 0
3 years ago
Read 2 more answers
SOLVED I NEED THE ANSWER ASAP
Mademuasel [1]

Answer: -5

Step-by-step explanation:

15.5z=-77.5\\z=-\frac{77.5}{15.5} \\z=-5

4 0
3 years ago
Read 2 more answers
Other questions:
  • A small-business owner must hire seasonal workers as the need arises. The following list shows the number of employees hired mon
    14·1 answer
  • What is ten less than 87
    8·2 answers
  • How do you write 70% as a rate per 100
    5·2 answers
  • -19.78 is rational or irrational
    10·1 answer
  • Please help! I would appreciate it!!
    10·1 answer
  • ASAP plizzzz I need help it's soooooo confusing
    11·1 answer
  • Circle L is shown. Line segments K L and M L are radii. The length of K L is 12. Angle M L K is 60 degrees. Sector M L K with a
    10·2 answers
  • What property is illustrated in the equation? 7 + 1/2 = 1/2 + 7
    5·1 answer
  • What is the surface area of a rectangle if the length is 4 1/5 the width is 9 1/2 and the height is 3 4/5?
    12·1 answer
  • What is greater than 4.026
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!