answer.
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
Nadusha1986 [10]
1 year ago
11

4) An arithmetic sequence has a 7th term of 54 and a 13th term of 94. Find the common difference

Mathematics
1 answer:
san4es73 [151]1 year ago
6 0

Answer:

20/3

Step-by-step explanation:

Every nth term takes the form of  a + n*d, where a is the first  term.

So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).

equate them both:

94 - 13d = 54 - 7d

40 = 6d

d = 40/6

You might be interested in
A manager states that his process is really working well. Out of 1,500 parts, 1,477 were produced free of a particular defect an
Nina [5.8K]

Answer:

The answer is explained below

Step-by-step explanation:

STEP 1

Out of 1500 units produced by a company 1,477 are found to be free of a particular type of defect. One needs to rate the performance based on Six Sigma Theory.

STEP 2

Manager can define the performance of a product using defects per million units DPMO metric

DPMO can be find by using

DPMO = Total number of defects in a sample/ No. of opportunities of per error per unit x No. of units * 1,000,000

          = 1500 - 1477/ 1 x 1500* 1,000,000

          = 23/1500

          = 15,333,33

The defect rate of the process can be find by

Defect rate = No. of defects/ No. of units * 100

                   = 1500 - 1477/1500 * 100

                   = 23/1500 * 100

                   = 1.53%

Six Sigma theory focuses on achieving 3.4 defects per million for a certain period of time. However in this, performance of the process is not as good as stated by the manager.

8 0
1 year ago
Read 2 more answers
An element with mass 730 grams decays by 28.8% per minute. How much of the element is remaining after 10 minutes, to the nearest
trasher [3.6K]
\bf \qquad \textit{Amount for Exponential Decay}\\\\
A=P(1 - r)^t\qquad 
\begin{cases}
A=\textit{accumulated amount}\\
P=\textit{initial amount}\to &730\\
r=rate\to 28.8\%\to \frac{28.8}{100}\to &0.288\\
t=\textit{elapsed time}\to &10\\
\end{cases}
\\\\\\
A=730(1-0.288)^{10}\implies A=730(0.712)^{10}
6 0
2 years ago
Read 2 more answers
While vacationing, Rosalie sees a mountain and its reflection on the still water of a lake. She draws the mountain and its refle
Greeley [361]

Answer:

I would say (2,-9) is her projection

6 0
1 year ago
Stevic's earnings. Sunday newspaper: Start at $ 36 and add $ 4 . Saturday newspaper: Start at $ 12 and add $ 2.50 . Part B Stevi
Crank
Your Answer is 14.50.b is 27
4 0
1 year ago
A particular rocket taking off from the earth surface uses fuel at a constant rate of 12.5 gallons per minute the rocket initial
faltersainse [42]

Answer:

y=12.5x+225

Step-by-step explanation:

Let

x ----> the number of minutes

y ----> the amount of fuel in gallons

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the unit rate or slope

b is the y-intercept or initial value

we have that

The unit rate or slope is equal to

m=12.5\ \frac{gal}{min}

b=225\ gal ----> initial value (value of y when the value of x is equal to zero)

substitute

y=12.5x+225

3 0
1 year ago
Other questions:
  • Woody’s Cafe Real Estate tax of $1,110.85 was due on November 1, 2010. Due to financial problems, Woody was unable to pay his ca
    12·1 answer
  • You are considering purchasing a robot to help you with household chores such as vacuuming. While you are researching​ options,
    8·1 answer
  • Rework problem 28 from section 3.1 of your text, involving the inspection of refrigerators on an assembly line. You should still
    7·1 answer
  • The Ortiz family will travel round-trip from Indianapolis to Denver this summer. The driving distance between the two cities is
    7·1 answer
  • Judy built a rectangular patio that is 9 meters wide and has a perimeter of 40 meters what is the length of Judy’s patio
    14·1 answer
  • Li wants to add these items to her suitcase: a hairdryer (1.25 lb), a hand-held video game (0.6 lb), an extra video game (0.25 l
    8·2 answers
  • What is the rate of change in y per unit change in x for the function 30x+5y=15
    14·1 answer
  • Four grey polygons join together as shown in the diagram. I’ve calculated angle a but I don’t know angle b. Angle a is 108
    8·1 answer
  • Given the table of values below, which of the following ordered pairs are found on the graph of the inverse function?
    14·1 answer
  • A hot air balloon is flying at a constant speed of 20 mi/h at a bearing of N 36° E. There is a 10mi/h crosswind blowing due east
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!