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
Grace [21]
3 years ago
10

What is the COMMON RATIO of the geometric sequence: 3024, 504, 84, 14, ...* 2

Mathematics
1 answer:
Anton [14]3 years ago
5 0

Answer:

\frac{1}{6}

Step-by-step explanation:

To find the common ratio of a geometric sequence, we  can divide one of the terms by the one before it

r = \frac{u_n}{u_{n-1}}

Let's try to apply that to the sequence in the question prompt:

r = \frac{504}{3024}\\\\r = \frac{1}{6}

The common ratio must be the same all throughout the sequence, so we can try this with two other values from the sequence just to be sure

r = \frac{84}{504}\\\\r = \frac{1}{6}

Now we can be sure that the common ratio of this geometric sequence is \frac{1}{6}

Note: r is usually used to denote the common ratio

Good luck!

You might be interested in
Identify the following series as arithmetic, geometric, both, or neither. ​
Bond [772]
I think that is arithmetic i not totally sure
5 0
3 years ago
What divides each median into two sections at a 2:1 ratio? Question 6 options: a) circumcenter b) incenter c) centroid d) orthoc
allochka39001 [22]

Answer:

C. Centroid

Step-by-step explanation:

The circumcenter is the center of a triangle's circumcircle (circumscribed circle over triangle). It can be found as the intersection of the perpendicular bisectors.

The incenter is the center of the incircle (inscribed circle into a triangle) of a triangle. The incenter can be constructed as the intersection of angle bisectors.

Centroid is the point where the three medians of the triangle intersect.

The intersection of the three altitudes of a triangle is called the orthocenter.

Since three medians intersect at point which divides each median into 2:1 ratio, the answer is centroid.

6 0
3 years ago
Read 2 more answers
Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of th
IceJOKER [234]

Answer:

t(x) = 450 - 0.06x

Step-by-step explanation:

6 0
3 years ago
What is the area of a circle with a Radius of 4 and a Diameter of 2?<br><br> (Its on Khan)
algol13

Answer:4^2≈50.26548

Step-by-step explanation:

   πr2.

   Where r is the radius and π≈3.14 , the ratio of a circle's circumference to    its diameter.

   Plugging in 4 from the radius, we get.

   42π

   ⇒16π inches.

   This is our exact answer. Alternatively, we can plug in 3.14 for π to get.

   50.26 inches.

7 0
2 years ago
An art history professor assigns letter grades on a test according to the following scheme.A: Top 5% of scoresB: Scores below th
adoni [48]

Answer:

Grade B score:

76 \leq x \leq 89    

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73.3

Standard Deviation, σ = 9.7

We are given that the distribution of score on test is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

B: Scores below the top 5% and above the bottom 62%

We have to find the value of x such that the probability is 0.62

P( X > x) = P( z > \displaystyle\frac{x - 73.3}{9.7})=0.62  

= 1 -P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.62  

=P( z \leq \displaystyle\frac{x - 73.3}{9.7})=0.38  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 73.3}{9.7} = 0.305\\\\x = 76.26  

We have to find the value of x such that the probability is 0.05

P(X < 0.95) = \\\\P( X < x) = P( z < \displaystyle\frac{x - 73.3}{9.7})=0.95

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 73.3}{9.7} = 1.645\\\\x = 89.26  

Thus, the numerical value of score to achieve grade B is

76 \leq x \leq 89

7 0
3 years ago
Other questions:
  • I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT.
    5·1 answer
  • Which exponential expression represents the numerical expression 7⋅7⋅7⋅7?
    6·1 answer
  • If b is between a and c find the value of x and the measure of line bc
    11·1 answer
  • What is the answer to this question
    13·1 answer
  • Estimate the number 352,222
    8·1 answer
  • Helpp i need need!! i have a math exam coming up and im really bad so helpp
    8·2 answers
  • A pattern is made from four congruent squares. The sides of the squares are parallel to the axes. Point A has coordinates (3,2)
    8·1 answer
  • The scale drawing of a concrete pad has a length of 9.1 cm, a depth of 2.2 cm and a width of 3.8 cm.
    14·1 answer
  • A woman can plait hair for 20 girls in 5
    5·1 answer
  • What is 1/7 + 2/7 =
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!