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
iragen [17]
2 years ago
14

The fourth term of a Geometric Progression is 48 and the sixth term is 12. Find the

Mathematics
1 answer:
erastova [34]2 years ago
7 0

Answer:

Common ratio = 1/2 and first term = 384

or common ratio = -1/2 and first term = -384.

Step-by-step explanation:

T6/T4 = r^5 / r^3  where r = the common ratio and T6 and T4 are 6th and 4th terms

r^5 / r^3 = 12/48

r^2 = 1/4

so r = +/- 1/2.

The 4th term = a r^3  where a = first term.

If r = 1/2:-

48 = a *(1/2)^3 = a/8  

a = 8*48

= 384.

if r = -1/2,  then a = -384

You might be interested in
-12x + 18y = 21<br>(6x -9 = -9​
Leokris [45]

Answer:

x = 0 , y = 7/6

Step-by-step explanation:

Solve the following system:

{18 y - 12 x = 21

6 x - 9 = -9

In the second equation, look to solve for x:

{18 y - 12 x = 21

6 x - 9 = -9

Add 9 to both sides:

{18 y - 12 x = 21

6 x = 0

Divide both sides by 6:

{18 y - 12 x = 21

x = 0

Substitute x = 0 into the first equation:

{18 y = 21

x = 0

In the first equation, look to solve for y:

{18 y = 21

x = 0

Divide both sides by 18:

{y = 7/6

x = 0

Collect results in alphabetical order:

Answer: {x = 0 , y = 7/6

4 0
3 years ago
A simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and
Brrunno [24]

Answer:

.b. It is one‐half as large as when n = 100.

Step-by-step explanation:

Given that a  simple random sample of 100 batteries is selected from a process that produces batteries with a mean lifetime of 32 hours and a standard deviation of 3 hours.

i.e. s = 0.3

we obtain se of sample by dividing std devitation by the square root of sample size

i.e. s= \frac{3}{\sqrt{n} }

when n =100 this = 0.3 and

when n =400 this equals 0.15

We find that when sample size is four times as large as original, std deviation becomes 1/2 of the original

Correction option is

.b. It is one‐half as large as when n = 100.

7 0
3 years ago
Square root of four
CaHeK987 [17]
The square root of 4 is 2 because 2•2 is 4
7 0
3 years ago
Read 2 more answers
Compute the measures of center for both the boys and girls data. Describe their differences. Use the terms mean and median to ju
polet [3.4K]

Answer:boys: median=50, mean=46

Girls: median= 33, mean=34

Step-by-step explanation:

Mean is the average. Median is the middle number. Both groups had 10 scores. Boys ranged from 15-81. Girls from 0-75; their mean & median would be less because their scores are less.

6 0
3 years ago
In ΔABC, c = 5.4, a = 3.3, and . What are the possible approximate lengths of b? Use the law of sines to find the answer. 2.0 un
Aloiza [94]

Correct answer is C) 2.3 units and 7.8 units

5 0
3 years ago
Other questions:
  • Find each sum simplify if possible
    13·2 answers
  • Haleys comet visits the inner solar system and is visible from earth roughly once 76 years Chinese astronomers recorded the earl
    13·1 answer
  • Solve for x. plz help
    12·2 answers
  • Rebecca was hungry so she decided to stop and get something to eat she bought a cheeseburger for $2.73, french fries for $1.58 a
    13·1 answer
  • You invested $11,000 in two accounts paying 3% and 7% annual interest, respectively. If the total interest earned for the year w
    7·2 answers
  • Ian wants to run 4 1/2 miles to get ready for his upcoming race. He has set up 3 markers the same distance apart to show how far
    11·1 answer
  • Is x = −8 a solution of the equation 3(x + 1) = 3x + 3?
    13·2 answers
  • BRAINLY GIVEN
    7·2 answers
  • In triangle DEF, if the measures of angles D and E are equal, and the measure of
    12·1 answer
  • Find the measure of a.<br><br> A. 20<br> B. 70<br> C. 80<br> D. 40
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!