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
dmitriy555 [2]
2 years ago
12

Which of the following is a list that follows this pattern with its numbers: prime, prime, prime, composite, prime, prime 1, 5,

7, 9, 11, 13 1, 2, 5, 7, 9, 15 2, 4, 6, 8, 10, 12 11, 9, 3, 2, 5, 4, 8
Mathematics
1 answer:
Pani-rosa [81]2 years ago
7 0

The correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.

<h3>What are prime and composite numbers?</h3>

Prime numbers:-

The prime number is defined as the number which is divided by 1 and itself.

Composite numbers:-

The number is defined as the composite number when the number is divided by 1 itself and any other numbers also.

From the given options we need to choose the pattern of the series { prime, prime, prime, composite, prime, prime } so we can see that in option A correct pattern is followed.

Pattern { 1, 5, 7, 9, 11, 13 }

1   → prime

5  → prime

7  → prime

9  → composite

11  → prime

13 → prime

Therefore the correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.

To know more about prime and composite numbers follow

brainly.com/question/375267

#SPJ1

You might be interested in
Which triangle drfined by the given points on the coordinate plane is similar to the triangle illustrated? ​
Harrizon [31]

Answer:D.) (-1, 1), (-1, 5), (-7, 1)

Step-by-step explanation:The length of the horizontal segment of the triangle graphed is 3.  The length of the vertical segment of the triangle graphed is 2.  Using the Pythagorean theorem, this makes the length of the missing side

2²+3²=c²

4+9 = c²

13=c²

√13 = c

This makes our side lengths 2, 3, and √13.

For choice A our vertices are (-1, 1), (-1, 4), (-6, 1).

This makes the length of the horizontal segment 5 and the length of the vertical segment 3.  This makes the missing side length

5²+3²=c²

25+9=c²

34=c²

√34 = c

This is not proportional to the triangle drawn, so it is not similar.

The vertices of the triangle in option B are (-1, 1), (-1, 5), and (-6, 1).  This makes the horizontal segment 5 units long and the vertical segment 4 units long.  This makes the missing side length

4²+5²=c²

16+25=c²

41=c²

√41=c

These are not proportional to the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice C are (-1, 1), (-1, 4) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 3.  This makes the missing side length

3²+6²=c²

9+36=c²

45=c²

√45=c

3√5=c

These sides are not proportional to the sides of the triangle drawn, so the triangles are not similar.

The vertices of the triangle in choice D are (-1, 1), (-1, 5) and (-7, 1).  This makes the length of the horizontal segment 6 and the length of the vertical segment 4.  This makes the missing side length

6²+4²=c²

36+16=c²

52=c²

√52=c²

2√13=c

These sides are all twice as long as the sides of the triangle drawn; this means the triangles are similar.

4 0
3 years ago
Benny bought nine new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There ar
hjlf

9+x

divided by

2

-

35

x=61

3 0
2 years ago
Read 2 more answers
a seed company has a test plot in which it is testing the germination of a hybrid seed, They plant 50 rows of 40 seeds per row.
ziro4ka [17]

Answer:

Mean =\sum x P(x) = 36.86

Standard deviation =\sum x^2P(X)=1360.9

Step-by-step explanation:

x          P(x) x \times P(x)       x^2 \times  P(x)

33         0.02     0.66          21.78

34          0.06     2.04         69.36

35           0.1      3.5        122.5

36           0.2      7.2         259.2

37           0.24     8.88        328.56

38           0.26     9.88        375.44

39            0.1     3.9         152.1

40            0.02     0.8         32

             1        36.86      1360.9

We are supposed to find mean and standard deviation

Mean =\sum x P(x) = 36.86

Standard deviation =\sum x^2P(X)=1360.9

7 0
3 years ago
Solve the system of equations
ira [324]

Answer:

  B) x = 2, y = 1

Step-by-step explanation:

Add the two equations to eliminate the x-variable.

  (x +3y) +(-x +6y) = (5) +(4)

  9y = 9 . . . . . . .simplify

  y = 1 . . . . . . . . divide by 9

You can substitute this value into either equation to find x.

  x + 3(1) = 5

  x = 2 . . . . . . . . subtract 3

The solution is (x, y) = (2, 1).

7 0
3 years ago
Read 2 more answers
In exercises 8-10, write a system of linear equations that has the ordered pair as its solution. (-6, -2)
Anika [276]

Answer:

(8) x + y = -8 and 2x - y = -10

(9) 3x - y = -54 and 4x + y = -30

(10) x + y = 2 and x - y = 2

Step-by-step explanation:

Given [Missing from the question]

(8).\ (-6,-2)\ \\ (9).\ (-12,18)\ \\ (10).\ (2,0)

Required

Write a system of linear equations

The solutions to this question is open and have different solutions

Solving (8) (-6,-2)

Let the equations be: x + y and 2x - y

x + y = -6 - 2

x + y = -8 --- (1)

2x - y = 2 * (-6) - (-2)

2x - y = -10 -- (2)

So, the equations are:

x + y = -8 and 2x - y = -10

Solving (9) (-12, 18)

Let the equations be: 3x - y and 4x + y

3x - y = 3 *(-12) - 18

3x - y = -54

4x + y = 4 * (-12) + 18

4x + y = -30

So, the equations are:

3x - y = -54 and 4x + y = -30

Solving (9): (2,0)

Let the equations be: x + y and x - y

x + y = 2 + 0

x + y = 2

x - y = 2 - 0

x - y = 2

So, the equations are:

x + y = 2 and x - y = 2

5 0
2 years ago
Other questions:
  • How do I work out "The beam from a lighthouse reaches a distance of 8 kilometers and spreads to an angle of 35 degrees. Calculat
    11·1 answer
  • It takes 45 minutes or 45 over 60 of an hour to cook a chicken? How many fourths of an hour is that?
    13·1 answer
  • If -3 1/4 is subtracted from 1 1/3. What will be the result?
    11·1 answer
  • The equation of the graphed line is..... x+......y=4 ANSWER FAST PLZZXZZ FILL IN THE BLANKS (DOTED LINE)
    8·1 answer
  • A scale drawing has a scale of 1 in: 10 ft. What is the distance on the drawing for an actual distance of 45 ft
    9·1 answer
  • What is the equation in point-slope form of the line passing through (1, 9) and (−1, 11)?
    14·1 answer
  • You earn $42 for babysitting for 6 hours. How much money did you earn per hour
    9·1 answer
  • Solve the system by substitution
    15·1 answer
  • Help me please I don’t understand this and it is due tonight
    9·1 answer
  • If x/5 + 6 = -14, then x =
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!