does y vary directly with x? if it does write an equation for the direct variation.

Using the probability concept, it is found that there is a [tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.

A probability is the number of desired outcomes divided by the number of total outcomes.

Combination formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Total outcomes:

3 segments from a set of 6 lengths, hence:

[tex]C_{6,3} = \frac{6!}{3!3!} = 20[/tex]

Desired outcomes:

Then:

[tex]p = \frac{D}{T} = \frac{7}{20}[/tex]

[tex]\frac{7}{20}[/tex] probability that the three segments chosen could form a triangle.

To learn more about the probability concept, you can take a look at https://brainly.com/question/24437717

Answer:

100000+)9(87)238388292838

Answer:

Step-by-step explanation:

Answer:

His mother baked 7 more cookies

Answer:

The least common multiple of 12a^4b^2c^5 and 40a^3b^7c^1, is 1

Step-by-step explanation:

Answer:15% , 0.15 , 6/40 or 3/20

Step-by-step explanation:

The percent is 15% and 15 hundredths is 0.15 and the fraction is just 6/40.

Answer:

3/20, 0.15, 15%

Step-by-step explanation:

Fraction:

6/40 un-simplified

3/20 simplified

Decimal:

0.15

Percentage:

15%

Answer:

x=0 is the smallest integer

Step-by-step explanation:

Answer:

4, 6, 9, 12, 15, 18, 21, 24.

Step-by-step explanation:

The 8th term is 24.

just +2 (add 2) every time.

Answer:

c 5.34

Step-by-step explanation:

Answer:

34,000 ÷ 1000 =340

Step-by-step explanation:

Answer:

100, If you decide 34000 by 340 you can easily see it needs to be devided by 100 to get the answer

Answer:

  11 million

Step-by-step explanation:

20 -12 +3 = 11

There will be 11 million shares of stock in the treasury.

Step-by-step explanation:

this is clearly not a linear sequence (the terms don't have the same difference).

so, it has to be a geometric sequence.

the common ratio is r.

s2 = s1 × r

16 = 64 × r

r = 16/64 = 1/4

control :

s3 = s2×r

4 = 16 × 1/4 = 4

correct.

Common ratio is 1/4

A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) to the preceding term. It is represented by:

a, ar, ar2, ar3, ar4, and so on.

Where a is the first term and r is the common ratio.

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 1/4

gives the next term. In other words, [tex]a_n=a_1r^n^-^1[/tex]

Hence, common ratio r = 1/4

To learn more about the geometric progression here:

https://brainly.com/question/29657988

#SPJ7

Answer:

63 feet

Step-by-step explanation:

perimeter is the sum of all four sides and, since it's a square then all sides are equal

to find how long each side is divide 252 by 4

252÷4 = 63

Answer:

It seems like you want to solve the question, so I'll not include the answer

Square has 4 sides and each sides are identical length so.

And Perimeter is just the total length of the sides of the shape. So...

Mathematically

Perimeter of square = 4s

where s is length of one side of square

Answer:

8(w+4)=5

Step-by-step explanation:

Answer:

30 because if u divided 120 by 4 its 30 and the parents get 1/4 so its 3....... 30/120

Answer:

Um.... Wouldn't angle 1 just be 180-17 which is 163. Angle 3 would be equal to angle 1 so also 163. Angle 4 and angle 2 are equal to 17.

Step-by-step explanation:

Answer:

angle1 = 163°

angle2 = given in diagram

angle 3 = alternating angle 1, so 163°

angle 4 = alternating angle 2, so 17°

Step-by-step explanation:

noticing that the two lines intercept each other at the centre, making angles going around that interception point add up to 360° (you can use this information to check the answers).

an angle on a straight line is always 180°, so given that angle2 is 17°, you can already do 180 - 17 to get an easy answer to angle 1 and 3.

===================================================

Explanation:

Highlight the rows that correspond to 6 months and 10 months.

This leads to the two points (6,330) and (10,460).

Apply the slope formula. This is because the slope is the average rate of change.

m = (y2-y1)/(x2-x1)

m = (460-330)/(10-6)

m = 130/4

m = 32.5

This is the average rate of change from month 6 to month 10.

Let A = 32.5 so we can compare it later.

---------------------------

Now let's focus on months 4 and 8

We get the two points (4, 300) and (8, 410)

Use the slope formula again

m = (y2-y1)/(x2-x1)

m = (410-300)/(8-4)

m = 110/4

m = 27.5

Let B = 27.5

--------------------------

For the third answer choice, we have the points (2,240) and (8,410)

Once again, use the slope formula.

m = (y2-y1)/(x2-x1)

m = (410-240)/(8-2)

m = 170/6

m = 28.33 approximately

Let C = 28.33

--------------------------

Lastly for choice D we have the points (4,300) and (10,460)

So,

m = (y2-y1)/(x2-x1)

m = (460-300)/(10-4)

m = 160/6

m = 26.67 approximately

Let D = 26.67

--------------------------

To recap everything, we found these four average rates of change for choices A through D

We see that A is the largest of that group. Therefore, the greatest average rate of change of that group is from month 6 to month 10. This is why choice A is the final answer.

Answer:

5+7=12-35=-23

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Answer:

x-variable

Step-by-step explanation:

When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable. We can eliminate the x-variable by addition of the two equations.

Answer:

1. Y is the variable terminated.

2. X = 1

3. Y = -1

4. (1,0) and (0,-1)

Step-by-step explanation:

After eliminating our Y variable we can solve for X. Our equation for X is 10x=10. After dividing both sides by 10 we get that X=1.

From there we can plug 1 of our previous equations. When we plug 1 in we get that both equations have an equal Y value of -1.

Our solution would be (1,0) and (0,-1)

Answer:

5.15

Step-by-step explanation:

Answer:

5.15

Step-by-step explanation:

5.4 = 5.40

 5.40

- 0.25

= 5.15

because 0.40 - 0.25 = 0.15

Answer:

C 1/-3

Step-by-step explanation:

To find the slope I found two-point of the graph that were easy to point out and used rise over run to determine the slope!

In this case, rise was one because it went from -1 to 0 and run was -3 because it went from 0 to -3

Hope this helps!!

Please tell me if I have messed up!!

I enjoy learning form my mistakes:)

*Also if I am correct could you please mark me brainliest? I am trying to level up!!

Answer:

lol wat r u doing .........

Answer:

100°

Step-by-step explanation:

Answer:

∡5=100°

Step-by-step explanation:

∡5 is perpendicular to the 100° above, therefore your answer is ∡5=100°.

Brainliest would be appreciated! :-)

Answer:

The total cost of the motorcycle was $5,565.

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

Answer:

50%

Step-by-step explanation: