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algol13
2 years ago
5

Triangular numbers can be represented with equilateral triangles formed by dots. The first five triangular numbers are 1, 3, 6,

10, and 15. Is there a direct variation between a triangular number and its position in the sequence? Explain your reasoning
Mathematics
2 answers:
Alisiya [41]2 years ago
7 0
Direct variation is y = kx  where y  would be the value of the number and x would be its position in the sequence, k is a constant 

so for consecutive values y/x would be a constant k 
In this case its not true becuse for example  3/1 = 3 and 6/3 = 2 

so there is no direct variation here.
Lapatulllka [165]2 years ago
6 0

Answer:

No, there is NOT a direct variation.

Step-by-step explanation:

No, the triangular numbers are not a direct variation. There is not a constant of variation between a number and its position in the sequence. The ratios of the numbers to their positions are not equal. Also, the points (1, 1), (2, 3), (3, 6), and so on, do not lie on a line.

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A certain temperature measurement is performed 500 times. The mean value is 0 deg F and the standard deviation is 1 deg F. Assum
egoroff_w [7]

Answer:

477

Step-by-step explanation:

Given that:

Number of trials (n) = 500

Mean (m) = 0

Standard deviation (s) = 1

how many readings fall within +/- 2.000 deg F of the mean value

Mean of 0 and standard deviation of 1

P(-2 ≤ x ≤ 2)

Using the Z probability calculator :

P(x ≤ 2) = 0.97725 ;

P(x ≤ - 2) = 0.02275

Hence :

P(x ≤ 2) - P(x ≤ - 2) = 0.97725 - 0.02275 = 0.9545

Hence, number of readings in 500 trials:

0.9545 * 500 = 477.25

= 477 values

6 0
1 year ago
Round 565.948063818 to 1 decimal place.
Arada [10]

Answer:

565.95

Step-by-step explanation:

3 0
2 years ago
Elena bikes 20 minutes each day for exercise. Write an equation to describe the relationship between her distance in miles, D, a
nika2105 [10]

Answer:

<h2>D= 3.9 miles</h2>

Step-by-step explanation:

Given data

speed v= 13 miles per hour

time taken t= 20min to hour 0.3 hours

the distance D

We know that the relationship between speed, time, and distance

speed=distance/time

13=D/0.3

(the expression above describes the relationship between  distance, speed, and time)

making D subject of formula we have

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hence the distance is 3.9miles

6 0
2 years ago
ZE is the angle bisector of measure YEX and the perpendicular bisector of GF, GX is the angle bisector of measure YGZ and the pe
den301095 [7]

Answer:

C

Step-by-step explanation:

The center of inscribed circle into triangle is point of intersection of all interior angles of triangle.

The center of circumscribed circle over triabgle is point of intersection of perpendicular bisectors to the sides.

Circumscribed circle always passes through the vertices of the triangle.

Inscribed circle is always tangent to the triangle's sides.

In your case angles' bisectors and perpendicular bisectors intesect at one point, so point A is the center of inscribed circle and the center of corcumsribed circle. Thus, these circles pass through the points X, Y, Z and G, E, F, respectively.

7 0
2 years ago
A man bought 420 apples for Rs. 280 but 84 were rotten. Yet he earned 20%. Estimate how did he sell ?
Sav [38]
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280+56=336Rs.(total sale)

336/336=1 Rs (sold one for 1 Rs.)



4 0
2 years ago
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