Answer:
Yes, those are the first triangular numbers.
There is a relation between the number and its position but isn't direct.
Step-by-step explanation:
The triangular numbers can be represented by equilateral triangles, but also can be represented by:

where:
n, represents the position
T represent the triangular number.
As you may see, the equation of triangular numbers is not a straight line. It is a parable. For that reason there isn't a direct variation.
Answer:
Explained
Step-by-step explanation:
here std error =std deviation/(n)^1/2 =1.2875
for 90% CI; at 21 degree of freedom =1.7247
hence confidence interval =mean +/- t*std error =35.579 ; 40.021
b) this interval gives 90% probability to contain true mean of population of wash cycle time
c)that interval would be wider as value of t will be greater for larger interval
Answer: Casey bought 4 1/2 pounds of apples
The equation is 0.88x - $1.50 = 2.46
x is the unknown number of pounds of apples.
0.88 is the cost per pound, 0.88x is the total cost of the apples before the discount .The discount is $1.50 $2.46 is the cost after the discount.
Part b Step-by-step explanation:
0.88x - $1.50 = 2.46 . Add $1.50 to both sides
0.88x - $1.50 + $1.50 = 2.46 + 1.50
On left, 1.50-1.50=0 so "cancels' on the right, add $2.46 + 1.50 = 3.96
0.88x = 3.96 is the cost before discount . Divide both sides by .88
.88x/.88 = 3.96/.88 . .88/.88 = 1 so 1 'cancels' leaving x. 3.96/.88 = 4.5
x = 4.5
part c
4.5 is 4 1/2, the (previously unknown) number of pounds of apples.
Casey bought 4 1/2 pounds of apples.
Perimeter = 2(l+w)
56= 56/2 = 28
28 - 18 = 10 feets
10 feets = 120 inches
120 inches = 304.8 centimetres
Answer:
I wanted to help
Step-by-step explanation:
But I am not good in math. sorry