Answer:
The constant of proportionality for the group of boxes is: 25
Step-by-step explanation:
Proportion means that change in one quantity causes change in other quantity. Direct variation means that increase in one quantity causes increase in the other quantity.
Let l be the length and v be the volume
Then according to given statement
V∝l
Removing the proportionality symbol introduces a constant in the equation
Putting V = 325 and l = 13
Hence,
The constant of proportionality for the group of boxes is: 25
Answer:
1655
Step-by-step explanation:
Note the common difference d between consecutive terms of the sequence
d = - 1 - (- 4) = 2 - (- 1) = 5 - 2 = 8 - 5 = 3
This indicates the sequence is arithmetic with sum to n terms
= 
[ 2a₁ + (n - 1)d ]
Here a₁ = - 4, d = 3 and n = 90, thus
= 
[ (2 × - 4) + (89 × 3) ] = 45(- 8 + 267) = 45 × 259 = 1655
Answer:
y - 1 = 2/3(x - 1).
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
y = 2/3x + 1/3 which gives the slope m = 2/3.
We can now find a point on the line by putting x = 1 say then find y:
y = 2/3(1) + 1/3 = 2/3 + 1/3 = 1 so the point is (1, 1).
(x1, y1) = (1, 1)
So the answer is ;
y - 1 = 2/3(x - 1).
Answer:
$185 per person
Step-by-step explanation:
22,200/120=185
The prime numbers on the dice are 1,2,3,5 and 7 , the theoretical probability is
, which is 62.5%, the number of prime numbers in the outcome is 15, so the experimental probability is
, which is 75%, the difference between the experimental probability and the <span>theoretical probability is 12.5%.</span>
