The approach is to first find the value of constant of proportionality 'k'.
As y varies directly with x²
So we have
y = k x².
Now when x = 6 , y = 72
Substituting the values we get
72 = k (6)²
72 = 36 k
Dividing by 36 on both sides
2 = k
So (1) becomes
y = 2 x²
Now we need to find y when x = 14
Substituting the values in (2) we get
y = 2 ×(14)²
y = 2 × 196
y = 392
Hence y = 392 when x = 14.
Answer: 0.42 and 5 outcomes.
Step-by-step explanation:
i guess that carlos has a fair coin and a number cube.
the probability can be calculated as the number of outcomes that we want divided the total number of outcomes.
The coin has two possible outcomes, heads and tails, then the probability of getting heads is p1 =1/2
the number cube has 6 numbers, 5 of those 6 numbers are greater than 1, then the probability of getting a number greater than 1 is p2 =5/6
the joint probability is the product of those two:
P = 1/2*5/6 = 5/12 = 0.42
The combinations that include heads and number greater than 1 are 5 combinations:
Heads and 2
Heads and 3
Heads and 4
Heads and 5
Heads and 6.
Answer:
2√42 ≈ 12.961
Step-by-step explanation:
All of the right triangles are similar, so ...
short leg/long leg = BC/AC = AC/CD
AC² = BC·CD = 7·24 = 168
AC = √168 = 2√42
Answer:
-11/15 is the greatest because ita in negative
