Answer:
C) x ÷ 11/12
Step-by-step explanation:
If you divide the total length of string by the length of each piece, you get the number of strings.
total length of string: x
length of each piece: 11/2
We need to divide x by 11/12
Answer: C) x ÷ 11/12
Answer:
Yes, the table shows a proportional relationship
The value of y when x is 11 is 1331
Step-by-step explanation:
Let us check the relation between x and y in the table
∵ x = 4 and y = 64
∵ 64 = 4³
∴ y = x³
∵ x = 5 and y = 125
∵ 125 = 5³
∴ y = x³
∵ x = 6 and y = 216
∵ 216 = 6³
∴ y = x³
∵ x = 10 and y = 1000
∵ 1000 = 10³
∴ y = x³
∵ All the values on the table give the same relation
∴ x and y are proportion
∴ The table shows a proportional relationship
∵ y = x³
∵ x = 11
∴ y = (11)³
∴ y = 1331
∴ The value of y when x is 11 is 1331
$5 per hour is the constant rate because 10/2 is 5, 20/4 is 5 etc.
Answer:
Binomial distribution,
n = 36 independent events,
p = 0.5 probability of success and of failure, as 1-p = p.
Mean of binomial distribution is np=18.
Variance is np(1-p)=9
Standard deviation is sqrt(variance)=3.
