Answer:
An equation modeling the situation is : 4 m + 6 n = 180
Step-by-step explanation:
Here, the total number of guests in the banquet hall = 180
Let us assume number of tables ordered with capacity of
4 people each = m
And number of tables ordered with capacity of 6 people each = n
So, total number of people in m tables = m x ( Capacity of 1 table)
= m x (4) = 4 m
And, total number of people in n tables = n x ( Capacity of 1 table)
= n x (6) = 6 n
So, the total capacity of ( m + n) tables = 4 m + 6 n
Also, the total required capacity = 180
⇒ 4 m + 6 n = 180
Hence, an equation modeling the situation is : 4 m + 6 n = 180
Answer:
B.3/2
Step-by-step explanation:
No, it is not a proportional relationship because the graph does not go through the origin. A proportional relationship is supposed to be a straight line, starting from the origin. It starts on the number 4.
Given:
μ = 70, the mean
σ = 10, the standard deviation
The random variable is x = 65.
Calculate the z-score.
z = (x - μ)/σ = (65 -70)/10 = - 0.5
From standard ables, obtain
P(x<5) = 0.3085 ≈ 30%
The score of 65 is in the 30th percentile.
Answer: 30th
Answer:
centre = (
, 1 )
Step-by-step explanation:
using the midpoint formula
midpoint = [
(- 1 + 4),
(5 - 3) ] = (
, 1 )