In 1)
Line 1 has following coordinates.
(0,0) ; (1,-2) ; (2,-4)
Line 2 has following coordinates.
(0,0) ; (1,0.5) ; (2,1)
Line 3 has following coordinates.
(0,1) ; (1,1.5) ; (2,2)
If you'll draw the lines, you'll observe that Line 1 is perpendicular to Line 2 and Line 3 and Line 2 and Line 3 are parallel to each other.
So,
Option D will be correct.
Answer:
Step-by-step explanation:
If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable.
Given that y varies directly with x, if we introduce a constant of proportionality, k, the expression becomes
y = kx
If y = 8 when x = 3, then
8 = 3k
k = 3/8
Therefore, the direct variation equation that relates x and y is
y = 3x/8
When x = 12, then
y = 3 × 12/8
y = 4.5
Answer:
3.33 ounces in each bowl
Step-by-step explanation:
7.49 + 6.26 = 13.75
subtract 0.43 and that equals 13.32
13.32 ÷ 4 = 3.33
I hope this helped :/
Answer:
{-5,-4,2,4}
Step-by-step explanation:
the domain is which x-values are included so use each of the x-values for each pair. Make sure if there are reapeats that you only write them once.
Answer:
The confidence interval is 
Step-by-step explanation:
From the question we are told that
The sample mean is 
The standard deviation is 
The sample size is 
given that the confidence level is 85% then the level of significance is mathematically represented as

Next we obtain the critical value of
from the normal distribution table the value is

Generally the margin of error is mathematically represented as

=> 
=> 
The 85% confidence interval is mathematically represented as

=> 
=> 