The rate defines how much the portion is of the base.
Answer:
180 feet
Step-by-step explanation:
The length of each curtain = 48 inches. Let the length of the curtain in feet be represented by x.
But,
1 inch = 12 feet
So that,
48 inches = x feet
⇒ x = 
= 4
Thus,
48 inches = 4 feet
The number of feet of fabric needed for 45 curtains can be determined as:
45 x 4 feet = 180 feet
Therefore, 180 feet of fabric would be needed to make 45 curtains.
Answer:
Step-by-step explanation:
We want to determine a 90% confidence interval for the mean amount of time that teens spend online each week.
Number of sample, n = 41
Mean, u = 43.1 hours
Standard deviation, s = 5.91 hours
For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean +/- z ×standard deviation/√n
It becomes
43.1 ± 1.645 × 5.91/√41
= 43.1 ± 1.645 × 0.923
= 43.1 ± 1.52
The lower end of the confidence interval is 43.1 - 1.52 =41.58
The upper end of the confidence interval is 43.1 + 1.52 =44.62
Therefore, with 90% confidence interval, the mean amount of time that teens spend online each week is between 41.58 and 44.62
Answer:
(a) The table of the ordered pairs is given as:
x-values 1 2 3 4 5 6
y-values 3 6 9 12 15 18
(b)
We find the equation from the table using the slope intercept form.
Let y=mx+c
on using the first column i.e x=1 and y=3 we have equation as:
3=m+c-------(1)
on using the second column i.e. x=2 and y=6
we have 6=2m+c---------(2)
on subtracting equation (1) from equation (2) we get:
m=3
and finally on putting value of m in equation (1) we get c=0
Hence, the equation of the line is y=3x.
This equation holds for all the points.
(c)
<em>x is the independent variable</em> and <em>y is the dependent variable </em>since it depends on the value of 'x'. it is thrice the value of x at each point.
When you have all three sides