<h2>As a decimal: 20.56667</h2><h2>As fractions:
OR
</h2>
Answer:
57
Step-by-step explanation:
-4x-y+4
plug in the numbers for the letters
-4(-14)-3+4
multiply -4(-14)= 56
56-3+4
subtract 3
53+4
add 4
57
Answer:
Step-by-step explanation:
Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.
15 inches by 11 inches
6 inches by 3 inches
18
6 inches by 2 inches
12
16 inches by 8 inches
10 inches by 5 inches
15 inches by 7.5 inches
10 inches by 6 inches
We are given the following data:
Sample Size = n = 1000
Sample Mean = u = 15 hours
Population Standard Deviation = s = 2 hours
Since we know the population standard deviation, we can use z distribution to find the confidence interval about the mean. z value for 95% confidence interval is 1.96.
Formula for the confidence interval is:
Using the values in the formula, we get:
Therefore, the 95% confidence interval about the population mean is 14.88 hours to 15.12 hours. So B option is the correct answer.
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
