Mitchell because if you add a zero at the end of the .8 it would be 0.80 and 0.75 is smaller than 0.80 so Mitchell has more work to do at home
Answer:
d. (0.737, 0.823)
The 90% confidence interval is = (0.737, 0.823)
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
p+/-z√(p(1-p)/n)
Given that;
Proportion p = 195/250 = 0.78
Number of samples n = 250
Confidence interval = 90%
z value(at 90% confidence) = 1.645
Substituting the values we have;
0.78 +/- 1.645√(0.78(1-0.78)/250)
0.78 +/- 1.645√(0.0006864)
0.78 +/- 1.645(0.026199236630)
0.78 +/- 0.043097744256
0.78 +/- 0.043
(0.737, 0.823)
The 90% confidence interval is = (0.737, 0.823)
Step-by-step explanation:
The second graph is the right one
$1.15 per 1 cup of orange juice
Step-by-step explanation:
find unit cost: cost ÷ quantity
4.60 ÷ 4= 1.15
<span>Since the major axis is 80 yards long, the distance from the center to a vertex on the major axis, which is the "a" in the equation, would be 40 yards. With similar logic we can find that the distance from the center to a vertex on the minor axis, "b" in the equation, would be 36 yards.
</span><span>With the center, a and b we are just about ready to write the equation. The standard forms for equations of ellipses are:
(x-h)^2 / a^2 + (y-k)^2 / b^2 = 1 for ellipses with horizontal major axes and
</span>x-h)^2 / b^2 + (y-k)^2 / a^2 = 1 for ellipses with vertical major axes
<span>Since the major axis is the x-axis, which is horizontal, we will use the first form. Using the values we found for a and b and the x-coordinate of the center as "h" and the y-coordinate of the center as "k" we get:
(x-0)^2 / (40)^2 + (y-0)^2 / (36)^2 = 1
which simplifies to:
x^2 / 1600 + y^2 / 1296 = 1</span>