Answer: 37.5
Step-by-step explanation:
75 divided by 2
Step-by-step explanation:

This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a
The formula for the foci of the vertical ellipse is
(h,k+c) and (h,k-c).
where c is
Our center (h,k) is (2, -5)

Here a^2 is 9, b^2 is 4.



So our foci is

and

Answer:
95% Confidence interval: (96.06,103.94)
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 85
Sample mean,
= 100
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 11
95% Confidence interval:
Putting the values, we get,
(96.06,103.94) is the 95% confidence interval for the population mean test score.
<u>Metric: </u>
Distance: Centimeters (cm), Meters (m), Kilometers (km)
Weight: Milligrams (mg), Grams (g), Kilograms (kg)
Volume: Milliliters (mL), Liters (L)
<u>Customary: </u>
Distance: Inches (in), Feet (ft), Yards (yd), Miles (mi)
Weight: Ounces (oz), Pounds (lbs), Tons (T)
Volume: Cups (c), Pints (pt), Quarts (qt), Gallons (gal)
Answer:

Step-by-step explanation:
Reference angle = 30°
Opposite side = x
Adjacent side = 2
Apply the tan trigonometric function, thus:



(tan 30 = 1/√3)

Rationalize

