Answer:
B
Step-by-step explanation:
46 is where the box plot starts, therefore it is Q1.
The total mass was 149.5 grams.
Setting up an equation, we have that the sample size, 39.1, is 5 3/4 (5.75) grams less than 3/10 of the total mass; this gives us
39.1 = 3/10x - 5.75
Adding 5.75 to both sides, we have
44.85 = 3/10x
Multiplying both sides by 10,
448.5 = 3x
Dividing both sides by 3,
149.5 = x
Answer:
4 feet
Step-by-step explanation:
Since the whispering gallery is 15 feet high and 60 feet wide, it forms an ellipse with major axis along the width of the gallery and minor axis along the height of the gallery.
Using the equation of an ellipse with major axis along the x-axis, we have
x²/a² + y²/b² = 1 where a = midpoint of the width = 60/2 = 30 feet and b = 15 feet.
c² = a² - b² where c = focus of the ellipse.
So, c² = a² - b²
= 30² - 15²
= 900 - 225
= 675
c = ±√675 = ±25.98 feet
So, the coordinate of the focus is thus (0, ±c) = (0, ±25.98) and the coordinate of the vertex is (0, ±a) = (0, ±30)
So, the distance between the foci and the vertex is the distance from the wall at which each of them should be positioned at the foci.
So, d = a - c
= 30 ft - 25.98 ft
= 4.02 feet
≅ 4 feet
Jasmine's new salary is $25.30 an hour.
$25.30 * 30= $759 per week
The answer should be Letter H
