Answer:
The number of students who scored more than 90 points is 750.
Step-by-step explanation:
Quartiles are statistical measures that the divide the data into four groups.
The first quartile (Q₁) indicates that 25% of the observation are less than or equal to Q₁.
The second quartile (Q₂) indicates that 50% of the observation are less than or equal to Q₂.
The third quartile (Q₃) indicates that 75% of the observation are less than or equal to Q₃.
It is provided that the first quartile is at 90 points.
That is, P (X ≤ 90) = 0.25.
The probability that a student scores more than 90 points is:
P (X > 90) = 1 - P (X ≤ 90)
= 1 - 0.25
= 0.75
The number of students who scored more than 90 points is: 1000 × 0.75 = 750.
Answer:
Step-by-step explanation:
Three days + 6 hours has 24*3 + 6 = 78 hours
You need only set up a proportion
5850 / 78 = x / 24 Multiply by 24
24 * 5850 / 68 = x
1800 watt hours / day
Answer:
Adjacent
x = 14
Step-by-step explanation:
Find the diagram attached
Adjacent angles places side by side and can also be on the same straight line. Since 5x and x+96 are on the same straight line ans placed side by side, then the angles are adjacent.
The sum of angle on a straight line is 180 degrees, hence;
5x + x+ 96 = 180
6x = 180 - 96
6x = 84
x = 84/6
x =14
The value of x s 14
Ans: (c)
y = k/x^2
when y = 100, x = 1
100 = k/1^2
k = 100
when x = 2,
y = 100/2
= 50
(u/rachelmarrons already gave you the answer but here’s a step-by-step explanation in case you needed it haha)
The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.
Step-by-step explanation:
The given is,
Trash can has a height of 24.90 inches
Diameter of 15.50 inches
Step:1
Formula to calculate the volume of cylinder,
.............................(1)
Where, r - radius of cylinder
h - Height of cylinder
From given,
h - 24.90 inches
D - 15.50 inches
Diameter to radius conversion,


r = 7.75 inches
Equation (1) becomes,


(∵
)
= 4698.42
≅ 4698 cubic inches
Volume of trash can, V = 4698 cubic inches
Result:
The volume of cylinder shaped trash can is 4698 cubic inches, if the trash can has a height of 24.90 inches and a diameter of 15.50 inches.