Answer:
I need this answer as well
Step-by-step explanation:
Answer:
12.1244 or
Step-by-step explanation:
Use the Pythagorean Theorem and solve for b^2:
7^2+b^2= 14^2
Simplify:
49+b^2= 196
Subtract 49 from both sides:
49-49+b^2= 196-49
Simplifly:
b^2= 147
Unsquare both sides:
Graph the given points (2, 8) and (-3, 1) to visualize the rectangle as described in the question.
By looking at the picture we can easily count the length and width of the rectangle.
Length = BC = 7
Width = AB = 5
Now we have to find difference between both which is 5-7=-2.
Hence D) -2 units is the correct answer.
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.