Answer:
Yes, It is a right triangle for the given vertices.
Step-by-step explanation:
Given:
Q(7, –10),
R(–3, 0),
S(9, –8)
To Find:
determine whether is a rig ht triangle for the given vertices = ?
Solution:
QR=
QR=
QR=
QR=
--------------------------(1)
QR=14.142136
RS=
RS=
RS=
RS=
---------------------------(2)
RS=14.422205
QS=
QS=
QS=
QS=
-------------------------------------(3)
QS=2.828427
According to Pythagorean Theorem,

Substituting the values,


208 = 208
Pythagorean theorem is satisfied. Hence it is a right triangle.
3/8 is 0.375, which is bigger than 0.3, so 3/8 is larger.
Answer:
6.68% of the female college-bound high school seniors had scores above 575.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 500
Standard Deviation, σ = 50
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Formula:
P(scores above 575)
P(x > 575)
Calculation the value from standard normal z table, we have,
6.68% of the female college-bound high school seniors had scores above 575.
Answer:
2.5, √5, 5/3, √9/4
Step-by-step explanation:
√5 = 2.236
5/3 = 1.667
√9/4 = 0.75