Answer:
<u>The proportion of the scores that are on the right side of the line is 0.0668</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
µ of a normal distribution = 40
σ of a normal distribution = 10
X = 55
2. What proportion of the scores are on the right side of the line?
Let's calculate the z-score for X = 55, this way:
z-score = (X - µ)/σ
z-score = (55 - 40)/10
z-score = 1.5
Now, using the z-table, let's calculate the proportion, this way:
p (z = 1.5) = 0.9332
In consequence,
p (z > 1.5) = 1 - 0.9332 = 0.0668
Answer:
As the points are collinear, the slope of the line joining
any two points, should be same as the slope of the line joining two other
points.
Slope of the line passing through points (x
1
,y
1
) and (x
2
,y
2
) =
x
2
−x
1
y
2
−y
1
So, slope of the line joining (p,0),(0,q)= Slope of the line joining
(0,q) and (1,1)
0−p
q−0
=
1−0
1−q
−
p
q
=1−q
Dividing both sides by q,
−
p
1
=
q
1
−1
=>
p
1
+
q
1
=1
Answer:
1.72
Step-by-step explanation:
AB tangent at D, AD = OD = 4
so triangle OAD is right angle with side of 4 and 4.
area of OAD = 1/2 * 4 * 4 = 8
Angle AOD = DAO = 45 deg.
so circular sector OCD area = area of circle O * 45/360
= pi * 4 * 4 * 45/360
= 2pi
Shade area ACD = trigangle OAD - circular sector OCD
= 8 - 2pi
= 1.72
Answer:
x = 1/(a-b)
Step-by-step explanation:
The given equation is ax = bx + 1
Collecting like terms:
ax - bx = 1
Factorizing x out of the equation:
x(a - b) = 1
Dividing both sides by (a - b):
Therefore, x is related to the difference of a and be by the equation
x = 1/(a-b) where a - b is the difference of a and b
Answer: Choice A) Distributive property
We're multiplying the outer -3 with the inner x to get -3x
Also, multiply the outer -3 with the inner +4 to get -12
So that's why -3(x+4) = -3x-12
