Answer:
a) The mean of the probability distribution = 0.6
b) The variance of the probability distribution = 0.3
c) The standard deviation of the probability distribution = 0.5
Step-by-step explanation:
a) Data and Calculations:
number of dogs per household in a small town
Dogs Probability Expected Mean Diff Mean Diff.
Value Squared
0 0.650 0 -0.569 0.32376
1 0.216 0.216 -0.353 0.12461
2 0.087 0.174 -0.395 0.15603
3 0.026 0.078 -0.491 0.24108
4 0.014 0.056 -0.513 0.26317
5 0.009 0.045 -0.524 0.27458
The mean = 0.569 (Sum of expected value)
Variance = mean of squared differences = 0.27665 (1.38323/5)
Standard deviation = square root of variance = 0.526 = 0.5
The answer is 3(2x-5) (x+12)
The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.
<u>Step-by-step explanation</u>:
ABCD is a quadrilateral with their opposite sides are congruent (equal).
The both pairs of opposite sides are given as AB = 3 + x
, DC = 4x
, AD = y + 1
, BC = 2y.
- AB and DC are opposite sides and have same measure of length.
- AD and BC are opposite sides and have same measure of length.
<u>To find the length of AB and DC :</u>
AB = DC
3 + x = 4x
Keep x terms on one side and constant on other side.
3 = 4x - x
3 = 3x
x = 1
Substiute x=1 in AB and DC,
AB = 3+1 = 4
DC = 4(1) = 4
<u>To find the length of AD and BC :</u>
AD = BC
y + 1 = 2y
Keep y terms on one side and constant on other side.
2y-y = 1
y = 1
Substiute y=1 in AD and BC,
AD = 1+1 = 2
BC = 2(1) = 2
Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.
Answer:
see explanation
Step-by-step explanation:
Part 1
Obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (1, 80) and (x₂, y₂ ) = (2, 110) ← 2 points from the table
m = 
= 30
Given the point (0, 50 ) ⇒ c = 50
D(g) = 30g + 50 ← linear equation
A
D(6.5) = (30 × 6.5) + 50 = 195 + 50 = 245
B
D(4.25) = (30 × 4.25) + 50 = 127.5 + 50 = 177.5
C
D(50) = (30 × 50) + 50 = 1500 + 50 = 1550
Answer:
Acceptable Range (in grams) is between 0.048 grams and 0.052 grams
Step-by-step explanation:
So, it means that the actual weight can be 0.002 grams LESS THAN or even GREATER than the idea weight.
So
0.05 + 0.002 = 0.052
and
0.05 - 0.002 = 0.048
Thus, the acceptable range will be BETWEEN 0.048 grams and 0.052 grams
