Answer:
c. 6
Step-by-step explanation:
Given
See attachment for graph
Required
Average rate of change
This is calculated as:
Where
So, we have:
Using the attached graph, we have:
So, we have:
Let A = {1, 2, 8} and B = {2, 7}.
P ( A ∪ B ) = {1, 2, 7, 8}
= 4/10
= 0.4
Answer: 0.4
Answer:
a.) one sample t test
b.) H0 : μ = 59.3
c.) H1 : μ > 59.3
d.) μ = 59.3 ; σ = 39.84
e.) xbar = 79.4 ; s = 61.36
Test statistic = 3.16
Step-by-step explanation:
Given the sample data:
49.00 49.00 49.00 49.00 49.00 63.00 63.00 63.00 63.00 63.00 199.00 199.00 199.00 199.00 199.00 38.00 38.00 38.00 38.00 38.00 48.00 48.00 48.00 48.00 48.00 49.00 63.00 199.00 38.00 48.00
Sample size, n = 30
Using calculator :
xbar from the data above = 79.4
Standard deviation = 61.359
H0 : μ = 59.3
H1 : μ > 59.3
Test statistic :
(Xbar - μ) ÷ (σ/sqrt(n)
σ = 34.83
(79.4 - 59.3) ÷ (34.83/sqrt(30))
20.1 ÷ 6.359
Test statistic = 3.16
Answer:
Step-by-step explanation:
we know,
The Angle Addition Postulate states that: If a point lies in the interior of an angle, then the postulate describes that putting two angles side by side with their vertices together creates a new angle whose measure equals the sum of the measures of the two original angles.
Here, W is the internal point.
The two angles are UVW and WVX.
Now, by the angle addition postulate,
UVX is equal to the sum of UVW and WVX.
Hence, the reason is-
Angle Addition Postulate