Answer
given,
mean = 12 Kg
standard deviation = 0.5 Kg
assume the observed statistic is = 11.1
now, 
assuming the number of sample = 4
n = 4
Hypothesis test:
H₀ : μ≥ 12
Ha : μ < 12
now,
significant level α = 0.05
z* = -3.60
Test statistics, Z* = -3.60
P-value
P(Z<-3.60) = 0.002 (from z- table)
P- value = 0.002
now,
reject the value of H₀ when P-value < α
0.002 < 0.05
since, it is less P-value < α , we have to reject the null hypothesis
Answer:
c. In 2 seconds, the commuter train travels 120 feet.
Step-by-step explanation:
Given
The attached graph
Required
What does x-coordinate of 2 represents
Represent this coordinate with (x,y)
From the graph:
when 
Note that:
x = time and y = distance
So:
Which means:
At 2 seconds, the train has travelled a distance of 120ft
<em>From the list of options, (c) is correct</em>
4p^2 + 4p - 5
As the expression cannot be factored in it's current form, we need to check if splitting the middle term is possible.
<em><u>List factors of -20.</u></em>
-5 * 4
5 * -4
-10 * 2
10 * -2
-20 * 1
20 * -1
<u>None of the factors added together result in positive 4.</u>
Because splitting the middle term is not possible, and we cannot simplify this expression any further:
This expression cannot be fully factored.
Answer:
=x+2
Step-by-step explanation:
Answer:
(x - 2)^2 + (y - 2)^2 = 3
Step-by-step explanation:
The centre point of the circle is the value for x and y
And the radius is the distance from the centre to the circumference.
