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:
1
Step-by-step explanation:
Let us consider the case of 3 numbers: x, y, and z.
Then x/x+y+z + y/x+y+z + z/x+y+z = x+y+z/x+y+z = 1
The same works also for any quantity of numbers.
time * rate = distance
Downstream 4 * x = 4(x)
Upstream 6 * x - 2 = 6(x - 2)
distance downstream = distance upstream:
4(x) = 6(x - 2)
4x = 6x - 12
-2x = -12
x = 6
Distance Upstream: 4x = 4(6) = 24
Distance Upstream: 6(x - 2) = 6(6 - 2) = 6(4) = 24
Total distance traveled is Upstream + Downstream = 24 + 24 = 48
Answer: 48 miles
Answer:
x = 1.2
y = 6.6
Step-by-step explanation:
1) y= -2x+9
2) 8x-3=y
Substitute y in equation 1 using y in equation 2.
8x - 3 = -2x + 9
+ 3 on both sides
8x = -2x + 12
+ 2x on both sides
10x = 12
x = 1.2
To find y, plug in x
8x - 3 = y
9.6 - 3 = y
6.6 = y
Hope this helps :)
(128 oz) * (2 oranges)/(5 oz) * (1 bag)/(11.5 oranges) * $3.49/bag ≈ $15.54
Note that we have assumed 11.5 oranges per bag, and that partial bags are available.
If Chantal must buy whole bags of oranges, 5 bags will be needed and the cost will be $17.45.
