Answer:
2
Step-by-step explanation:
3(x+2)=12
Distribute:
3x+6=12
Subtract:
3x+6-6=12-6
3x=6
Divide:
x=2
Answer:
H0 : μd = 0
H1 : μd ≠ 0
Test statistic = 0.6687 ;
Pvalue = 0.7482 ;
Fail to reject H0.
Step-by-step explanation:
H0 : μd = 0
H1 : μd ≠ 0
Given the data:
Before: 15 26 66 115 62 64
After: 16 24 42 80 78 73
Difference = -1 2 24 35 -18 -9
Mean difference, d ; Σd / n
d = Σx / n = ((-1) + 2 + 24 + 35 + (-18) + (-9))
d = Σx / n = 33 / 6 = 5.5
Test statistic = (d / std / sqrt(n))
std = sample standard deviation = 20.146
Test statistic = 5.5 ÷ (20.146/sqrt(6))
Test statistic = 0.6687
The Pvalue :
P(Z < 0.6687) = 0.7482
At α = 0.05
Pvalue > α ; Hence we fail to reject H0
The data does not suggest a significant mean difference in the average number of accidents after information was added to road signs.
Step-by-step explanation:
Part A:
Let 
be the number of mittens and 
be the number of scarves. Then we have the inequalities:
<em>This says Nivyana and Ana cannot make more than 30 scarves</em>
<em>This says that</em> <em>Nivyana and Ana have to earn at least $1000.</em>
Part B:
The graph is attached.
Notice that the graphs of the inequalities are solid lines, this just means that the points on these lines included to the solutions of each inequality.
The darker shaded region and the solid lines bounding it, are the solutions to the inequalities because that's where the values common to both inequalities are found.
Part C:
From the graph we get two possible solutions:
15 scarves & 10 mittens
25 scarves & 5 mittens.
These two points lie on the solid lines that bound the darker shaded region<em> (I picked those points to stress that the lines bounding the dark region are also solutions.)</em>
Answer:
42 Blades
Step-by-step explanation:
So 6 blades on each windmill
6=1 Windmill
so 7 windmills
so do
7 times 6 = 42 Blades
I believe C is your answer.
I hope this helps!
