Answer:
x > 7/4
Step-by-step explanation:
3(x + 7) < 7(x + 2)
Expand brackets: 3x + 21 < 7x + 14
Subtract 14 from both sides: 3x +7 < 7x
Subtract 3x from both sides: 7 < 4x
Divide both sides by 4: 7/4 < x
Therefore x > 7/4
Answer:
The 95% confidence interval of the true mean.
(29.4261 ,36.9739)
Step-by-step explanation:
<u>Step :- (i)</u>
Given sample size 'n' =15
sample of the mean x⁻ = 33.2
The standard deviation of the sample 'S' = 8.3
<u>95% of confidence intervals</u>
<u></u><u></u>
<u>Step:-(ii)</u>
<u>The degrees of freedom γ=n-1 = 15-1=14</u>
The tabulated value t = 1.761 at 0.05 level of significance.
now substitute all possible values, we get
After calculation , we get
(33.2-3.7739 , 33.2+3.7739
(29.4261 ,36.9739)
<u>Conclusion</u>:-
the 95% confidence interval of the true mean.
(29.4261 ,36.9739)
<span>The correct answer is 11 ft.
Explanation:
The diagonals of a parallelogram bisect each other. This means that the portion marked x+4 is the same length as the portion marked 2x-7; this gives us the equation x+4=2x-7.
Subtract x from each side:
x+4-x=2x-7-x
4=x-7.
Add 7 to both sides:
4+7=x-7+7
11=x</span>
Answer:
1. multiplication property of equality
2. division property of equality
Step-by-step explanation:
1. multplied by -3/2
2. divided by -2/3
Answer:
B) 116°
Step-by-step explanation:
y=180-54-64=62
x=180-62-64=54
62+54=116