<span>2x + 5 = 27
subtract 5 to both sides
2x + 5 - 5 = 27 - 5
simplify
2x = 22
divide both sides by 2
2x/2 = 22/2
simplify
x = 11
answer is </span><span>11 (second choice)
</span>
hope that helps
Option A, because you split the (2x + 3) into 2x and 3.
Answer:
Cylinder
(with radius of 4 units and height of 4 units)
Step-by-step explanation:
First, determine the shape of the 2D figure.
Point B is above point A, and point C is above point D.
Point A and B, and points C and D are on the same horizontal line.
Points A and B both have an x-value of zero.
Points C and D both have an x-value of 4.
Therefore, the width of the shape is 4 units
Points A and D have an y-value of zero.
Points B and C have an y-values of 4.
Therefore, the height of the shape is 4 units.
Therefore, the shape of the 2d figure is a square with side length of 4 unit. (See first attached image).
If the square is rotated above the y-axis, it creates a cylinder with a radius of 4 units and a height of 4 units. (See second attached image).
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)
Answer:
c,d
Step-by-step explanation:
![ab^{-3x}=a(b^{-3})^x=a(\frac{1}{b^3} )^x=a[(\frac{1}{b} )^3]^x\\=a(\frac{1}{b} )^{3x}](https://tex.z-dn.net/?f=ab%5E%7B-3x%7D%3Da%28b%5E%7B-3%7D%29%5Ex%3Da%28%5Cfrac%7B1%7D%7Bb%5E3%7D%20%29%5Ex%3Da%5B%28%5Cfrac%7B1%7D%7Bb%7D%20%29%5E3%5D%5Ex%5C%5C%3Da%28%5Cfrac%7B1%7D%7Bb%7D%20%29%5E%7B3x%7D)