Answer:
Statistic
Step-by-step explanation:
Generally, when we talk about statistic, we are talking about the characteristic of a sample. A statistic can be said to be a value which is calculated or computed from the values in a sample.
By applying mathematical functions in this case addition and division to the values present in the sample, we have what is now known as statistic.
Hello!
Step 1: Simplify both sides of the equation.<span><span><span>
1.5<span>(<span>x+4</span>)</span></span>−3</span>=<span>4.5<span>(<span>x−2</span>)</span></span></span><span><span><span><span><span><span>
(1.5)</span><span>(x)</span></span>+<span><span>(1.5)</span><span>(4)</span></span></span>+</span>−3</span>=<span><span><span>(4.5)</span><span>(x)</span></span>+<span><span>(4.5)</span><span>(<span>−2</span>)</span></span></span></span>(Distribute)<span><span><span><span><span>
1.5x</span>+6</span>+</span>−3</span>=<span><span><span>4.5x</span>+</span>−9</span></span><span><span><span>
(<span>1.5x</span>)</span>+<span>(<span>6+<span>−3</span></span>)</span></span>=<span><span>4.5x</span>−9</span></span>(Combine Like Terms)<span><span><span>
1.5x</span>+3</span>=<span><span>4.5x</span>−9</span></span><span><span><span>
</span></span></span>Step 2: Subtract 4.5x from both sides.<span><span><span><span>
1.5x</span>+3</span>−<span>4.5x</span></span>=<span><span><span>4.5x</span>−9</span>−<span>4.5x</span></span></span><span><span><span>
−<span>3x</span></span>+3</span>=<span>−9</span></span>
Step 3: Subtract 3 from both sides.<span><span><span><span>
−<span>3x</span></span>+3</span>−3</span>=<span><span>−9</span>−3</span></span><span><span>
−<span>3x</span></span>=<span>−12</span></span>
Step 4: Divide both sides by -3.<span><span><span>
−<span>3x</span></span><span>−3</span></span>=<span><span>−12</span><span>−3</span></span></span><span>
x=<span>4
Hope this helps! Cheerio, and have a lovely day!</span></span>
Answer:
B. The original purchase total must be at most to $44 before the discounts are applied.
Step-by-step explanation:
Solve the inequality by adding $10, then dividing by 0.8.
0.8x -$10 ≤ $25.20
0.8x ≤ $35.20 . . . . . . . . add $10
x ≤ $35.20/0.8 . . . . . . . divide by 0.8
x ≤ $44 . . . . . . . . . the before-discount purchase must be at most $44
Sum means addition so the equation is x+5=14
To get the answer, just do 14-5 and the answer is 9
Parameterize the lateral face

of the cylinder by

where

and

, and parameterize the disks

as


where

and

.
The integral along the surface of the cylinder (with outward/positive orientation) is then



