---------------------------------------------------------------------------------
Define Length and Width
---------------------------------------------------------------------------------
Let the width be x
Width = x
Length = 2x + 5
---------------------------------------------------------------------------------
Form equation and solve for x
---------------------------------------------------------------------------------
x(2x + 5) = 63
2x² + 5x = 63
2x² + 5x - 63 = 0
<span>(x+7)(2x-9) = 0
</span>x = -7 (rejected, length cannot be negative) or 2x - 9 = 0
2x - 9 = 0
2x = 9
x = 9 ÷ 2
x = 4.5 ft
---------------------------------------------------------------------------------
Find Length and Width
---------------------------------------------------------------------------------
Width = x = 4.5 ft
Length = 2x + 5 = 2(4.5) + 5 = 14 ft
---------------------------------------------------------------------------------
Answer: Width = 4.5 ft , Length = 14 ft
---------------------------------------------------------------------------------
7B + 4 = 7B - 3
We need to solve for B
Let's add 3 in both sides:
7B + 4 = 7B - 3
7B + 4 + 3 = 7B - 3 + 3
7B + 7 = 7B
Let's subtract 7B from both sides:
7B + 7 = 7B
7B - 7B + 7 = 7B - 7B
7 = 0
7 = 0, which is impossible. 7 can never be 0, and 0 can never be 7.
So the equation have no solution.
Answer:
161 + 162 + 163 = 486
Step-by-step explanation:
(X) + (X + 1) + (X + 2) = 486
X + X + 1 + X + 2 = 486
3X + 3 = 486
3X + 3 - 3 = 486 - 3
3X = 483
3X/3 = 483/3
X = 161
Answer:
1,184 sq cm
Step-by-step explanation:
Surface area= 2 (1/2 x 8 x 12 + 34 x 10) + 34 x 12
= 1,184 sq cm
Hope this helps!
Answer: 1. Survivorship bias
2a. Self-selection bias
2b. Undercoverage bias
3. Voluntary response bias
4. Response bias
Step-by-step explanation:
Sampling bias occurs when a representative of a population was chosen in such a way that aspects of the population had a lower probability of being sampled. For the given scenarios;
1. A political poll is conducted by contacting people on landline phones. The pollsters did not keep track of how many people they contacted who did not respond. : This is Survivorship bias. It occurs when the polled results which are recorded at the end, are not a random set of those present at the start of the polls. Polls who fell out of view are ignored.
2. A political poll is administered by contacting people on landline phones. The pollsters contacted 20,000 households and 4747 agreed to speak with the callers. : It is both Self - selection bias and Undercoverage bias. Self - selection bias occurs when a small sample that is not representative of the entire population voluntarily participates in a survey. Their opinion might not represent those of the entire population. It is also Undercoverage bias because just a few segments of the entire population were surveyed.
3. A political poll is conducted by setting up a booth at a local shopping mall and inviting passersby to share their opinions. : It is a Voluntary Response bias because the volunteers are self - selected. The passersby could decide or decide not to participate.
4. A political poll asks the question, ' If you found out that candidate A was given a large sum of money by special interest group B, would that change your opinion of how hypocritical candidate A is?': It is
a Response bias because the question is worded in such a way as to solicit some sort of biased response.