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PolarNik [594]
2 years ago
12

Estimate a 15% tip on a dinner bill of $31.22 by first rounding the bill amount to the nearest ten dollars

Mathematics
2 answers:
Nutka1998 [239]2 years ago
6 0
If you do 31.00×15÷100=4.65 so tip should be 4.65
zheka24 [161]2 years ago
3 0

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{15\% of 31.22}}{\left( \cfrac{15}{100} \right)\stackrel{\textit{rounded up}}{30}}\implies 4.5

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What sampling method is used in the following examples. Is the method biased or not?
Romashka-Z-Leto [24]

Answers:

  • a) Stratified random sampling, or simply stratified sampling. Each group individually is known as a stratum. The plural is strata. The key here is that each stratum is sampled, though we don't pick everyone from every stratum. We randomly select from each unit to have them represent their unit. Think of it like house of representative members that go to congress. We have members from every state, but  Be sure not to mix this up with cluster sampling. Cluster sampling is where we break the population into groups or clusters, then we randomly select a few clusters in which every individual from those clusters is part of the sample.
  • b) Simple random sampling (SRS). This is exactly what it sounds like. We're randomly generating numbers to help determine who gets selected. Think of it like a lottery. A computer is useful to make sure this process is quick, efficient and unbiased as possible. Though numbers in a box or a hat work just as well.

For each of the methods mentioned, they aren't biased since they have randomness built into their processes.

7 0
3 years ago
What is the word form of 34/100
valkas [14]
34/100
= 0.34

3 tenths, 4 hundreths
3 0
3 years ago
Read 2 more answers
Two number cubes, each with faces numbered 1 to 6, will be tossed at the same time. What is the probability of tossing a sum of
Katen [24]
The probability of tossing a sum of 7:
6/36


the probability of tossing a sum greater than 7 :

not 100% sure
but I think it is 16/36


the probability of tossing a sum less than 13

36/36



good luck
7 0
2 years ago
Two similar triangles have areas of 18 and 32 find the ratio of their perimeters
tia_tia [17]
\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\

\bf \cfrac{smaller}{larger}\qquad \cfrac{s^2}{s^2}=\cfrac{18}{32}\implies \left( \cfrac{s}{s} \right)^2=\cfrac{18}{32}\implies \cfrac{s}{s}=\sqrt{\cfrac{18}{32}}
\\\\\\
\cfrac{s}{s}=\cfrac{\sqrt{18}}{\sqrt{32}}\implies \cfrac{s}{s}=\cfrac{\sqrt{9\cdot 2}}{\sqrt{16\cdot 2}}\implies \cfrac{s}{s}=\cfrac{\sqrt{3^2\cdot 2}}{\sqrt{4^2\cdot 2}}\implies \cfrac{s}{s}=\cfrac{3\sqrt{2}}{4\sqrt{2}}
\\\\\\
\cfrac{s}{s}=\cfrac{3}{2}
6 0
3 years ago
Mary had a number of cookies. after eating one, she gave half the remainer to her sister. after eating another cookie, she gave
Gemiola [76]
She originally started with 23. 

We can tell this by working the equation backwards. Since she has 5 left and she had just given half to her brother, we know she had 10 a moment ago. 

Before that, Mary had eaten a cookie. So we add 1 to the total and now have 11.

Before eating that cookie, she has given half to her sister, which would give her 22. 

And before giving half to her sister, she had eaten the first one, which would give us 23 to start with. 
8 0
3 years ago
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