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Andrei [34K]
3 years ago
12

The manager of an art gallery wants to bring in a new exhibit that will appeal to her customers. Which surveying method is most

likely to produce a representative sample of the gallery's customers?
A) Surveying every 4th customer who is over the age of 50
B) Surveying everyone who enters the gallery alone
C) Surveying every 4th customer to leave the gallery
D) Surveying every other female customer
Mathematics
1 answer:
amid [387]3 years ago
4 0

Answer:

C

Step-by-step explanation:

A doesn't make sense, because there are probably many people younger than 50.

Not B because that would be hard since there are probably not many people coming to the gallery by themselves.

Lastly,

Not D because that isn't very fair because since the women probably have different views than the men.

B makes the most sense because it does not rule anyone out and it lets everyone have an equal chance of being surveyed.

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Determine which values of p the following integrals converge. Give your answer in each case by selecting the appropriate inequal
sashaice [31]

Answer:

Step-by-step explanation:

a)

\int\limits^2_1 {\frac{1}{x(lnx)^p} } \, dx

this can be done by substitute lnx = u

dx/x = du

When x =1, u =0 and when x =2, u = ln 2

So integral = \int\limits^{ln2} _0 {du/u^p} \\\=\frac{u^{-p+1} }{-p+1}

We find that this integral value is not definid for p =1

Hence for values of p other than 1, this converges.

When we substitute limits

\frac{1}{1-p} ((ln2)^{1-p} -1)

and converges for p ≠1

b) \int\limits^1_0 {lnx}/x^p \, dx \\\int \frac{\ln \left(x\right)}{x^p}dx=\frac{1}{-p+1}x^{-p+1}\ln \left(x\right)-\frac{x^{-p+1}}{\left(-p+1\right)^2}+C

So not converging for p =1

But ln x is defined only for x >0

So integral 0 to 1 makes this integral not valid and hence not convergent.

7 0
3 years ago
Rick traveled 23 of the way from his parents' house to his college dorm. He has driven 294 miles. What is the total distance bet
dimulka [17.4K]

Answer:

441 miles

Step-by-step explanation:

Rick traveled \frac{2}{3} of the way from his parents' house to his college dorm. He has driven 294 miles.

This means that

\dfrac{2}{3} \text{ of the way is } 294 \text{ miles}

Then

\dfrac{1}{3} \text{ of the way is } 294\div 2=147 \text{ miles}

and

\dfrac{3}{3} \text{ of the way is } 294+147=441 \text{ miles}

6 0
3 years ago
Is 0.003 greater or less than 0.0023
labwork [276]

Answer:

0.003 is greater than 0.0023

Step-by-step explanation:

The numbers after the decimal as they get greater their value becomes less.

5 0
3 years ago
How can you find 27 + (-40)
Viefleur [7K]

Answer:

27 + (-40) = -13

Step-by-step explanation:

27 + (-40)

= 27 - 40

= -13

6 0
3 years ago
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I need help with this plzzzzzzzzzzzz
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Answer:

6ft by 15ft

Step-by-step explanation:

just divide each number by two and add it to the origanal number.

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3 years ago
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