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Anton [14]
3 years ago
5

6. 1 point Mark only one oval. Not biased Bias 7. 2 points Mark only one oval. 26 oz 27 oz 28 oz A town has 15,000 registered vo

ters. A random sample of 200 voters finds that 100 are in favor of a new dog park. How many are likely to vote for the dog park?
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

Answer:

About 7,500 registered voters are expected to vote for the new dog park.

Step-by-step explanation:

- A town has 15,000 registered voters.

- A random sample of 200 voters shows that 100 voters are in favour of a new dog park.

How many registered voters are likely to vote for the dog park?

The laws of probability allows us to extrapolate and use the proportion of randomly sampled registered voters that vote for a new dog park to calculate the actual number of registered voters that will vote for a new dog park.

Proportion of randomly sampled registered voters that voted for a new dog park

= (100/200) = 0.50

Proportion of overall registered voters that will vote for a new dog park will also be 0.50.

Number of likely registers voters that'll vote for a new dog park = 0.50 × 15,000 = 7,500

Hope this Helps!!!

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Domain of y= 6x+13/x^2-4x-12
borishaifa [10]
Domain is the set of numbers you can subsitute for the input (in this case x) and for it to be allowed (dividing by zero is not allowed so if you have y=6/x then x is not allowed to be zero, it can be anything else though)

ok, so from experience the x^2-4x-12 part is supposed to be all under the parenthaseeese and if so, go to part AAAAAAAAAAAAA
if it isn't and only x^2 is below the fraction, then go to BBBBBBBB


AAAAAAAAA
y= \frac{6x+13}{x^{2}-4x-12}
so the domain must be valid
one rule that we have is that you cannot divide by zero
therefor we find what numbers make the denomenator zero and don't allow them
x^2-4x-12=0
factor
(x-6)(x+2)=0
x-6=0
x=6

x+2=0
x=-2

so since -2 and 6 make the thingummy zero, we say that

domain={all real numbers except for -2 and 6}




BBBBBBBBBBBBBBB
y= \frac{6x-13}{x^{2}} -4x-12

so remember that you cannot divide by zero
therefor you have to make sure the deomenator is not equal to zero by finding those values and restricting them from the solution set
so
x^2=0
squaer root both sides
x=0
domain={all real numbers except for 0}





so if the x^2-4x-12 is under the dividing line, then the answer is domain={all real numbers except for -2 and 6}

if the x^2 only is under the dividing line then the answer is domain={all real numbers except for 0}
5 0
3 years ago
the average mass of the eggs laid by chickens on Ms. Watson's farm is 3.5 grams. about how many grams does a dozen eggs weigh?
Alex787 [66]
A dozen eggs would weigh 42 grams.
5 0
3 years ago
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What is the equation of the line of best fit for the following data? Round the slope and y intercept of the line to three decima
ZanzabumX [31]

Answer:

Choice B

Step-by-step explanation:

We can perform a least squares regression model in Ms. Excel to determine the equation of the line of best fit for the data given;

The first step is to enter the data into any two adjacent columns of an excel workbook. Next, click on the Data ribbon followed by the Data Analysis tool pack. We then proceed to select regression from the pop-up window. The final step is to select the y range and the x range of values from our data.

Once we click ok, Excel returns our least squares regression model as shown in the attachment below.

The coefficient of X variable 1 is our slope.

8 0
3 years ago
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Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values
Vesnalui [34]

The Lagrangian is

L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)

with critical points where the partial derivatives vanish.

L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}

L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda

L_\lambda=x^2+y^2-9=0

Substitute x,y into the last equation and solve for \lambda:

\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6

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(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)

We get an absolute maximum of 3\sqrt{17}\approx12.369 at the second point, and an absolute minimum of -3\sqrt{17}\approx-12.369 at the first point.

4 0
3 years ago
2. Kara works at a fine jewelry store and earns commission on her total sales for the week. Herweekly paycheck was in the amount
vagabundo [1.1K]
First, minus salary
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x%=x/100
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about 12%
7 0
4 years ago
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