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Serggg [28]
2 years ago
7

A marketing representative wants to estimate the proportion of people in a state who like the new design on the packaging of a c

ertain cleaning product. The representative interviewed 100 people at a certain supermarket, and 82 people indicated that they liked the new design. Have the conditions for creating a confidence interval for the population proportion bemer A) Yes, because the sample was selected at random Yes, because sampling distributions of population proportions are mod c e s, because the sample is large enough to satisfyere normality condition D) No, because the sample is not large enough to satisfy the normalty.com c) No, because the sample may not be representative of speech
Mathematics
1 answer:
Effectus [21]2 years ago
8 0

Answer:

The correct option is;

(B) Yes, because sampling distributions of population proportions are modeled with a normal model.

Step-by-step explanation:

Here we have the condition for normality being that where we have a population with a given mean and standard deviation, while a sufficiently large sample is drawn from the population while being replaced, the distribution of the sample mean p will be distributed normally according to central limit theorem.

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In the right △ABC with m∠C=90°, m∠B=75°, and AB=12 cm. Find the area of △ABC. without trigonometry! worth 49 points
grin007 [14]

There might be two ways to go about this

(1) I am going to assume that we can construct a second (reference) triangle - and you confirmed that it is ok to use trigonometry on that, and then we use the relationship between areas of similar triangles to get what we want. I choose a triangle DEF with same angles, 15, 75, and 90 degrees, and the hypotenuse DE a of length 1 (that is a triangle similar to ABC). I use sin/cos to determine the side lengths: sin(15)=EF and cos(15)=DF and then compute the area(DEF) =EF*DF/2. This turns out to be 1/8 = 0.125.

Now one can use the area formula for similar triangles to figure out the area of ABC - this without trigonometry now: area(ABC)/area(DEF)=(12/1)^2

so area(ABC)=144*area(DEF)=144*0.125=18


(2) Construct the triangle ABC geometrically using compass, protractor, and a ruler. Draw a line segment AB of length 12. Using the compass draw a (Thales') semi-circle centered at the midpoint of AB with radius of 6. Then, using the protractor, draw a line at 75 degrees going from point B. The intersection with the semicircle will give you point C. Finally. draw a line from C to A, completing the triangle. Then, using ruler, measure the length BC and AC.

Calculate the area(ABC)=BC*CA/2, which should come out close to 18, if you drew precisely enough.

3 0
2 years ago
The angle of elevation to a nearby tree from a point on the ground is measured to be 47^{\circ} ∘ . How tall is the tree if the
spin [16.1K]

Answer:

ưyhhteet4ygdvwfe

Step-by-step explanation:

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2 years ago
The scale factor of a model of a hot air balloon to the actual hot air balloon is 1 to 5. the volume of the actual balloon is 50
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\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{model}{actual}\qquad \cfrac{s}{s}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\implies \cfrac{1}{5}=\cfrac{\sqrt[3]{v}}{\sqrt[3]{5000}}\implies \cfrac{1}{5}=\sqrt[3]{\cfrac{v}{5000}}
\\\\\\
\left( \cfrac{1}{5} \right)^3=\cfrac{v}{5000}\implies \cfrac{1^3}{5^3}=\cfrac{v}{5000}\implies \cfrac{1}{125}=\cfrac{v}{5000}


solve for "v"
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2 years ago
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Answer: 5/12

Step-by-step explanation:

because the denominators are not the same you have to multiply to get a common base and then you can subtract from there to see how much he has left.

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6 nickels and 15 pennies
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