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Victor collects data on the price of a dozen eggs at 8 different stores.median: $ 1.55
Find the lower quartile and upper quartile of
the data set.
lower quartile: $
upper quartile: S
?
$1.39 $1.40 $1.44 $1.50 $1.60 $1.63 $1.65 $1.80

Answers

Answer 1
Answer:

Answer:

Lower quartile: $1.42

Upper quartile: $1.64

Step-by-step explanation:

The median is the middle value when all data values are placed in order of size.

The ordered data set is:

$1.39 $1.40 $1.44 $1.50 $1.60 $1.63 $1.65 $1.80

There are 8 data values in the data set, so this is an even data set.

Therefore, the median is the mean of the middle two values:

\implies \sf Median\;(Q_2)=(\$1.50+\$1.60)/(2)=\$1.55

Place "||" in the middle of the data set to signify where the median is:

$1.39 $1.40 $1.44 $1.50 ║ $1.60 $1.63 $1.65 $1.80

The lower quartile (Q₁) is the median of the data points to the left of the median.  As there is an even number of data points to the left of the median, the lower quartile is the mean of the the middle two values:

\implies \sf Lower\;quartile\;(Q_1)=(\$1.40+\$1.44)/(2)=\$1.42

The upper quartile (Q₃) is the median of the data points to the right of the median.  As there is an even number of data points to the right of the median, the upper quartile is the mean of the the middle two values:

\implies \sf Upper \;quartile\;(Q_1)=(\$1.63+\$1.65)/(2)=\$1.64
Answer 2
Answer:

Answer:

to find the lower quartile and upper quartile of the given dataset, we need to first arrange the data in ascending order:

$1.39, 1.40, 1.44, 1.50, 1.60, 1.63, 1.65, 1.80$

The median of the dataset is given as $1.55$. Since there are an even number of data points, the median is the average of the two middle values, which in this case are $1.50$ and $1.60$.

Now, we need to find the lower quartile and upper quartile. The lower quartile is the median of the lower half of the data set, and the upper quartile is the median of the upper half of the data set.

The lower half of the dataset is $1.39, 1.40, 1.44, 1.50$. The median of this half is the average of the middle two values, which are $1.40$ and $1.44$.

Therefore, the lower quartile is $1.42$.

The upper half of the dataset is $1.60, 1.63, 1.65, 1.80$. The median of this half is the average of the middle two values, which are $1.63$ and $1.65$.

Therefore, the upper quartile is $1.64$.

Hence, the lower quartile of the dataset is $1.42$ and the upper quartile is $1.64$.

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An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let P(t) denote the number of people (in millions) who become aware of the product by time t. Suppose that P increases at a rate proportional to the number of people still unaware of the product. The company determines that no one was aware of the product at the beginning of the campaign, and that 50% of the people were aware of the product after 50 days of advertising. The number of people who become aware of the product at time t is:

Answers

Answer:

P(t)=3,000,000-3,000,000e^(0.0138t)

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

P'(t)=K(3,000,000-P(t))

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

P(0) = 0 and P(50) = 1,500,000

We have and ordinary differential equation of first order that we can write

P'(t)+KP(t)= 3,000,000K

The integrating factor is

e^(Kt)

Multiplying both sides of the equation by the integrating factor

e^(Kt)P'(t)+e^(Kt)KP(t)= e^(Kt)3,000,000*K

Hence

(e^(Kt)P(t))'=3,000,000Ke^(Kt)

Integrating both sides

e^(Kt)P(t)=3,000,000K \int e^(Kt)dt +C

e^(Kt)P(t)=3,000,000K((e^(Kt))/(K))+C

P(t)=3,000,000+Ce^(-Kt)

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

so

e^(-50K)=(1)/(2)\Rightarrow K=-(log(0.5))/(50)=0.0138

And the equation that models the number of people (in millions) who become aware of the product by time t is

P(t)=3,000,000-3,000,000e^(0.0138t)

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Answers

2 1/8 is the opposite

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Answers

Answer:

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Step-by-step explanation:

You graph the inequality by finding the boundary line, then shading the appropriate area.

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Answers

Answer:

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Step-by-step explanation:

-4x +10 =5(x +11)

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x=-45 :9

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Answers

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Answer:

Option D

Step-by-step explanation:

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Also, AC is the median so it divides into two congruent angles and parts

Option D, because the reflexive property is then included in that part
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