-100 points, please answer both parts-
The data modeled by the box plots represent the battery life of two different brands of batteries that Mary tested.


(a) What is the median value of each data set?
(b) Compare the median values of the data sets. What does this comparison tell you in terms of the situation the data represent?

Using a proportional relationship, it is found that the two equations that have the same constant of proportionality are givn by:

с 1 and 3

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

In this problem, the functions and constants are given as follows:

Equations 1 and 3 have the same constants, hence option c is correct.

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Answer:

C ∪ D = (-∞, 2] ∪ (7, ∞)

C ∩ D = Ø  (empty)

Step-by-step explanation:

C ∪ D:  The union of two sets or intervals is the set of elements which are in either set.  

C ∩ D:  The intersection of two sets or intervals is the set of elements which are in both sets.

Interval notation symbols

Square brackets [ ]: both endpoints are included in the set.

Round brackets ( ): both endpoints are excluded in the set.

Round, square ( ]: left endpoint is excluded and right endpoint is included in the set.

Square, round [ ): left endpoint is included and right endpoint is excluded in the set.

Given:

Therefore,

Therefore,  C ∪ D = (-∞, 2] ∪ (7, ∞)

As x is either equal to or less than 2, or greater than x, there are no elements which are in both sets.

Therefore,  C ∩ D = Ø  (empty)

Answer:

310.5 mg

Step-by-step explanation:

The amount per pound would be

156 mg / 104 lb        then multiply this by the pounds of the second pt

156 mg /104 pound   * 207  pound = ~ 310.5 mg

Find the ratio:

156mm / 104lbs = 1.5mm per pound

207mm /1.5mm per lb = 138 pounds

answer: 138 pounds

Answer:

  (c)  115.2 ft³

Step-by-step explanation:

The volume of a composite figure can be found by decomposing it into figures whose volumes are easy to compute. Here, the figure can be nicely represented as a cube and a square pyramid.

__

The volume of the cube on the left is given by ...

  V = s³

  V = (4.2 ft)³ = 74.088 ft³

__

The volume of the pyramid on the right is given by ...

  V = 1/3Bh . . . . . where B is the area of the square base

  V = 1/3(s²)h = (4.2 ft)²(7 ft) = 41.16 ft³

__

The volume of the composite figure is the sum of these volumes:

  cube volume + pyramid volume = 74.088 ft³ +41.16 ft³ = 115.248 ft³

The volume of the composite figure is about 115.2 ft³.

Step-by-step explanation:

[tex](6 + 5 + 5) \times 7 = 112[/tex]

Answer:

Apply tan x=9/16 and tan y=16/9 to get the two angles x and y, and you'll receive the solution.

Applying an exponential property, it is found that the function that will generate the same note sequence as function f(n) is given by:

B. [tex]H(n) = 6(2)^{4n}[/tex]

The function for the node sequence is defined by:

[tex]f(n) = 6(16)^n[/tex]

A function that will the same note sequence as function f(n) has the same initial value of 6. Additionally, applying an exponential property, we have that:

[tex]H(n) = 6(2)^{4n} = 6(2^4)^n = 6(16)^n[/tex]

Hence option B is correct.

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The Brand Blast normally charges a shirt is $13 if the Blast reduced the price of each shirt by $5 principal Howard paid $928 in all.

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

If in the linear equation one variable is present then the equation is known as the linear equation in one variable.

Let's suppose the normally Blast charge $x for each shirt

So according to the problem:

116(x-5) = 928

x = $13

Thus, the Brand Blast normally charges a shirt is $13 if the Blast reduced the price of each shirt by $5 principal Howard paid $928 in all.

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Answer:

All real numbers

Step-by-step explanation:

We can start out by knowing that the domain of a graph is, the side, to side from the x axis directions.

We can see that the line continues of the graph shown, meaning it is infinite. Meaning the answer is the domain is all real numbers.

We can double check by seeing that the other options don't work or aren't enough:

[tex]x\geq 2\\and\\x\leq 2\\and\\x\geq -4[/tex]

The first wouldn't work becuase, yes that is part of the answer, but not the whole answer. The same goes for the others as well, they are on the line and are correct, but the best, and full answer is "All real numbers"

Answer:

70 degrees

Step-by-step explanation:

120 + angle V = 180     V = 60

60 + 50 + ? = 180

? = 70

Answer:

40<x<168

Step-by-step explanation:

When we have two points that a line passes through and asked to determine the slope of the line, the slope formula is going to come in handy.

This is the formula :

[tex]\boxed{\\\begin{minipage}{3cm}slope~formula~: \\ $\displaystyle\frac{y2-y1}{x2-x1}$ \\ \end{minipage}}[/tex]

y2 and y1 are y-coordinates, and x2 and x1 are x coordinates

Plug in the values :

[tex]\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0-(-7)}{7-0} $\end{minipage}}[/tex]

[tex]\boxed{\\\begin{minipage}{3cm}$\displaystyle\frac{0+7}{7} \end{minipage}}[/tex]

Which simplifies to [tex]^7/_7[/tex], or 1

1 (Option D.)

hope helpful ~

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{8})\qquad \qquad \stackrel{slope}{m}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{8}=\stackrel{m}{-3}(x-\stackrel{x_1}{1}) \\\\\\ y-8 = -3x+3\implies y=-3x+11[/tex]

Answer:

The domain of a function is the possible input values, the function can take.

The possible domain is:

The domain of the function is the set of possible values of d.

Because d represents the depth of water,

The starting value can take any value, less than 0

But the end value must be 0 (i.e. the surface of water)

This means that, the domain of the function will be from negative infinity to 0

Hence, the domain is (-infinity, 0}

Step-by-step explanation:

Answer:

[A] -3(2x-2.5)

Step-by-step explanation:

Given:

Which expression is equivalent to -6x + 7.5?

Solution:
Going through all answer choices:

[A] -3(2x-2.5)

Simplify

-6x + 7.5

[B] -3(2x + 2.5)

Simplify

-6x - 7.5

[C] -3(2x-7.5)

Simplify

-6x+22.5

[D]  -3(2x + 7.5)

Simplify

-6x - 22.5

Hence, the answer is [A] -3(2x-2.5)

Kavinsky

- 6x + 7.5

If you we split this equation then we'll get -3(2x-2.5).

Because,

Answer:

Step-by-step explanation:

Midpoints of two coordinates is expressed using the formula;

M(X, Y) = (x2+x1/2, y2+y1/2)

Given the coordinates  c(5,3) and d(-3,-6)

x1 = 5, y1 = 3, x2 = -3 and y2 = -6

X = x1+x2/2

X = 5+(-3)/3

X = 5-3/2

X = 2/2

X = 1

Also;

Y = y1+y2/2

Y = 3+(-6)/2

Y = 3-6/2

Y = -3/2

Y = -1.5

Answer:

9 and 7

Step-by-step explanation:

[tex]9+7=16[/tex]

[tex]9*7=63[/tex]

Answer:

c. 84.78 mm

Step-by-step explanation:

Circumference of a circle

Given

Solving

Answer:

The answer is X =2

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

You just have to do 150 divided by 5 because you are trying to find out how many pages per day that student read.

The student read 30 pages in one day.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total Pages in a book = 150 pages

Number of days book completed= 5 days

so, each day the student read

= 150/ 5

= 30 pages

Hence, the average rate is 30 pages in one day.

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Using proportions, it is found that the correct option is given by:

B Ron should replace the pitcher with a relief pitcher.

A proportion is a fraction of a total amount.

In this problem, when Ron replaced the pitcher, the team won 8 out of 14 games, hence the proportion of wins is:

pR = 8/14 = 0.5714.

When Ron kept the pitcher, the team won 4 out of 10 games, hence the proportion of wins is:

pK = 4/10 = 0.4.

Since pR > pK, option B is correct.

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Answer:

5

Step-by-step explanation:

After buying the Paper Tori is left with $15.

Since each notebook costs $3, 15 / 3 = 5 so she can buy 5 notebooks.

Answer:

5 notebooks. she bought one paper for 5$, meaning she is left with 15$ because 20-5=15. now that we have 15, we need to divide it by three, because notebooks are 3$ each, leaving us with 5 notebooks.

Step-by-step explanation:

Answer:

you can do 97 - 2 which is 95, that's the range

Answer:

3/4

Step-by-step explanation:

1/4+5/2=1/4+10/4=11/4=2 3/4-2=3/4

The time for the job for which the two company are the same is 16

A yard cleanup service charges a $345 fee plus $16.25 per hour. Therefore,

using linear equation,

y = mx + c

where

Therefore,

y = 345 + 16.25x

Another cleanup service charges a $213 fee plus $24.50 per hour. Therefore,

y = 213 + 24.50x

Hence, the time when both cost are the same is as follows;

213 + 24.50x =  345 + 16.25x

213 - 345 = 16.25x - 24.50x

-132 = -8.25x

x = 132 / 8.25

x = 16

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Answer: 60

Step-by-step explanation: 30+ 50 + 60 + 70 + 90 = 300

Divide by 5

Answer:

The corresponding angles are congruent. The corresponding sides all have the same ratio.

Step-by-step explanation:

Congruent means the angles are equal to each other. There are three pairs of angles. "Matching angles" (not a mathematical term) will be the same/equal/congruent.

The sides would only be same/equal/congruent if the triangles were congruent. For similar triangles, you can find a ratio of sides like big/little or little/big and if you set up the ratios of the matching sides, the ratio will be the same for all three pairs of sides. See image for example.

Based on the shipping rate and the price of the t-shirts, it can be concluded Sam ordered a total of 6 t-shirts.

5.99 + x12.50 = 80.99

x represents the number of t-shirts she bough, which is the focus of the equation.

Let's solve it:

Sam ordered 6 t-shirts.

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Answer:

Below in bold.

Step-by-step explanation:

The defender is at (x) = 35 yards

So height  y = (-1/40)35^2 + 35 + 6 = 10.375 ft

So as he only jumps to 9 feet he will not prevent the catch