A town has two shopping malls. A survey conducted on the shopping preferences of the town's residents showed that 62% of the residents visit Comet Mall, 73% of the residents visit Star Mall, and 48% of the residents visit both malls. The probability that a resident is chosen at random shops at either Comet Mall or at Star Mall is

Answer:

$131.71

Step-by-step explanation:

Given:

Original price: $234.45

Markdown: 78%

---------------------------------------------------------------------------

Actual Selling Price: 131.71

Markdown: 102.74

-------------------------------------------------------------------------

The value of g for the relative frequency table in this problem is given as follows:

33%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it represents the relative frequency of the outcome.

There are 76 total outcomes for the table in this problem, while the item g is associated with 25 desired outcomes, hence the relative frequency is given as follows:

25/76 x 100% = 33%.

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Answer:

y = -x + 6

y = -1/2x - 4

Step-by-step explanation:

slope of function in table is -2

the greater the absolute value of the slope, the steeper the line

so the absolute values of -1 and -1/2 are less than absolute value of -2

Answer:

b

Step-by-step explanation:

\(\\ \sf\longmapsto E=mc^2\)

\(\\ \sf\longmapsto c^2=\dfrac{E}{m}\)

\(\\ \sf\longmapsto c=\sqrt{\dfrac{E}{m}}\)

\(\\ \sf\longmapsto c=\dfrac{\sqrt{E}}{\sqrt{m}}\)

Hence solved

The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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There are two solutions: x = -3 and x = -7.

Let's analyze each equation to determine the number of solutions and provide explanations:

x² - 144 = 0

This equation can be rewritten as (x - 12)(x + 12) = 0. It is a quadratic equation in the form of (x - a)(x + a) = 0, where a is a constant. In this case, a = 12.

Since we have two factors that multiply to give zero, either (x - 12) = 0 or (x + 12) = 0 must be true for the equation to hold.

Thus, there are two solutions: x = 12 and x = -12.

x² + 1440

This equation does not contain an equal sign, so it is not an equation. It is an expression. Therefore, it does not have any solutions.

x (x - 5) = 0

This equation is a product of two factors equal to zero. Either x = 0 or (x - 5) = 0 must be true for the equation to hold. Thus, there are two solutions: x = 0 and x = 5.

(x - 8)² = 0

This equation is a perfect square trinomial. The square of any number is always non-negative, and it only equals zero when the number itself is zero. Thus, the equation (x - 8)² = 0 has only one solution: x = 8.

(x + 3)(x + 7) = 0

This equation is a product of two factors equal to zero. Either (x + 3) = 0 or (x + 7) = 0 must be true for the equation to hold. Thus, there are two solutions: x = -3 and x = -7.

To summarize:

x² - 144 = 0 has two solutions: x = 12 and x = -12.

x² + 1440 does not have any solutions.

x (x - 5) = 0 has two solutions: x = 0 and x = 5.

(x - 8)² = 0 has one solution: x = 8.

(x + 3)(x + 7) = 0 has two solutions: x = -3 and x = -7.

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Answer:

its c

Step-by-step explanation:

easy 23 simple mulitply then add

Quantities that are proportional to each other are,

A) radius and diameter of a circle

B) radius and circumference of a circle

C) radius and area of a circle

D) diameter and circumference of a circle

E) diameter and area of a circle​

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

We know the radius of a circle is r and the diameter of a circle is 2r.

We also know that the circumference of a circle is 2πr and the area of a circle is π(r)².

Now the quantities that will be related to each other are the quantities that are together linked in the formula of circumference and area.

∴ Radius and diameter of a circle, Radius, and circumference of a circle, Radius and area of a circle, Diameter and circumference of a circle, and Diameter and area of a circle​ all are related to each other and are directly proportional.

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Step-by-step explanation:

\( \frac{4}{3} \pi {(4.3)}^{3} \\ \frac{4}{3} \pi(79.507) \\ \frac{318.028}{3} \pi \\ 106.0093\pi \\ \frac{1}{2} 333.038 \\ 166.5 {cm}^{3} \)

Answer:

A)30705

Step-by-step explanation:

3* 10^4 + 7 x 10^2 + 5 x 10^0

Evaluate the exponent

3⋅10^4+7⋅10^2+5⋅10^0

3⋅10000+7⋅10^2+5⋅10^0

Multiply the numbers

3⋅10000+7⋅10^2+5⋅10^0

30000+7⋅10^2+5⋅10^0

Evaluate the exponent

30000+7⋅10^2+5⋅10^0

30000+7⋅100+5⋅10^0

Multiply the numbers

30000+7⋅100+5⋅10^0

30000+700+5⋅10^0

Evaluate the exponent

30000+700+5⋅10^0

30000+700+5⋅1

Multiply the numbers

30000+700+5⋅1

30000+700+5

Add the numbers

30000+700+5

30705

The value of the 10% trimmed mean is approximately 1.3027. To calculate the 10% trimmed mean, we need to trim off the lowest and highest 10% of the data and then find the mean of the remaining values.

First, let's sort the data in ascending order:

0.2, 0.21, 0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26, 3.06, 3.24

Next, we calculate the number of values to trim from each end:

10% of 15 (total number of values) = 0.1 * 15 = 1.5

Since we can't remove half a value, we round up to the nearest whole number, which is 2.

Now, we remove the two lowest and two highest values:

0.26, 0.3, 0.33, 0.41, 0.54, 0.57, 1.41, 1.7, 1.84, 2.2, 2.26

Finally, we calculate the mean of the remaining values:

(0.26 + 0.3 + 0.33 + 0.41 + 0.54 + 0.57 + 1.41 + 1.7 + 1.84 + 2.2 + 2.26) / 11 = 14.33 / 11 ≈ 1.3027

Rounding to four decimal places, the value of the 10% trimmed mean is approximately 1.3027.

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Answer:

i'm pretty sure its elimination  

Yes, the  intersection of all of those intervals always be ope

The mathematical concept of well-defined groupings of objects, or sets, that are referred to as members or elements of the set. The only sets that are taken into consideration are those whose members are also sets because pure set theory only deals with sets.

Any union of open sets, or an unlimited number of open sets, is open. It is open where a finite number of open sets intersect.

A closed set is the complement of an open set (according to the space that the topology is specified on).

Thus, the intersection of all of those intervals always be open.

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We have been given that a company makes wax candles in the shape of a solid sphere. Each candle has a diameter of 15 cm. We are asked to find the number of candles that company can make from 35,325 cubic cm of wax.

To solve our given problem, we will divide total volume of wax by volume of one candle.

Volume of each candle will be equal to volume of sphere.

\(V=\frac{4}{3} \pi r^3\), where r represents radius of sphere.

We know that radius is half the diameter, so radius of each candle will be \(\frac{15}{2}=7.5\) cm.

\(\text{Volume of one candle}=\dfrac{4}{3} \times3.14\times(7.5 \ \text{cm})^3\)

\(\text{Volume of one candle}=\dfrac{4}{3} \times3.14\times421.875\ \text{cm}^3\)

\(\text{Volume of one candle}=1766.25\ \text{cm}^3\)

Now we will divide 35,325 cubic cm of wax by volume of one candle.

\(\text{Number of candles}=\frac{35,325 \ \text{cm}^3}{1766.25 \ \text{cm}^3}\)

\(\text{Number of candles}=\frac{35,325 }{1766.25 }\)

\(\text{Number of candles}=20\)

Therefore, 20 candles can be made from 35,325 cubic cm of wax.

Answer:

circle the second and forth one

Answer

Out of the 5 triangles, including the shaded one, the similar ones are the second (right next to the shaded) and 4th (to the left of the last one)

Step-by-step explanation:

Answer:

two kiwis

Step-by-step explanation:

32 divided by 16 is 2 and if she only has $4 then she can only buy 2 kiwis.

Answer: 9/10

Step-by-step explanation: Greater than 3/4, less than 4/4, and a multiple of 0.3

.9 is the only multiple of .3 that is in the range of 75-100%.

To find the value of K, we start by analyzing the given equations and the properties of the graph of the function f(x).

From the equation 2(α - 1)^3 + 3(α - 1)^2 + 6α = 0, we can simplify and solve for α:

2α^3 - 6α^2 + 6α - 2 + 3α^2 - 6α + 3 + 6α = 0

2α^3 - 3α^2 + 3 = 0

Similarly, from the equation 2(1 - ß)^3 + 3(1 - ß)^2 - 6ß + 12 = 0, we can simplify and solve for ß:

2 - 6ß + 6ß^2 - 2ß^3 + 3 - 6ß + 12 = 0

-2ß^3 + 6ß^2 - 12ß + 17 = 0

Since α ≠ ß, these equations represent two different values for α and ß.

Next, we are given that the graph of y = f(x) is symmetric about the point (1, 0). This means that if (x, y) is a point on the graph, then (2 - x, y) is also a point on the graph. In other words, the function f(x) satisfies the symmetry property:

f(2 - x) = f(x)

Now, let's consider the integral ∫α ß f(x) dx. Since the graph of f(x) is symmetric about (1, 0), we can rewrite the integral as:

∫α ß f(x) dx = ∫1 α f(x) dx + ∫1 ß f(x) dx

Using the symmetry property, we can rewrite the second integral as:

∫1 ß f(x) dx = ∫1 2-ß f(x) dx

Combining the two integrals, we have:

∫α ß f(x) dx = ∫1 α f(x) dx + ∫1 2-ß f(x) dx

Now, if we let K = ∫1 2 f(x) dx, we can rewrite the above equation as:

∫α ß f(x) dx = ∫1 α f(x) dx + ∫1 2 f(x) dx - ∫2-ß 1 f(x) dx

Since the graph of f(x) is symmetric about (1, 0), the integral ∫2-ß 1 f(x) dx is equal to ∫1 2 f(x) dx. Therefore, we can simplify the equation further:

∫α ß f(x) dx = ∫1 α f(x) dx + ∫1 2 f(x) dx - ∫2-ß 1 f(x) dx

∫α ß f(x) dx = ∫1 α f(x) dx + ∫1 2 f(x) dx - ∫1 2 f(x) dx

∫α ß f(x) dx = ∫1 α f(x) dx

Since ∫α ß f(x) dx = K(α + ß), we can equate it to ∫1 α f(x) dx:

K(α + ß) = ∫1 α f(x) dx

Now, to find the value of K, we need to solve this equation for K. It depends on the specific form of the function f(x) and the limits of integration α and 1.

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Answer:

512 ft³

Step-by-step explanation:

The volume of a cube is (cube's side length)³, so this one would have a volume of 8³ = 512 ft³

The function describes the table from x=5 to x=9 then D) Positive and increasing.

What is function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

Here in the given table represent the number of people who attend the movie and total cost of the movie tickets,

x               y

5               35

6               42

7               49

8               56

9              63

Now lets write the function using slope and equation formula then,

\((x_1,y_1)=(5,35)\) and \((x_2,y_2)=(6,42)\) ,

Slope m = \(\frac{y_2-y_1}{x_2-x_1}\) = \(\frac{42-35}{6-5}\)=\(\frac{7}{1}\) = 7

Now using equation formula \(y-y_1=m(x-x_1)\)

=> y-35=7(x-5)

=> y-35=7x-35

=> y = 7x.

Then from x=5 to x=9 then value of y is increasing.

Hence the answer is D) positive  and increasing.

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As shown in the number line, The total distance of the racing road is 70 yards.

it is given that the starting location is -35 yards behind the starting line and the ending location of the race court is 35 yards in front of the starting line.

we have to draw a Number line that has -35 and +35 so the origin of that number line is the starting point of the race court.

In the above figure if we are moving forward towards the origin we find that we are moving 35 yards in the number line, after reaching the origin of the number line move forward again 35 yards then we are at the ending location of the racing court.

So,

35 yards + 35 yards = 70 yards

The total racing area of the cars is = 70 yards.

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Answer:A= 1,2 B=1,2 C=-9,10

Step-by-step explanation:

For A=

To find A', reflect the triangle exactly over the y-axis. That will put your A' at (1,2)

For B=

translate the triangle clockwise around the origin, (0,0), to put B' at (1,2)

For C= Translate point C to the left 4, and up 2, so the answer is (-9,10)

Answer:

Step-by-step explanation:

Length = 22m

Breadth = 13m

Perimeter of the ground = ?

1st answer-

Perimeter = 2(l + b)

= 2(22 + 13)

= 70m

2nd answer-

Length of wire needed to fence around the ground = 70m * 3

= 210m

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The correct statement are:

Based on the given information, we can make the following conclusions:

A. The interquartile range for high school students is smaller than college students.

The statement is False

B. The mean for high school students is smaller than college students.

The statement is False because the mean of College is 25.28 and mean for High school is 30.4.

C. The range for high school students is larger than college students.

The statement is True .

D. The college median is equal to the high school median.

The statement is True because the median for both is 24..

E. The mean absolute deviation is larger for college students than high school students.

The statement is False.

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Answer: 240.6cm *squared*

Step-by-step explanation:

Surface Area= (2 x Area of 1st face) + (2 x Area of 2nd face) + (2 x Area of 3rd face)

= (2 x 10.5cm x 5.4 cm) + (2 x 10.5 cm x 4.0cm) + (2 x 5.4cm x 4.0cm)

= 113.4cm*squared* + 84.0cm *squared* + 43.2cm *squared*

= 240.6cm *squared*

OR

= 2 x (sum of the 3 faces)

= 2 x (56.7cm * squared* + 42.0cm *squared* + 21.6cm *squared*)

= 2 x 120.3cm *squared*

= 240.6cm *squared*

Answer:

Total Volume of composite figure = 635.2 cm³

Steps:

CV = h×3.14×(d/2)²

CV = 5×3.14(8/2)²

CV = 5×3.14(4)²

CV = 5×3.14×16

CV = 5×50.24

CV = 251.2 cm³

RV = h×w×l

RV = 4×8×12

RV = 4×96

RV = 384 cm³

TV = CV + RV

TV = 251.2 + 384

TV = 635.2 cm³

Answer:

The first term is,  x2  its coefficient is  1 .

The middle term is,  +5x  its coefficient is  5 .

The last term, "the constant", is  +21 

Step-1 : Multiply the coefficient of the first term by the constant   1 • 21 = 21 

Step-2 : Find two factors of  21  whose sum equals the coefficient of the middle term, which is   5 .

     -21   +   -1   =   -22     -7   +   -3   =   -10     -3   +   -7   =   -10     -1   +   -21   =   -22     1   +   21   =   22     3   +   7   =   10     7   +   3   =   10     21   +   1   =   22

Answer:

B

Step-by-step explanation:

8 weeks, 2 sessions per week =16 sessions

45mins each = 16*45=720 mins = 12 hours

52 /12 =4.33 / hour

B: $4.33/hour is the closest to the charge per hour for the courses. Hence, the correct option is (B)

The total charge for the 8-week course is $52, which means each 45-minute session costs $52 / (2 sessions/week * 8 weeks) = $1.67.

To convert this to an hourly rate, we divide by 45 minutes to get an hourly rate of $1.67 / (45 minutes/hour) = $3.93/hour.

Therefore, the answer closest to this is $4.00/hour, which is not one of the options, but we can see that $3.93/hour is closest to option B: $4.33/hour.

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Answer:

1.2

Step-by-step explanation:

(I am not a good explainer)