I'LL MARK THE BRAINLIEST!!!!!!

Consider 8 = − 2/3x. Which is the BEST first step to take when solving the given equation?

A) Multiply each side by 3/2.


B) Multiply each side by −3/2.


C) Multiply each side by −2/3.


D) Add 2/3x to each side.

Maya scored 4 points in game 6. The correct answer is A.

The mean, also known as average, is a mathematical concept that expresses central tendency and is defined as the sum of a set of numbers divided by the total number of values in the set. It is one of the most widely applied central tendency measures in statistics.

The data set's values are totaled up to get the mean, which is then divided by the total number of values.

The mean is given by the formula:

Mean = (Sum of all data values) / (Number of data values)

Substituting the value we have:

(8 + 12 + 10 + 6 + 14 + x) / 6 = 9

50 + x = 54

x = 4

Hence, Maya scored 4 points in game 6. The answer is A.

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according to the question on average, we can expect to lose about $6.67 each time you play this game.

Probability theory, a subfield of mathematics, quantifies the likelihood that an event is going to happen or that a statement is true. The probability for an event is a number between 0 and 1, where 0 roughly denotes how probable the event is to occur and 1 denotes certainty. A probability is a numerical representation of the likelihood that a certain event will occur. In addition to numbers from 0 to 1, probability values can also be stated as percentages between 0% and 100%. the fraction of an entire set of equally likely possibilities that result in a certain occurrence out of all possible outcomes, expressed as a ratio.

To calculate the expected value of your net winnings, we need to determine the probability of each outcome and multiply it by the corresponding dollar amount.

The probability of drawing a ball numbered 1 or 2 is 2/12 or 1/6. If you win, you receive the amount on the ball, so the expected value of this outcome is:

(1/6) x $1 + (1/6) x $2 = $1/3

The probability of drawing a ball numbered with a multiple of 3 is 4/12 or 1/3. If you win, you receive $3, so the expected value of this outcome is:

(1/3) x $3 = $1

The probability of drawing any other number is 6/12 or 1/2. In this case, you win nothing, so the expected value of this outcome is zero.

Therefore, the expected value of your net winnings X is:

E(X) = ($1/3) + $1 + 0 - $8 = -$6 2/3

This means that, on average, you can expect to lose about $6.67 each time you play this game.

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Answer:

a. The circumference of the base is 2πr, where r is the radius of the cylinder. Therefore, the circumference of the base is:

2π(10) = 20π

So the circumference of the base is 20π.

b. The area of the base is πr^2, where r is the radius of the cylinder. Therefore, the area of the base is:

π(10)^2 = 100π

So the area of the base is 100π.

c. The lateral area of the cylinder is given by the formula 2πrh, where r is the radius of the cylinder and h is the height (or length) of the cylinder. Therefore, the lateral area of the cylinder is:

2π(10)(2) = 40π

So the lateral area of the cylinder is 40π.

d. The total surface area of the cylinder is the sum of the lateral area and the areas of the two bases. The area of each base is πr^2, which we already calculated to be 100π. Therefore, the total surface area of the cylinder is:

2(100π) + 40π = 240π

So the total surface area of the cylinder is 240π.

e. The volume of the cylinder is given by the formula πr^2h, where r is the radius of the cylinder and h is the height (or length) of the cylinder. Therefore, the volume of the cylinder is:

π(10)^2(2) = 200π

So the volume of the cylinder is 200π.

Answer:

If a candle shop is offering a 20% off sale, the prices of all candles will be reduced by 20%. This will affect the mean, median, and mode cost per type of candle in the following ways:

Hope this helps!

Answer:

Mean: The mean is calculated by adding up all the prices of the candles and dividing by the total number of candles. When the prices are reduced by 20%, the new mean will also decrease by approximately 20%. This is because each price is being multiplied by 0.8, and then the total is divided by the same number of candles.

Median: The median is the middle value when all the candle prices are listed in order from lowest to highest. When the prices are reduced by 20%, the relative position of each price will remain the same. However, the actual values will decrease by 20%. Therefore, the new median will also decrease by approximately 20%.

Mode: The mode is the most common value in the set of candle prices. When the prices are reduced by 20%, it is possible that the mode will change, depending on the original distribution of prices. For example, if there are originally two or more prices that are tied for the most common value, then the mode may remain the same. However, if there is only one most common value, and this value is reduced by 20%, then a different value may become the new mode.

Step-by-step explanation:

If a researcher is standing in a corner (point c) of a triangle plot. the angle to point a is S76E .  the distance between point A and point B is 210 ft.

To find the distance between points A and B, we can use the Law of Cosines. Let's first label the angles of the triangle:

   Angle ACB = 180 - (76 + 32) = 72 degrees

   Angle BAC = 76 degrees

   Angle ABC = 32 degrees

Using the Law of Cosines, we have:

AB^2 = AC^2 + BC^2 - 2(AC)(BC)cos(ACB)

where;

AB is the distance between points A and B

AC is the distance between points A and C (210 ft

BC is the distance between points B and C (150 ft)

ACB is the angle between AC and BC (72 degrees)

Plugging in the values, we get:

AB^2 = 210^2 + 150^2 - 2(210)(150)cos(72)

AB^2 = 44100

AB = sqrt(44100)

AB = 210 ft

Therefore, the distance between point A and point B is 210 ft.

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Answer:

Step-by-step explanation:

We get triangle PQR by plotting the point P (1, 4), Q (3, 1), R (2, -1) on the graph paper when rotated through 180° about the origin. The new position of the point is: P (1, 4) → P' (-1, -4) Q (3, 1) → Q' (-3, -1) R (2, -1) → R' (-2, 1) Thus, the new position of ∆PQR is ∆P’Q’R’.

The name of the fifth student selected is Wahib, and the answer is (A) Wahib.

What is meant by selection?

Selection refers to the process of choosing or picking out something from a group or set of options based on specific criteria or requirements. It can involve evaluating and comparing different options and making a decision based on factors such as quality, suitability, relevance, or preference. Selection is a common process in various contexts, including recruitment, product design, and research.

According to the given information

To use the line of random numbers to select students, we can take the last two digits of each number and use them to select a student from the list. For example, if the random number is 02, we select Chandler because he is the second student on the list.

Using this method, the first 6 students selected are:

Chandler (02)

Cindy (03)

Heather (08)

Hsin-Chi (09)

Wahib (26)

Xavier (27)

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Answer:

Interest = $5100

Step-by-step explanation:

Using the formula:

I = PRT

Put in the numbers:

Interest = 25000 x 5.1% x 4

Then calculate:

Interest = 25000 x 5.1/100 x 4

Interest = 250 x 5.1 x 4

Interest = 1275 x 4

Interest = $5100

Answer:

=10 m

Step-by-step explanation:

PYTHAGOREAN THEOREM

8^2+6^2=64+36=100

=√100m

=10 m

0 and 1 are the numbers that do not represent the probabilities of complementary events.

Probability is a measure of the possibility or chance that an event will occur.It is a value between 0 and 1, with 0 indicating that the event will not happen and 1 indicating that the event will almost likely happen. The number of favourable outcomes divided by the total number of possible outcomes is the probability of an event. Probability is utilised extensively in a wide range of professions, including mathematics, statistics, science, economics, and engineering.

In probability theory, complementary events are two events that together encompass all possible outcomes, and their probabilities add up to 1. The complement of an event A is the absence of A, indicated by A'.  Therefore, the probability of the complement of A is 1 minus the probability of A, or P(A') = 1 - P(A).

In the given pair, 0 represents the probability of an impossible event, and 1 represents the probability of a certain event. These events are not complementary, as there is no other event that can occur apart from a certain event, and their probabilities do not add up to 1. Therefore, this pair does not represent the probabilities of complementary events.

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The airplane traveled a total distance of 5530 kilometers in all three trips.

A basic mathematical procedure called summation is adding together a sequence of integers to determine their total or sum.

A fundamental mathematical idea known as the theory of addition or summation is utilised in many practical situations to compute distances, amounts, totals, or sums in disciplines including physics, engineering, economics, and statistics. It is a fundamental mathematical operation that aids in calculating the sum of a group of integers and is frequently applied in many problem-solving contexts.

Given(refer to image):

Trip 1: 2372 km

Trip 2: 1283 km

Trip 3: 1875 km

To calculate the total miles traveled by the airplane, we add the distances traveled on each trip:

2372 + 1283 + 1875 = 5530 km

Hence, total distance of 5530 kilometers was travelled by the airplane in all three trips.

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The radius of the circle is 12, and the equation of the circle is:

(x + 2)² + (y - 8)² = 144

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

To find the equation of a circle that is tangent to a horizontal line at a given point, we can use the standard form of the equation of a circle:

(x - h)² + (y - k)² = r²

where (h, k) is the center of the circle and r is the radius.

In this case, the center of the circle is (-2, 8), which gives us:

(x + 2)² + (y - 8)² = r²

To find the radius, we need to know where the circle intersects the y = -4 line. Since the circle is tangent to the line, the distance from the center of the circle to the line is equal to the radius.

The distance between a point (x, y) and a horizontal line y = k is given by |y - k|.

In this case, the distance between the center (-2, 8) and the line y = -4 is |8 - (-4)| = 12.

Therefore, the radius of the circle is 12, and the equation of the circle is:

(x + 2)² + (y - 8)² = 144

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Complete question:

What is the center at (-2, 8), tangent to the line y = -4?

Answer:

11) In an isosceles right triangle, the length of the hypotenuse is √2 times the length of each leg.

[tex]m = n = \frac{12}{ \sqrt{2} }( \frac{ \sqrt{2} }{ \sqrt{2} }) = 6 \sqrt{2} [/tex]

12) In a 30°-60°-90° right triangle, the length of the longer leg is √3 times the length of the shorter leg, and the length of the hypotenuse is twice the length of the shorter leg.

[tex]a = \frac{7}{2} = 3 \frac{1}{2} [/tex]

[tex]b = \frac{7 \sqrt{3} }{2} [/tex]

Based on the information given, we can use the Pythagorean theorem to determine the distance traveled by the northbound car.

Let's denote the distance traveled by the northbound car as 'x' kilometers.

According to the Pythagorean theorem, in a right triangle, the square of the hypotenuse (the straight-line distance between the two cars) is equal to the sum of the squares of the other two sides (the distances traveled by each car).

In this case, the northbound car's distance is 'x' kilometers and the eastbound car's distance is 5 kilometers.

So we have the equation:

x^2 + 5^2 = 13^2

Simplifying, we get:

x^2 + 25 = 169

Subtracting 25 from both sides, we get:

x^2 = 144

Taking the square root of both sides, we get:

x = 12

So the northbound car has traveled 12 kilometers.

Answer: 12 km

Step-by-step explanation:

As seen in the figure the distance that the northbound car traveled equals to the distance from point N to the parking lot.

pythagorean: [tex]\sqrt{13^{2}-5^{2} }=12km[/tex]

The range of the relation whose graph is shown include the following: C. -1 ≤ y ≤ 1.

In Mathematics and Geometry, a domain is the set of all real numbers for which a particular function is defined.

Additionally, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:

Domain = {-4, 4} or -4 ≤ x ≤ 4.

Range = {-1, 1} or -1 ≤ y ≤ 1.

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the solution set for the inequality h < 8 is {h | h ∈ ℤ and h < 8}, which includes all whole numbers less than 8. The solution set differs from the solution on the number line in that it only includes discrete values and does not have a graphical representation.

How to solve the question?

The number line shows the solution for the inequality h < 8, where h represents the number of hats that Max can buy with the money he has saved. The solution set for this inequality is all the possible values of h that satisfy the inequality. In this case, the solution set consists of all integers less than 8, which can be represented as {h | h ∈ ℤ and h < 8}.

The solution set differs from the solution on the number line in that the solution set is a set of discrete values, while the number line is continuous. The number line represents all the possible values of h, including fractions and decimals, but the solution set only includes whole numbers. For example, the number line would include values like 7.5 or 7.9, but the solution set would only include 7.

Additionally, the number line shows the inequality graphically, with an open circle at 8 to indicate that 8 is not included in the solution set, and an arrow pointing to the left to indicate that the values of h are less than 8. The solution set does not have any graphical representation and is simply a list of values.

In conclusion, the solution set for the inequality h < 8 is {h | h ∈ ℤ and h < 8}, which includes all whole numbers less than 8. The solution set differs from the solution on the number line in that it only includes discrete values and does not have a graphical representation.

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These data allow us to determine the stream frontage's estimated **1.26**³ fractal dimension.

A fractal is a pattern that repeats indefinitely at various scales. It is a geometric object that has strictly more fractal dimensions than topological dimensions and includes detailed structure at arbitrarily small sizes. Fractals are infinitely intricate patterns that recur at various scales. They are produced by repeatedly performing a straightforward procedure in an ongoing feedback loop. Fractals, which are driven by recursion, are representations of dynamic systems, or the images of Chaos. They are situated geometrically between our well-known dimensions.

The number of scaled measuring sticks necessary to measure a coastline's fractal dimension differs depending on the scale used to scale the stick. The formula D = log (C) / log (S)⁵ can be used to calculate the dimension D of a fractal after determining the scaling factor S and the required number of copies C of the original shape.

In this situation, we may apply the formula to get the stream frontage's fractal dimension. Three measurements are available:

- 10 meters: 25 components

100 elements per meter of the ruler.

625 components on a 10-centimeter ruler.

These data allow us to determine the stream frontage's estimated **1.26**³ fractal dimension.

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Answer: To determine whether the tote can hold both bags of fruit, we need to convert the weights of the bags to the same unit, either pounds or ounces.

The weight of the bag of oranges is 2(1)/(4) pounds, which can be converted to 2.25 pounds (since 1/4 of a pound is 4 ounces, and 2(1)/(4) * 16 ounces = 36 ounces, which is 2.25 pounds).

The weight of the bag of apples is 28 ounces, which can be converted to 1.75 pounds (since 1 pound is 16 ounces, and 28 ounces is 1.75 pounds).

The total weight of the bags of fruit is 2.25 + 1.75 = 4 pounds, which is the maximum weight that the tote can hold. Therefore, the tote can hold both bags of fruit.

Step-by-step explanation:

The area of the figure is 51 cm², which is option C.

In mathematics, area refers to the measure of the size of a two-dimensional surface or shape. It is typically expressed in square units, such as square meters (m²) or square centimeters (cm²), and can be calculated for a variety of geometric shapes, including squares, rectangles, triangles, circles, and more complex shapes such as trapezoids or polygons.

To find the area of the figure, we need to identify the shape of the figure. From the given information, we know that the figure has a top side, a height, and a base. We are also told that the base is divided into two parts by a perpendicular, and one of the parts is labeled as 4 cm, while the other part from the perpendicular to the right vertex is 6.2 cm.

Based on this information, we can draw the figure as a trapezoid, where the top side is the shorter base, the height is the vertical distance between the two bases, and the longer base is the sum of the two parts of the base.

Using the given information, we can calculate the longer base:

longer base = 4 cm + 6.2 cm = 10.2 cm

Now we can use the formula for the area of a trapezoid to find the area of the figure:

A = (1/2)h(b₁ + b₂)

where h is the height, b₁ is the shorter base, and b₂ is the longer base.

Plugging in the given values, we get:

A = (1/2)(5 cm)(10.2 cm + 10.2 cm) = 51 cm²

Therefore, the area of the figure is 51 cm² , which is option C.

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Complete Question:

A four-sided figure has one side labeled 10.2 cm, a height of 5 cm, and a portion of the base from the perpendicular to a vertex labeled 4 cm. The portion of the base from the perpendicular to the right vertex is labeled 6.2 cm. What is the area of the figure?

Answer:

dummy.. just kidding lol ill answer this ;)

Janet has played guitar longer.

EX.

To compare the lengths of time Francois and Janet have played guitar, we need to convert their time periods into a consistent unit. Francois has played for 4 years, which is equivalent to 4 x 12 = 48 months. Janet has played for 32 months.

Comparing the two, Janet has played guitar for 32 months, which is shorter than Francois' 48 months. Therefore, Francois has played guitar longer than Janet.

Answer:

10 servings

Step-by-step explanation:

We Know

1 quart = 32 ounces

2 quarts = 64 ounces

How many 6-ounce servings can you get from that?

We Take

64 / 6 ≈ 10.67 servings

So you can serve 10 servings

Based on the data in the sample, we can estimate that 900 people in attendance would prefer mustard on a hot dog.

According to the data provided, out of the 150 people surveyed, 27 people prefer mustard on a hot dog.

To estimate how many people in attendance would prefer mustard on a hot dog, we can use a proportion:

27/150 = x/5000

Where x is the number of people in attendance who would prefer mustard on a hot dog.

To solve for x, we can cross-multiply:

27 x 5000 = 150 x

Simplifying the equation, we get:

x = (27 x 5000)/150

x = 900

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Answer:

cos(35°) = 18.4/GH

GH • cos(35°) = 18.4

GH = 18.4/cos(35°) = 22.46 inches

The total net amount the supermarket owes the wholesaler for the order is $231.31.

A discount is a reduction in the price of a product or service. It is often offered by businesses to encourage customers to buy more or to make a purchase they might not otherwise make. A discount can be expressed as a percentage or a specific dollar amount, and it is usually subtracted from the original price of the item or service.

To find the total net amount the supermarket owes the wholesaler for the order, we need to first calculate the cost of each case of soup and baked beans after the 39% trade discount is applied, and then multiply those costs by the number of cases ordered.

The trade discount rate is 39%, which means the supermarket will receive a discount of 39% off the list price of each case of soup and baked beans. To calculate the cost of each case after the discount is applied, we can use the following formula:

Discounted cost = List price - (Discount rate x List price)

For the soup, the discounted cost per case is:

$18.90 - (0.39 x $18.90) = $11.51

For the baked beans, the discounted cost per case is:

$33.50 - (0.39 x $33.50) = $20.42

Now we can calculate the total net amount owed by the supermarket to the wholesaler:

Total net amount = (Number of cases of soup x Cost per case) + (Number of cases of baked beans x Cost per case)

Total net amount = (13 x $11.51) + (4 x $20.42)

Total net amount = $149.63 + $81.68

Total net amount = $231.31

Therefore, the total net amount the supermarket owes the wholesaler for the order is $231.31.

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Answer:

Step-by-step explanation:

To determine the most you should pay for the annuity, you can use the present value formula for an annuity.

PV = C * [(1 - (1 + r)^(-n)) / r]

where PV is the present value, C is the annual cash flow, r is the interest rate, and n is the number of periods.

In this case, C is $1,000, r is 6%, and n is 5 years. Plugging these values into the formula, we get:

PV = $1,000 * [(1 - (1 + 0.06)^(-5)) / 0.06]

PV = $4,212.10

Therefore, the most you should pay for the annuity is $4,212.10. If you pay more than this amount, you would be better off investing your money elsewhere at a 6% interest rate.

Answer:

6 years = $22,536.50

12 years = $25,394.69

18 years = $28,615.38

Step-by-step explanation:

The find the value of the investment after the given number of years, first create an equation for A in terms of t using the compound interest formula.

[tex]\boxed{\sf A=P\left(1+\frac{r}{n}\right)^{nt}}[/tex]

where:

Given values:

Substitute the given values into the formula to create an equation for the value of the investment, A, in terms of time in years, t:

[tex]\implies \sf A=20000\left(1+\dfrac{0.02}{2}\right)^{2t}[/tex]

[tex]\implies \sf A=20000\left(1+0.01\right)^{2t}[/tex]

[tex]\implies \sf A=20000\left(1.01\right)^{2t}[/tex]

[tex]\hrulefill[/tex]

To find the value of the investment after 6 years, substitute t = 6 into the equation:

[tex]\implies \sf A=20000\left(1.01\right)^{2\cdot 6}[/tex]

[tex]\implies \sf A=20000\left(1.01\right)^{12}[/tex]

[tex]\implies \sf A=20000(1.12682503...)[/tex]

[tex]\implies \sf A=22536.5006026...[/tex]

Therefore, the value of the investment after 6 years is $22,536.50 rounded to the nearest cent.

[tex]\hrulefill[/tex]

To find the value of the investment after 12 years, substitute t = 12 into the equation:

[tex]\implies \sf A=20000\left(1.01\right)^{2 \cdot 12}[/tex]

[tex]\implies \sf A=20000\left(1.01\right)^{24}[/tex]

[tex]\implies \sf A=20000\left(1.2697346...\right)[/tex]

[tex]\implies \sf A=25394.69297...[/tex]

Therefore, the value of the investment after 12 years is $25,394.69 rounded to the nearest cent.

[tex]\hrulefill[/tex]

To find the value of the investment after 18 years, substitute t = 18 into the equation:

[tex]\implies \sf A=20000\left(1.01\right)^{2\cdot 18}[/tex]

[tex]\implies \sf A=20000\left(1.01\right)^{36}[/tex]

[tex]\implies \sf A=20000\left(1.43076878...\right)[/tex]

[tex]\implies \sf A=28615.37567...[/tex]

Therefore, the value of the investment after 18 years is $28,615.38 rounded to the nearest cent.

The y-intercept of the line, which is represented by the point (0,70) on the line of fit, indicates that a student who performs no studying is expected to receive a grade of 70%.

The angle of inclination of a linear or a segment of a line that connects two points is measured in mathematics as slope. Its definition is the ratio of the rise, which is the vertical difference between two points, to the run, which is the horizontally change between those same two sites. The letter "m" is frequently used to represent slope. Although a negative slope denotes a downhill incline, a positive slope denotes an upward incline.

given

The line of fit has a slope of 10. This means that a student's projected test grade rises by 10% for every additional hour they spend studying.

In other words, there is a positive linear relationship between a student's test score and the amount of time they spend studying.

The slope of the line measures the expectation that students who study more would perform higher on the test.

The y-intercept of the line, which is represented by the point (0,70) on the line of fit, indicates that a student who performs no studying is expected to receive a grade of 70%.

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Yes, the player earned 67 points from Level 2 to Level 4 and 69 points from Level 3 to Level 5.

Given that: A student claims that the graph shows the player earned more points from Level 2 to Level 3 than from Level 4 to Level 5.

Let's examine the line graph:

At level 2 the point is 45 and at level 4 the point is 112. Thus, the points earned moving from Level 2 to Level 4 will be:

= 112 - 45

= 67

At level 3 the point is 112 and at level 5 the point is 156. Thus, the points earned moving from Level 4 to Level 5 will be:

= 156 - 87

= 69

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