Point D is the centroid of ABC, BD = 4x + 2 and DF = 3r. Find the value of x

Shaniece is expected to select a lime chew about 505 times in the next 1200 selections.

Based on the given results, Shaniece selected a lime chew 24 times out of 57 selections. To estimate the expected number of times she would select a lime chew in the next 1200 selections, we can use the proportion of lime chews selected in the first 57 selections:

The proportion of lime chews selected = 24/57

To estimate the expected number of lime chews in the next 1200 selections, we can multiply the proportion by the total number of selections:

expected number of lime chews in the next 1200 selections = (24/57) x 1200

The expected number of lime chews in the next 1200 selections = 505.263

Rounding to the nearest whole number, we would expect Shaniece to select a lime chew about 505 times in the next 1200 selections.

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The system of two equations can be represented as y = 10x + 40 and

y = 12x + 28.

The system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution if a system of equations only has two linear equations with two variables.

Because there are only three possible methods to graph two straight lines in the plane, there are only three matching forms of solution for a given system of equations.

Let, 'x' represent the number of days and 'y' represent the total cost.

Plan A can be represented as y = 10x + 40.

And, PlanB be can be represented as y = 12x + 28.

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The area of the field is 2.384 hectares and price of the field is $28,608

The area of a quadrilateral given its sides and the diagonal:

Area = 1/4 × √[4s^2d^2 - (b^2 + d^2 - a^2 - c^2)^2]

where s = (a + b + c + d)/2 is the semi perimeter,

a, b, c, d are the lengths of the sides

d is the length of the diagonal.

Substituting the given values,

s = (80 + 150 + 120 + 250)/2

= 300

a = 80, b = 150, c = 120,

d = √(250^2 + 80^2)

= 259.8076

Area = 1/4 × √[4(80+150+120+250)^2*(259.8076)^2 - (80^2 + 259.8076^2 - 150^2 - 120^2)^2]

≈ 23844.17 square meters

To convert square meters to hectares, we divide by 10,000:

Area = 23844.17 / 10,000 hectares

≈ 2.384 hectares

Therefore, the area of the field is approximately 2.384 hectares.

The price of the field = 12,000/hectare,

Total price = 2.384 hectares × $12,000/hectare

= $28,608

Therefore, the price of the field is $28,608.

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If the equation describes the situation is 2x + 40 = 62, then the variable x represents the option (D) number of push ups Noah does

The given statements are

Diego does twice as many push ups as Noah

Therefore, if Noah does x push ups Diego does 2x push ups

Number of jumping jacks that Diego does = 40

Total number of exercises that he does = 62

The linear equation that represents the situation is

2x + 40 = 62

From the given equation

2x = 62 - 40

2x = 22

x = 22/2

x = 11

Here we can see that x is the number of push ups Noah does and 2x is the number of push ups Diego does

Therefore, the variable x is the number of push ups Diego does

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The area of the side panel of the stairway is 360 square inches.

The side panel of the stairway is essentially a right triangle with the three steps forming the three horizontal segments (treads) and the three risers forming the three vertical segments (risers).

The height of the side panel would be the total height of the three risers, which is -

3 risers x 8 inches/riser = 24 inches

The length of the side panel would be the total length of the three treads, which is -

3 treads x 10 inches/tread = 30 inches

Now, we can calculate the area of the side panel using the formula for the area of a right triangle:

Area = (base x height)/2

we have the base as the length of the side panel (30 inches) and the height is the total height of the three risers (24 inches).

Substituting these values into the formula we get,

Area = (30 inches x 24 inches)/2

Area = 360 square inches

Therefore, the area of the side panel of the stairway is 360 square inches.

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[tex]40(x )+6( 1.5x) = 612.5[/tex]

So C.

B:

49x=612.5

x=12.5$

The correlation of 0.5 indicates that the data points are not perfectly related - there is some degree of variation, which could be caused by a number of factors. If some data points have significantly different values than others, they can reduce the overall correlation.

Alternatively, the data could also have other confounding variables, such as additional features that are not considered in the linear relationship between x and y. These additional variables could also reduce the correlation, as they introduce noise into the analysis. In either case, the correlation of 0.5 could be due to the presence of outliers and/or confounding variables.

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The simplest form of the fraction equivalent to 0.7 is 7/10

A fraction is a part of a whole number, and a way to split up a number into equal parts.

Given that, to show the denominator of the fraction in the simplest form that is equal to 0.7

To convert 0.7 into a fraction, we have to write it in p/q form, where p and q are positive integers.

we can write .7 as 0.7/1

now to remove the decimal point we will multiply and divide by 10

therefore,

0.7/1 ×  10/10  = 7/10

Hence, the simplest form of the fraction equivalent to 0.7 is 7/10

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The graph of the equation of function f (x) = 3 log₂ (x + 1) is shown in figure.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The equation of function is,

⇒ f (x) = 3 log₂ (x + 1)

Now, By using tool we can draw the graph of the equation of function

f (x) = 3 log₂ (x + 1) as shown in figure.

Thus, The graph of the equation of function f (x) = 3 log₂ (x + 1) is shown in figure.

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The 5th term of the arithmetic sequence is a₅ = 9/20

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the first term of the AP a₁ = 1/4

The second term of the AP is a₂ = 3/10

So , the common difference is d = 3/10 - 1/4 = 1/5

Now , the arithmetic progression will be

The 5th term of the AP a₅ = a + ( n - 1 ) d

Substitute the values in the equation , we get

The 5th term of the AP a₅ = 1/4 + ( 5 - 1 ) ( 1/5 )

On simplifying the equation , we get

The 5th term of the AP a₅ = 1/4 + 4/5

The 5th term of the AP a₅ = 9/20

Hence , the 5th term of the AP 9/20

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At its earliest stages, a logistic growth curve closely resembles an exponential growth curve - True

It is true that at its earliest stages, a logistic growth curve closely resembles an exponential growth curve.

The logistic growth curve shows the logistic population growth rate, the logistic growth curve on a line graph is similar to a S-shaped and it's observed that there is a slow increase, rapid population growth, and finally, the reduction in the growth.

On the other hand, the exponential growth curve is a J-shaped curve that shows us that there is a rapid and consistent or steady growth in the population over the duration of a specific period.

It could be said that an exponential growth curve is opposite of a slow and steady success.

Both the curve start along with the same pattern but with time gradually change their constrain over the graph.

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Answer: octagon

Step-by-step explanation:

Answer:

Step-by-step explanation:

No. c will be decagon because it has 10 sides

Let b be the initial number of boys, and let g be the initial number of girls. We know that the total number of students at the canteen is 342, so:

b + g = 342

After 51 boys and an equal number of girls returned to their classroom, there were three times the number of boys than girls in the canteen. This means that the number of girls remaining in the canteen is:

g - 51

And the number of boys remaining in the canteen is:

b - 51

Since there were three times as many boys as girls, we can write:

b - 51 = 3(g - 51)

Now we have two equations and two unknowns. We can solve for one variable in terms of the other in the first equation, and substitute into the second equation:

b + g = 342

g = 342 - b

b - 51 = 3(g - 51)

b - 51 = 3(342 - b - 51)

b - 51 = 3(291 - b)

b - 51 = 873 - 3b

4b = 924

b = 231

So there were 231 boys in the canteen at first. To check our answer, we can substitute into the first equation:

b + g = 342

231 + g = 342

g = 111

Therefore, there were 231 boys and 111 girls in the canteen at first.

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The rate of change in candies sold per month can be found by finding the slope of the line that goes through the two points (4, 2) and (6, 8). The slope of a line can be found by using the formula:

slope = (y2 - y1) / (x2 - x1)

Plugging in the values from the two points, we have:

slope = (8 - 2) / (6 - 4) = 6 / 2 = 3

So the rate of change in candies sold per month is 3. This means that the number of candies sold is increasing by 300 (3 * 100) per month. Therefore, the answer is B) 300.

The point of intersection of two lines implies a system has one solution, therefore, Darnell should conclude that: B. there is exactly one solution to the system of equations.

If the two lines in a system of equations intersect when graphed, then there is exactly one solution to the system of equations. This is because the point of intersection represents the values of the variables that satisfy both equations simultaneously.

If the two lines in a system of equations are parallel and do not intersect when graphed, then there are no solutions to the system of equations. If the two lines are the same and coincide when graphed, then there are infinitely many solutions to the system of equations.

Therefore, Darnell should conclude that: B. there is exactly one solution to the system of equations.

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The probability of a player spinning the color green and then rolling an even number is 1/12.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Spinner:

= {red, purple, blue, green, white, orange}

Cube:

= {1, 2, 3, 4, 5, 6}

Now,

The sample space of spinning and rolling a cube.

= {red, purple, blue, green, white, orange} x {1, 2, 3, 4, 5, 6}

The number of outcomes.

= 6 x 6

= 36

Now,

The outcome of spinning a green and an even number.

= (green, 2), (green, 4), (green, 6)

Number of outcomes = 3

Now,

The probability of a player spinning the color green and then rolling an even number.

= 3/36

= 1/12

Thus,

The probability of a player spinning the color green and then rolling an even number is 1/12.

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Answer: Answer: c.)four hundred thirty-three and one-eighth ft2

Step-by-step explanation:

To find the area of a parallelogram, we use the formula A = b x h, where b is the base and h is the height. Inserting the given values, we have

A = 22.5 ft x 19.25 ft = 433.125 ft2

Therefore, the area of the parallelogram is four hundred thirty-three and one-eighth ft2.

The area of the parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet is four hundred thirty-three and one-eighth ft²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

A parallelogram with a base of 22 and one-half feet and a height of 19 and one-fourth feet.

Now, We know that;

Area of a parallelogram = Base × Height

Substitute the given values, we get;

⇒ Area of a parallelogram = Base × Height

⇒ Area of a parallelogram = 22 1/2 × 19 1/4

⇒ Area of a parallelogram = 45/2 × 77/4

⇒ Area of a parallelogram = 3465/8

⇒ Area of a parallelogram = 433 1/8 ft²

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Answer: no exact answer

Step-by-step explanation:

The percentage of people with blood pressure between 115 and 165 mm is 68.27% (closest to option e). The percentage of people with blood pressure between 140 and 165 mm is 89.4% (closest to option b). The percentage of people with blood pressure over 165 mm is 10.6% (closest to option a).

To solve this problem, we can use the properties of the normal distribution, which is a continuous probability distribution that is often used to model real-world data. In particular, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the percentages of people with blood pressure within certain ranges. The empirical rule states that, for a normal distribution:

Approximately 68% of the data falls within one standard deviation of the mean. Approximately 95% of the data falls within two standard deviations of the mean. Approximately 99.7% of the data falls within three standard  deviations of the mean. Using this rule, we can estimate the following  percentages: The percentage of people with blood pressure between 115 and 165 mm: First, we need to find the z-scores for the lower and upper limits of the range: z_lower = (115 - 140) / 20 = -1.25.

z_upper = (165 - 140) / 20 = 1.25

We can then use a standard normal distribution table or a calculator to find the areas under the curve corresponding to these z-scores:

P(-1.25 < Z < 1.25) = 0.7887 - 0.1056 = 0.6831

So, approximately 68.31% of people have blood pressure between 115 and 165 mm.

The percentage of people with blood pressure between 140 and 165 mm: In this case, the lower limit is equal to the mean, so we only need to find the z-score for the upper limit: z_upper = (165 - 140) / 20 = 1.25

Using the same approach as before, we get:

P(Z < 1.25) = 0.8944

So, approximately 89.44% of people have blood pressure between 140 and 165 mm. The percentage of people with blood pressure over 165 mm:

In this case, we only need to find the area to the right of the upper limit:

P(Z > 1.25) = 0.1056

So, approximately 10.56% of people have blood pressure over 165 mm.

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Complete Question

The blood pressure in millimeters was measured for a large sample of people. The average pressure is 140 mm, and the SD of the measurements is 20 mm. The histogram looks reasonably like a normal curve. Use the normal curve to estimate the following percentages. Choose the answer that is closest to being correct.

a. 10.6%

b. 89.4%

c. 39.4%

d. 78.8%

e. 68.27%

___ The percentage of people with blood pressure between 115 and 165 mm.

___ The percentage of people with blood pressure between 140 and 165 mm.

___ The percentage of people with blood pressure over 165 mm.

melody had 120 stamps.

and she gave Jeremy 30 stamps .

so she had 90 stamps now.

after she gave Jeremy 30 stamps,she had twice as much as him.

so 90 is 45+45 .other way 45 is half of 90.

so Jeremy had 45 stamps now.

they have altogether 90+45=135 stamps.

the answer is 135

By creating and solving an algebraic equation, we learn that Jeremy started with 60 stamps and Melody started with 180 stamps. Therefore, they originally had 240 stamps combined.

We'll use algebra to solve this. Let's let Jeremy's number of stamps be represented by J. According to the information, Melody had 120 more stamps than Jeremy before she gave him 30, so she had J + 120 stamps. After transferring the 30 stamps, she has J + 120 - 30 stamps, which simplifies to J + 90 stamps. According to the problem, this amount is twice the amount Jeremy has after receiving the 30 stamps (J + 30). So, we can set up this equation: 2(J + 30) = J + 90.

Solving this equation gives J = 60. That means Jeremy started with 60 stamps. Therefore, Melody started with 60 + 120 = 180 stamps. The total number of stamps both had originally is 60 + 180 = 240 stamps.

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The values of x which have a mean time no greater than 120 seconds is 1

The mean (means the arithmetic mean, different from the geometric mean) of a data value is the sum of all values divided by the total number of values.

The most commonly used measure of central tendency and referred to as the “average.”

We are given that;

Time =120sec

Table

118 129 120 114 x

Now,

The mean value of the table entry;

Mean=(118+ 129+ 120+ 114+ x)/5

Mean= 481+x/5

481+x/5<120

481+x<600

x<119

Therefore, the values by the mean will not be grater than 120 will be 1

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If G is the midpoint of EH, FG= GI, then triangle EFG= triangle HIG

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

Given G is the midpoint of EH,

FG≅ GI,

We need to Prove triangle EFG= triangle HIG

∠E and ∠H are right angles, FG≅ GI from given.

∠E≅  ∠H from given

G is midpoint of EH from given

EG≅ GH by definition of congruent triangles.

triangle EFG≅ triangle HIG by SAS congruence postulate.

Hence, if  G is the midpoint of EH, FG= GI, then triangle EFG= triangle HIG

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Answer:

156

Step-by-step explanation:

6(2×3+5×4)

6(6+20)

6×26

156

another way

6(2x+5y)

12x+30y

12×3+30×4

36+120

156

If the sales tax rate is 6% and if Sally buy rowboat priced at $842, the amount of tax she will pay,  $50.52

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

To calculate the sales tax on the purchase of a sailboat priced at $842 with a sales tax rate of 6%, you can follow these steps:

1. Convert the sales tax rate from a percentage to a decimal by dividing by:

= 100: 6% ÷ 100

= 0.06.

2. Multiply the price of the sailboat by the sales tax rate to find the amount of tax:

= $842 × 0.06

= $50.52.

Therefore, Sally will pay $50.52 in sales tax for the purchase of the sailboat.

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we can pour no more than 541 cheerios into the bowl while maintaining a density of no more than 0.3 cheerios per square inch.

What is rectangle ?

Rectangle can be defined in which the opposite sides are equal and area of rectangle is product of length and breadth.

Given ,

I poured a bowl of cereal in a Tupperware container with the following dimensions (L=9 in, w=6 in, h=3). I want no more than a density of 0.3 cheerios per sq in in my "bowl."

We can start by calculating the surface area of the Tupperware container, which is equal to 2 times the sum of the area of the base and the area of the two rectangular sides:

Area of base = Length * Width = 9 in * 6 in = 54 in²

Area of two rectangular sides = Height * Length = 3 in * 9 in = 27 in²

Surface area = 2 * (54 in² + 27 in²) = 2 * 81 in² = 162 in²

Next, we can find the maximum number of cheerios that can be poured into the bowl by dividing the surface area by the maximum allowed density of 0.3 cheerios per square inch:

Maximum number of cheerios = Surface area / Maximum allowed density = 162 in² / 0.3 cheerios/in² = 541 cheerios

Hence, we can pour no more than 541 cheerios into the bowl while maintaining a density of no more than 0.3 cheerios per square inch.

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Distributive property is expressed as:

Apply this to the given expression and simplify

List of perfect squares smaller than 10 are: {1, 4, 9}

Subtract 1 from each value to get a new list of {0, 3, 8}

None of these new values are a factor of 12.

The possible answers are: 0, 3, and 8