the midpoint of x and 27 is -3. What is x?

As we know that perimeter of a shape is the sum of all it's boundaries. Also , let assume that the missing side be y . So ,here ;

\({:\implies \quad \sf (4x-4)+(3x+1)+y=13x-8}\)

\({:\implies \quad \sf 4x-4+3x+1+y=13x-8}\)

\({:\implies \quad \sf y+7x-3=13x-8}\)

\({:\implies \quad \sf y=13x-8-7x+3}\)

Collecting like terms :

\({:\implies \quad \sf y=(13x-7x)+(-8+3)}\)

\({:\implies \quad \bf \therefore \quad \underline{\underline{y=6x-5}}}\)

Hence , the length of Missing side is 6x-5

Given:

To find:

The smallest integer value x can have.

Explanation:

Let us write the solution set first.

The solution set for the given inequality is,

From the set,

We observe that the smallest integer value is 11.

Final answer:

The smallest integer value is 11.

The research proposal focuses on investigating the determinants of the sustainability of small and medium-sized enterprises (SMEs) in Soweto. The research objectives are to determine the sustainability of SMEs, identify the factors that contribute to their sustainability, and provide practical recommendations to enhance their sustainability.

1.1 The research proposal addresses the "what" by examining the determinants of SME sustainability in Soweto. It focuses on "who" by targeting owner-managers of SMEs in Soweto. The "why" is to understand the factors that influence SME sustainability. The "where" is in Soweto, South Africa, and the "when" refers to the time period during which the research will be conducted.

1.2 The aim of the proposed study is to explore and analyze the determinants of sustainability for small and medium-sized enterprises in Soweto, with the ultimate goal of providing practical recommendations to enhance their sustainability.

1.3 Three research questions for the proposed study could be:

What are the key indicators of sustainability for SMEs in Soweto?

What factors contribute to the sustainability of SMEs in Soweto?

How can owner-managers of SMEs in Soweto improve the sustainability of their businesses?

1.4 An appropriate research design for the proposed study could be a mixed-methods approach. This design would involve both quantitative and qualitative data collection and analysis methods. Quantitative data could be collected through surveys or questionnaires to measure indicators of sustainability and assess the relationship between various factors. Qualitative data could be collected through interviews or focus groups to gain a deeper understanding of the experiences and perspectives of owner-managers. The mixed-methods approach would provide a comprehensive and holistic understanding of the determinants of SME sustainability in Soweto and enable practical recommendations to be formulated based on both quantitative and qualitative insights.

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This code will print the probability, which is 0.15. the probability that a student is both a junior and does not plan to attend the prom.

Let's say that 50% of the students surveyed are juniors and 30% of the students surveyed do not plan to attend the prom. We are interested in the probability that a student is both a junior and does not plan to attend the prom.

P(junior and does not plan to attend prom) = 0.5 * 0.3 = 0.15

Therefore, the probability that a surveyed student is a junior and does not plan to attend the prom is 15%.

Here is the Python code to calculate the probability:

Python

def probability(junior, no_prom):

 """

 Calculates the probability of a student being a junior and not planning to attend the prom.

 Args:

   junior: The probability that a student is a junior.

   no_prom: The probability that a student does not plan to attend the prom.

 Returns:

   The probability that a student is both a junior and does not plan to attend the prom.

 """

 return junior * no_prom

def main():

 junior = 0.5

 no_prom = 0.3

 probability = probability(junior, no_prom)

 print(probability)

if __name__ == "__main__":

 main()

This code will print the probability, which is 0.15.

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Answer:

Step-by-step explanation:

\(y-y_1=m(x-x_1)\)     - point-slope form of Equation of the Line

\(y - 4 = (x - 1)\implies\ \ m=1\,,\ x_1=1\,,\ y_1=4\)

Answer:

M=1/2 AND 1/4

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

30x3.165 is 94.950 she will be just short of 100

In order to have negative correlation between two variables the covariance must be negative.

What is correlation?

The degree to which two variables are linearly related is expressed by the statistical concept of correlation (meaning they change together at a constant rate). It is a typical technique for outlining straightforward connections without stating cause and effect.

The correlation between two variables x and y is,

\(r = \frac{Cov(x, y)}{S_x*S_y}\)

where,

Cov(x, y) is the covariance between x and y.

\(S_x\) and \(S_y\) respectively denotes the standard deviation of x and y.

If the correlation is negative then  r < 0.

Now r < 0

\(\frac{Cov(x, y)}{S_x*S_y} < 0\\Cov(x, y) < 0\\Sx > 0, S_y > 0\)

If r < 0 the Cov(x, y) < 0.

In order to have negative correlation between two variables the covariance must be negative.

Hence, in order to have negative correlation between two variables the covariance must be negative.

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Answer:

quadrant 3

Step-by-step explanation:

Answer:

Quadrant 3 (✿◠‿◠)

ANSWER: dA/dt=0.17A A(0)=950

The correct differential equation and initial condition for the continuous compounding of a sum of 950$ at 17% interest are given by dA/dt = 0.17A and A(0) = 950. This represents the rate of change of the amount A(t) with respect to time and the initial investment value, respectively.

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Answer:

b

Step-by-step explanation:

Answer:

$386 is the answer there is no explanation just divide $2316/6 this equals answer

Answer:

salary after 10: 66,000$

Step-by-step explanation:

43,000 + 2,500 x 10

Answer:

Salary after 10 years: 68000

Salary after t years: 25000

Step-by-step explanation: i just did it and got it right

The two diameters that separate the middle 80% of the distribution are approximately 5.1996 millimeters and 5.1996 millimeters.

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviation of 0.07 millimeters. We want to find the two diameters that separate the middle 80% of the distribution.

To find the two diameters, we need to calculate the z-scores corresponding to the upper and lower percentiles of the distribution. The z-scores represent the number of standard deviations an observation is away from the mean.

First, let's find the z-score for the lower percentile. The lower percentile is (100% - 80%)/2 = 10%, which corresponds to a cumulative probability of 0.10. We can use the standard normal distribution table or a calculator to find the z-score associated with a cumulative probability of 0.10.

Using the z-score table, we find that the z-score corresponding to a cumulative probability of 0.10 is approximately -1.28.

Next, let's find the z-score for the upper percentile. The upper percentile is 100% - 10% = 90%, which corresponds to a cumulative probability of 0.90. Again, using the z-score table, we find that the z-score corresponding to a cumulative probability of 0.90 is approximately 1.28.

Now, we can calculate the two diameters using the z-scores:

Lower diameter:

Lower diameter = mean - (z-score * standard deviation)

Lower diameter = 5.11 - (-1.28 * 0.07)

Lower diameter ≈ 5.11 + 0.0896

Lower diameter ≈ 5.1996 millimeters

Upper diameter:

Upper diameter = mean + (z-score * standard deviation)

Upper diameter = 5.11 + (1.28 * 0.07)

Upper diameter ≈ 5.11 + 0.0896

Upper diameter ≈ 5.1996 millimeters

Therefore, the two diameters that separate the middle 80% of the distribution are approximately 5.1996 millimeters and 5.1996 millimeters.

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.11 millimeters and a standard deviation of 0.07

millimeters. Find the two diameters that separate the top 9% and the bottom 9%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.

Answer:

c = -22, 22

Step-by-step explanation:

\( {(x - 11)}^{2} = {x}^{2} - 22x + 121\)

\( {(x + 11)}^{2} = {x}^{2} + 22x + 121\)

Answer:

Option B: \((x + 6)^2\)

Step-by-step explanation:

Hello!

We can simply expand each option to find which one matches the trinomial \(x^2 +12x + 36\)

It does not match.

Option B matches, so it is the right solution.

The area of ​​the rectangle will grow at a rate of 100 square inches per second if the width of the rectangle is 10 inches.

let the width w  of the rectangle is 1 inch and the length of the rectangle is "2w" inches.

The area of ​​the rectangle is given by

A = length x width = (2w)(w) =\(2w^2\) square inches if the width of the rectangle is 10 inches

To find out how fast the area of ​​a rectangle is changing, we need to differentiate the area over time.

dA/dt =\(d/dt (2w^2)\) = 4w(dw/dt)

where dw/dt is the rate of change in width.

as the length of the rectangle is increasing at a rate of 5 inches/second.

d(2w)/dt = 5 inches/second

Simplifying the above formula to:

2(dw/dt) = 5 inches/second

dw/dt = 5/2 inch/second

If the rectangle is 10 inches wide, then:

w = 10 inches

dw/dt = 5/2 inch/second

Substitute these values ​​into the formula for dA/dt.

dA/dt = 4w(dw/dt) = 4(10)(5/2) = 100 square inches per second

therefore, if the width of the rectangle is 10 inches, the area of ​​the rectangle will grow at a rate of 100 square inches per second. 

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The measure of <B is 61 degree.

length of arc CD = 20.859 unit and length of are BD =​ 22.4118 unit.

First, using Angle sum property in triangle DCB

<D + <C + <B = 180

49 + 70 + <B= 180

<B = 180 - 119

<B = 61 degree

Now, using sine law

CB / sin 49 = BD / sin 70

18 / 0.75470958022 = BD / 0.93969262078

BD = 22.4118

and, 18 / 0.75470958022 = CD / 0.87461970713

CD = 20.859

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Answer: Three sides of a right triangle are the lengths of its legs and the length of its hypotenuse.

To know that three given sides will create a right triangle, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs. Symbolically, if a, b, and c are the lengths of the sides of a right triangle, with c being the hypotenuse, then:

c^2 = a^2 + b^2

Therefore, if we are given the lengths of three sides, we can square the lengths of the legs, add them together, and then take the square root to find the length of the hypotenuse. We can then compare the squared length of the hypotenuse to the sum of the squares of the legs. If they are equal, the three sides form a right triangle. If the squared length of the hypotenuse is greater than the sum of the squares of the legs, the three sides form an obtuse triangle. If the squared length of the hypotenuse is less than the sum of the squares of the legs, the three sides form an acute triangle.

Step-by-step explanation:

A z-score of -2 indicates that the sample mean does not occur very often by chance in the sampling distribution of means and probably did not come from the given population.

To answer this question, we need to calculate the z-score of the sample mean. The formula for the z-score is (sample mean - population mean) / standard error.

Plugging in the values given, we get:

z = (80 - 100) / 10 = -2

A z-score of -2 indicates that the sample mean is 2 standard errors below the population mean.

Based on this information, we can conclude that the sample mean does not occur very often by chance in the sampling distribution of means, and probably did not come from the given population.

This is because the z-score is beyond the typical range of values we would expect to see if the sample mean came from the population.

In this case, you have a random sample with a mean of 80, while the population mean is 100, and the standard error is 10.

To calculate the z-score, use the formula: (sample mean - population mean) / standard error, which is (80-100)/10 = -20/10 = -2.

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The total number of visitors to the zoo that day=3980.

Given:

cost of each ticket for an adult=$25

cost of each ticket for an adult=$10

Total ticket sales one day=$47,750.

⇒$25+$10=47,750

⇒25+10=47,750-----(1)

Also,

c=6a+270

6a-c=-270------(2)

multiplying eq(2) with 10 we get:

60a-10c=-2700----(3)

Adding eq(1) and eq(3) we get

25a+10c=47,750

60a-10c=-2700

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

85a=45050

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

To calculate a value just divide 45050 by 85 we get

a=45050/85

a=530

Now to get the value of c substitutes a value.

c=60(530)+270

c=3450

Number of Adult visitors=530

Number of children visitors=3450

Total Number of visitors=3980.

Therefore, the total number of visitors to the zoo that day=3980.

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Answer:

5 Kg of apples

Step-by-step explanation:

cost of apples per kg = 24000.00/3

=8000.00

amount of apples bought = 40000.00/8000.00

=5 Kg

He got 5kg of apples with Rp.40,000.00

Answer:

15,300 ft or 2.9 miles

Step-by-step explanation:

Distance = Rate * Time (but rate and time must be in the same units)

convert hours to minutes

1 hr * 60 min/hr = 60 min

then

D = 255 ft/min * 60 min

D = 15,300 ft

if you want miles, convert ft to miles (5280 ft per mile)

15,300 ft * 1 mi/5280 ft

2.9 mi

Answer:

E=(7.25h)+2m

Step-by-step explanation:

h is the number of hours worked and we know Joanne earned 7.25 per hour so we have 7.25h, every hour she earns 7.25. M is the number of miles She drives and we know she is paid 2 for every mile so 2m. E is the total amount she earns so it is equal to everything else

Answer:

The volume would be 3,421.19m

To determine the composition of transformations that maps figure efgh to figure efgh, we need to first identify the transformations involved.

A transformation is a change in position, size, or shape of a figure. In this case, we can see that figure efgh has not changed in size or shape, so the transformation must involve a change in position.

One possible transformation that could be involved is a translation, which involves moving the figure along a straight line without changing its size or shape. Another possible transformation is a rotation, which involves turning the figure around a fixed point.

To find the composition of transformations that maps figure efgh to itself, we need to experiment with different combinations of translations and rotations until we find one that works. For example, we could first rotate the figure 90 degrees clockwise around its center, and then translate it 2 units to the right and 3 units up. This composition of transformations would move figure efgh to a new position, but still maintain its size and shape.

Alternatively, we could first translate the figure 2 units to the right and 3 units up, and then rotate it 90 degrees counterclockwise around its center. This would also result in a new position for the figure, but with the same size and shape as the original.

In conclusion, there are multiple compositions of transformations that could map figure efgh to itself, including combinations of translations and rotations. It is important to experiment with different options and test them to ensure that they maintain the size and shape of the figure.

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Answer:

Every month, the number of tigers decays by a factor of 0.97

Step-by-step explanation:

khan academy!

Every month, the number of tigers decays by a factor of 0.97.

We have given that,

Simone is an ecologist who studies the change in the tiger population of Siberia over time.

An exponential function is a type of function in math that involves exponents. A basic exponential function is of the form f(x) = b^x, where b > 0 and b ≠ 1.

The relationship between the elapsed time t, in years, since Simone started studying the population, and the number of tigers, N(t) year ​ right parenthesis, is modeled by the following function: N year(t)=612⋅(2/3)^t

We have to determine to Complete the following sentence about the monthly rate of change in the tiger population.

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The distance between the points (3,-3) (3,5) is 8, according to the definition of distance

The distance between two points is equal to the length of the segment that joins them.

Given the coordinates of two different points (x₁, y₁) and (x₂,y₂), the expression that allows calculating the distance "d" between two different points is the squares of the differences between their coordinates and then find the root of the sum of said squares.

d= √[(x₂ - x₁)² + (y₂ - y₁)²]

In this case, you know:

Substituting in the definition of distance:

d= √[(3 -3)² + (5 - (-3))²]

Solving:

d= √[0² + (5 +3)²]

d= √[0² + 8²]

d= √8²

d= √64

d= 8

Finally, the distance is 8.

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The coordinates of point P along AB so that the ratio of AP to PB is 3 to 1 is (4,13).

A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.

Given that the ratio of the two lines is 3:1, therefore, we can write,

m:n = 3:1

Also, the coordinate of the endpoints of the line are,

A = (x₁, y₁) = (1, 7)

B = (x₂, y₂) = (5, 15)

Now, Using the Section formula the coordinate of the point P can be written as,

\(P = (\dfrac{mx_2+nx_1}{m+n}\ , \dfrac{my_2+yx_1}{m+n})\\\\P = (\dfrac{3(5)+1(1)}{4}\ , \dfrac{3(15)+1(7)}{4})\\\\P = (4, 13)\)

Hence, the coordinates of point P along AB so that the ratio of AP to PB is 3 to 1 is (4,13).

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The variety of nonrandom sampling that takes proportions into consideration is: c) quota

Quota sampling is the variety of nonrandom sampling that takes proportions into consideration. In quota sampling, the researcher selects a specific number of participants from each subgroup of the population based on their proportion in the overall population. This ensures that the sample represents the different subgroups in the population proportionately.

In quota sampling, the researcher selects participants based on specific characteristics or proportions to ensure that the sample represents the target population accurately. The researcher sets quotas for different groups or segments based on known proportions or desired representation in the population.

For example, if a population consists of 60% males and 40% females, a quota sample might be designed to include the same proportions of males and females. The researcher would continue to select participants from each group until the quotas are met.

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Answer:pour some milk on it so you dont gotta do it

Step-by-step explanation:

Ur teacher will kick you out of the class and try drying the paper but ends up throwing it away