A field is shaped like a trapezoid with the dimensions shown in the image.
7.2 meters
13.4 meters
There are 320 laying hens living in this field. What is the bird population density?
A Approximately 4 hens per square meter
More than 5 hens per square meter
c. Approximately Sens per square meter
Less than 2 hens per square meter
B
D
10.6 meters

Sometimes, the relationship between the variables doesn't stay the same. This type of relation is called a piecewise linear relationship. The graph of a piecewise linear relationship is made of non-overlapping segments of straight lines, like this one.

In a relationship between two variables, the pattern of their connection can change as one or both of the variables change. When the pattern changes, it means that the relationship between the two variables does not stay consistent or linear throughout.

A piecewise linear relationship is a relationship between two variables that consists of non-overlapping parts, where each part is represented by a straight line on a graph. This means that for certain intervals of the variables, the relationship is linear, but for other intervals, the relationship is different.

For example, consider a piecewise linear relationship between a person's income and the tax rate they pay. If their income is below a certain threshold, they might pay a lower tax rate, but if their income exceeds the threshold, they might pay a higher tax rate. In this case, the relationship between income and tax rate is not consistent throughout, and it can be represented by a piecewise linear function with a breakpoint at the income threshold.

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Answer:

c.) 28

Step-by-step explanation:

I hope this helped. I know it probably doesn't. But I hope you get the question right. And I am sorry if you get it wrong.

\(\boxed{\underline{\bf \: ANSWER}}\)

\( \sf3(p - 6) + 15 = 0 \\\sf 3p - 18 + 15 = 0 \\\sf 3p - 3 = 0 \\ \sf3p = 3 \\ \sf \: p = \frac{3}{3} \\ \boxed{\bf p = 1}\)

The value of p is 1.

_______

Hope it helps.

RainbowSalt2222

\(\\ \rm\longmapsto 3(p-6)+15=0\)

\(\\ \rm\longmapsto 3p-18+15=0\)

\(\\ \rm\longmapsto 3p-3=0\)

\(\\ \rm\longmapsto 3p=3\)

\(\\ \rm\longmapsto p=\dfrac{3}{3}\)

\(\\ \rm\longmapsto p=1\)

Based on the data, the median time it takes players to complete the game is 1148 minutes.

It is the mathematical value that is the middle when values are sorted.

457 - 548- 866 - 952 - 976 - 1037 - 1148 - 1235 - 1245- 1431-1486 - 1759 - 1864

Identify the value of the middle

Considering there are 13 values, the value of the middle is the value number 7 or 1148.

Note: This question is incomplete because the data is missing, below I attached the missing section,

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Answer: the first equation would start at -10 on a graph, and go up 3 over 1. For the second equation it would still start at -10, but go up 30 over 1. The slope of equation 1 -s 3, the slope of equation 2 is 30. That is how they are different.

Step-by-step explanation:

The equation that could represent a linear combination of the system 2/3x + 5/2y = 15 and 4x + 15y = 12 is 0 = 26

Linear equations are equations that have constant average rates of change, slope or gradient

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

2/3x + 5/2y = 15

4x + 15y = 12

Multiply the first equation by 6, to eliminate the fractions.

6 * (2/3x + 5/2y = 15)

This gives

4x + 15y = 90

Subtract the equation 4x + 15y = 90 from 4x + 15y = 12

4x - 4x + 15y - 15y = 12 - 90

Evaluate the difference

0 + 0 = -78

Evaluate the sum

0 = -78

The above equation is the same equation as option (b) 0 = 26

This is so because they both represent that the system of equations have no solution

Hence, the equation that could represent a linear combination of the system is 0 = 26

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Complete question

The system of equations below has no solution.

2/3x + 5/2y = 15

4x + 15y = 12

Which equation could represent a linear combination of the system?

The one mean Z test can be used for small samples of size less than 15 when the population standard deviation is known.

The one-mean z-test is a hypothesis test that is used to test a hypothesis about the mean of a population when the population standard deviation is known, and the sample size is large (typically greater than 30).

When the sample size is small (less than 15), the one-mean z-test is not appropriate because the assumptions of the test may not be met.

When the sample size is small, we typically use a t-test instead of a z-test to test a hypothesis about the population mean.

Specifically, we use a one-sample t-test when the population standard deviation is unknown, and the sample size is small (typically less than 30).

The one-sample t-test uses a t-distribution to calculate the p-value and test the null hypothesis about the population mean.

It is important to note that the sample size of 15 is not a hard and fast rule for when to switch from the z-test to the t-test.

The decision of which test to use depends on the specific context and the assumptions of the test.

In general, if the population standard deviation is unknown and the sample size is small (less than 30), then we use the t-test. If the population standard deviation is known and the sample size is large (greater than 30), then we use the z-test.

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Answer:

AB = 9

Step-by-step explanation:

The perpendicular bisector divides Δ ABC into 2 congruent triangles, that is

Δ ABD ≅ Δ ACD , then

AB = AC = 9

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. The length of AB is 9 units.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.

Given that:

Line AD ⊥ar  bisector of BC.

BD=DC= 6 units

AC= 9 units

In △ABD and △ACD, we have

DB=DC (Given)

∠ADB=∠ADC  

(AD⊥BC)AD=AD (Common)

∴ by the SAS criterion of congruence, we have.

△ABD≅△ACD

⇒ AB=AC    (corresponding parts of congruent triangles are equal)

∴AB=AC= 9 units.

Therefore, the length of AB is 9 units.

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The estimated value of the square root of √57 is 7.5496

Square root:

Square root means inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

The square root of a natural number is a value, which can be written in the form of

y = √a.

It means ‘y’ is equal to the square root of a, where ‘a’ is any natural number.

Given,

√57

Here we need to determine the two consecutive whole numbers that it lies between. Write the two numbers and explain the process you used to select them.

To solve this one then we have to expand the given term like the following,

=> √57 = √(19 x 3)

We know that the values of

√3 = 1.732

and the value of

√19 = 4.35889

So, the value of

=> √(19 x 3) = 4.35889 x 1.732

=> 7.5496

Therefore, the value of √57 is 7.5496.

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Answer:

y =  3x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (2, 10 )

m = \(\frac{10-4}{2-0}\) = \(\frac{6}{2}\) = 3

The y- intercept c = 4

y = 3x + 4 ← equation of line

The type of sampling described, where the researchers intentionally select a sample with 50% straight and 50% LGBTQ+ respondents, is known as "disproportionate stratified sampling."

A. Disproportionate stratified sampling involves dividing the population into different groups (strata) based on certain characteristics and then intentionally selecting a different proportion of individuals from each group. In this case, the researchers are dividing the population based on sexual orientation (straight and LGBTQ+) and selecting an equal proportion from each group.

B. Availability sampling (also known as convenience sampling) refers to selecting individuals who are readily available or convenient for the researcher. This type of sampling does not guarantee representative or unbiased results and may introduce bias into the study.

C. Snowball sampling involves starting with a small number of participants who meet certain criteria and then asking them to refer other potential participants who also meet the criteria. This sampling method is often used when the target population is difficult to reach or identify, such as in hidden or marginalized communities.

D. Simple random sampling involves randomly selecting individuals from the population without any specific stratification or deliberate imbalance. Each individual in the population has an equal chance of being selected.

Given the description provided, the sampling method of intentionally selecting 50% straight and 50% LGBTQ+ respondents represents disproportionate stratified sampling.

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The probability for a data point is less than is 0.8413.

The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event.

The mean(μ)=4

Standard deviation(σ)=1

(P<5)

From the figure, standard normal distribution curve probability which we have to find P<5

It is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

P(x=4)=x-μ/σ

=4-4/1=0

P(x=4)=50%

P(x<5)=P(x=4)+P(x=1)

=50%+34.13%

=0.8413

P(x<5)=0.8413

Therefore, the probability a data point is less than 5 is 0.8413.

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Answer:

8 rotations

Step-by-step explanation:

75 inches = 1 rotation

50 feet = ? rotations

Since they are different units I would first convert 50 feet to inches. Since there are 12 inches in 1 foot, I will multiply 50 by 12 to get it in inches.

50 feet = 600 inches

Now that we have the same units (inches) we can set up a proportion and cross multiply.

[\(\frac{75}{1} = \frac{600}{x}\)

600 = 75x

Divide by 75 on both sides.

x = 8

Therefore the tire will have made 8 rotations after Frank rides 50 feet.

Hope this helps, and please mark brainliest if possible ;)

Answer:

11.181

Step-by-step explanation:

Divide each digit of the dividend with the divisor starting from left to right. Bring down the next digit after each step as shown below:

1.

0      

1 1  1 2 3 .    

− 0      

1      

Divide 1 by 11. Write the remainder after subtracting the bottom number from the top number.

2.

0 1      

1 1  1 2 3 .    

− 0      

1 2      

− 1 1      

1      

Bring down next digit 2. Divide 12 by 11. Write the remainder after subtracting the bottom number from the top number.

3.

0 1 1    

1 1  1 2 3 .    

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2    

Bring down next digit 3. Divide 13 by 11. Write the remainder after subtracting the bottom number from the top number.

4. Put the decimal point.

5.

0 1 1 . 1  

1 1  1 2 3 . 0  

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2  0  

−   1  1  

9  

−        

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 20 by 11. Write the remainder after subtracting the bottom number from the top number.

6.

0 1 1 . 1 8  

1 1  1 2 3 . 0 0  

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2  0  

−   1  1  

9 0  

−     8 8  

2  

−        

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 90 by 11. Write the remainder after subtracting the bottom number from the top number.

7.

0 1 1 . 1 8 1

1 1  1 2 3 . 0 0 0

− 0      

1 2      

− 1 1      

1 3    

−  1 1    

2  0  

−   1  1  

9 0  

−     8 8  

2 0

−      1 1

9

−        

Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 20 by 11. Write the remainder after subtracting the bottom number from the top number.

End of long division (upto 3 decimal places).

123 ÷ 11 = 11.181

(Sorry If I made this to confusing)

Answer:

The median is 33.5

Step-by-step explanation:

In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.

The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.

The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.

To find the median of the given numbers, we first need to arrange them in ascending order:

12 17 28 31 36 54 55 71

Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.

To find the average, we add the two numbers and divide by 2:

(31 + 36) / 2 = 67 / 2 = 33.5

Therefore, the median of the given numbers is 33.5.

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The value of v will be equal to -7.

An expression is given i.e., 6v + 38 = - 4

We have to find out the value of v by solving the expression.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as multiplication , division , etc.

As per the question ;

The given expression is ; 6v + 38 = -4

So ; the value of v after solving the expression will be ;

6v + 38 = - 4

6v = -4 - 38

6v = -42

v = -42/6

v = -7

Thus , the value of v will be equal to -7.

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The measure of \(\angle D\) is 13.

Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.

given:

\(m\angle C=-3x+58\) and \(m\angle D=x-2\)

As, \(\angle C\) and \(\angle D\) are vertical angles

so,

\(m\angle C= m\angle D\)

\(-3x+58 = x-2\)

\(-3x -x = -2-58\)

\(-4x = -60\)

\(x= 15\)

So, \(m\angle D= x-2= 15-2 = 13\)

Hence, the value of \(m\angle D\) is 13.

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Considering the competition, there are already 32 pizza places in the area. The new pizza place will be the 33rd in the vicinity.

The Pretty Pizza Company plans to open a new pizza place. The company has identified a location that is 0.01 (15 blocks) away. The cost per block for constructing the new pizza place is $221. Additionally, there are already 32 existing pizza places in the area.

To calculate the total cost of opening the new pizza place, we multiply the distance by the cost per block:

Total cost = 0.01 (15 blocks) * $221 = $331.50

Considering the competition, there are already 32 pizza places in the area. The new pizza place will be the 33rd in the vicinity.

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We estimate that the average number of roommates per semester for all students at the local college is 0.7.

The best point estimate for the average number of roommates per semester for all students at the local college would be the sample mean, which is calculated as the sum of the number of roommates for all students in the sample divided by the number of students in the sample.

Using the information given in the problem, we have:

Sample size (n) = 133

Sample mean (\(\bar X\)) = 0.7

Therefore, the best point estimate for the population mean (μ) is the sample mean:

μ ≈ \(\bar X\) = 0.7

So, we estimate that the average number of roommates per semester for all students at the local college is 0.7.

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Step-by-step explanation:

To transform a function vertically, add 3 to the constant.

\(5 + 3 = 8\)

So the function is

\(3 {x}^{2} + 8\)

Graph the function in desmos to show the translation vertically if you want proof

Answer:

Click on your profile icon (next to friends icon) at the bottom it will say what current plan you are on and.... the square root of 10 is positive 3

Step-by-step explanation:

Answer:

Attached

Step-by-step explanation:

a. X (average milk production per cow per day) has an approximately normal distribution. b. 80% confidence interval: (5.996, 6.564) gallons. c. 99% lower confidence bound: 5.998 gallons. d. Sample size required for a 95% confidence level with a margin of error ≤ 0.15 gallons: at least 31 cows.

a. The distribution of X, which represents the average milk production per cow per day, can be considered approximately normal. This is because when we take random samples from a population and calculate the average, the distribution of sample means tends to follow a normal distribution, regardless of the shape of the population distribution, as long as the sample size is reasonably large.

b. To find an 80 percent confidence interval for the mean milk production of all cows on the farm, we can use the formula:

CI = X ± (Z * (σ/√n))

Where X is the sample mean, Z is the Z-score corresponding to the desired confidence level (80% corresponds to Z = 1.28), σ is the standard deviation of the population (0.42 gallons), and n is the sample size (12 cows).

Plugging in the values, we get:

CI = 6.28 ± (1.28 * (0.42/√12)) = 6.28 ± 0.254

Therefore, the 80 percent confidence interval for the mean milk production is (5.996, 6.564) gallons.

c. To find a 99 percent lower confidence bound on the mean milk production, we can use the formula:

Lower bound = X - (Z * (σ/√n))

Plugging in the values, we get:

Lower bound = 6.28 - (2.33 * (0.42/√12)) = 6.28 - 0.282

Therefore, the 99 percent lower confidence bound on the mean milk production is 5.998 gallons.

d. To determine the sample size required for a 95 percent confidence level with a margin of error no greater than 0.15 gallons, we can use the formula:

n = (Z ²σ²) / (E²)

Where Z is the Z-score corresponding to the desired confidence level (95% corresponds to Z = 1.96), σ is the standard deviation of the population (0.42 gallons), and E is the maximum margin of error (0.15 gallons).

Plugging in the values, we get:

\(n = (1.96^2 * 0.42^2) / 0.15^2\) ≈ 30.86

Therefore, a sample size of at least 31 cows is required to be 95 percent confident that the estimate of μx has a margin of error no greater than 0.15 gallons.

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Answer:

Step-by-step explanation:I’m the Globglogabgalab, I love books

And this basement is a true treasure trove

I am the Glob-glo-gab-galab

The shwabble-dabble-wabble-gabble flibba blabba blab

I’m full of shwibbly liber-kind

I am the yeast of thoughts and minds

Shwabble dabble glibble glabble schribble shwap glab

Dibble dabble shribble shrabble glibbi-glap shwap

Shwabble dabble glibble glabble shwibble shwap-dap

Dibble dabble shribble shrabble glibbi-shwap glab

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Simply delicious

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i so sorry

a. The composite scores for each location are as follows: Location A: 84.34, Location B: 81.05, Location C: 82.63 (b)  Based on the composite scores, Location A should be chosen for the clothing store.

To determine the composite score for each location, we need to calculate the weighted sum of the factor ratings.

a. The composite score for each location is calculated as follows:

Location A:

Composite score = (Convenience of access * Weight) + (Parking facility * Weight) + (Frontage * Weight) + (Shopper traffic * Weight) + (Operating cost * Weight) + (Neighbourhood * Weight)

Composite score = (0.10 * 92) + (0.15 * 91) + (0.19 * 96) + (0.31 * 79) + (0.10 * 70) + (0.15 * 69)

Composite score = 84.34

Location B:

Composite score = (0.10 * 70) + (0.15 * 73) + (0.19 * 89) + (0.31 * 95) + (0.10 * 95) + (0.15 * 81)

Composite score = 81.05

Location C:

Composite score = (0.10 * 72) + (0.15 * 75) + (0.19 * 74) + (0.31 * 80) + (0.10 * 92) + (0.15 * 96)

Composite score = 82.63

b. Based on the composite scores, we can see that Location A has the highest score of 84.34, followed by Location C with a score of 82.63, and Location B with a score of 81.05. Therefore, Location A should be chosen for the clothing store.

After calculating the composite scores for each location based on the factor ratings and weights, it is determined that Location A has the highest composite score and should be chosen for the clothing store.

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Answer:

B. ) 36-48-60

Step-by-step explanation:

From Pythagoras theorem, we can determine the sides of the triangle by testing the options

a^2 + b^2 = c^2

Then test the options

B. ) 36-48-60

36^2 + 48^2 = 60^2

3600 + 2304 = 3600

3600= 3600

Since both sides have equal values, then OPTIONS B express a correct sides of the triangle

C.) 6-10-14

6^2 + 10^2 = 14^2

36+ 100= 196

136= 196( it doesn't make an equality then it's not the answer