The degrees of freedom for the chi-square distribution for this test of homogeneity would be (7-1) * (3-1) = 12.
To determine the degrees of freedom for a test of homogeneity, we need to consider the number of categories in both the column variable and the row variable.
In this case, there are 7 categories in the column variable and 3 categories in the row variable. To calculate the degrees of freedom, we use the formula:
(number of categories in column variable - 1) * (number of categories in row variable - 1).
Applying this formula, we get:
Degrees of Freedom = (7 - 1) * (3 - 1) = 6 * 2 = 12.
The degrees of freedom for the chi-square distribution in this test of homogeneity with 7 categories in the column variable and 3 categories in the row variable is 12. The degrees of freedom indicate the number of independent pieces of information available to estimate or analyze the data. It is an important parameter when working with the chi-square distribution to assess the statistical significance of the observed data.
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Question 1-
A scatter plot is shown on the coordinate plane.
Which two points would a line of fit go through to best fit the data?
A. (1,9) and (9,5)
B. (1,9) and (5,7)
C. (2,7) and (4,3)
D. (2,7) and (6,5)
Question 2-
Laila participated in a dance-a-thon charity event to raise money for the Animals are Loved Shelter. The graph shows the relationship between the number of hours Laila danced, x, and the money she raised, y.
Determine the slope and explain its meaning in terms of the real-world scenario.
A. The slope is 1/4, which means that the amount of the student raised increases by $0.75 each hour.
B. The slope is 4, which means that the amount the student raised increases by $4 each hour.
C. The slope is 12, which means that the student will finish raising money after 12 hours.
D. The slope is 20, which means that the student started with $20.
Question 1-
To determine which two points would a line of fit go through to best fit the data on the scatter plot, we need to visually analyze the pattern of the data points and choose two points that the line would pass through to represent the overall trend.
Without the actual scatter plot provided, I am unable to directly analyze it. However, based on the given answer choices:
A. (1,9) and (9,5)
B. (1,9) and (5,7)
C. (2,7) and (4,3)
D. (2,7) and (6,5)
Since I don't have the scatter plot, I cannot accurately determine which points would best fit the data. I would recommend carefully reviewing the scatter plot and selecting the two points that seem to represent the general trend or pattern of the data. The two points that form a line that closely follows the general direction of the data points would be the best choices.
Question 2-
To determine the slope of the relationship between the number of hours Laila danced, x, and the money she raised, y, we need to examine the graph and calculate the slope using the formula:
Slope = (change in y) / (change in x)
However, since the graph is not provided, it is not possible to directly calculate the slope. However, we can still evaluate the given answer choices based on their explanations:
A. The slope is 1/4, which means that the amount the student raised increases by $0.75 each hour.
B. The slope is 4, which means that the amount the student raised increases by $4 each hour.
C. The slope is 12, which means that the student will finish raising money after 12 hours.
D. The slope is 20, which means that the student started with $20.
From the explanations provided, it seems that option B would be the most reasonable choice. A slope of 4 would indicate that for each additional hour Laila danced, she raised $4. However, without the actual graph, it is challenging to confirm the accuracy of the answer choice or its real-world interpretation.
Find the account balance after each transaction. Complete the table below. Transaction Amount Balance $78.45 Bought Dinner -$27.90 Paid Water Bill -$109.00 Deposit $58.00
The Account balance after each transaction by adding pervious amount is
Transaction Amount Balance
Initial balance $78.45
Bought Dinner -$27.90 $50.55
Paid Water Bill -$109.00 -$58.45
Deposit $58.00 -$0.45
What is addition?
Addition is one of the basic mathematical operations in which two or more numbers are combined to form a larger number, called the sum. The process of addition involves taking two or more numbers and finding their total value by combining them together. The symbol for addition is the plus sign (+).
Given by the question:
To find the account balance after each transaction, we need to start with the initial balance and then add or subtract the amounts of each transaction in the order they occurred. We can represent this process using the following formula:
Balance after transaction = Balance before transaction + Transaction amount
let's consider the first transaction where $27.90 was spent on dinner. To find the new balance after this transaction, we can use the formula as follows:
Balance after transaction = $78.45 - $27.90
Balance after transaction = $50.55
Similarly, we can apply the formula to the other transactions to find the new balance after each one. For example, to find the new balance after the deposit of $58.00, we can use the formula as follows:
Balance after transaction = -$0.45 + $58.00
Balance after transaction = $57.55
By using the formula for each transaction, we can complete the table and find the final balance after all the transactions, which is -$0.45.
Transaction Amount Balance
Initial balance $78.45
Bought Dinner -$27.90 $50.55
Paid Water Bill -$109.00 -$58.45
Deposit $58.00 -$0.45
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A bookstore costs $96 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the break-even point
for this bookstore?
Answer: The break even point is when they have sold 16 books and have made $288
Step-by-step explanation: The costs are modeled in the equation y = 12x + 96. x is the number of books sold.
The earnings are modeled by he equation y = 18x.
Substitute 18x for y and solve for x.
18x = 12x + 96 Subtract 12x from both sides.
6x = 96 Divide both sides by 6
x = 16
Substitute into the original equations to solve for y
y = 12(16) + 96
y = 192 + 96
Y = 288
y = 18(16)
y = 288
Answer:
C = 12n + 90
Step-by-step explanation:
Find the slope of the line that passes through the points A(-3, 1) and B(2, -5).
Answer:
\(m = \frac{ - 5 - 1}{2 - ( - 3)} = - \frac{6}{5} \)
Write the equation of a line that is parallel to the given line and passes through the given point.
y=1/3x+1 (-3,4)
Answer:
\(y=\frac{1}{3}x +5\)
Step-by-step explanation:
Linear equations are typically formatted in slope-intercept form:
\(y=mx+b\) where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
Parallel lines will always have the same slope. Therefore, this line will also have a slope of \(\frac{1}{3}\). Plug this into our equation:
\(y=\frac{1}{3} x+b\)
2) Determine the y-intercept (b)
To solve for the y-intercept (b), plug the given point (-3,4) into our equation and isolate b.
\(4=\frac{1}{3}(-3)+b\\4=\frac{-3}{3}+b\\4=-1+b\)
Add 1 to both sides
\(4+1=-1+b+1\\5=b\)
Therefore, the y-intercept is 5. Plug this back into our original equation with the slope:
\(y=\frac{1}{3}x +5\)
I hope this helps!
Haematuria + frequency + dysuria what is the diagnosis and investigations?
Can y’all please help a gurl out thanks
Answer:
The answer is B
Step-by-step explanation:
To solve this, we need to combine like terms.
(9c-8d) + (2c-6) + (-d+3)
9c + 2c - 8d - d - 6 + 3
11c - 8d - d - 6 + 3
11c - 9d - 6 + 3
11c - 9d - 3
\(\sqrt[4]{\left(x^{-6}\right)^8}\)
someone please help
Answer:
The answer should be x 4/-48
Step-by-step explanation:
I think this is the answer
Answer:
just checking something
The eccentricity of the conic section below is
A. Closer to 0 than 1
B. Closer to 1 then 0
The eccentricity of the conic section below is: A. closer to 0 than 1.
What is a conic section?In Euclidean geometry, a conic section can be defined as a curve that is generated as the intersection of the surface of a right circular cone with a plane.
In Mathematics, there are four (4) types of conic section and these include the following with their eccentricity:
Hyperbola: its eccentricity is greater than one (1).Parabola: its eccentricity is equal to one (1).Ellipse: its eccentricity is 0 < e < 1.Circle: its eccentricity is equal to zero (0).In this context, we can reasonably infer and logically deduce that the eccentricity of the conic section is closer to zero (0) than one (1) because it represents a circle.
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could someone explain this please? I will be giving brainliest to best.
Simplify the expression.
Thanks!
Answer: The answer is -75.
Update: Another question was uploaded with the full image, so for this image only the answer is -75, however if you factor in the other question, the answer is -3/5.
Do you think Donald Trump..... Please answer the question from the picture
Answer:
For the first it is dilation by a scale factor of 1.5. For the second it is 6. I think, sorry if they are incorrect.
Step-by-step explanation:
which is an equation for the line shown?
Which has one line of symmetry
Answer:
D
Step-by-step explanation:
An isoceles triangle has two eqial sides and angles wich give it exactly one axe of symmetry
Write the expression in standard form.
(6 − 4)− ( − 3)
Answer:
6-4 = 2 - -3 = 5
Step-by-step explanation:
Which statement about this system of equations is true?
Answer:
A
Step-by-step explanation:
What critical value of t should be used for a 80% confidence interval for the population mean based on a random sample of 38 observations?
Find the t-table here.
O r = 1.303
O r = 1.310
O r = 1.684 оо
O r = 1.697
The critical value of t is 1.303
What is confidence interval?
In statistics, the probability that a population parameter will fall between a set of values for a predetermined percentage of the time is referred to as the confidence interval. Analysts frequently employ confidence ranges that include 95% or 99% of anticipated observations.
Given:
n = 38 , C = 80% = 0.80 ,
α = 1-0.80 = 0.20
Degree of freedom :
Df = n - 1
= 38-1
= 37
From the t-table,
t value corresponding to α = 0.20 and Df = 37 is
t* = 1.303
The critical value of t is 1.303
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Do anybody know this?
Answer:
y = 2x + 4
Step-by-step explanation:
Answer:
y = 2x + 4
Step-by-step explanation:
find slope with m = (y2 - y1) / (x2 - x1)
I used ( 0,4) and (-2,0)
so (4 - 0)/(0 - (-2))
which is 4/2 or 2
then find y intercept by using a test point (I used 0,4)
so y = 2x + b, 4 = 2 (0) + b, 4 = b
Final: y = 2x + 4
If a person drives 360 miles at an average of 35 miles per hour, then their distance d from the destination (in miles) is a function of the number of hours h driven.
The required function is d = 360 - 35h, 0 ≤ h ≤ 10.29.
We know that distance travelled is equalled to speed multiplied by time.
Let d be the distance from the destination.
Let d₁ be the distance travelled in h hour.
And h be the number of hours driven.
Given that the average speed is 35 miles per hour.
Therefore, we have d₁ = 35h
And the initial distance from the destination is 360 miles.
Note at time h= 0 the distance from the destination is the maximum which is 360 miles.
Therefore, we have d₁ = 35h
Distance from the destination is 360 - d₁.
⇒ d = 360 - d₁
⇒ d = 360 - 35h
Time taken to reach destination = d/v = 360/35 = 10.29 hours
Therefore the required function is d = 360 - 35h, 0 ≤ h ≤ 10.29
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Joseph’s lunch at the diner costs $15 without tax. He left the waiter a 21% tip. What was his total cost of the lunch, including tip, without tax?
Answer:
18.15
Step-by-step explanation:
21% of 15 is 3.15 so 15 plus 3.15 = 18.15
help me please andwer this
Answer:
B
Step-by-step explanation:
i am smart
What does it mean if two outcomes are mutually exclusive (disjoint)?
Give a specific example of two mutually exclusive outcomes
Give a specific example of two outcomes that are NOT mutually exclusive
Mutually exclusive outcomes are events that cannot happen at the same time, while non-mutually exclusive outcomes can occur together.
The term "mutually exclusive" refers to two outcomes that cannot occur at the same time. In other words, if one outcome happens, the other outcome cannot occur. This means that the events have no elements in common and are disjoint. For example, let's consider the outcomes of flipping a fair coin. The two possible outcomes are getting a "heads" or a "tails". These outcomes are mutually exclusive because if the coin lands on "heads", it cannot simultaneously land on "tails". Similarly, if the coin lands on "tails", it cannot be "heads" at the same time. Therefore, the outcomes of getting "heads" and "tails" are mutually exclusive.
On the other hand, let's take the example of rolling a regular six-sided die. The outcomes could be getting an even number (2, 4, or 6) or getting a number greater than 4 (5 or 6). In this case, the outcomes of getting an even number and getting a number greater than 4 are not mutually exclusive. It is possible for the die to land on a 6, which would satisfy both conditions. Therefore, these outcomes are not mutually exclusive.
To summarize, mutually exclusive outcomes are events that cannot happen at the same time, while non-mutually exclusive outcomes can occur together. In the context of flipping a coin, getting "heads" and "tails" are mutually exclusive outcomes, whereas in the case of rolling a die, getting an even number and getting a number greater than 4 are not mutually exclusive outcomes.
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in the country of united states of heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.3 inches, and standard deviation of 4.3 inches. what is the probability that the height of a randomly chosen child is between 44.75 and 58.35 inches? do not round until you get your your final answer, and then round to 3 decimal places.
The probability that the height of a randomly chosen child is between 44.75 and 58.35 inches is approximately 0.8830.
To solve this problem, we need to find the area under the normal curve between the two given heights.
We can use the standard normal distribution by converting the given values into z-scores. The formula for calculating a z-score is
z = (x - μ) / σ
where x is the value we want to convert, μ is the mean of the distribution, and σ is the standard deviation of the distribution.
For the lower bound of 44.75 inches
z1 = (44.75 - 53.3) / 4.3 = -1.98
For the upper bound of 58.35 inches
z2 = (58.35 - 53.3) / 4.3 = 1.17
Now, we need to find the area under the normal curve between these two z-scores. We can use a standard normal table or a calculator to find this probability.
Using a standard normal table, the probability of z being between -1.98 and 1.17 is approximately 0.8830.
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welp just awnser the best you can
Answer:
A. 584.6 or 585.
Step-by-step explanation:
Answer:
a. 584.6 ft²
Step-by-step explanation:
Area of regular hexagon by the length of side: 3√3/2 * side²
area = 3√3/2 * 15² = 584.57
jessica thought of a number(x) added 8 and squared it and got 100 as a final answer
Answer:
2
Step-by-step explanation:
square root of 10 is 100.
10-8=2
I think the number x is 2 because the square root of 100 is 10 and since we know she added 8 before squaring it, it has to be 2
PLS HELP ASAP
does anyone know these answers
Answer: i know it
Step-by-step explanation: i know
How do I complete this equation
Answer:
130°
Step-by-step explanation:
All the interior angles should add up to 540 degrees because it's a pentagon
∠T ≅∠S, so ∠T is also 115°
∠P and ∠R are both 90°
Add everything up and solve for ∠Q:
115 + 115 + 90 + 90 + m∠Q = 540
410 + m∠Q = 540
m∠Q = 130°
(L2) A circle that contains a polygon so that it passes through each vertex of the polygon is a(n) _____ circle.
(L2) An inscribed circle is one that encompasses a polygon so that it passes by each of the polygon's vertices.
A circumcircle, not an inscribed circle, is a circle that encircles a polygon at each vertex. A circle that is enclosed within a polygon and intersects each side of the polygon exactly once is said to be inscribed. A circumcircle, on the other hand, is a circle that goes through every vertex of the polygon, with its center located at the point where the perpendicular bisectors of the polygon's sides converge. The greatest circle that can be drawn within a polygon is the circumcircle, while the largest circle that can be drawn inside a triangle is the inscribed circle.
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which scatterplot is it lol
Answer:
A scatter plot (aka scatter chart, scatter graph) uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point
What is 5% of 240? Please help
Answer:
12
Step-by-step explanation:
P = (x% * y)
P = (5% * 240)
p = 5/100 = 0.05
P = (0.05 * 240)
P = 12
Answer:
12%
Step-by-step explanation:
5 percent *240
= (5/100)*240
= (5*240)/100
= 1200/100 = 12
constant of proportionality the constant value of the ratio of two proportional quantities x and y; usually written y = kx, where k is the factor of proportionality.
In a proportional relationship between two quantities, the constant of proportionality, often denoted by the letter "k," represents the value that relates the two quantities. The equation y = kx is the standard form for expressing a proportional relationship, where "y" and "x" are the variables representing the two quantities.
Here's a breakdown of the components in the equation:
y: Represents the dependent variable, which is the quantity that depends on the other variable. It is usually the output or the variable being measured.
x: Represents the independent variable, which is the quantity that determines or influences the other variable. It is typically the input or the variable being controlled.
k: Represents the constant of proportionality. It indicates the ratio between the values of y and x. For any given value of x, multiplying it by k will give you the corresponding value of y.
The constant of proportionality, k, is specific to the particular proportional relationship being considered. It remains constant as long as the relationship between x and y remains proportional. If the relationship is linear, k also represents the slope of the line.
For example, if we have a proportional relationship between the distance traveled, y, and the time taken, x, with a constant of proportionality, k = 60 (representing 60 miles per hour), the equation would be y = 60x. This equation implies that for each unit increase in x (in hours), y (in miles) will increase by 60 units.
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