(a) To calculate the final frequencies in the contingency table, we need to sum up the frequencies for each combination of variables. The final frequencies are as follows:
Size of restaurant: Seats 100 or fewer
- Excellent: 182
- Fair: 200
- Poor: 161
Size of restaurant: Seats over 100
- Excellent: 186
- Fair: 316
- Poor: 155
(b) To find the expected frequency for each cell in the contingency table, we can use the formula:
Expected Frequency = (row total * column total) / grand total
The expected frequencies for each cell in the contingency table are as follows:
Size of restaurant: Seats 100 or fewer
- Excellent: (513 * 368) / 1200 ≈ 157.60
- Fair: (513 * 516) / 1200 ≈ 220.95
- Poor: (513 * 356) / 1200 ≈ 151.77
Size of restaurant: Seats over 100
- Excellent: (557 * 368) / 1200 ≈ 171.53
- Fair: (557 * 516) / 1200 ≈ 237.85
- Poor: (557 * 356) / 1200 ≈ 164.62
(a) The final frequencies in the contingency table are obtained by summing up the frequencies for each combination of the variables "Size of restaurant" and "Rating." This gives us the observed frequencies for each category.
(b) The expected frequency for each cell is calculated using the formula mentioned above. It considers the row total, column total, and grand total of the contingency table.
The expected frequencies represent the frequencies we would expect to see in each cell if the variables were independent of each other. These values are used to assess the association between the two variables.
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Find the length of QR
Answer:
QR = 15
Step-by-step explanation:
The product of the length of the secant segment and its external part equals the square of the length of the tangent segment.
(QR+5) *5 = 10^2
(QR+5) *5 = 100
Divide each side by 5.
(QR+5) *5/5 = 100/5
(QR+5) = 20
Subtract 5 from each side.
QR = 20-5
QR = 15
An animal shelter has 36 pets available for adoption. ¼ of them are puppies. How many are puppies?
Answer:
9.
Step-by-step explanation:
36 * 1/4
= 36/4
=9.
Answer:
9
Step-by-step explanation:
In a major sports rights deal, the NCAA just renewed their contract with CBS/Turner through 2032 for March Madness. In a word what are both CBS and Turner Sports role in the communications process. eg They serve as the ________________ means in the media process.
In a major sports rights deal, the NCAA just renewed its contract with CBS/Turner through 2032 for March Madness. CBS and Turner Sports both serve as the broadcasting means in the media process
They play a crucial role in the communication process by broadcasting the NCAA March Madness tournament to millions of viewers around the world. The agreement between the NCAA and CBS/Turner is a significant deal that will ensure the continued popularity and success of the annual college basketball tournament for years to come. This partnership has allowed CBS/Turner to provide in-depth coverage of the event, including live streaming of games, analysis, and commentary. Additionally, CBS and Turner Sports work closely with the NCAA to promote the tournament and its related events to audiences worldwide, which helps to enhance the overall viewing experience. Overall, CBS and Turner Sports have established themselves as key players in the broadcasting industry, providing quality sports programming to audiences worldwide.
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two million, eighty-seven thousand, three hundred four.
Answer:
2,087,304
Step-by-step explanation:
If that is what you mean by that..
A computer monitor has a width of 14.60 inches and a height of 10.95 inches. What is the area of the monitor display in square meters? area How many significant figures should there be in the answer? 2 3 4 5
The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.
The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.
The conversion factor from inches to meters is 0.0254 meters per inch.
Width in meters = 14.60 inches * 0.0254 meters/inch
Height in meters = 10.95 inches * 0.0254 meters/inch
Area = Width in meters * Height in meters
We calculate the area:
Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters
Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters
Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters
Now, we determine the number of significant figures.
The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.
Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.
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SUPER EASY MATH! Help plz! Will give Brainliest! What is C?
Answer:
C = 35Step-by-step explanation:
Column 2 = Column 1 * Column 3
C = 5*7 = 35D = 10*7 = 70How can you find out the slop without dots.
Answer:
y = -3x + 6
Step-by-step explanation:
The slope is the amount of y change when you take one x step to the right. As you can see from the line, it drops 3 units for every step to the right. Hence the slope is -3.
For x = 0, y is 6, so the equation is y = -3x + 6
You can find the slope with points. You do not necessarily need dots. In the graph there are the 2 points (0, 6) and (2, 0). There is also another point at exactly (1, 3).
You can use those points to find the slope using the equation
\(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)
in regression analysis, the independent variable is typically plotted on the _____.
In regression analysis, the independent variable is typically plotted on the x-axis.
The x-axis represents the independent variable or predictor variable, which is the variable that is believed to influence or have an impact on the dependent variable. This variable is typically plotted horizontally on the graph.
For example, let's say we are studying the relationship between the amount of study time and exam scores. In this case, the independent variable would be the amount of study time, which could be measured in hours.
By plotting the amount of study time on the x-axis, we can visually analyze how it relates to the dependent variable, which is the exam scores, typically plotted on the y-axis. This helps us understand the nature and strength of the relationship between the two variables.
So, in summary, the independent variable is plotted on the x-axis in regression analysis.
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What is seven lots of sixty-four?
Answer:
Answer 71
Step-by-step explanation:
hope it is right
At a cherry farm, the cost per pound of cherries depends on the amount of cherries bought. For an amount up to 100 pounds, the cost is $1.75 per pound, and, for an amount over 100 pounds, the cost is $1.50 per pound. Ralph bought 60 pounds and Jeff bought 80 pounds separately. If they had bought the total amount jointly, how much would they have saved?
Answer:
they would have saved 35 dollars
Step-by-step explanation:
Ralph on his own would have paid 105 and jeff 140 but together with the discount they could save $35 by paying 210 in total with the discount.
Davis earned $3,000 at the bookstore. If he worked for 50 weeks and earned the same amount of money each week, how much did he earn per week?
Answer:
60
Step-by-step explanation
Answer:
$60
Step-by-step explanation:
3000 / 50 =60
98 x 63 – 32 x 69 =
Answer:
3966
Step-by-step explanation:
Use order of operations to solve this problem:
ParenthesesExponentsMultiply (Left to right)Divide (Left to right)AdditionSubractionIn your case, there are no parentheses or exponents, so we can skip right the the multiply and divide step. The first multiplication is 98*63=6174. The next step is to do 32*69=2208. Then you minus 6174-2208=3966.
Hope this helps!
Solve for c law of sines
Answer:
c/sin(60°) = 14/sin(25°)
c = 14sin(60°)/sin(25°) = 28.7
Factoring trinomials
Select two for each
\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Factors
1.) x^2-4x-60 = (x-10) (x+6)
2.) x^2+10x+24 = (x+4)(x+6)
Solve for x. 6x - 5x + 12 = 9 - 9x + 13 *
2 points
x = 0
x = 1
x = -1
none of the above
Solve the inequality. 5x + 11 > 2x + 38 *
2 points
x > 9
x -9
x 36 *
2 points
x > -3
x > 3
x < 3
x < -3
Solve for x. -5(3x + 8) = 20 *
2 points
x = 4
x = -30
x = -4
x = 4/3
multiple questions. i appreciate any help. thank you
Answer:
x + 12 = 22 - 9x
x = 10 - 9x
10x = 10
x = 1
5x + 11 > 2x + 38
3x + 11 > 38
3x = 27
x = 9
15x - 40 = 20
-15x = 60
-x = 4
x = -4
On a trip, there are 8 children and 1 adult per boat. If a total of 108 people went on this boat trip, how many were children?
Please help me find the answer
Sylvia measures 2 cups of flour. This is 40% of the flour she needs to make bread dough. What is the total number of cups of flour Sylvia needs to make bread dough?
5 cups
ask any questions you still have, I'm happy to help more if you need :)))
PLEASE HELP!!!! The difference between the product of 12 and 8 and the sum Of 54 and 11
Answer:I have no clue
Step-by-step explanation:
So basically I have no clue
Jordan has a bag that contains orange chews, strawberry chews, and lime chews. He performs an experiment. Jordan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jordan performs the experiment 61 times. The results are shown below: An orange chew was selected 11 times. A strawberry chew was selected 17 times. A lime chew was selected 33 times. Based on these results, express the probability that the next chew Jordan removes from the bag will be strawberry chew as a decimal to the nearest hundredth.
Answer:
17/61 or 0.27
Step-by-step explanation: 17 out of 61 times Jordan will pull out strawberry so the probability of pulling out a strawberry chew is 17/61 which is 0.27 as a decimal
Answer:
0.28
Step-by-step explanation:
0.278 rounded is 0.28
In HIJ, the measure of J=90°, HI = 65 feet, and IJ = 31 feet. Find the measure of
H to the nearest tenth of a degree.
Answer:
28.5
Step-by-step explanation:
28.5 delta said it was correct
URGENT!
What is the solution set of the following system of equations?
x + y = 0
x - y + 2 = 0
Answer:
x + y = 0 is x = − y.
x - y + 2 = 0 is x = y − 2.
Can someone help me find the code
Answer:
Step-by-step explanation:
Please mark brainliest!
1: Zero (aka x-intercept)
2: vertex
3: y-intercept
4: slope
5: Maximum (lowest is minimum)
6: Trinomial (2 terms in binomial)
7: Growth (between 0 and 1 is decay)
8: Domain (all y values is the range)
9: Infinity or Undefined, most likely Undefined (the horizontal line is 0)
10: No
GIVING BRAINLIEST!! PLS HELP :((
At least 2 sides of equal length, 2 pairs of parallel sides, & at least 2 right angles.
Which shapes have all the properties shown? Select All That Apply.
A) Isosceles triangle
B) Parallelogram
C) Rectangle
D) Right Triangle
E) Square
F) Trapezoid
Answer:
A parallelogram is a quadrilateral with 2 pairs of parallel opposite and equal sides. Similarly, the opposite angles in a parallelogram are equal in measure
Step-by-step explanation:
Answer: Parallelogram
Rectangle
Square
Step-by-step explanation:
when engaging in weight control (fitness/fat burning) types of exercise, a person is expected to attain about 60% of their maximum heart rate. for 20-year-olds, this rate is approximately 120 bpm. a simple random sample of 100 20-year-olds was taken, and the sample mean was found to be 107 bpm with a standard deviation of 45 bpm. researchers wonder if this is evidence to conclude that the expected level is actually lower than 120 bpm. to determine this, we test the following hypotheses suppose the mean and standard deviation obtained were based on a sample of size 25 rather than 100. the p-value would be
There is sufficient data to prove that the heart rate was less than 120 beats per minute (P-value = 0.002).
For the population mean weight control heart rate of 20-year-olds, the 95% confidence interval is (98.07, 115.93).
Step-by-step explanation:
This is a test of the population mean's theory.
The assertion is that a heart rate of less than 120 bpm exists.
The alternative and null hypothesis are then:
h0 : μ = 120
ha : μ < 120
The level of significance is 0.05.
The sample has a n=100 size.
M=107 is the sample mean.
Due to the unknown population standard deviation, we estimate it using the sample standard deviation, which has a value of s=45.
Using the following formula, the estimated standard error of the mean is calculated:
Sm = \(\frac{s}{\sqrt{n} }\)= \(\frac{45}{\sqrt{100} }\) = 4.5
The t-statistic can then be calculated as follows:
T = \(\frac{m-μ}{\frac{s}{\sqrt{n} } }\) = 107-120/4.5 = -13/4.5 -2.88
The t-statistic can then be calculated as follows:
df= n-1 = 100-1 = 99
These sample size's degrees of freedom are:
Given that this test has 99 degrees of freedom, a left-tailed design, and a t value of -2.889, the P-value is determined as follows (using a t-table)
p-value = p(t<-2.88)= 0.002
The effect is significant because the P-value (0.002) is less than the 0.05 level of significance.
The naive theory is disproved.
There is sufficient proof to back up the assertion that the heart rate was less than 120 bpm.
A 95% confidence interval for the mean must be calculated.
Since the population standard deviation is unknown, we must infer it from the sample standard deviation in order to get the critical number using a t-students distribution.
M=107 is the sample mean.
N=100 is the sample size.
When σ is unknown, an estimation of σM is made by dividing s by the square root of N:
Sm =\(\frac{s}{\sqrt{N} }\) =\(\frac{45}{\sqrt{100} }\) =4.5
The t-value for a 95% confidence interval is t=1.984.
The margin of error (MOE) can be calculated as:
MOE = t*Sm = 1.984 * 4.5 = 8.92
Then, the lower and upper bounds of the confidence interval are:
LL = M - t*Sm = 107- 8.92 = 98.07
UL = M +t *Sm = 107 + 8.92 = 115.93
The 95% confidence interval for the population mean weight control heart rate of 20-year-olds is (98.07, 115.93).
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\(\sqrt{x} 8xyx^{2}\)
Answer:
nom nom
Step-by-step explanation:
nom nommy nom nom
In the multiple regression equation, the symbol b stands for the. A) partial slope. B) slope of X and Y C) beta slop of X and Z D) Y-intercept.
In the multiple regression equation, the symbol b represents the partial slope.
In multiple regression analysis, the goal is to examine the relationship between a dependent variable (Y) and multiple independent variables (X1, X2, X3, etc.). The multiple regression equation can be expressed as:
Y = b0 + b1*X1 + b2*X2 + b3*X3 + ...
In this equation, the symbol b is used to represent the regression coefficients or slopes associated with each independent variable. Specifically, each b coefficient represents the change in the dependent variable (Y) associated with a one-unit change in the corresponding independent variable, while holding all other independent variables constant. Therefore, b is the partial slope of the specific independent variable, indicating the direction and magnitude of the relationship between that independent variable and the dependent variable.
Option A, "partial slope," correctly describes the role of the symbol b in the multiple regression equation. The slope of X and Y (Option B) refers to the simple regression coefficient in a simple linear regression equation with only one independent variable. Option C mentions the beta slope of X and Z, which is not a standard terminology. Option D, Y-intercept, represents the value of Y when all independent variables are set to zero, and it is denoted by b0 in the multiple regression equation.
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y is inversely proportional to √x
y = 9 when x = 16
a) An equation connecting y and x can be written in the form y=k/ √x
Work out the value of k.
k=
b) Work out the value of y when x = 25
y =
c) Work out the value of x when y = 4.5
Answer:
k=36; y=1.44; x=8
Step-by-step explanation:
a) y= k/square root of x
9=k/square root of 16
9=k/4
9×4= (k/4)×4
therefore k=36
b) Using k...
y=36/25
therefore y=1.44
c) 4.5=36/x
4.5×(x)= (36/x)×(x)
4.5x=36
therefore x=8
A hot air balloon starts at an elevation of 600 feet then it ascends at a rate of 400 feet per minute what is the slope of the line
The slope of the line is 400
How to determine the slope of the lineFrom the question, we have the following parameters that can be used in our computation:
Start position = 600 feet
Rate of ascending = 400 feet per minute
The above parameters can be interpreted as
Initial position = 600 feet
Rate = 400 feet per minute
The rate is the slope
So, we have
Slope = 400
Hence, the slope is 400
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The lengths of two sides of a triangle are shown.
Side 1: 8x2 − 5x − 2
Side 2: 7x − x2 + 3
The perimeter of the triangle is 4x3 − 3x2 + 2x − 6.
Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work. (4 points)
Part B: What is the length of the third side of the triangle? Show your work. (4 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)
Answer:
To find the total length of the two sides, we simply add them together:
Total length = Side 1 + Side 2
Total length = (8x^2 - 5x - 2) + (7x - x^2 + 3)
Total length = -x^2 + 8x^2 - 5x + 7x - 2 + 3
Total length = 7x^2 + 2x + 1
Therefore, the total length of the two sides of the triangle is 7x^2 + 2x + 1.
Step-by-step explanation:
To find the length of the third side of the triangle, we need to use the formula for the perimeter of a triangle:
Perimeter = Side 1 + Side 2 + Side 3
We are given the perimeter of the triangle as 4x^3 - 3x^2 + 2x - 6 and we know the lengths of Side 1 and Side 2. Therefore, we can rewrite the formula as:
4x^3 - 3x^2 + 2x - 6 = (8x^2 - 5x - 2) + (7x - x^2 + 3) + Side 3
Simplifying the right-hand side:
4x^3 - 3x^2 + 2x - 6 = 7x^2 + 2x + 1 + Side 3
Side 3 = 4x^3 - 3x^2 + 2x - 6 - 7x^2 - 2x - 1
Simplifying further:
Side 3 = 4x^3 - 7x^2 - x - 7
Therefore, the length of the third side of the triangle is 4x^3 - 7x^2 - x - 7.
Yes, the answers for Part A and Part B show that the polynomials are closed under addition and subtraction.
Closure under addition means that when two polynomials are added, the result is also a polynomial. In Part A, we added the two polynomials 8x^2 - 5x - 2 and 7x - x^2 + 3 to get the total length of the two sides of the triangle, which is 7x^2 + 2x + 1. Since the total length is also a polynomial, this shows that the polynomials are closed under addition.
Closure under subtraction means that when one polynomial is subtracted from another polynomial, the result is also a polynomial. In Part B, we subtracted the two polynomials 8x^2 - 5x - 2 and 7x - x^2 + 3 from the given perimeter of the triangle, 4x^3 - 3x^2 + 2x - 6, to get the length of the third side of the triangle, which is 4x^3 - 7x^2 - x - 7. Since the length of the third side is also a polynomial, this shows that the polynomials are closed under subtraction.
Therefore, the answers for Part A and Part B demonstrate that the polynomials are closed under addition and subtraction.