Add the frequency’s together:
84 + 36 + 72 + 84 + 204 = 480
Divide each frequency by the total then multiply by 360 degrees:
A = 84/480 x 360 = 63 degrees
B = 36/480 x 360 = 27 degrees
C = 72/480 x 360 = 54 degrees
D = 84/480 x 360 = 63 degrees
E = 204/480 x 360 = 153 degrees
what happens to the probability of rejecting the null hypothesis as the obtained statistic decreases
if n decreases then the value of level of significance of each samples \(\alpha\) decreases
1. Critical Value: The value of the statistic for which the test just rejects the null hypothesis at the given significance level.
2. Power of the Test: The probability that the test correctly rejects the null hypothesis when the alternative is true.
3. Significance Level: The prescribed rejection probability of a statistical hypothesis test when the null hypothesis is true.
4. Size of the test: The probability that the test incorrectly rejects the null hypothesis when it is true.
if n decreases then the value of level of significance of each samples \(\alpha\) decreases and hence 1- \(\alpha\) increases which are called the rejection of test sample increases
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Is the given expression equal to - 2(5.5+ 4.5b)?
Select Yes or No for each expression.
Yes No
- 9b+ 11
- 9 - 11
- 11-9b
Answer:
i'm not to sure but i think its all no
Step-by-step explanation:
Please find the value of x
Answer:
100 degrees
Step-by-step explanation:
Find the cubes of the following numbers: a) 21 b) 55 c) 302
Answer:
a)9261
b)166375
c)27543608
Step-by-step explanation:
21 x 21 x 21 = 9261
55 x 55 x 55 = 166375
302 x 302 x 302 = 27543608
What are the coordinates of a triangle NPQ with
coordinates N(12,-3), P(1,2) and Q(9,0) after it is
rotated 180 degree about the origin.
Answer:i need help with this
Step-by-step explanation:
I need help plz help me !!
Answer:
110
Step-by-step explanation:
y = 11/6x where x is in minutes
there are 60 minutes in an hour
plug in 60 as x
11/6 *60 = 11*10 = 110
Answer:17
Step-by-step explanation:
The sun is at a focus of Earth's elliptical orbit.
a. Find the distance from the sun to the other focus.
The distance from the sun to the other focus is 5.01 × 10⁹ m.
What is the distance from the sun?
(a) The distance from the center of an ellipse to a focus is an where a is the semi major axis and e is the eccentricity. Thus, the separation of the foci ( in the case of Earth's orbit ) is;
2ae = 2(1.50 × 10¹¹)(0.0167) = 5.01 × 10⁹ m.
(b) To express this in terms of solar radii, we set up a ratio;
(5.01 × 10⁹)/(6.96 × 10⁸) = 7.2
Thus, we can conclude that the distance from the sun to the other focus is 5.01 × 10⁹ m.
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Complete question is;
The Sun's center is at one focus of Earth's orbit. How far from this focus is the other focus, (a) in meters and (b) in terms of the solar radius, 6.96 × 10⁸ m? The eccentricity is 0.0167, and the semimajor axis is 1.50 × 10¹¹ m.
Add x2 + 4 x2y -7xy +3 and x2y + x y + 9
Answer:
x²+5x²y-6xy+12Step-by-step explanation:
to understand thisyou need to know about:algebraPEMDASgiven:x²+4x²y-7xy+3+x²y+xy+9let's solve:rewrite:x²+4x²y+x²y-7xy+xy+9+3combine like terms:x²+5x²y-6xy+12The table for the quadratic functions f(x) and g(x) are given. x f(x) g(x) −6 36 12 −3 9 3 0 0 0 3 9 3 6 36 12 Determine the type of transformation and the value of k.
The value of k is 1, which is the value of function g(x) (and f(x)) when x = -3 or x = 3.
We can determine the type of transformation and the value of k for each of the functions using the tables provided for f(x) and g(x).
g(x) = 3f(x) (x)
Here, there occurs a vertical stretch/compression transformation. The function g(x) is a three-fold vertical expansion or contraction of f(x).
G(x) has a value of 4, which is identical to the value of k,
whether x = -6 or = 6.
g(x) = f(3x) (3x)
Here, there occurs a horizontal stretch/compression transformation. A horizontal stretch or compression of f(x) by a factor of 1/3 results in the function g(x).
When x = -3 or x = 3,
the value of k is 1, which is also the value of g(x) and f(x).
g(x) = (1/3)f(x) (x)
Here, there occurs a vertical stretch/compression transformation.
A vertical stretch or compression of f(x) by a factor of 1/3 results in the function g(x).
G(x) has a value of 4, which is identical to the value of k,
whether x = -6 or = 6.
g(x) = f(x/3)
Here, there occurs a horizontal stretch/compression transformation. The function g(x) is a three-fold horizontal stretching or compression of f(x). When x = -3 or x = 3, the value of k is 1, which is also the value of g(x) and f(x).
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What is the constant of proportionality?
Answers in bold
\(\begin{array}{|c|c|} \cline{1-2}\text{number of rolls} & \text{number of people}\\\cline{1-2}1 & \boldsymbol{0.5}\\\cline{1-2}6 &3\\\cline{1-2}10 & \boldsymbol{5}\\\cline{1-2}16 & \boldsymbol{8}\\\cline{1-2}25 & \boldsymbol{12.5}\\\cline{1-2}n & \boldsymbol{0.5n}\\\cline{1-2}\end{array}\)
How many people will 10 spring rolls feed? 5What is the constant of proportionality? 0.5Write an equation to represent the number of people fed by the spring rolls. Equation is y = 0.5x========================================================
Explanation:
The given table looks like this
\(\begin{array}{|c|c|} \cline{1-2}\text{number of rolls} & \text{number of people}\\\cline{1-2}1 & \\\cline{1-2}6 & 3\\\cline{1-2}10 & \\\cline{1-2}16 & \\\cline{1-2}25 & \\\cline{1-2}n & \\\cline{1-2}\end{array}\)
Focus on the row that has two values in it.
x = number of rolls = 6
y = number of people 3
k = constant of proportionality
y = kx
k = y/x = 3/6 = 0.5
The constant of proportionality is k = 0.5 which gives the direct variation equation of y = 0.5x
If x = 1, then y = 0.5*1 = 0.5 meaning that 1 roll feeds 0.5 people. This means we need 2 rolls to feed one person.
If x = 10, then y = 0.5x = 0.5*10 = 5 people can be fed with those 10 rolls. This process is continued until we finish filling out the table.
will mark brainiest to whoever gets it right!!!!!!:)
If they are parallel it would be 105
If its right please give brainliest
a box contains six red light bulbs, nine blue light bulbs, and five green light bulbs. what is the probability of randomly selecting a red light bulb? (round to 2 decimal places) what is the probability of randomly selecting a blue light bulb? (round to 2 decimal places) what is the probability of randomly selecting a red light bulb or a blue light bulb? (round to 2 decimal places) what is the probability of randomly selecting a green light bulb? (round to 2 decimal places) what is the probability of randomly selecting a blue or a green light bulb? (round to 2 decimal places)
Using it's definition, the probabilities are given as follows:
Red: 0.3 = 30%.Blue: 0.45 = 45%.Red or Blue: 0.75 = 75%.Green: 0.25 = 25%.Blue or Green: 0.6 = 60%.What is a probability?The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.
The total number of bulbs in this problem is given as follows:
6 + 9 + 5 = 20.
Six of them are red, hence the probability of a red bulb is:
p = 6/20 = 0.3 = 30%.
Nine of them are blue, hence the probability of a blue bulb is:
p = 9/20 = 0.45 = 45%.
Five of them are green, hence the probability of a green bulb is:
p = 5/20 = 0.25 = 25%.
The probability of a red or blue bulb is:
p = 0.3 + 0.45 = 0.75.
The probability of a blue or green bulb is:
p = 0.45 + 0.25 = 0.6.
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12w+10=2(3w+35)
How do I solve this?
Answer:
w = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
12w + 10 = 2(3w + 35)
Step 2: Solve for w
Distribute 2: 12w + 10 = 6w + 70Subtract 6w on both sides: 6w + 10 = 70Subtract 10 on both sides: 6w = 60Divide 6 on both sides: w = 10Step 3: Check
Plug in w to verify it's a solution.
Substitute: 12(10) + 10 = 2(3(10) + 35)Multiply: 120 + 10 = 2(30 + 35)Add: 130 = 2(65)Multiply: 130 = 130Here we see that 130 does indeed equal 130.
∴ w = 10 is a solution of the equation.
Step-by-step explanation:
Solve this equation by isolating for w.
A aluminum bar 3 feet long weighs 12 pounds. What is the weight of a similar bar that is 3 feet 4 inches long?
Answer:
13 1/3 pounds.
Step-by-step explanation:
3 feet = 36 inches
3 feet 4 inches = 36 + 4 = 40 inches
By proportion the weight of the larger bar = 12 * 40/36
= 12 * 10/9
= 120/9
= 13 1/3 pounds.
The table below represents a quadratic function. Use the data in the table to
determine the domain and range of the function.
x
-1
0
1
4
y
5
3
5
35
The domain is all real numbers and the Range is y ≥ 3.The correct answer is option A.
To determine the domain and range of the quadratic function based on the given table, let's analyze the values.
Domain represents the set of possible input values (x-values) for the function.
Range represents the set of possible output values (y-values) for the function.
From the given data:
x = -1, 0, 1, 4
y = 5, 3, 3, 5, 35
Looking at the x-values, we can see that the function has values for all real numbers. Therefore, the domain of the function is "all real numbers."
Now, let's consider the y-values. The minimum value of y is 3, and there are no y-values less than 3.
Additionally, the maximum value of y is 35. Based on this information, we can conclude that the range of the function is "y ≥ 3" since all y-values are greater than or equal to 3.
Therefore, the correct answer is:A. Domain: all real numbers
Range: y ≥ 3
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The probable question may be:
The table below represents a quadratic function. Use the data in the table to determine the domain and range of the function.
x= -1,0,1,4
y= 5,3,3,5,35
A. Domain: all real numbers Range: y ≥3
B. Domain: all real numbers
Range: x≥0
c. Domain: all real numbers
Range: y ≥0
D. Domain: all real numbers
Range: y ≤3
Determine the equation of the line that is parallel to y=2/3x+4 and passes through the point (3,7)
Step-by-step explanation:
If the line is parallel to y=2/3x+4 then,
m=m
slope of eqn y=2/3x+4
m=2/3(On comparing with y= mx + c)
the passing point is (3,7) then,
y-y1 = m(x-x1)
y-7=2/3(x-3)
y-7=2/3x -2
y-7= -4x/3
3y-7= -4x
4x + 3y - 7=0
So, The reqd eqn is 4x + 3y - 7 = 0
Are the two triangles similar? If so, state the reason and the similarity statement.
Question 17 options:
A)
Impossible to determine.
B)
Yes; SSS; ΔKLP ∼ ΔKNM
C)
Yes; SAS; ΔLKP ∼ ΔMKN
D)
The triangles aren't similar.
Given that KL/KM = KP/KN = PL/MN = k, m∠K = m∠K, m∠L = m∠M and m∠P = m∠N, then by SAS theorem we conclude that ΔLKP ∼ ΔMKN.
How to define the similarity between the two triangles
By Euclidean geometry we know that two triangles are similar when the two triangles have the same angles in the same order. Thus, the sides between the two triangles have the same proportionality, then:
KL/KM = KP/KN = PL/MN
Given that KL/KM = KP/KN = PL/MN = k, m∠K = m∠K, m∠L = m∠M and m∠P = m∠N, then by SAS theorem we conclude that ΔLKP ∼ ΔMKN.
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what is the answer for D
Answer:
Where's a photo or sum??
The cafeteria sold 6 more turkey sandwiches than ham sandwiches. They sold 16 sandwiches in all. How many ham sandwiches did the cafeteria sell?
Answer:
5 ham sandwiches
Step-by-step explanation:
To find the number of ham sandwiches sold, we should find the pair of numbers that have a difference of 6 and add to 16.
1 ham sandwich, 7 turkey sandwiches = 8 sandwiches2 ham sandwiches, 8 turkey sandwiches = 10 sandwiches3 ham sandwiches, 9 turkey sandwiches = 12 sandwiches4 ham sandwiches, 10 turkey sandwiches = 14 sandwiches5 ham sandwiches, 11 turkey sandwiches = 16 sandwichesWhile this method isn't always very efficient, it worked pretty well for this case!
Therefore, the answer is 5 ham sandwiches.
Answer:
5
Step-by-step explanation:
11 and 5 have a 6 number gap between them 5 plus 11 gets you 16
5+sin(3x)=4
solve for x on the unit circle where x is between 0 and 2pi
The solutions for x between 0 and 2π are: x = π/2, (5π)/6, and (11π)/6.
To solve the equation 5 + sin(3x) = 4 for x on the unit circle, where x is between 0 and 2π, follow these steps:
1. Subtract 5 from both sides: sin(3x) = -1
2. Determine the angle for which sin is -1: sin(3x) = sin(3π/2)
3. Since the sine function has a period of 2π, the general solution is: 3x = 3π/2 + 2πk, where k is an integer.
4. Divide both sides by 3: x = π/2 + (2πk)/3
Now, find the values of x between 0 and 2π by trying different integer values of k:
- If k = 0, x = π/2
- If k = 1, x = π/2 + 2π/3 = (5π)/6
- If k = 2, x = π/2 + 4π/3 = (11π)/6
Thus, the solutions for x between 0 and 2π are: x = π/2, (5π)/6, and (11π)/6.
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help plz!!!!!!!!!!!!!!!!!!!!!
Grandma edith is making apple pies, one for each of her 14 grandchildren. If the recipe calls for 6 apples, 3/4 cup of sugar, 3 tbsp of flour, and 1 tsp of cinnamon for each pie, how many bags of apples does grandma edith need if each bag holds 32 apples?.
Answer:
3
Step-by-step explanation:
she will need 84 apples total so you do 84/32 and u get aroubd 2.6. You then round up to three because you can't have half a bag
For a research project, students are asked to study how often students at an online high school look at social
media while doing schoolwork.
1. Sofie decides to develop a survey.
(a) Give an example of a question she could ask on her survey.
(b) How could Sofie select a simple random sample of students to take her survey?
(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and
population for Sofie’s research?
(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If
Sofie uses only the completed surveys, what conclusion could she make about the percent of all high
school students who use social media while doing schoolwork?
(a) Example question: "How often do you look at social media while doing schoolwork?
(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.
(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.
(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.
(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."
(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.
(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.
To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.
Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.
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An artist is creating several pieces of pottery.
- he has `10\ \frac{4}{5}`pounds of clay
- he will use `\frac{7}{10}` of a pound to create each piece of pottery.
what is the greatest number of pieces of pottery the artist can make with this clay?
select one answer.
use the sketch or your own paper to show the work.
15 is the greatest number of pieces of pottery the artist can make with this clay.
What is the greatest number of pieces of pottery?You want to start making some money from your newfound Pottery Making Hobby
Or you at least would like to break even so you can continue making more pieces.
You are wondering what to make that will sell well. I’m going to show you the 9 pieces that most potters make that sell well on a consistent basis
Given that: He has 10(4/5) pounds of clay, and 7/10 of a pound to create each piece of pottery.
lets simplify ,
now 10(4/5) / 7/10 = 54/5/7/10
= 54/5*10/7
= 54(2/7)
=54(2)/7
= 108/7
= 15
15 is the greatest number of pieces of pottery the artist can make with this clay.
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A solution is prepared by dissolving
24 milliliters of saline in 150 milliliters of pure
solution. What is the percent of saline in the pure
solution?
Answer:
13.79%
Step-by-step explanation:
A solution is made by dissolving 24 millimeters of saline in 150 millimeters of pure solution
Therefore percent of saline in the pure solution can be calculated as follows
= 24/24+150 × 100
= 24/174 ×100
= 0.1379 ×100
= 13.79%
Hence the percent of saline in the pure solution is 13.79%
please help me to resolve this problem
Step-by-step explanation:
Greetings !
Firstly, recall distance-speed equation
\(speed = \frac{distance}{time} \)
Given values:-
speed(v)=15.7mile/hrtime(t)=9daysrequired values:-
distance travelled(s)=?solution /work-out
But, first change the time from day to hour
Thus, 9days=216hours
\(distance = speed \times time\)
plug in the given values and solve for the distance.
\(distance = 15.7mi\hr \times 216hr \\ distance = 3391.2mile\)
Hope it helps!
Given h(x) = 5x + 2, find h(-6).
Which expression is equivalent to
Answer:
B) x^(5/3)*y^(1/3)
Step-by-step explanation:
Taking the cube root of a number is the same as raising it to the 1/3 power:
∛x=x^1/3
∛(x⁵y) = x^(5(1/3))*y^(1/3)=x^(5/3)*y^(1/3)
Remember to multiply exponents when raising an exponent to an exponent and distribute the 1/3 to each exponent!
use the mean and standard deviation from the previous 2 examples to calculate a two standard devation inteval around the mean and use it to answer the following questionr: is the minority caucus justifed in their concern that a student senate with only 2 minoirites is a biased representation of the student body?
The Student Senate at a large university has 60 members, of which 20% are minorities. The probability of selecting only two minority students is 10.74%, making it surprising to have only two on the Senate. The expected number of minority students is 12, and having only two may indicate under-representation. The standard deviation of minority students is 1.94. If there were nine minority students, it would not necessarily indicate bias as it falls within the usual range of values.
Let n, the number of trials, is 60 since there are 60 students chosen to represent the entire student body in the Senate. Let p, the probability of success (i.e., selecting a minority student) on a single trial, is 0.20 since 20% of the student body is minority.
The probability of selecting only two minority students in the Senate can be calculated as P(x≤2) = P(x=0) + P(x=1) + P(x=2) = 0.1074. Therefore, there is a 10.74% chance of having only two minority students on the Senate purely by chance.
Based on the low probability in part c), it would be surprising to have only two minority members on the Senate. However, it's important to note that statistical probability alone cannot determine whether bias exists, as there may be other factors at play.
The Minority Caucus may have a reasonable complaint of under-representation, as the expected number of minority students on the Senate can be calculated as u = np = 60 * 0.20 = 12. Therefore, having only two minority students on the Senate is significantly lower than the expected number.
The standard deviation of the number of minority students selected can be calculated as σ = sqrt(np(1-p)) = 1.94.
If the Senate had nine minority students, the Minority Caucus would not have a strong case for racial bias. Assuming that the distribution of minority students selected follows a binomial distribution, the expected number of minority students would be u = np = 60 * 0.20 = 12, with a standard deviation of σ = 1.94.
Using the Empirical Rule, the usual range of values would be from u - 2σ to u + 2σ, which in this case would be from 8.12 to 15.88. Therefore, having nine minority students falls within the usual range of values, indicating that it is not necessarily a result of bias.
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--The given question is incomplete, the complete question is given
" Using the binomial distribution. A Student Senate at a large university is made up of 60 students chosen to represent the entire student body. 20% of the students at this university are minorities. When the members of the senate are selected, only two members are minority students. The Minority Caucus claims that this Senate is racially biased. They decide to use statistics to support their claim. Let x be the number of minority students who are selected for the senate. Assume the binomial probability can be used as the university has a large student population (large enough to assume independence when sampling students) What is n? What is p? Calculate the probability of the Senate being made up of so few minority students purely by chance. That is, find P(xS2) for this binomial problem: Based on your answer to part b, would you be surprised if the Senate had only 2 minority members? Why or why not? Do you think the Minority Caucus is reasonable in their complaint of under- representation? Explain. Assuming that the senate represents the entire student body, how many minority students would you expect to be selected for the senate? You will need to find u for this. There is a shortcut to find the mean for a binomial distribution shown in the text. ur Find the standard deviation of the number of minority students selected. Again, use the shortcut for finding the standard deviation for a binomial distribution, 0= Now suppose that the Student Senate has 9 minority students. Could the Minority Caucus make a case for racial bias in this case? Explain your answer using the Empirical Rul bunu need to find +20 the usual range of values and include the range of values Find the standard deviation of the number of minority students selected. Again, use the shortcut for finding the standard deviation for a binomial distribution, 0 = Now suppose that the Student Senate has 9 minority students. Could the Minority Caucus make a case for racial bias in this case? Explain your answer using the Empirical Rule (you need to find to, the "usual range" of values and include the range of values in your answer:"--
which expressions are equivalent to p+p+p+p+p+p+p choose all that apaly
Answer:
7p
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
p7 is the answer...