The data should come from a binomial distribution. There should be no non-response or other forms of bias. The sample size should not be more than 10% of the population size, and the sample should be independent of one another.
When making inferences about one population proportion, the following assumptions need to be made:
Option 1: The sample is a simple random sample from the population.
Option 2: The sample size should be large enough so that both np ≥ 10 and n(1 − p) ≥ 10.
Option 3: The data comes from a binomial distribution.
Option 4: There is no non-response or other forms of bias.
Option 5: The sample size is no more than 10% of the population size.
Option 6: The sample is independent of one another.In order to make inferences about one population proportion, the assumptions mentioned above need to be made. It is vital to make sure that the sample is a simple random sample from the population, and that the sample size is large enough so that both np ≥ 10 and n(1 − p) ≥ 10.
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. if an m-by-n matrix a multiplies an n-dimensional vector x, how many separate multiplications are involved? what if a multiplies an n-by-p matrix b?
If a multiplies an n x p matrix b then the total number of multiplications involved is m x p. And is given by Dimensional vector.
For explanation, There are two separate cases to consider when multiplying an m-by-n matrix and an n-dimensional vector, or an m-by-n matrix and an n-by-p matrix.
When an m-by-n matrix, A, multiplies an n-dimensional vector, x, the number of separate multiplications involved is m. This is because in order to compute the dot product of A and x, each row of A needs to be multiplied by the vector x, resulting in m separate multiplications.
On the other hand, when A multiplies an n-by-p matrix, B, the number of separate multiplications involved is m x p. This is because in order to multiply A and B, each row of A must be multiplied by each column of B, resulting in m x p separate multiplications.
Therefore, the number of separate multiplications involved when multiplying an m-by-n matrix and an n-dimensional vector is m, and the number of separate multiplications involved when multiplying an m x n matrix and an n x p matrix is m x p.
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Are the ratios 4:3 and 5:4 equivalent?
Answer:
They're not promise
Step-by-step explanation:
I did it on the calculator
I hope this helps youuu
Have a good day <3
15. Anna has $2.00 in change, including 5 quarters. What is the maximum number of dimes she can have? A 2 C 7 B 5 D 9
Answer:
To solve the problem, we need to first determine the value of the quarters Anna has. Since there are 5 quarters, we have:
5 quarters = 5 x $0.25 = $1.25
Thus, Anna has $2.00 - $1.25 = $0.75 left. We can find the maximum number of dimes she can have by dividing this amount by the value of a dime, which is $0.10. Therefore:
$0.75 ÷ $0.10 = 7.5
Since Anna cannot have a fraction of a dime, we round down to the nearest whole number to get a maximum of 7 dimes. Therefore, the answer is option B, 5.
PLEASE HELP, WILL MARK BRAINLIEST
The slope-intercept definition of the linear function is given as follows:
y = -2x - 3.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.For this problem, the slope and the intercept are given as follows:
Intercept of b = -3, as when x = 0, y = -3.Slope of m = -2, as when x increases by 1, y decreases by 2.Hence the function is defined as follows:
y = -2x - 3.
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City pollution in Singapore (scientific notation)?
According to the World Air Quality Report 2020, the annual average PM2.5 concentration in Singapore was 14.8 μg/m³ (micrograms per cubic meter which can be expressed in scientific notation as 1.48 x 10^-5 g/m³.
What is important fact on city pollution in Singapore?The PM2.5 concentration refers to fine particulate matter that can pose health risks when inhaled, and sources of such pollution in urban areas can include traffic, industrial activities, and power generation.
Despite its relatively low PM2.5 concentration compared to many other cities in the world, Singapore continues to work on improving air quality and reducing pollution through measures such as promoting the use of public transportation, implementing emission standards for vehicles, and encouraging the adoption of clean energy technologies.
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WILL GIVE BRAINLIEST. IM IN A HURRY! A cube-shaped box has an edge length of 4/5 meter.
What is the volume of the container?
Enter your answer, as a fraction in simplest form, in the box.
Figure LMNOPQRS is a regular octagon. Segment LS is located at L (0, 0) and S (0, 1). What is the perimeter of LMNOPQRS?
A. 8 units
B. 10 units
C. 12 units
D. 14 units
The perimeter of the given regular octagon is 8 units.
What is the perimeter of a regular polygon?
The perimeter of a regular polygon is the total length of its sides, and for a regular octagon, it is given by the formula [tex]P = 8s[/tex] , where s is the value of each side. To find the length of each side, we can use the coordinates of two adjacent vertices of the octagon.
Calculating the value of the perimeter :
In this question, we are given that the octagon is regular and that segment LS is located at L (0,0) and S (0,1).
To find the perimeter of the octagon, we can use the formula [tex]P = 8s,[/tex], where s is the value of each side.
We can find the length of each side by using the coordinates of two adjacent vertices of the octagon. Let us consider the coordinates of vertices L and M. The distance between L and M can be calculated using the distance formula as follows:
[tex]d =\sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)}[/tex]
where [tex](x_1, y_1) = (0, 0)[/tex]and [tex](x_2, y_2) = (1, 0)[/tex]
[tex]d = \sqrt{((1 - 0)^2 + (0 - 0)^2)}= 1[/tex]
Therefore, the length of each side of the octagon is 1 unit.
Substituting s = 1 unit in the formula for the perimeter of the octagon, we get:
[tex]P = 8s = 8(1) = 8[/tex] units
Hence, the perimeter of the given regular octagon is 8 units.
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I NEED HELP ON THIS ASAP!!
A sports ticketing company offers two ticket plans. One plan costs $110 plus $25 per ticket. The other plan costs $40 per ticket. How many tickets must Gloria buy in order for the first plan to be the better buy?
Answer: Gloria must but at least one ticket in order for the first plan to be the better plan
What are linear and non-linear functions?
A straight line on the coordinate plane is represented by a linear function. As an illustration, the equation y = 3x – 2 depicts a linear function because it is a straight line in the coordinate plane.
Any function whose graph is not a straight line is said to be nonlinear. Any curve other than a straight line can be a graph of it.
An example of a non-linear function is a quadratic function.
Given, A sports ticketing company offers two ticket plans. One costs $11 plus $25 per ticket and the other plan costs$40 per ticket.
Let, The number of tickets be 'x'.
Therefore, The number of tickets Gloria should buy so that the first plan is a better plan is,
11x + 25 < 40x.
11x - 40x < - 25.
- 29x < - 25.
29x > 25.
x > 25/29.
x > 0.86.
So, Gloria must buy at least 1 ticket.
Step-by-step explanation:
I NEED HELP PLEASE!!!
I have no idea, good luck though pal
Step-by-step explanation:
You
Got
This
<3
Roy bought a board game for $22. Then, he marked up the price of the board game and resold it for $25.78. What percentage of the original price was the markup rate?
how much greater is 4/5 than 3/4?????
Answer:
To find how much greater 4/5 is than 3/4 we can turn them into decimal values:
4/5 = 0.8
3/4 = 0.75
0.8 - 0.75 = 0.05
4/5 is 0.05 or 1/20 greater than 3/4
in a sample of men, said that they had less leisure time today than they had years ago. in a sample of women, women said that they had less leisure time today than they had years ago. at , is there a difference in the proportions? use for the proportion of men with less leisure time
The test static for sample of 50 men, 44 said that they had less leisure time today than they had 10 years ago is 0.2377.
A number derived from a statistical test of a hypothesis is the test statistic. It displays how closely your actual data fit the distribution predicted by the statistical test's null hypothesis.
In order to determine whether to accept or reject your null hypothesis, the test statistic is utilised to calculate the p value of your findings.
In a sample of 50 men, 44 said that they had less leisure time today than they had 10 years ago.
In a sample of 50 women, 48 women said that they had less leisure time than they
had 10 years ago.
p-hat men:: 44/50 = 0.22
p-hat women:: 48/50 = 0.24
Test Stat:
z(0.24-0.22) =[tex]\frac{0.02}{\sqrt{[(0.22*0.78/50)+(0.24*0.76/50)]} }[/tex] = 0.2377
At [tex]\alpha[/tex] = .05, is there a difference in the proportions between the men and women
[tex]p-value = 2*P(z > 0.2377) = 0.8121[/tex]
Since the p-value is greater than 5%, fail to reject H.
H: p(men)-p(women) = 0
Ha: p(men)-p(women) # 0 = .05, is there a difference in the proportions between the men and women
p-value = 2*P(z > 0.2377) = 0.8121
Since the p-value is greater than 5%, fail to reject H.
H: p(men)-p(women) = 0
Ha: p(men)-p(women) # 0
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Complete question:
In a sample of 50 men, 44 said that they had less leisure time today than they had 10 years ago. In a sample of 50 women, 48 women said that they had less leisure time than they had 10 years ago. What is the test statistic? At [tex]\alpha[/tex] = .05, is there a difference in the proportions between the men and women?
You See I Have This Monster Under My Bed And Every 8 Hours He Eats 4 Cupcakes , Id Like To Buy Egnogh For The Next 24 Hours How Many Would I Need To Buy
Answer: 12 cupcakes
Step-by-step explanation:
24/8 = 3
3x4=12
Answer:
The answer to your problem is, 12
Step-by-step explanation:
First, we want to know the problem:
24 ÷ 8 = ?
? = 3
Next, we can do some easy multiplication such as the following:
3 x 4 = ?
? = 12.
Thus, the answer to your problem is, 12
suppose a class has 50 students, and 10 of them are math majors. in how many ways can the students be lined up so that all the math majors are in the front half of the line?
If the class has 50 students, and 10 of them are math majors There are a total of 50! (50 factorial) ways to line up the 50 students.
To ensure that all the 10 math majors are in the front half of the line, the first 10 positions in the line must be filled by the math majors, leaving 40 positions in the second half to be filled by the remaining 40 students.
Thus, there are 10! (10 factorial) ways to fill the first 10 positions and 40! (40 factorial) ways to fill the second half.
Therefore, the total number of ways to line up the students so that all the math majors are in the front half of the line is
10! × 40! = 30,240,000.
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I’m a little confused on this, also this is about complementary and supplementary angles.
Answer:
1. 48
2. 103
3. 47
4. 60
hope this helps
Determine whether each expression can be used to find the length of segment AB.
AB= 10sinC
AB = 10cosA
AB = 8tanA
AB= 8tanC
A
B
27
8
10
C
The length of segment AB, is calculated using the formulae velow
AB = 10 sin CAB = 10 cos AAB = 8 tan CHow to the formulae for length of ABInformation from the question
a figure of right triangle
The length of AB is worked using SOH CAH TOA
Sin = opposite / hypotenuse - SOH
Cos = adjacent / hypotenuse - CAH
Tan = opposite / adjacent - TOA
The length of AB is solved using sin, cos and tan as follows
Sin = opposite / hypotenuse - SOH
sin C = AB / 10
AB = 10 Sin C
Cos = adjacent / hypotenuse - CAH
cos A = AB / 10
AB = 10 cos A
Tan = opposite / adjacent - TOA
tan C = AB / 8
AB = 8 tan C
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Please I really need the help I only have 30 minutes left this is my second attempt at this
The correct option is the second one, your supervisor did not divide by the total number of bags.
What mistake did your supervisor did?Here we can see a table with the size of each bag (in grams) and the number of sold bags.
Now, remember that for a set of N numbers {x₁, ..., xₙ} the mean is:
M = (x₁ + x₂ + ...)/N
So the denominator is the amount of elements in the set.
Then here in the denominator we should see the total number of bags sold, which is:
25 + 32 + 40 + 18 = 115
That number should be in the denominator instead of the sum of the masses.
Then the correct option is the second one.
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Gerald had some green and yellow beads. The number of green beads was 1/3 the number of yellow beads. He gave each of his friends 2 green beads and 3 yellow beads. He then had 42 green beads and 270 yellow beads left.
a. How many friends did he give the beads to?
b. What was the total number of beads he had at first?
Answer:
Step-by-step explanation:
Let's use algebra to solve this problem.
Let's start by assigning variables to the unknown quantities. Let G be the initial number of green beads and Y be the initial number of yellow beads.
We know that the number of green beads is 1/3 the number of yellow beads:
G = (1/3)Y
After giving away some beads, he had 42 green beads and 270 yellow beads left. So we can set up two equations using this information:
G - 2f = 42
Y - 3f = 270
where f is the number of friends he gave the beads to.
Now we can substitute G = (1/3)Y into the first equation:
(1/3)Y - 2f = 42
Multiplying both sides by 3, we get:
Y - 6f = 126
Now we have two equations that we can solve simultaneously:
Y - 3f = 270
Y - 6f = 126
Subtracting the first equation from the second, we get:
3f = 144
So f = 48. He gave the beads to 48 friends.
To find the total number of beads he had at first, we can use the equation G = (1/3)Y:
G + Y = (4/3)Y = (4/3)(270) = 360
So he had a total of 360 beads at first.
a researcher wishes to conduct a study of the color preferences of new car buyers. suppose that 30% of this population prefers the color green . if 16 buyers are randomly selected, what is the probability that at least 4 buyers would prefer green ? round your answer to the nearest ten-thousandth, if necessary.
The probability that at least 4 buyers would prefer green among the 16 selected is approximately 0.1031.
What is probability?
Probability is the study of the chances of occurrence of a result, which are obtained by the ratio between favorable cases and possible cases.
This problem can be modeled as a binomial distribution with n = 16 trials and p = 0.3 probability of success (preferring green).
Let X be the number of buyers who prefer green among the 16 selected. We need to find P(X ≥ 4).
Using a binomial probability table or calculator, we can find:
P(X ≥ 4) = 1 - P(X < 4)
= 1 - P(X ≤ 3)
= 1 - [P(X=0) + P(X=1) + P(X=2) + P(X=3)]
= 1 - [0.1233 + 0.2854 + 0.3028 + 0.1854]
= 0.1031 (rounded to 4 decimal places)
Therefore, the probability that at least 4 buyers would prefer green among the 16 selected is approximately 0.1031.
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answer this for points please i need this done
Answer:
Proofs attached to answer
Step-by-step explanation:
Proofs attached to answer... I think
The hypotenuse of a right triangle measures 5 cm and one of its legs measures 3 cm. Find the measure of the other leg
Answer:
16
Step-by-step explanation:
a^2 + b^2 = c^2
a^2= 3^2 = 9
c^2=5^2 = 25
25-9= b^2
25-9=16
b^2 = 16
if she picks another 250 balls at random, how many red balls should she expect
Answer:
Step-by-step explanation:
250
PLEASE ANSWER AS QUICKLY AS YOU CAN!!!!!!
Answer:
(x+6)(x+6)
[tex]x^2+12x+36[/tex]
(x+8)(x-5)
[tex]x^{2}+3x-40\\[/tex]
(x-5)(x-2)
[tex]x^{2}-7x+10[/tex]
Step-by-step explanation:
Brainliest pls hope it helped^^
Answer:
a) x^(2)+12x+36
b) x^(2)+3x-40
c) x^(2)-7x+10
Step-by-step explanation:
If 16% of a number is 40, find 4% of that number.
4% of a number is therefore 10, or 10 by Divide both sides of the equation by 0.16 and to determine the fourth percent of the number.
what is equation ?Typically, an equation consists of one or more variables, which might have varying values and are typically represented by letters. Equations are frequently used to explain relationships between distinct values or to address issues in a variety of fields. An example of an equation with one variable is x + 2 = 5. It denotes that x plus 2 add up to 5 in total.
given
With the provided data, we can first determine the complete number:
If 40 is 16% of a number, then the following equation may be written:
0.16x = 40
where x is the complete number that we are looking for.
Divide both sides of the equation by 0.16 to find the value of x:
x = 40/0.16
x = 250
Hence, the total is 250.
We can now utilise this knowledge to determine the fourth percent of the number:
4% of 250 is:
0.04 × 250 = 10
4% of a number is therefore 10, or 10 by Divide both sides of the equation by 0.16 and to determine the fourth percent of the number.
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Help help help help help HELP ME PLEASE THIS IS DUE REALLY SOOONNN
answer for number 14 is 1115
you mutliply 27 into 1 ×45 into 100
it is 100 because we are dealing with percentage
so you say (write in fraction form)
27÷1×45÷100
=1215÷100
you get the answer of 1115
so there were 1115 female butterflies
we can subtract the answer from the original number to get the number of male butterflies
1215-1115 =100 male butterflies
En la situación de la alberca olímpica cuyo volumen es de 3750m³.¿Que capacidad de agua tiene?
Answer:
Step-by-step explanation:
Y
3 Which of the following figures have
the same area?
2.9 cm
II
4 cm
2 cm
A. Figures I and II
C. Figures I and III
I
5.8 cm
III 3.7 cm
3.7 cm
B. Figure II and III
D. None of the above
We can see here that the figures that have the same area are: A. Figures I and II.
What is area?Area is a measure of the size of a two-dimensional surface or shape. It refers to the amount of space inside the boundaries of a flat object, such as a rectangle, triangle, or circle. Area is typically measured in square units, such as square meters, square feet, or square centimeters.
The area of Figure I which is a rectangle is = l × b = 2cm × 5.8cm = 11.6cm².
The area of Figure II which is a parallelogram is = b × h = 4cm × 2.9cm = 11.6cm².
Thus, Figures I and II have the same area.
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find sin A 97, 72,65
Therefore, sin(A) is approximately 0.6708 (rounded to four decimal places).
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It is used to solve problems related to geometry, physics, engineering, and many other fields. Trigonometry is based on the study of the six trigonometric functions: sine (sin), cosine (cos), tangent (tan), cosecant (csc), secant (sec), and cotangent (cot). These functions describe the ratios of the lengths of the sides of a right triangle, and can be used to calculate the unknown side lengths or angles of a triangle. Trigonometry is also useful for working with periodic functions, such as waves and oscillations. The trigonometric functions can be used to model and analyze these periodic phenomena, and to predict future behavior based on past observations. Applications of trigonometry can be found in many areas of science, engineering, and technology, including astronomy, navigation, architecture, surveying, and electronics.
Here,
To find sin(A), we need to use the trigonometric ratios of the sides of the right triangle ABC, where angle A is opposite to side a, angle B is opposite to side b and angle C is opposite to side c. We have sides of the triangle as follows:
a = 72
b = 65
c = 97
To find sin(A), we can use the following formula:
sin(A) = opposite/hypotenuse
In this case, the opposite side of angle A is b and the hypotenuse is c, so we have:
sin(A) = b/c
sin(A) = 65/97
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Complete question:
Find sin(A) when we have sides of the triangle as follows:
a = 72
b = 65
c = 97
each year a company selects a number of employees for a management training program. on average, 40 percent of those sent complete the program. out of the 23 people sent, what is the probability that exactly 7 complete the program?
The probability that exactly 7 employees out of 23 sent complete the program is 0.217 or 21.7%.
In this case, the number of trials is 23, and the probability of success is 0.4 (since, on average, 40% of those sent complete the program). We want to find the probability of exactly 7 successes.
The binomial probability formula is:
P(X=k) = [tex](^n_k) \times p^k \times (1-p)^{(n-k)}[/tex]
Where P(X=k) is the probability of k successes, n is the total number of trials, p is the probability of success, and (n choose k) is the binomial coefficient, which represents the number of ways to choose k successes from n trials.
Using this formula, we can calculate the probability of exactly 7 employees completing the program as follows:
P(X=7) = [tex](^{23} _7) \times 0.4^7 \times (1-0.4)^{(23-7)}[/tex]
= 0.217 or 21.7%
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does anyone know the answer??
The point that partitions segment AB in a 1:4 ratio is (-1, -0.4).
How to determine the coordinates of point Q?In this scenario, line ratio would be used to determine the coordinates of the point Q on the directed line segment AB that partitions the segment into a ratio of 1 to 4.
In Mathematics, line ratio can be used to determine the coordinates of Q and this is modeled by the following mathematical expression:
Q(x, y) = [(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
Substituting the given parameters into the line ratio formula, we have;
Q(x, y) = [(1(7) + 4(-3))/(1 + 4)], [(1(-10) + 4(2))/(1 + 4)]
Q(x, y) = [(7 - 12)/(5)], [(-10 + 8)/5]
Q(x, y) = [-5/5], [(-2)/(5)]
Q(x, y) = [-1, -2/5]
Q(x, y) = [-1, -0.4]
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