The margin of error at the 99% confidence interval is 0.018 or 1.8%.
Interpretation: This means that if we were to repeat the survey many times, about 99% of the intervals calculated from the samples would contain the true proportion of viewers under 30 in the population, and the margin of error for each interval would be no more than 1.8%.
The margin of error is the amount by which the sample statistic (in this case, the proportion of viewers under 30) may differ from the true population parameter.
Using the given formula for margin of error:
Margin of error = z* * sqrt(p*(1-p)/n)
Where:
- z* is the z-score corresponding to the confidence level (99% in this case), which is 2.576
- p is the proportion of viewers under 30, which is 0.3
- n is the sample size, which is 5000
Substituting these values, we get:
Margin of error = 2.576 * sqrt(0.3*(1-0.3)/5000) = 0.018
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Find the value of z that corresponds to the following: a) Area = 0.1210 b) Area = 0.9898 c) 45th percentile
a) The value of z corresponding to an area of 0.1210 can be found using statistical tables or a statistical calculator.
b) Similarly, the value of z corresponding to an area of 0.9898 can be obtained using statistical tables or a statistical calculator.
c) To find the value of z at the 45th percentile, we can use the standard normal distribution table or a statistical calculator.
a) To find the value of z corresponding to an area of 0.1210, you can use a standard normal distribution table or a statistical calculator. By looking up the area of 0.1210 in the table, you can determine the corresponding z-value. For example, if you find that the z-value for an area of 0.1210 is -1.15, then -1.15 is the value of z corresponding to the given area.
b) Similarly, to find the value of z corresponding to an area of 0.9898, you can refer to a standard normal distribution table or use a statistical calculator. Find the z-value that corresponds to the area of 0.9898. For instance, if the z-value for an area of 0.9898 is 2.32, then 2.32 is the value of z corresponding to the given area.
c) To find the value of z at the 45th percentile, you can use a standard normal distribution table or a statistical calculator. The 45th percentile corresponds to an area of 0.4500. By finding the z-value for an area of 0.4500, you can determine the value of z at the 45th percentile. For example, if the z-value for an area of 0.4500 is 0.125, then 0.125 is the value of z at the 45th percentile.
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A clothing store offers a 50% discount at the end of
each week that an item remains unsold. Patrick
wants to buy a shirt at the store and he says, "I've
got a great idea! I'll wait two weeks, have 100%
off, and get it for free!" Explain to your friend
Patrick why he is incorrect and find the correct
percent of discount on the original price of a shirt.
Let the original price of the item be X.
In one week, the price is halved and becomes (1/2)X.
In two weeks, the price is halved again and becomes (1/4)X, which is only 75% off.
I NEED HELP FAST GET BRAINLIEST AND 100 POINTS:
Galvin and Henry spend a certain amount of money from their money box each month to buy plants. The table (function 1) shows the relationship between the amount of money (y) remaining in Galvin’s money box and the number of months (x): Number of Months (x) Amount Remaining (in $) (y) 1 80 2 75 3 70 4 65 The equation (function 2) shows the relationship between the amount of money, y, remaining in Henry’s money box and the number of months, x: Function 2 y = −7x + 80 Which statement explains which function shows a greater rate of change? Function 2 shows a greater rate of change, because Henry spends $7 each month and Galvin spends $5 each month. Function 2 shows a greater rate of change, because Henry spends $80 each month and Galvin spends $15 each month. Function 1 shows a greater rate of change, because Galvin spends $15 each month and Henry spends $73 each month. Function 1 shows a greater rate of change, because Galvin spends $5 each month and Henry spends −$7 each month.
Answer:
Function 2 shows a greater rate of change, because Edwin spends $9 each month and Adam spends $7 each month.
I found this out because for Adam, you simply subtract the y-coordinates from each other and get 7 each time. Edwin clearly shows that he Spends $9 each month with the negative sign.
Step-by-step explanation:
Answer:
Function 2 shows a greater rate of change, because Henry spends $7 per month and Galvin spends $5 per month.
Step-by-step explanation:
Function 1
Money remaining in Galvin's money box:
\(\begin{tabular}{| c | c |}\cline{1-2} Number of Months (x) & Amount Remaining (in \$) (y)\\\cline{1-2} 1 & 80\\\cline{1-2} 2 & 75 \\\cline{1-2} 3 & 70 \\\cline{1-2} 4 & 65 \\\cline{1-2}\end{tabular}\)
We can calculate the rate of change by using this formula:
\(\textsf{rate of change}=\dfrac{\textsf{change in y}}{\textsf{change in x}}\)
\(\implies \textsf{rate of change}=\dfrac{75-80}{2-1}=\dfrac{-5}{1}=-5\)
Therefore, The rate of change of function 1 is -5 which means that Galvin spends $5 per month.
Function 2
Money remaining in Henry's money box:
\(\sf y = -7x+80\)
This is represented as a linear equation: y = mx + b
(where m is the slope or "rate of change" and b is the y-intercept of "initial value)
Therefore, the rate of change of function 2 is -7 which means that Henry spends $7 per month.
Conclusion
Function 2 shows a greater rate of change, because Henry spends $7 per month and Galvin spends $5 per month.
help asap for brainlist.
Step-by-step explanation:
probabilty of open toe=20/340=1/17
0.21x = 252.08 what is x?
Answer:
(x=1200.380952)?????
Concentric circles are internally tangent circles, true or false?
Concentric circles are internally tangent circles which is the true statement.
What is geometry?Geometry is the description of figures in a space with a specific number of dimensions and types. Plane geometry is the most prevalent sort of geometry (dealing with objects like the point, lines, circles, triangles, and polygons)
Concentric circles are circles that have the same center but different radii.
When two concentric circles are drawn, it is possible for them to be internally tangent, meaning that they touch each other at exactly one point and the point of tangency is inside both circles.
In this case, one circle is entirely contained within the other circle.
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the variable socioeconomic status ranges from upper class to lower class and is an example of the select one: a. nominal level of measurement b. ordinal level of measurement c. interval-ratio level of measurement d. ratio level of measurement
The variable socioeconomic status ranges from upper class to lower class and is an example of the interval-ratio level of measurement. (option c)
Ordinal level of measurement is used to categorize variables that can be ranked in a specific order but do not have a uniform difference between them. For instance, a student's class rank can be categorized as first, second, or third. However, there is no uniform difference between the ranks.
Ratio level of measurement is used to categorize variables that have a meaningful zero point. For instance, height, weight, and age have a meaningful zero point.
However, in reality, it is difficult to find a person with zero income or zero education. Therefore, socioeconomic status can be considered an example of interval-ratio level of measurement but not an example of ratio level of measurement.
Hence option (c) is correct.
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6. A dolphin swims at 2.0 km/hr. How far (in meters) will it travel in 1.50 hr?
a. 1,200m
b. 660m
C. 3,000m
d. 3,800m
Answer:
Step-by-step explanation:
1200
change
\(y = \frac{x + 2}{x + 1} \)
into a form of
\(y = \frac{a}{x + p} + q\)
Simple manipulation of the numerator:
\(\dfrac{x+2}{x+1} = \dfrac{(x+1)+1}{x+1} = \dfrac{x+1}{x+1} + \dfrac1{x+1}\)
Then if x ≠ -1, the first term reduces to 1 :
\(\dfrac{x+2}{x+1} = 1 + \dfrac1{x+1}\)
so that a = p = q = 1.
If a1 = and an=an-1-4 then find the value of a4
Answer:
To find the value of a4, we need to use the recursive formula for the sequence. The formula gives us the nth term in the sequence in terms of the (n-1)th term.
We are given that a1 = -7, so we can use the recursive formula to find a2, a3, and a4:
a2 = a1 - 4 = -7 - 4 = -11
a3 = a2 - 4 = -11 - 4 = -15
a4 = a3 - 4 = -15 - 4 = -19
Therefore, the value of a4 is -19.
Is y= 9 + 3x a linear equation
Answer: yes it is a linear equation
Step-by-step explanation:
T/F: if the slope (b) of ŷ is positive, then the correlation coefficient (r) must also be positive.
True. The correlation coefficient (r) must also be positive, indicating a strong positive linear relationship between the two variables.
The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfectly negative linear relationship, a value of 1 indicates a perfectly positive linear relationship, and a value of 0 indicates no linear relationship. If the slope (b) of ŷ is positive, it means that as the independent variable increases, the dependent variable also increases.
In addition to the above explanation, it is important to note that while a positive slope (b) of ŷ indicates a positive linear relationship between two variables, it does not necessarily mean that the correlation coefficient (r) will always be positive. For example, if there is a weak positive linear relationship between two variables, the correlation coefficient (r) may still be positive but not as strong as if there was a strong positive linear relationship. Similarly, there may be situations where the correlation coefficient (r) is positive but the slope (b) of ŷ is not positive, such as in a curvilinear relationship where the relationship between the two variables is not linear.
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A bridge, PR, across a river is 400 m long. Gabe is launching a canoe at point Q.
He will paddle in a diagonal line across the river to point P. He plans to return along a route beside the bridge from P to R, and then along the shore from R back to Q. How far will this be altogether?
Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.
To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.
First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.
The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.
Using the Pythagorean theorem, we have:
x^2 + (width of the river)^2 = PR^2
Since the width of the river is not given, we'll represent it as w. Therefore:
x^2 + w^2 = 400^2
Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.
Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.
To find the total distance, we add up the distances:
Total distance = QP + PR + RQ
= x + 400 + x
= 2x + 400
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What is the area of the bulletin board?
A rectangle with length 4 cubed inches and width 2 cubed inches.
Answer:
8 cubed inches
Step-by-step explanation:
area is equals to length x breath
area= 4*2=8
Express 2. 63636363636…as a rational number, in the form p q where p and Q are positive integers with no common factors. p = _____and q =______
The rational representation of the repeating decimal 2.63636363636... is 29/11 where p = 263 and q = 99.
To express the repeating decimal 2.63636363636... as a rational number in the form p/q, we can observe the repeating pattern and convert it into a fraction. The pattern suggests that the decimal portion is repeating the digits 63.
Let x = 2.63636363636...
Multiplying both sides of the equation by 100, we have 100x = 263.63636363636...
Subtracting x from 100x, we get:
99x = 263
Dividing both sides of the equation by 99, we have:
x = 263/99
Simplifying the fraction, we find that 263 and 99 share no common factors other than 1. Therefore, the rational representation of 2.63636363636... is 263/99, where p = 263 and q = 99.
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choose the graph of the equation y=1/3x
Answer:
it’s the first one
Step-by-step explanation:
rise 1 run 3
Answer: a
i hope this helped! have a good day
Given the figure below, which of the following equations is correct?
A is the correct answer
ok done. Thank to me :>
circle the number sentences that are not true. a. 3/12 = 1/4 b. 1/2 = 5/10 c. 2/6 = 2/5 d. 7/10 = 4/6 e. 9/10 = 11/12
Answer:
c d e
Step-by-step explanation:
Answer:
A: True B:True C:False D:False E:False
Step-by-step explanation:
A consumer charges a $2,530.16 purchase on a credit card. the card has a daily interest rate of 0.042%. if the balance is paid off at the end of 30 days, how much interest will the consumer pay? a. $0.32 b. $3.19 c. $31.88 d. $318.78
The total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.
What is compound interest?Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.
The formula for the final amount with the compound interest formula can be given as,
\(A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\\)
Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.
In the given problem,
A consumer charges a P, $2,530.16 purchase on a credit card. The card has a daily interest rate r of 0.042%. The balance is paid off at the end of 30 days. Thus the time t is 30.Put these values in the above formula as,
\(A=2530.16\times\left(1+\dfrac{0.042}{100}\right)^{30}\\\\A=2562.24\)
The interest amount paid is,
\(I=A-P\\I=2562.24-2530.16\\I=32.08\)
Thus, the total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.
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Answer:
The correct answer is C
Step-by-step explanation:
4^3 ow many ways are there to select five unordered elements from a set with three elements when repetition is allowed
We have to select five elements (r = 5) from a set of three elements (n = 3) where order matters (permutation) and repetition is allowed. Therefore, there are nr = 35 = 243 ways.
So there are 243 ways.
In mathematics, the permutation of a set is, roughly speaking, the arrangement of its members in a sequence or linear order, or the rearrangement of its elements if the set is already ordered. The word "permutation" also refers to the act or process of changing the linear order of an ordered set.
A permutation is the arrangement of objects in a particular order. The members or elements of the set are arranged here in order or linear order. For example, the permutation of the set A={1,6} is 2, such as {1,6}, {6,1}.
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5. Quadrilateral LMNO has coordinates L(5,6),
M(9,8), N(11, 12), and 0(7,10). How can
quadrilateral LMNO be classified?
A. Square
B. rhombus but not a square
C. rectangle but not a square
D. parallelogram but neither a rhombus nor a
rectangle
Answer:
B- Rhombus but not square
Step-by-step explanation:
School sucks balls
Let the supply and demand equations for a certain commodity be the following.
demand: p=√√9-0.1q
supply: p=√0.1q+1 -2
a. Find the equilibrium demand.
b. Find the equilibrium price (in dollars).
a) the equilibrium demand is 122. b) the equilibrium price is $3.63.
How to calculate the equilibrium demand and equilibrium pricea) Equilibrium demand can be gotten by setting the demand equal to the supply:
√√9-0.1q = √0.1q+1 -2
Squaring both sides:
√9 - 0.1q = (0.1q + 1 - 2)²
9 - 0.1q = 0.01q² + 0.98q - 1
0.01q² + 1.08q - 8 = 0
Solving for q using the quadratic formula:
q = (-1.08 ± √(1.08² + 4(0.01)(8))) / (2(0.01))
q = (-1.08 ± 3.52) / 0.02
q = 122 or -130
Since we cannot have a negative quantity, the equilibrium demand is 122.
b) To find the equilibrium price, we can substitute q = 122 into either the demand or supply equation:
p = √√9-0.1q = √√9-0.1(122) ≈ $3.63
Therefore, the equilibrium price is approximately $3.63.
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Data could not be collected on the times to perform a certain task. However, from conversations with persons knowledgeable about the task, it was felt that this random variable has a density function that is skewed to the right. An estimate of the range of the random variable was found to be [13, 35] and the mode was estimated to be 18. Give details how this data can be fitted to a beta distribution.
The data on the times to perform a certain task can be fitted to a beta distribution. The beta distribution is a skewed distribution, which is consistent with the knowledge that the times are skewed to the right.
The mode of the beta distribution is the value that occurs with the highest probability, and in this case the mode is estimated to be 18. The range of the beta distribution is the interval of possible values, and in this case the range is estimated to be [13, 35].
The beta distribution is a continuous probability distribution that has two parameters, alpha and beta. These parameters control the shape of the distribution, and they can be estimated from the data. In this case, the mode of the distribution is known to be 18, so this value can be used to estimate alpha. The range of the distribution is also known, so this value can be used to estimate beta. Once the parameters have been estimated, the beta distribution can be used to generate a probability distribution for the times to perform the task.
This approach can be used to fit any skewed distribution to a beta distribution. The beta distribution is a flexible distribution that can be used to model a wide variety of data.
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Matteo is following this recipe to make a cake.
He wants to make six of these cakes.
How much of each ingredient does he need?
Recipe: Makes 1 cake
8 ounces butter
7 ounces sugar
10 ounces of flour
4 eggs
1 teaspoon (tsp) baking powder
Answer:
48 ounces butter
42 ounces sugar
60 ounces of flour
25 eggs
6 TSP baking powder
7is subtracted from the quotient of 48 divided by th
e sum of 5 & difference of 11 and 8
Answer:
7-48=41
÷
5+11-8
bodmas
5+3=8
41÷8=5.125
Answer:
-1
Step-by-step explanation:
48/(5+(11-8) -7
48/(5+3) -7
48/8 -7
6-7
-1
i hope it helped you. i tried you help you
Directions: Find the simplest ratio given a scenario.
1. A designated hitter made 10 hits in 15 games. Find the simplest ratio of hits to games.
The simplest ratio of hits to games is 2:3.
What are proportions?
In mathematics, a proportion is a statement that two ratios are equal. It expresses the relationship between two or more quantities that are directly proportional to each other. A proportion can be represented as an equation of the form:
a/b = c/d
The simplest ratio of hits to games can be found by dividing the number of hits by the number of games:
Hits/Games = 10/15
To simplify this ratio, we can divide both the numerator and denominator by their greatest common factor, which in this case is 5:
Hits/Games = (10/5) / (15/5) = 2/3
Therefore, the simplest ratio of hits to games is 2:3.
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Tina wrote the equations 3 x minus y = 9 and 4 x + y = 5. What can Tina conclude about the solution to this system of equations?
Answer:
(2, –3) is a solution to the system of linear equations.
Step-by-step explanation:
Given: Equations:
3x - y = 9 --------(1),
4x + y = 5 --------(2),
Add Equation (1) + Equation (2),
3x + 4x = 9 + 5
7x = 14 ( Combine like terms )
x = 2 ( Divide both sides by 7 ),
From equation 1:
3(2) - y = 9
6 - y = 9
-y = 9 - 6 ( Subtraction 6 on both sides )
-y = 3
y = - 3 ( Multiplying -1 on both sides )
Question 16 of 25
Suppose that Ax) = x2 and G(x) = 2/5 x2?.Which statement best compares the
graph of G(x) with the graph of Fx)?
Step-by-step explanation:
.......................................................:<
whats the answer to this ill give brainliest
Answer:
80
Step-by-step explanation:
110-180=70
30+70=100
100-180=80
Answer:
I think the answer is 80
Step-by-step explanation:
DeShawn won 95 pieces of gum playing hoops at the county fair. At school he gave four to every student in his math class. If there are 22 students in his class, HOW MANY PIECES OF GUM DOES HE HAVE NOW?
Answer:
he has 7 pieces left
Step-by-step explanation:
becausebecause if you take 22 and multiply it by 4 and then you get 88 then you take 95 and subtract 88 from 95 and you get seven
Answer:
Ok this is basic 6th grade math!
Step-by-step explanation:
In total he has 95 pieces of gum
He gave 4 to each student in his class and there are 22 kids. 22 x 4 = 88
88 is how much he gave away so, 95 - 88 = 7
He has 7 pieces of gum left