According to the bureau of justice statistics, 10% of persons age 16 or older had been victims of identity theft during the prior 12 months in 2016. 200 is the minimal sample size of a random sample of persons age 16 or older to generate a normal distribution approximation.
In order to generate a normal distribution approximation from a sample of persons aged 16 or older, a minimum sample size of 200 individuals would be necessary. This number is based on the assumption that 10% of persons aged 16 or older had been victims of identity theft in 2016, according to the Bureau of Justice Statistics.
The normal distribution approximation of a population is determined by obtaining a random sample of the population, and using it to approximate the probability distribution of a given variable. The larger the sample size, the more accurate the approximation will be, so a sample size of 200 individuals is the minimum required to generate a normal distribution approximation.
In order to obtain a random sample, the population must be divided into subgroups and a certain number of individuals from each group should be selected. A larger sample size will be more representative of the population and will improve the accuracy of the approximation.
In conclusion, a minimum sample size of 200 individuals would be necessary in order to generate a normal distribution approximation of persons aged 16 or older in 2016, based on the Bureau of Justice Statistics finding that 10% of persons aged 16 or older had been victims of identity theft during the prior 12 months in 2016.
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A little help :) Appreciated - 30 points (Reupload)
Answer:
See below!
Step-by-step explanation:
a) 1, 2, 3, 4, 5
The possible outcomes are all the options that there are on the spinner
b) 2
There are only 2 even numbers!
c) [tex]\frac{2}{5}[/tex] or 0.4
There are 2 out of 5 numbers are even on the spinner so that must be the solution!
d) 1
The spinner has only one multiple of 3, so the possible outcome should also be 1.
e) [tex]\frac{1}{5}[/tex] or 0.2
There are only 1 out of 5 options which are multiples of 3, so that would be our solution
f) 4
There are 4 prime numbers in the spinner (1, 2, 3, 5), so that would be a possible outcome.
g) [tex]\frac{4}{5}[/tex] or 0.8
The spinner has 4 out of 5 prime numbers, so our answer would be that!
Hope this helps, have a lovely day! :)
axel has figured out that his maximum heart rate (mhr) is 205. what is the range of his training zone?
The range of Axel's training zone, assuming a moderate exercise intensity, would be approximately 123 to 164 beats per minute (BPM).
To calculate this range, we use the Karvonen formula, which takes into account Axel's resting heart rate (RHR) and desired training intensity. Assuming a moderate-intensity workout, we can use a target heart rate range of 60% to 80% of his MHR.
Target Heart Rate = ((MHR - RHR) x %Intensity) + RHR
Assuming a resting heart rate of 65 BPM and moderate intensity of 60% to 80% of his MHR, Axel's target heart rate range would be approximately 123 to 164 BPM.
Therefore, the range of Axel's training zone would be approximately 123 to 164 BPM.
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at 95% confidence, how large a sample should be taken to obtain a margin of error of 0.04 for the estimation of a population proportion? assume that past data are not available for developing a planning value for p*. (round your answer up to the nearest whole number.)
A sample size of at least 61 should be taken to obtain a margin of error of 0.04 for the estimation of a population proportion at a 95% confidence level.
Given data:
To determine the sample size required for estimating a population proportion with a given margin of error at a 95% confidence level, you can use the following formula:
[tex]n=\frac{Z^2 \cdot p(1-p)}{E^2}[/tex]
n is the required sample size.
Z is the Z-score corresponding to the desired confidence level. For a 95% confidence level, the Z-score is approximately 1.96.
p is an estimate of the population proportion (since you don't have prior data, you can use p =0.5 for maximum variability, which results in the largest sample size requirement).
E is the desired margin of error, which is 0.04 in this case.
Substitute the values into the formula:
[tex]n=\frac{1.96^2*0.5^2}{0.04^2}[/tex]
The value of n = 60.26
Since the sample size is a whole number, n = 61
Hence, a sample size of at least 61 should be taken for the estimation of a population proportion at a 95% confidence level.
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The image shows the graph of the circle
Image of prob below:
Answer:
The line y = 2 - 5/20 can be simplified to y = 2 - 1/4 = 7/4.
Substituting y = 7/4 into the equation of the circle, we get:
(x - 5)² + (7/4 + 1)² = 25
(x - 5)² + (15/4)² = 25
(x - 5)² = 25 - (15/4)²
x - 5 = ±√(25 - (15/4)²)
x = 5 ± √(25 - (15/4)²)
Simplifying, we get:
x = 5 ± √(400/16 - 225/16)
x = 5 ± √(175/16)
x = 5 ± (√175)/4
Therefore, the two intersection points are:
Left point: (5 - (√175)/4, 7/4)
Right point: (5 + (√175)/4, 7/4)
ON.4 Find missing angles in quadrilaterals 6V4
O
One angle of a parallelogram measures 70°. What are the measures of the other three angles
in the parallelogram?
Submit
T
Learn with an example
o, and
or Watch a video O
Work it out
Answer:
Hi There the answer for this one would be 20 and 90
Step-by-step explanation:
at the farmers market there is a large pile of small cauliflowers. the mean weight of these cauliflowers is 400 grams with a standard deviation of 20 grams. assume the weight of theses cauliflowers is normally distributed. which has a greater probability, the mean weight of an individual cauliflower being between 400 and 409 grams or the mean weight of a random sample of 36 of the cauliflowers being between 400 and 409 grams?
The mean weight of an individual cauliflower being between 400 and 409 grams has a greater probability.
Standard deviation of the given data is 20 grams. The mean weight of the cauliflower is 400 grams. Now, for calculating the probability, we need to standardize the given mean weight of cauliflower. It will be as follows. Z-score for the mean weight of cauliflower is given as:
z = (X - μ) / σwhere X = 400 grams (mean weight of cauliflower)
μ = 400 grams (mean weight of the population)
σ = 20 grams (standard deviation)z = (400 - 400) / 20 = 0
Now, the probability of the mean weight of an individual cauliflower being between 400 and 409 grams is as follows:
P(400 < X < 409) = P(0 < Z < 0.45)
Using the standard normal distribution table, the probability is 0.1745.
The mean weight of a random sample of 36 of the cauliflowers is between 400 and 409 grams. The mean weight of a random sample of 36 of the cauliflowers is given by:
(X-μ)/ (σ/√n)where μ = 400 grams (mean weight of cauliflower)
σ = 20 grams (standard deviation)
n = 36 (number of samples)
Now, we need to standardize the sample mean. It will be as follows:
z = (X - μ) / (σ/√n)z = (400 - 400) / (20 / √36)
z = 0
As the z-score is zero, the probability will be equal to 0.5. Hence, the mean weight of an individual cauliflower being between 400 and 409 grams has a greater probability than the mean weight of a random sample of 36 of the cauliflowers being between 400 and 409 grams.
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make your first point the origin. what does your second point have to be to get an output of 5 from the function?
To get an output of 5 from a function, the second point must be at a distance of 5 units above the x-axis.
The function represents the relationship between the inputs and the outputs. The function's domain is the set of all possible input values, while the range is the set of all possible output values. The function's graph is the set of all ordered pairs (x, y), where x is the input and y is the output.To get an output of 5 from the function, the second point must be at a distance of 5 units above the x-axis. This implies that the y-value of the second point is 5. The x-value of the second point is arbitrary, and it can be any value. The point (0,5) is an example of a point that is 5 units above the x-axis.
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2x^4 −15x^3 +27x^2 +2x +8 is divided by x−4
Answer:
Step-by-step explanation:
Standard: 2x^3 - 7x^2 -x-2
Quotient: 2x^3- 7x^2 -x-2
remainder: 0
No idea how to use this app tbh
Answer:
-10
Step-by-step explanation:
I added a photo of my solution
Answer:
Answer is -10
Step-by-step explanation:
a random sample of 150 teachers in an inner-city school district found that 72% of them had volunteered time to a local charitable cause within the past 12 months. what is the standard error of the sample proportion?
The standard error for the sample proportion of 150 teachers in an inner-city school district is found to be 0.037.
The formula for the calculation of the standard error of a sample proportion is below,
SE = √((p × (1 - p)) / n)
Here,
SE is the standard error of the sample proportion
p is the sample proportion (in decimal form)
n is the sample size
In the mentioned case, the sample proportion is 0.72 (since 72% of 150 is 108), and the sample size is 150. Substituting these values into the formula, we will be getting,
SE = √((0.72 × (1 - 0.72)) / 150)
SE = √((0.2052) / 150)
SE = √(0.001367)
SE = 0.037
Therefore, the standard error of the sample proportion is 0.037.
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if all multiples of 3 and all multiples of 4 are removed from the list of whole numbers 1 through 100, then how many whole numbers are left?
Answer:
The lowest common multiple 3 and 4 is 12.
Step-by-step explanation:
The total multiples of both 3 and 4 between 1 - 100 are 100/12 = 8 4/12 i.e. 8.
a drug for the relief of asthma can be purchased from 10 different manufacturers in liquid, tablet, or capsule form, all of which come in regular and extra strength. how many different ways can a doctor prescribe the drug for a patient suffering from asthma?
So there are 200 different ways a doctor can prescribe the asthma drug to a patient, taking into account the various options for form, manufacturer, and strength.
This illustrates the importance of carefully considering all the available options and selecting the most appropriate prescription for each patient's unique needs.The number of different ways a doctor can prescribe the asthma drug to a patient depends on the number of options available for each of the three factors: form, manufacturer, and strength.
For each of the three factors, there are 10 different options. Therefore, the total number of different ways the doctor can prescribe the drug is the product of the number of options for each factor:
10 options for form x 10 options for manufacturer x 2 options for strength (regular or extra) = 200 total options.
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David has a coin collection. He keeps 11 of the coins in his box, which is 5% of the
collection. How many total coins are in his collection?
Insert the values given in the problem then scale up or down
to find the missing value.
coins
percent
100
Scaling up, David has 220 coins in his collection with 5% of 11 of the coins kept in his box.
What is a scale up?A scale up represents an increase or growth.
Scale factors are ratios comparing two quantities or values.
Proportionately, if 5% represent 11 coins, 100% will be 220 coins.
The number of coins David keeps in his box = 11
The percentage of the coins kept in the box = 5%
Thus, proportionately, 11 = 5%; therefore, 100% = 220 (11 ÷ 5%).
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State the coordinates of the point.
in a congressional district, 55% of the registered voters are democrats. which of the following is equivalent to the probability of getting less than 50% democrats in a random sample of size 100?
A. P( z< 50 — 55/ 100 )
B. P( z< 50 — 55/ √55(45)/100)
C. P( z< 55 — 5 / √55(45)/100)
D. P( z< 50 — 55/√100(55) (45))
The correct answer to the question, "Which of the following is equivalent to the probability of getting less than 50% democrats in a random sample of size 100?" is: B. P( z < 50 — 55/ √55(45)/100).
To find the probability, we first calculate the z-score using the formula:
z = (x - μ) / σ
where x is the value (50%), μ is the mean (55%), and σ is the standard deviation.
The standard deviation can be calculated as:
σ = √(np(1-p))
where n is the sample size (100) and p is the proportion of democrats (0.55).
Now, plug in the values into the z-score formula:
z = (50 - 55) / √(100 * 0.55 * 0.45)
The probability is then found as P(z < z-score), which is represented by the option B.
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number 5 goes through the device and the result is 25 . what would a possible rule for machine B be ?
Answer: multiplied by 5 or squared
Step-by-step explanation:
If the number 5 goes in and 25 is the result, the rule could be multiplying by 5 or squaring the number that goes in (input).
5 x 5 = 25
5^2 = 25.
in a test measuring the life span of a certian brand of tire, 100 tires are tested. the results showed an averaged lifetime of 50,000 miles, with a standard deviation of 5,000 miles. estimate the 95% confidence interval on the mean: 50,000 - miles (round up all decimal places)
We can say with 95% confidence interval that the true mean lifetime of the tires is between 49,020 and 50,980 miles.
To calculate the confidence interval, we use the formula:
CI = x-bar ± z* (σ/√n)
where x-bar is the sample mean (50,000 miles), z is the z-score associated with the desired confidence level (in this case, 1.96 for 95% confidence level), σ is the standard deviation (5,000 miles), and n is the sample size (100).
Plugging in the values, we get:
CI = 50,000 ± 1.96*(5,000/√100)
Simplifying the expression, we get:
CI = 50,000 ± 980.
Therefore, we can say with 95% confidence that the true mean lifetime of the tires is between 49,020 and 50,980 miles.
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A candy store uses 10. 3 grams of sugar each hour. How many grams of sugar will the store use in 10 hours?
The candy store will use 103 grams of sugar in 10 hours.
To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).
To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.
We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.
So the calculation would be:
10.3 grams/hour x 10 hours = 103 grams
Therefore, the candy store will use 103 grams of sugar in 10 hours.
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The total number of cookies,y, contained in x packages can be represented by the equation y = 24x. Which of the following graphs best represents this situation?
The graph for the linear equation y=24x, will be a straight line having coordinate (1,24) i.e. B.
What is a linear equation, exactly?
A linear equation is a first-degree algebraic equation in which each term is either a constant or the product of a constant and a single variable (degree 1). A linear equation is stated as y = mx + b, where y is the dependent variable, x is the independent variable, m is the line's slope, and b= y-intercept .
A linear equation's graph is a straight line. The line's slope decides how steep it is, and the y-intercept indicates where the line crosses the y-axis. Linear equations are used to model relationships between variables that are directly proportional to each other, such as distance and time, or cost and quantity.
Now,
Given equation is y=24x
then for x, y is
1, 24
2, 48
3, 72
4, 96
Hence, the graph will be as represented in option 2.
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Bob works at Goodburger and gets a 20% discount. He wants to buy a burger that has a menu price of $4.75. What will his discount be?
Answer:
20÷100×4.75=0.95
4.75-0.95=$3.8
Answer:
i got 4.55$
Step-by-step explanation:
i just converted the percentage (20%) and then subtracted that number (0.2) from the original price (4.75$)
Help explain how to solve
The value of the angle U in the triangle is 92.10 degrees.
How to find the angle in a triangle?The angle U in the triangle can be found using cosine rule as follows:
Let's use cosine formula to find the angle U
c² = a² + b² - 2ab cos C
Hence,
Therefore,
a = 58.8
b = 38.4
c = 71.4
Hence,
71.4² = 58.8² + 38.4² - 2(58.8)(38.4) cos U
5097.96 = 3457.44 + 1474.56 - 4515.84 cos U
5097.96 - 4932 = - 4515.84 cos U
165.96 = - 4515.84 cos U
divide both sides by - 4515.84
cos U = 165.96 / - 4515.84
cos U = - 0.03675063775
U = cos⁻¹ - 0.03675063775
U = 92.1032274244
Therefore,
U = 92.10 degrees
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What percentage of people would exed to score higher than a 2.5, but lower than 3.5? The mean: X=3.00 The SDis= + 0.500 18% 999 o 50% 03%
Therefore, approximately 68.26% of people are expected to score higher than 2.5 but lower than 3.5.
Based on the information provided, the mean (X) is 3.00 and the standard deviation (SD) is 0.50. To find the percentage of people expected to score higher than 2.5 but lower than 3.5, we will use the standard normal distribution (z-score) table.
First, we need to calculate the z-scores for both 2.5 and 3.5:
z1 =[tex] (2.5 - 3.00) / 0.50 = -1.0[/tex]
z2 = [tex](3.5 - 3.00) / 0.50 = 1.0[/tex]
Now, we can use the standard normal distribution table to find the probability of the z-scores. For z1 = -1.0, the probability is 0.1587 (15.87%). For z2 = 1.0, the probability is 0.8413 (84.13%).
To find the percentage of people expected to score between 2.5 and 3.5, subtract the probability of z1 from the probability of z2:
Percentage = [tex](0.8413 - 0.1587) x 100 = 68.26%[/tex]
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HELP IS DUE TODAY!!!!!!!!!!!!!!!!!!
Using expressions,
4a. x= 0 is not possible.
4b. x= 1 is not possible.
5a. (9x-5)(9x+5)
5b. (x-3)(2x+1)
6. 1/(3x-7)
7a. x = (-5,∞)
7b. x = (∞,2]
7c. x = (-3,7]
What are expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.
Let's examine the writing of expressions.
The other number is x, and a number is 6 greater than half of it.
As a mathematical expression, this proposition is denoted by the expression x/2 + 6.
Here the values of x has to be such that the denominator is not equal to zero.
So, x cannot be zero and x cannot be 1 as these two values in the respective questions will make the denominator zero.
a. 81x²-25
= 81x² + 45x-45x-25
=9x(9x+5)-5(9x+5)
= (9x-5)(9x+5)
b. 2x²-5x-3
= 2x² + x - 6x -3
= x(2x+1)-3(2x+1)
=(x-3)(2x+1)
Next, the intervals for x are as follows:
x = (-5,∞)
x = (∞,2]
x = (-3,7]
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PLS HELP ASAP .a vacuum cleaner costs the owner $220 to buy. They then mark up the cost to sell it by 30%. What as the amount of the mark up? What is the selling price?
The amount of the mark up is $66 and the selling price is $286.
What is markup percentage?The amount by which a product's cost is raised to determine its selling price is known as the markup percentage. Usually, it is represented as a percentage of the item's price. Markup percentage is determined by the following equation:
Markup percentage = (Selling price - Cost price) / Cost price x 100%
Given that, the mark up is 30%.
Thus,
Mark up = 0.3 x $220 = $66
The selling price is:
Selling price = $220 + $66 = $286
Hence, the amount of the mark up is $66 and the selling price is $286.
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A two-sided t-test for a population mean is conducted of the null hypothesis H0 : μ = 100. If a 90 percent t-interval constructed from the same sample data contains the value of 100, which of the following can be concluded about the test at a significance level of a = 0.10 ?A. The p-value is less than 0.10, and H0 should be rejected.B. The p-value is less than 0.10, and H0 should not be rejected.C. The p-value is greater than 0.10, and H0 should be rejected.D. The p-value is greater than 0.10, and H0 should not be rejected.
Option D is correct, the p-value is greater than 0.10, and H₀ should not be rejected.
What is Null hypothesis?The null hypothesis is denoted as H₀, is a statement or assumption that suggests there is no significant or meaningful relationship between two variables in a statistical hypothesis test.
If a 90 percent t-interval constructed from the sample data contains the value of 100, it means that the sample mean is within the confidence interval.
Since the null hypothesis H₀: μ = 100 is also assuming that the population mean is 100, this suggests that the sample data is consistent with the null hypothesis.
Given a significance level of α = 0.10, we compare the p-value with this significance level to make a conclusion.
If the 90 percent confidence interval contains the hypothesized value (100 in this case), it suggests that the p-value is likely to be greater than 0.10.
There is insufficient evidence to reject the null hypothesis at a significance level of 0.10.
Therefore, the p-value is greater than 0.10, and H₀ should not be rejected.
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which set of integers is a pythagorean triple? question 1 options: 10, 24, 25 9, 12, 21 8, 15, 23 6, 8, 10
The set of integers is a Pythagorean triple are option (A) 10, 24, 25 and (D) 6, 8, 10
A Pythagorean triple is a set of three positive integers a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right triangle.
Let's check each set of integers
A. 10^2 + 24^2 = 100 + 576 = 676 = 25^2. Therefore, (10, 24, 25) is a Pythagorean triple.
B. 9^2 + 12^2 = 81 + 144 = 225 = 15^2. Therefore, (9, 12, 15) is a Pythagorean triple. However, the set given is (9, 12, 21), which is not a Pythagorean triple.
C. 8^2 + 15^2 = 64 + 225 = 289 = 17^2. Therefore, (8, 15, 17) is a Pythagorean triple. However, the set given is (8, 15, 23), which is not a Pythagorean triple.
D. 6^2 + 8^2 = 36 + 64 = 100 = 10^2. Therefore, the set of integers (6, 8, 10) is a Pythagorean triple.
Therefore, the correct options are (A) 10, 24, 25 and (D) 6, 8, 10
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The given question is incomplete, the complete question is:
Which set of integers is a Pythagorean triple?
A.
10, 24, 25
B.
9, 12, 21
C.
8, 15, 23
D.
6, 8, 10
100 points please bell
The quadratic equation in standard form is 4x² + x + 19 = 0.
What is an equation?A mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("="). The two most well-known groups of equations in algebra are the linear equations and the polynomial equations. The phrase "equation in one variable" refers to an equation with just one variable. The following are a few crucial equation types: Linear equations, Quadratic equations, Cubic equation, and Quartic equations.
The standard form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
-4x² - 19 = x
Add 4x² on both sides of the equation:
-19 = 4x² + x
Add 19 on both sides of the equation:
4x² + x + 19 = 0
Hence, the quadratic equation in standard form is 4x² + x + 19 = 0.
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James invested 20,000 for one year and earned 1470 interest. If part of the money is invested at 10% and the remainder is invested at 6% how much is the invested at each rate
Linear equation.
Answer:
Let's represent the amount invested at 10% as x and the amount invested at 6% as y. Then we can set up a system of two equations to represent the given information:
x + y = 20,000 (since the total amount invested is 20,000)
0.10x + 0.06y = 1,470 (since the interest earned is 1,470 and the interest rate at which x is invested is 10% and the interest rate at which y is invested is 6%)
We can use the first equation to solve for one of the variables in terms of the other:
x = 20,000 - y
Now we can substitute this expression for x into the second equation and solve for y:
0.10(20,000 - y) + 0.06y = 1,470
2,000 - 0.10y + 0.06y = 1,470
-0.04y = -530
y = 13,250
So $13,250 was invested at 6%. We can find the amount invested at 10% by plugging in this value of y into the first equation:
x + 13,250 = 20,000
x = 6,750
So $6,750 was invested at 10%.
Hey! I need help on this question and I would be so happy if you helped me!
Answer: Answer is below <3
Step-by-step explanation:
Which figure has the greater volume?A
Which figure has the greater surface area?B
Which figure has fewer edges?A
I hope this is correct, I'm sorry if its wrong :(
Determine the value of X
Answer:
x = 26.
Step-by-step explanation:
Given: 2x + 3x + 50 = 180
First, write it down:
2x + 3x + 50 = 180
Then, collect like terms:
2x + 3x = 180 - 50
Then calculate:
5x = 130 (Divide both sides by 5)
x = 26