The random variable x in this case is a binomial random variable, representing the number of cars that need to be inspected until a car fails an inspection. A binomial random variable is defined as the number of successes, “s”, in “n” independent trials. In this case, “s” would be 1 (the single failure) and “n” would be the number of cars that John inspects until a car fails inspection.
The probability of success, “p”, in this case is 0.06 since 6% of cars fail inspection. The probability of failure is “q”, which would be 0.94 in this case (1 - 0.06). The mean, “μ”, of the random variable x is equal to n * p, or the total number of trials times the probability of success. In this case, the mean would be equal to n * 0.06, or 6%.
The variance, “σ2”, of the random variable x is equal to n * p * q, or the total number of trials times the probability of success times the probability of failure. In this case, the variance would be equal to n * 0.06 * 0.94, or 5.64%.
The binomial random variable x can be used to calculate the expected number of inspections it will take John until a car fails an inspection, as well as the probability of a car failing an inspection. By knowing the probability of success, the number of trials, and the probability of failure, we can calculate the mean, variance, and expected value of the binomial random variable x.
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PLEASE HELP!
Jasmine invests $2658 in a retirement home account with a fixed annual interest rate of 9% compounded 4 times annually what will be the account balance after 5 years?
Work Shown:
A = P*(1+r/n)^(n*t)
A = 2658*(1+0.09/4)^(4*5)
A = 2658*(1+0.0225)^(20)
A = 2658*(1.0225)^(20)
A = 2658*1.56050920068472
A = 4147.83345541997
A = 4147.83
1. Representar en GeoGebra las funciones dadas y determinar comprobando analíticamente: a. Tipo de función b. Dominio y rango c. Asíntotas, tanto vertical y horizontal, si las tiene: [tex]f(x)=\frac{2x^{2}-4}{x^{2}-4 }[/tex]
The given functions in GeoGebra and determine by analytically checking:
a. function type is [tex]f(x) =\frac{2x^2-4}{x^2-4}[/tex]
b. Domain and range Range (-2, +2).
c. Asymptotes is HA = 2 and VA = ±2
The function y = f( x) is classified into different types of functions, grounded on factors similar as the sphere and range of a function, and the function expression. The functions have a sphere x value that's appertained as input. The sphere value can be a number, angle, numeric, bit.
[tex]f(x) =\frac{2x^2-4}{x^2-4}[/tex]
Functions in mathematics can be compared to the operations of a dealing (soda pop) machine. When you put in a certain quantum of plutocrat, you can elect different types of tonics. also, for functions, we input different figures and we get new figures as the result. sphere and range are the main aspects of functions.
[tex]f(x) =\frac{2x^2-4}{x^2-4}[/tex]
x² = 4
x = ± 2
Range (-2, +2).
An asymptote is a line being approached by a wind but noway touching the wind. i.e., an asymptote is a line to which the graph of a function converges. We generally don't need to draw asymptotes while graphing functions. But graphing them using dotted lines( imaginary lines) makes us take care of the wind not touching the asymptote. Hence, the asymptotes are just imaginary lines.
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Complete question:
Represent the given functions in GeoGebra and determine by analytically checking: a. function type b. Domain and range c. Asymptotes, both vertical and horizontal, if it has them:
Help please Hurry
Brenda throws a dart at this square shaped target: Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer and show your work. (5 points)
Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer and show your work. (5 points)
The probability of hitting the black circle is closer to 0 and the probability of hitting the white portion of the target is closer to 1.
What is probability?
Probability refers to the numerical measure of the likelihood or possibility of a specific event taking place. It is a mathematical concept that involves calculating the ratio of the number of desired outcomes to the total number of possible outcomes. Probability ranges from 0 (representing an impossible event) to 1 (representing a certain event), with values in between indicating the degree of likelihood. Probability is widely used in various fields, including mathematics, statistics, science, engineering, finance, and social sciences, to make predictions, analyze data, and make decisions under uncertainty.
Explanation of the given questions :
Part A: The black circle has a radius of 1 unit and its center is the same as that of the square. Therefore, its diameter is 2 units, which is much smaller than the side length of the square, which is 11 units. This means that the area of the circle is much smaller than the area of the square.
Therefore, the probability of hitting the black circle is closer to 0.
Part B: The white portion of the target is the area of the square minus the area of the black circle. The area of the square is [tex]11 x 11 = 121[/tex] square units.
The area of the circle is [tex]\pi \times r^2 = \pi\times 1^2 = \pi[/tex] square units, which is approximately 3.14 square units. Therefore, the area of the white portion of the target is [tex]121 - 3.14 = 117.86[/tex] square units.
Since this is much larger than the area of the black circle, the probability of hitting the white portion of the target is closer to 1.
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the probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random. complete parts (a) through (d).
The probabilities of different events related to the type B' blood in four randomly selected people from the United States are 0.000207, 0.0600, 0.400. The events in parts (a) and (b) are considered unusual.
The probability that a person in the united states has type b* blood is 12%. four unrelated people in the united states are selected at random of different scenarios are calculated.
The probability that all four have type B' blood is 0.000207, The probability that none of the four have type B' blood is 0.0600, The probability that at least one of the four has type B' blood is 0.400, The events in parts (a) and (b) can be considered unusual because their probabilities are less than or equal to 0.05.
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_____The given question is incomplete, the complete question is given below:
The probability that a person in the United States has type B' blood is 12 % Four unrelated people in the United States are selected at random Complete parts (a) through (d) The probability that all four have type B' blood is 000207 (Round to six decimal places as needed) (b) Find the probability that none of the four have type B' blood The probability that none of the four have type B' blood is 0600 (Round to three decimal places as needed) (c) Find the probability that at least one of the four has type B' blood The probability that at least one of the four has type B' blood is 400 (Round to three decimal places as needed) (d) Which of the events can be considered unusual? Explain Select all that apply OA The event in part (a) is unusual because its probability is less than or equal to 0.05 OB. The event in part (c) is unusual because its probability is less than or equal to 0.05 O C. None of these events are r uual O D. The event in part (b) is unusual because its probability is less than or equal to 0.05 Click to select your answer and then click Check Answer
Simplify. Remove all perfect squares from inside the square root. 18
I need help ASAP please Just looking for an answer
Answer:
B
Step-by-step explanation:
noah sold 30 avocados that were small and large. he sold the small avocados for 35 cents and the large ones for 50 cents. if noah made $13.50, how many of each kind did he sell?
Noah sold 10 small avocados and 20 large avocados.
Let's assume that Noah sold "x" small avocados and "y" large avocados.
From the given information, we can write two equations:
x + y = 30 (since Noah sold a total of 30 avocados)
0.35x + 0.50y = 13.50 (since Noah made $13.50)
Now, we can use any method to solve these equations, such as substitution or elimination. Here, we will use the substitution method:
From the first equation, we can write:
x = 30 - y
Substituting this value of x in the second equation, we get:
0.35(30 - y) + 0.50y = 13.50
Simplifying this equation, we get:
10.50 - 0.35y + 0.50y = 13.50
0.15y = 3
y = 20
Substituting this value of y in the equation x = 30 - y, we get:
x = 30 - 20 = 10
Therefore, Noah sold 10 small avocados and 20 large avocados.
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Write an expression that represents the difference between the fat in a cookie from the new recipe and the target fat content
The expression represents the constraint that the amount of fat in the cookie should not deviate from the target fat content by more than 1.8 grams per cookie is |f - 5| ≤ 1.8
To express the difference between the fat in a cookie from the new recipe and the target fat content, we can use an expression. Let's represent the amount of fat in a cookie from the new recipe as f. Then, the difference between the fat in the cookie and the target fat content of 5 grams per cookie can be expressed as:
|f - 5|
The vertical bars around the expression indicate the absolute value, which means that we want the difference to be positive, regardless of whether f is greater or less than 5.
Now, we also know that the company will accept a difference of up to 1.8 grams per cookie. This means that the expression above should be less than or equal to 1.8:
|f - 5| ≤ 1.8
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Complete Question:
The Billing sly Cookie Company is experimenting with a new low-fat cookie recipe. The management wants the bakers to come up with a cookie that is low in fat but still has good taste. The company decides on a target fat content of 5 grams per cookie. In order to be labeled low-fat, a difference of 1.8 grams per cookie is acceptable. This means the amount of fat should be no more than 1.8 grams above 5 or no more than 1.8 grams below 5.
Write an expression that represents the difference between the fat in a cookie from the new recipe and the target fat content. Use f to represent the amount of fat in a cookie from the new recipe.
Please help with 14!! 30 points please give a correct answer
Answer:
r=8
Step-by-step explanation:
a. -3(6-r)=6
-18+3r=6
3r=6+18
3r=24
r=[tex]\frac{24}{3}[/tex]
r=8
b. 3r instead of -3r
During the first year she owned her car, Barbara spent $732 on repairs and maintenance. She spent $1,377 the second year she owned the car. What was the percentage
increase in maintenance and repair costs from the first year to the second year (to the nearest whole percent)?
79%
84%
88%
92%
None of these choices are correct.
There was 88% increase in maintenance and repair costs from the first year to the second year. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
The four fundamental operations, often referred to as "arithmetic operations", are thought to be able to properly represent all real numbers. The mathematical operations quotient, product, sum, and difference come after division, multiplication, addition, and subtraction.
We are given that during the first year she owned her car, Barbara spent $732 on repairs and maintenance and she spent $1,377 the second year she owned the car.
So, the more amount she spent in the second year is obtained using subtraction operation which gives:
⇒ $1,377 - $732
⇒ $645
Now, the percentage increase is
⇒ $645 ÷ 7.32
⇒ 88.11%
Hence, there was 88% increase in maintenance and repair costs from the first year to the second year.
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A random survey of enrollment at 35 community colleges across the United States yielded the following figures:
6,414; 1,550; 2,109; 9,350; 21,828; 4,300; 5,944; 5,722; 2,825; 2,044; 5,481; 5,200; 5,853; 2,750; 10,012; 6,357; 27,000; 9,414; 7,681; 3,200; 17,500; 9,200; 7,380; 18,314; 6,557; 13,713; 17,768; 7,493; 2,771; 2,861; 1,263; 7,285; 28,165; 5,080; 11,622.
Assume the underlying population is normal.
a.
i. = __________
ii. sx = __________
iii. n = __________
iv. n – 1 = __________
b. Define the random variables X and in words.
c. Which distribution should you use for this problem? Explain your choice. d. Construct a 95% confidence interval for the population mean enrollment at community colleges in the United States.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
e. What will happen to the error bound and confidence interval if 500 community colleges were surveyed? Why?
The larger sample size also reduces the impact of individual outliers, which could potentially skew the results. Therefore, increasing the sample size will result in more reliable results, and a smaller error bound and confidence interval.
The error bound (E) for the sample size of 35 community colleges is calculated using the formula: E =[tex]1.96 * √[p*(1-p)/n].[/tex]
With n = 35, p = 0.5 (assuming the mean of the enrollment figures is 0.5), the error bound is calculated to be E = 0.823.
If the sample size is increased to 500 community colleges, the error bound would be reduced to 0.338. This is because the larger the sample size, the smaller the error bound. The confidence interval would also be reduced, since it is directly proportional to the error bound.
In practical terms, a larger sample size means more reliable results. This is because when the sample size is increased, the results tend to be more representative of the entire population, leading to more accurate conclusions.
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what is the probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud?
There is a 95% probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud.
To find the probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud, we need to use the formula for the margin of error:
[tex]$$E = z_{\alpha/2}\sqrt{\frac{p(1-p)}{n}}$$[/tex]
where E is the margin of error, [tex]$z_{\alpha/2}$[/tex] is the critical value for the desired confidence level (let's assume 95%, so [tex]$z_{\alpha/2} = 1.96$[/tex]), p is the population proportion of websites experiencing click fraud, and n is the sample size.
We know that p=0.15, so we can plug in the values:
[tex]$$E = 1.96\sqrt{\frac{0.15(1-0.15)}{400}} = 0.05$$[/tex]
So the margin of error is 0.05. This means that there is a 95% probability that the sample proportion will be within 0.05 of the population proportion experiencing click fraud.
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20 points and brainly fast please!
Answer:
C
Step-by-step explanation:
when the finite population correction factor is applied to the sample mean, the resulting standard error for the sample mean is equal to
The finite population correction factor (FPC) is a factor used when the sample size is more than 5% of the population size. It corrects for the bias that can occur when taking a sample from a finite population.
Applying the FPC to the sample mean results in the standard error for the sample mean being equal to the population standard deviation divided by the square root of the sample size times the FPC.
In other words, the standard error for the sample mean is equal to:
Standard Error = Population Standard Deviation/√(Sample Size*FPC)
The FPC is calculated by taking the reciprocal of the following formula:
FPC = (N-n)/(N-1), where N is the population size and n is the sample size.
In conclusion, applying the FPC to the sample mean reduces the bias that can occur when taking a sample from a finite population, and the resulting standard error for the sample mean is equal to the population standard deviation divided by the square root of the sample size times the FPC.
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What is the weight of a 48 kg girl on Earth? Round the answer to the nearest whole number.
___N
Answer:
remember, in order to calculate the weight on earth, we need to multiply the mass of the object with the force of Gravity (9.8 m/s^2 on earth)
so, her weight would be:
48 x 9.8 = 470.4 >>>>>>> Will be 470 if we round it to the nearest whole number.
Step-by-step explanation: Hope this helps. Mark me brainliest!! :)))
Answer: 470
Step-by-step explanation:
kevin and micah collect seashells on the beach. the table shows the number of broken and whole seashells each person collects. if kevin collects 200 shells and micah collects 100 shells, who would be expected to have more whole seashells?
Kevin is expected to have more whole seashells, with [tex]75[/tex]% of his collection being whole seashells, compared to Micah's [tex]60[/tex]%.
What is the ratio?To determine who is expected to have more whole seashells, we need to compare the ratio of whole seashells to the total number of seashells collected for each person.
Person Whole Seashells Broken Seashells Total Seashells
Kevin 150 50 200
Micah 60 40 100
To calculate the ratio of whole seashells to total seashells, we divide the number of whole seashells by the total number of seashells, and then multiply by 100 to get a percentage:
Kevin: 150/200 [tex]\times[/tex] 100 = [tex]75[/tex]%
Micah: 60/100 [tex]\times[/tex] 100 = [tex]60[/tex]%
Therefore, Kevin is expected to have more whole seashells, with [tex]75[/tex]% of his collection being whole seashells, compared to Micah's [tex]60[/tex]%.
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The complete question is: Kevin and Micah collected seashells on the beach. The table below shows the number of broken and whole seashells each person collected. If Kevin collected 200 shells and Micah collected 100 shells, who is expected to have collected more whole seashells?
Broken Seashells Whole Seashells
Kevin 70 130
Micah 40 60
Which of the following is a cofactor for some enzymes and is a mineral whose primary route of excretion is through the feces and trace amounts in the urine?
A) chloride
B) copper
C) iron
D) manganese
E) calcium
Iron is required for the production of hemoglobin, which carries oxygen in red blood cells. It is also necessary for the functioning of many enzymes involved in energy metabolism.
The correct answer is (B) magnesium. Magnesium is a cofactor for some enzymes and is a mineral whose primary route of excretion is through the feces and trace amounts in the urine.
What is a cofactor?
A cofactor is a non-protein chemical that helps enzymes function correctly. It can be a metal ion or a small organic molecule. Cofactors work in tandem with the enzyme's active site to help catalyze reactions. Enzymes are protein molecules that assist in biochemical reactions, with each enzyme being specific to a certain reaction. Enzymes act as a catalyst by lowering the energy barrier required for a reaction to occur.
Magnesium is a cofactor for many enzymes that help to regulate nerve and muscle function, as well as glucose metabolism. It is needed for the production of proteins, DNA, and RNA, and it is a vital component of bone health. Magnesium is also necessary for the regulation of heart rhythm and blood pressure. Magnesium deficiencies can lead to muscle weakness, tremors, and seizures. The mineral magnesium's primary route of excretion is through the feces, with trace amounts being excreted in the urine.Calcium is an essential mineral that is involved in the formation and maintenance of bones and teeth, as well as blood clotting, nerve function, and muscle contraction.
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A softball base is 15 inches long and 15 inches wide. How long is the diagonal? Leave your answer as a
simplified radical.
15 in
15 in
Length of diagonal =
g calculate the labor force participation rate if you know that the adult working-age population is 320 million, 114 million of which are not in the labor force. what is the labor force participation rate? (round your answer to the nearest tenth.)
The labor force participation rate is 64.4%.
To calculate the labor force participation rate, we need to know the number of people who are either employed or actively seeking employment. We can calculate this as follows:
Labor force = adult working-age population - not in labor force
Labor force = 320 million - 114 million
Subtract the numbers
Labor force = 206 million
So the labor force participation rate is
Labor force participation rate = (labor force / adult working-age population) x 100%
Substitute the values in the equation
Labor force participation rate = (206 million / 320 million) x 100%
Labor force participation rate = 64.4%
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Hellppppppppppppppppp
Answer:
Step-by-step explanation:
asdfasdf
the first pentagon is dilated to form the second pentagon. drag and drop the answer to correctly complete the statement.
Hence, the correct answer to the question is: The second pentagon is either an enlargement or a reduction of the first pentagon, depending on the dilation factor.
The first pentagon is dilated to form the second pentagon. Drag and drop the answer to correctly complete the statement.The dilation is a transformation in which a figure is resized without changing its shape. It is an enlargement or a reduction of a geometric figure that maintains its similarity.
Therefore, if the first pentagon is dilated, the second pentagon will be an enlarged or a reduced form of the original pentagon.Since it is a dilation, the ratio of the corresponding sides of the pentagon will remain the same. Also, the angles of the pentagon will remain the same. Hence, both the pentagons will be similar to each other. The second pentagon will either be an enlargement or a reduction of the first pentagon. It will also have the same number of vertices and edges as the first pentagon.However, the size of the second pentagon will depend on the dilation factor. If the dilation factor is greater than 1, then the second pentagon will be an enlargement of the first pentagon. If the dilation factor is less than 1, then the second pentagon will be a reduction of the first pentagon.
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Kim's hourly wage is $14. She works 37 hours per week. What is her monthly income?
Answer:
2072
Step-by-step explanation:
Multiply 14 x 37
518 x 4
2072
Answer: $2,072 a month
Step-by-step explanation:
multiply 14 by 37 to see her weekly rate which is $518 a week. then multiply 518 by 4 (because there are about 4 weeks in a month). then you get the answer of $2,072
solve for a "7a = 14"
Answer: a=2
7a=14
a=14/7
a=2
if m<4 = 15, find the measure of <2
75°
Step-by-step explanation:Angle properties can help us find the measure of an unknown angle.
Vertical Angles
Before we find the measurement of angle 2, we need to find angle 1. Angle 1 and angle 4 are vertical angles.
Vertical angles are angles formed by 2 intersecting lines.We know that 1 and 4 are vertical angles because they are formed by the same lines. Vertical angles are always congruent. This means that if angle 4 is 15°, then angle 1 must equal 15°.
Complementary Angles
Now that we know angle 1, we can find angle 2. Angles 1 and 2 are complementary angles.
Complementary angles are angles that sum to 90°.We can tell that 1 and 2 are complementary angles because together they form a right angle. Using this information, we can set up an equation.
15 + x = 90x = 75This shows that angle 2 must equal 75°.
Helen flips a coin and rolls a dice calculate the probability of getting 4 and tails
Answer:
1/12 or 0.0833
Step-by-step explanation:
P(Coin) = 1/2
P(Dice) = 1/6
1/2 × 1/6 = 1/12
the medians of a triangle intersect at the ___
Answer:
orthocentre
Step-by-step explanation:
this is the answer to your question
explain how you know which type of feed the zookeeper will run out of first
Answer:
well since there is no math, the first feed that runs out, will be the animal that they have the most of, or the bigger animals. meaning lemurs for multiple or large meaning elephant, or your mother
Step-by-step explanation:
no offense, it's just faster to drive around the world than trying to print a picture of your mom
For what real numbers x is the value of x2
– 6x + 9 negative?
Answer:
Step-by-step explanation:
EZ
its 21
I ask you, to solve the system.
y=x2+2x-2
y=x+10
Answer:
y = 22 - x2 or x = 12 - x2
Step-by-step explanation:
Find the critical t-value that corresponds to 90% confidence. Assume 16 degrees of freedom. (Round to three decimal places as needed.)
1.746 is the critical t value that corresponds to 90% confidence.
To find the critical t-value that corresponds to 90% confidence with 16 degrees of freedom, follow these steps:
1. Determine the desired confidence level: 90%
2. Calculate the corresponding significance level (alpha) by subtracting the confidence level from 100%: 100% - 90% = 10%
3. Divide the significance level by 2 to get the value for a two-tailed test: 10% / 2 = 5%
4. Look up the critical t-value in a t-distribution table using the degrees of freedom (16) and the 5% value.
From the t-distribution table, the critical t-value for 16 degrees of freedom and 90% confidence is approximately 1.746.
So, the CRITICAL T VALUE that corresponds to a 90% CONFIDENCE level with 16 DEGREES FREEDOM is 1.746, rounded to three decimal places.
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