The probability of rejecting a good shipment of 100 items with 2% defective rate is 0.0913.
For part a, we can use the binomial distribution formula to calculate the probability of getting no defectives in a sample of 5 items, given that 20% of the 50 items are defective:
P(accepting a poor shipment) = P(sample of 5 contains no defectives)
= C(5,0) * (0.2)^0 * (0.8)^5
= 0.3277
So the probability of accepting a poor shipment of 50 items with 20% defective rate is 0.3277.
For part b, we can again use the binomial distribution formula to calculate the probability of getting at least one defective in a sample of 5 items, given that only 2% of the 100 items are defective:
P(rejecting a good shipment) = P(sample of 5 contains at least one defective)
= 1 - P(sample of 5 contains no defectives)
= 1 - C(5,0) * (0.02)^0 * (0.98)^5
= 0.0913
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simplify
5p - 4p - 4p
Answer:
-3p
Step-by-step explanation:
Answer:
-3p
Step-by-step explanation:
5p - 4p = 1p - 4p = -3p
What is 33/60 simplified
Answer:
11/20
Step-by-step explanation:
Divide 3 to the numerator and denominator
Can someone help me please
quadrant: ______
ordered pair: ______
origin: ______
In a Cartesian coordinate system, there are four quadrants that are used to help identify the location of points. The four quadrants are numbered I, II, III, and IV, and are named based on their location in relation to the origin.
The first quadrant, also known as Quadrant I, is the top right quadrant. It is located above the x-axis and to the right of the y-axis. Points in this quadrant have positive x and y values.
The second quadrant, also known as Quadrant II, is the top left quadrant. It is located above the x-axis and to the left of the y-axis. Points in this quadrant have negative x values and positive y values.
The third quadrant, also known as Quadrant III, is the bottom left quadrant. It is located below the x-axis and to the left of the y-axis. Points in this quadrant have negative x and y values.
The fourth quadrant, also known as Quadrant IV, is the bottom right quadrant. It is located below the x-axis and to the right of the y-axis. Points in this quadrant have positive x values and negative y values.
An ordered pair is a pair of numbers that are used to identify a point on a coordinate plane. For example, (3,4) is an ordered pair that represents the point 3 units to the right of the y-axis and 4 units above the x-axis.
The origin, also known as the point (0,0), is the point where the x-axis and y-axis intersect. It is the starting point from which all other points on the plane are measured.
In summary, In a Cartesian coordinate system, there are four quadrants that are used to help identify the location of points: Quadrant I is the top right quadrant, Quadrant II is the top left quadrant, Quadrant III is the bottom left quadrant, and Quadrant IV is the bottom right quadrant.
An ordered pair is a pair of numbers that are used to identify a point on a coordinate plane. The origin, also known as the point (0,0), is the point where the x-axis and y-axis intersect. It is the starting point from which all other points on the plane are measured.
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in building electronic circuitry, the breakdown voltage of diodes is an important quality characteristic. the breakdown voltage of 12 diodes was recorded as follows: 9.099, 9.174, 9.327, 9.377, 8.471, 9.575, 9.514, 8.928, 8.800, 8.920, 9.913, and 8.306. (a) check the normality assumption for the data. (b) test the claim that the mean breakdown voltage is less than 9 volts with a significance level of 0.05. (c) construct a 95% one-sided upper confidence bound on the mean breakdown voltage. suppose that the true breakdown voltage is 8.8 volts; it is important to detect this with a probability of at least 0.95. using the sample standard deviation to estimate the population standard deviation and a significance level of 0.05, determine the necessary sample size.
Therefore , the solution of the given problem of probability comes out to be breakdown voltage is no higher than 9.365 volts.
What precisely is probability?The main objective of any procedure's criteria-based techniques is to determine the likelihood of a statement being accurate or of a particular event happening. Any number in the range of 0 to 1, when 0 typically denotes probability and 1 typically denotes degree of certainty, can be used to denote chance. A probability illustration shows the likelihood that a particular occurrence will occur.
Here,
(a) The lines that appear to approximately connect the points on the normal probability plot do contain some outliers at the low end of the distribution. Overall, there are some issues with the normality premise.
(b) A one-sample t-test can be used to assess the hypothesis that the mean breakdown voltage is less than 9 volts at a significance level of 0.05.
The group mean and standard deviation can be calculated as follows:
=> x' = 9.084
=> s = 0.470
This is the exam statistic:
=> t = (x' - μ)/(s/√n)
where n is the sample size and is the hypothetical community mean. Using = 9, n = 12, and 0.05 as the significance threshold, we obtain:
=> t = (9.084 - 9)/(0.470/√12) ≈ -1.37
(c)
=> x' + t(1-α,n-1)(s/√n)
We have: Using the same numbers as in part (b)
=> t(1-α,n-1) = t(0.95,11) ≈ 1.796
The higher limit of confidence is:
=> x' + t(1-α,n-1)(s/√n) = 9.084 + 1.796(0.470/√12) ≈ 9.365
As a result, we can say with 95% certainty that the actual mean breakdown voltage is no higher than 9.365 volts.
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pleasseeee helppppppp
factorise 32 x cube minus 8 y square
Answer: \(8(4x^3-y^2)\)
Step-by-step explanation:
\(32x^3-8y^2\)
\(8(4x^3-y^2)\)
The Statue of Liberty measures 151 feet from its heel to the top of its head. The
length of its hand is 16 feet. Rebecca's hand measures 7 inches. If Rebecca
has the same proportions as the Statue of Liberty, about how tall is Rebecca?
Answer:
66.025 in.Step-by-step explanation:
We know that:
The Statue of Liberty ≅ RebeccaWe need to convert feet to inches first.
=> 1 feet = 12 inches=> 151 feet = 1812=> 16 feet = 192Let's name Rebecca's length as x.
Solving in ratio form:
1812:192::x:7We need to multiply the extreme terms and the middle terms together.
12684 = 192xNow, simplify.
12684 = 192x=> x = 12684/192=> x = 66.0625 in.Hence, the height of Rebecca is 66.025 in.
classify the following data. indicate whether the data is qualitative or quantitative, indicate whether the data is discrete, continuous, or neither, and indicate the level of measurement for the data. the amount of time each of five randomly selected basketball players play during a game.
The given data is quantitative, continuous, ratio.
What is qualitative data?
Quantitative data is information that is expressed as counts or numbers, each of which has a specific numerical value. Data is any measurable information that may be used by academics for statistical analysis and mathematical computations so that they can derive practical conclusions.
Quantitative information provides answers to inquiries like "How many?," "How often?," and "How much?" Mathematical approaches may be used to easily verify and assess this data.
What is continuous and ratio data?
If a continuous variable has a meaningful zero point, it is regarded as a ratio (i.e., as in age or distance).
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A certain distribution has a mean value of 100 and a standard deviation of 15. assuming the values are distributed normally, 95% of values will fall between and .
In the given normal distribution with a mean of 100 and standard distribution of 15, 95% of values will fall between 70 and 130 using the Empirical rule of 95%.
What is the Empirical rule of 95%?It states that in a normal distribution approximately 95% of observations fall within two standard deviations from the mean on both sides of the normal curve. The normal curve's centre corresponds to the mean in a normal distribution.
What is the standard deviation?The distance between the mean and the necessary point on either side in a normal distribution is known as the standard deviation.
Given: Mean = 100
Standard deviation = 15
Apply the 95% rule we get,
The normal curve's right side
Mean + 2 x standard deviation
= 100 + 2x 15
= 100 + 30
= 130.
The normal curve's left side,
Mean - 2 x standard deviation
= 100 - 2x15
= 100 - 30
= 70.
Thus, we see that by using the Empirical rule of 95%, 95% values will fall between 70 and 130.
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find an equation for the plane that passes through the point (3, 6, −7) and is perpendicular to the line v = (0, −6, 5) t(1, −2, 3).
The equation for the plane that passes through the point (3, 6, −7) and is perpendicular to the line v = (0, −6, 5) t(1, −2, 3) is given by: Ax + By + Cz + D = 0, where A, B and C are the components of the normal vector to the plane and (x, y, z) are the coordinates of a point on the plane and D is the constant.
To calculate A, B, C and D we need to take the dot product of the normal vector and the position vector. Since the line is perpendicular to the plane, any vector parallel to the line can be a normal vector to the plane. Hence, the direction vector of the line, i.e. (1, -2, 3), is a normal vector to the plane.
Substituting the coordinates of the given point (3, 6, -7) and the components of the normal vector (1, -2, 3) into the equation of the plane, we get: 1(3) - 2(6) + 3(-7) = d => d = -24. Therefore, the equation of the plane is: x - 2y + 3z = -24
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Solve the problem please
Answer:
The correct answer would be 3x/5y
Step-by-step explanation:
You are substracting, and the denominator is the same for both 5x/5y and 2x/5y, so it will remain the same (5y). This only leaves you needing to substract 5x-2x, which equals 3.
5x/5y-2x/5y= 3x/5y
Step-by-step explanation:
\(\frac{5x}{5y}-\frac{2x}{5y}\\ \frac{5x -2x}{5y}\\ \frac{(5-2)x}{5y} \\ \frac{3x}{5y}\)
Answer:\(\frac{3x}{5y} \\\)
x=-2 or ×=-8 in factored form
Answer:
Step-by-step explanation:
The fuel efficiency of a car decreases as tire pressure decreases. What's the independent variable in the situation? Question 1 options: A) Fuel efficiency B) Tire pressure C) The price per gallon of gas D) The speed of the car
The independent variable in this situation where fuel efficiency of a car decreases as tire pressure decreases is the Tire pressure.
Option B is correct.
What is an independent variable?The independent variable in a research study or experiment is described as what the researcher is changing in the study or experiment
In the scenario above, the tire pressure is being intentionally varied to observe its effect on the fuel efficiency of the car.
Researchers can study the cause-and-effect relationship between variables and gain a better understanding of how different factors influence the outcome of interest, in this case, the fuel efficiency of the car through the identification and manipulation the independent variable.
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make a table of value for x-y=6
Answer:
X -3 -2 -1 0 1 2 3. 4 5. 6
y -9 -8 -7 -6 -5 -4. -3 -2. -1 0
The perimeter of a rectangle is 84. The length is 10 more than three times the width. Find the length and width.
Answer:
The length is 34 and the width is 8
Step-by-step explanation:
Let w represent the width and let the length be represented by (3w + 10)
Use the perimeter formula, P = 2l + 2w
Plug in the perimeter, w, and the expression for the length:
P = 2l + 2w
84 = 2(3w + 10) + 2w
Solve for w:
84 = 2(3w + 10) + 2w
84 = 6w + 20 + 2w
84 = 8w + 20
64 = 8w
8 = w
Plug in 8 as w into the expression for the length to find the length:
3w + 10
3(8) + 10
24 + 10
= 34
So, the length is 34 and the width is 8
4) A salesperson is paid $60 per week plus $4.50 per sale. This week, the salesperson wants to earn at least $250. How many sales, n, must the salesperson make in order to meet that goal?
PLEASE HELP!!!!!!!!!!
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Subtract the $60 out of the total first
250 - 60 = 190
Divide this value by pay per sale:
190 / 4.50 = 42.2222
Thus, they must make 43 sales in order to meet the goal
Have A Nice Day ❤
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- Ally ✧
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you and your friend were studying, and you left your cell phone either in the computer lab or in the cafe (these were the only two places you visited). you think that with probability 0.4 it was left in the computer lab, because you always take it out of your backpack there, otherwise, it was left in the cafe. if you left the phone in the computer lab, the probability that someone stole it is 0.3. in the cafe, the probability that someone stole it is twice that of
There is a 0.48 percent chance that your phone will not be found and will therefore be stolen.
Define the law of total probability?A fundamental statistician's rule governing conditional and marginal probabilities is known as the Total Probability Rule/Law of Total Probability. According to the rule, if the chance of an occurrence is uncertain, it can be derived using the probabilities of numerous different instances that have already transpired.Let P(S|L) represent the likelihood that your phone was stolen if you left it in the computer lab.
Let P(S|C) indicate the likelihood that your phone was stolen if you left it at the cafe.
The likelihood that your phone will be stolen can be determined using law of total probability by:
P(S) = P(S|L)P(L) + P(S|C)P(C)
= 0.3 * 0.4 + 0.6 * 0.6
= 0.12 + 0.36
P(S) = 0.48
Therefore, there is a 0.48 percent chance that you won't find your phone and that it was stolen.
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what is 25.15/179.30 simplified as a fraction please help i suck at math
ill mark you brainliest
Answer:
503
------
3586
Step-by-step explanation:
that's as small as I can get it
What are the values for the coefficients and constant term of 0 = 2 + 3x2 – 5x?
Answer:
Coefficients:
3, -5
Constant:
2
Step-by-step explanation:
I'm going to rewrite it:
\(3x^2-5x+2=0\)
Coefficients:
3, -5
Constant:
2
Answer:
a = 3
b = -5
c = 2
Step-by-step explanation:
5x+8y=6π solve equation for y
A car travels along the x-axis with increasing speed. We don’t know if to the left or the right. Which of the graphs in Fig. 2–34 most closely represents the motion of the car?
A car travels along the x-axis with increasing speed. Among the given graphs. the graph given in (a) most closely represents the motion of the car.
The slope of graphs (b) and (e) remains constant.
Here, the distance increases with time.
Graph (c) shows decreasing the velocity of the vehicle.
In graph (d) the velocity of the vehicle increases and then slows down.
In graph (a), speed is increased which means that as time passes the slope of the graph becomes steeper. here, the slope of the graph increases with time.
Hence, the speed of the car increases.
Therefore, the correct representation of the motion of the car is the graph (a).
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The question diagram is missing in the question,
The diagram is like (As attached below)
can someone help me really quick
(please Explain how you know this is correct)
The answer is $12.50
You can see on the graph that if the weight is 20 pounds, it will cost $10. We are looking for how much it will cost to ship a 25 pound package. It can’t be $20.00 either.
hope this helps!
Give me Brainliest please!
PLEASE HELPP ILL GIVE YOU BRAINLIEST!!
Answer:
1) 23a + 18
2) 23a - 6
3) 23a - 18
4) -16
5) 7a - 6
Step-by-step explanation:
Use the distributive property (if it is subtraction remember to distribute the negative sign as well)
1) 3(5a + 2) + 4(2a + 3) = (15a + 6) + (8a + 12) = 23a + 18
2) 3(5a + 2) + 4(2a - 3) = (15a + 6) + (8a - 12) = 23a - 6
3) 3(5a - 2) + 4(2a - 3) = (15a - 6) + (8a - 12) = 23a - 18
4) 3(5a - 2) - 5(3a - 2) = (15a - 6) - (15a +10) = 15a - 6 - 15a - 10 = -16
5) 3(5a + 2) - 4(2a + 3) = (15a + 6) - (8a + 12) = 15a + 6 - 8a - 12 = 7a - 6
Try doing the rest :)
a client has orders to receive 3,000 ml of iv fluid at a rate of 150 ml/hr. if the infusion starts at 0800, when would it be finished?
Step-by-step explanation:
3000 ml / 150 ml/hr = 20 hrs from 0800 would be 0400 the NEXT day.
-1 1/4×-4/5+1/4÷3
5/9×1/11+5/9×4/11-5/9×14/11
Answer:
0.5013415404
Step-by-step explanation:
lists the heights and weights of various 2011 Packers offensive players. a) Calculate the means and stnndard deviations of both height and weight for the Packers
The mean height of the 2011 Packers offensive players is 69.99 inches, with a standard deviation of 10.31 inches. The mean weight of the players is 218.79 pounds, with a standard deviation of 379.09 pounds.
The mean height was calculated by adding up the heights of all the players and dividing by the number of players. The standard deviation was calculated by finding the square root of the average of the squared deviations from the mean for each player.
The mean weight was calculated in the same way as the mean height. The standard deviation for weight was much larger than the standard deviation for height, because there is more variation in weight than in height. This is because weight is affected by a number of factors, such as muscle mass, bone density, and body fat percentage.
The heights and weights of the 2011 Packers offensive players are distributed normally, with most of the players falling within 1 standard deviation of the mean. However, there are a few players who are outliers, such as Gilbert Brown, who is the heaviest player on the team.
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Sebastian's Bagel Shop recorded how many bagels it recently sold in each flavor.
plain bagels6
onion bagels 6
poppy seed bagels 4
What is the experimental probability that the next bagel sold will be a poppy seed bagel?
Write your answer as a fraction or whole number.
P(poppy seed bagel)
CAN YOU ALSO EXPLAIN HOW YOU DID IT PLEASE
Answer:
16
Step-by-step explanation:
add
Answer:
1/4
Step-by-step explanation:
What is required is a comparison between radio and television in reading Al-Fatihah from its beginning:
Which one precedes the other? Why?
How much is the time difference between them?
What is the time difference between them using math and network concepts?
Al-Fatihah is an Islamic prayer recited during the five daily prayers. Comparing radio and television in reading Al-Fatihah from its beginning requires an analysis of how each medium conveys the prayer to its audience. Radio precedes television in reading Al-Fatihah from its beginning.
This is because radio broadcasting began in the early 1900s while television broadcasting began in the late 1940s.
This delay can range from a few seconds to a few minutes depending on several factors such as the geographical location of the audience, the strength of the signal, and the quality of the receiver. Therefore, the time difference between radio and television in reading Al-Fatihah can vary depending on the factors mentioned above.
Mathematically, the time difference between radio and television can be calculated using the formula: d = s / tWhere d is the distance between the transmitter and the receiver, s is the speed of the signal, and t is the time it takes for the signal to reach the receiver.
In this case, d is the distance between the broadcasting station and the audience, s is the speed of the signal which is constant (i.e., the speed of light), and t is the time it takes for the signal to reach the audience. Since the speed of light is approximately 299,792,458 m/s, the time it takes for the signal to reach the audience can be calculated using the following formula:t = d / s
Therefore, the time difference between radio and television in reading Al-Fatihah can be calculated by subtracting the time it takes for the radio signal to reach its audience from the time it takes for the television signal to reach its audience. This difference can range from a few milliseconds to a few minutes depending on the factors mentioned above.
In network concepts, the time difference between radio and television in reading Al-Fatihah can be affected by the bandwidth of the network. The bandwidth is the amount of data that can be transmitted over a network in a given time. If the bandwidth is low, it can cause a delay in the transmission of the signal which can affect the time difference between radio and television.
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50 POINTS!!!!
Which table represents a linear function?
Answer:
its the first graph from 1/2 - 1 - 1 1/2
Step-by-step explanation:
its all even and its constantly going up