The probability of there is one faulty light is 0.60%, There are two faulty lights is 0.12% and There is at least one faulty light is 0.60%.
What is probability?The likelihood that an event will occur is measured by probability. It is difficult to make a complete prediction for many events. By using it, we are only able to forecast the likelihood of an event, or how likely it is, to occur. Between 0 and 1, where 1 denotes a certain event and 0 denotes an impossibility, is the range of probability. For students in class 10, probability is a crucial subject because it clarifies all of the fundamental ideas. In a sample space, there is a probability of 1 for each event.
a. Let there be 100 lights, 1/5th are faulty = 20
There is one faulty in first three, P = 3/100 × 20/100
= 0.006
= 0.60%
b. There are two faulty lights, P = 3/100 × 20/100 × 20/100
= 0.0012
= 0.12%
c. There is at least one faulty light = 3/100 ×1/5
= 0.006
= 0.60%
Thus, The probability of there is one faulty light is 0.60%, There are two faulty lights is 0.12% and There is at least one faulty light is 0.60%.
Learn more about probability
https://brainly.com/question/11234923
#SPJ1
Mid topic checkpoint chapter 4 for questions 3,and 4
3) The equation of the linear model would be y = 7.5x+60.
4) If Adam studies for 6 hours then his score would be 88.
What is the Linear equation?
An algebraic equation with only a constant and a first-order (linear) term is said to be linear if it has the formula y = mx + b, where m is the slope and b is the y-intercept. The above is occasionally referred to as a "linear equation with two variables," where y and x are the variables.
y = mx + c
where m denotes the slope.
The y-intercept is represented by the constant c. (Where x is zero)
In our instance, y-intercept equals 60.
The line's equation will therefore be:
y = mx + 60
y = mx + 60
There are given the line's coordinates (4, 90). These considerations will thus satisfy the equation.
90 = 4*m + 60
4.m = 30 m = 7.5 m = 7.5 y = 7.5x + 60 y = 7.5 * 6 + 60 y = 45 + 60 y = 105 is
y = 7.5x + 60.
If Adam's study for 6 hours then his score would be
y = 7.5x + 60.
y = 7.5(6) + 60
y = 105
Hence,
3) The equation of the linear model would be y = 7.5x+60.
4) If Adam studies for 6 hours then his score would be 88.
To learn more about equations refer to:
brainly.com/question/4344214
#SPJ1
Over the past few months, Brody has eaten 3 glazed donuts and 6 other donuts. Considering this data, how many of the next 3 donuts Brody eats would you expect to be glazed donuts?
glazed donuts
Over the past few months, Brody has eaten 3 glazed donuts and 6 other donuts. we expect 1 to be glaized
What is Brody's donut preference?Generally, Based on the data provided, it seems that Brody has eaten 3 glazed donuts out of a total of
3 + 6 = 9 donuts.
This means that 3/9, or approximately 1/3, of the donuts Brody has eaten are glazed.
So, if Brody eats 3 more donuts, we would expect 1/3 of them to be glazed,
or 3*(1/3)=1.
Read more about probability
https://brainly.com/question/30034780
#SPJ1
An Economist consultant needs to forecast the unit cost of a product for the next year. He notes
that each unit of the product requires 10 labor hours and 5 kg of raw material. In addition, each
unit of the product is assigned an overhead cost of ETB 200. He estimates that the cost of a labor
hour next year will be normally distributed with an expected value of ETB 45 and a standard
de useviation of ETB 2; the cost of raw material will be normally distributed with an expected value
of ETB 60 and a standard deviation of ETB 3.
A. Find the distribution of the unit cost of the product.
B. Find its expected value and variance.
A. The unit cost of the product follows a normal distribution with an expected value of ETB 305 and a standard deviation of ETB 5.
B. The expected value of the unit cost of the product is ETB 305 and the variance is ETB 25.
How do you calculate a standard deviation?In order to calculate the standard deviation, follow the following steps:
1. Calculate the mean (average) of your data set.
2. For each data point, subtract the mean and square the result (the squared difference).
3. Sum all of the squared differences.
4. Divide the sum by the number of data points. This gives you the variance.
5. Take the square root of the variance to get the standard deviation.
Therefore, the correct answer is as given above
learn more about standard deviation: https://brainly.com/question/475676
#SPJ1
determine the equation of the circle centered at (3 comma space minus 2 ), with radius 4.
The center of the circle is (3 , -2) and the radius is 4 then the equation of circle is (x)² + (y)²-6x+4y = 3
What is a circle?
The circle is defined as the locus of the point traces around a fixed point called as the center and is equidistant from the outer trace.
All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
The equation of the circle is,
( x - h )² + ( y - k )² = r²
(x-3)² + (y+2)² = 16
(x)² + (y)²-6x+9 +4y+4 = 16
(x)² + (y)²-6x+4y = 3
Compare the equations and find the center and radius,
Center = ( h,k) = ( 3, -2)
Radius = r = 4
To know more about circle follow
brainly.com/question/1506955
#SPJ4
Describe the transformations of the parent function for f(x) = -1/2√x+4.
The graph would be narrower.
The graph would shift down 4 units.
The graph would reflect over the y-axis.
The graph would shift up 4 units.
The graph would be wider.
The graph would shift to the left 4 units.
The graph would shift to the right 4 units.
The graph would reflect over the z-axis.
The parent function for f(x) = -1/2√x+4 can be transformed in a variety of ways to create new functions.
Describe the transformations of the parent function for f(x) =-1/2√x+4?The parent function for f(x) = -1/2√x+4 can be transformed by shifting, reflecting, and stretching.Shifting:
f(x) = -1/2√x+4 + c, where c is the amount of the shift on the y-axis
Reflecting:
f(x) = -1/2√-x+4, where the negative sign reflects the graph across the y-axis
Stretching:
f(x) = k(-1/2√x+4), where k is the amount of the stretch on the y-axis.
The most basic transformation is a vertical shift, which can be accomplished by adding or subtracting a constant from the function. When the constant is positive, the function shifts up, and when it is negative, the function shifts down.Horizontal shifts can also be applied by adding or subtracting a constant from the x-value inside the radical. When the constant is positive, the function shifts to the left, and when it is negative, the function shifts to the right.To learn more about The parent function refer to:
https://brainly.com/question/27784114
#SPJ1
The diameter of each tire on a vehicle is 32 inches. If the tires are moving at a rate of 800 revolutions per minute find the linear speed of the vehicle in miles per hour
The linear speed of the vehicle In miles per hour is 19.04 miles per hour
What is the angular speed?Angular speed is the time rate at which an object rotates, or revolves, about an axis, or at which the angular displacement between two bodies changes. In the figure, this displacement is represented by the angle θ between a line on one body and a line on the other.
The relationship between angular and linear speed is v = wr
where w= angular speed
v = linear speed
and r is the radius
1 inch = 1.578×10^-5
r = 32/2 = 16 inches = 16×1.578×10^-5
= 25.25×10^-5 = 2.5×10^-4miles
1 revolution = 2π = 6.28
800 revolution = 6.28× 800 = 5024
1 minutes = 1/60
800rev/minutes = 5024×60= 301440 rad/hour
v = wr
v = 301440 × 1.578 × 10^-5 = 4.76 miles per hour
therefore the linear speed of the car is 4.76miles/ hour × 4 = 19.04 miles per hour
learn more about angular speed from
https://brainly.com/question/6860269
#SPJ1
latanya takes a trip to an amusement park and rides a ferris wheel. the height, in feet above the ground, of her car over time , measured in , is given by
The height, in feet above the ground, is 26 feet
(Achieved Peak Value - Attained Lowest Value)/2
The lowest number = is 5 if the ride starts at the bottom of the Ferris wheel, which keeps you 5 feet above the ground.
Charlie will be 47 feet off the ground at the apex, or 5 feet off the ground plus the diameter of the wheel.
Amount = a = (47-5)/2 = 21.
(2/period) = b. You can just plug in the period from the question since you will already have located it.
(Peak value + Lowest value)/2 = for d = midline.
(47+5)/2 = 52/2 = 26
Know more about heights
https://brainly.com/question/28122539
#SPJ4
Kris currently has $190 and plans to earn more money each of the 8 weekends this summer She wants at least $1,625 by the end of the summer Write and solve an inequality for the amount of money Kris needs to earn each weekend Which answer choice best interprets the solution in the context of the problem?
A. Kris needs $179.38 more to meet her goal
B. Kris needs $13.13 each hour to meet her goal
C. Kris needs to earn at least $179.38 each weekend to meet her goal
D. Kris needs to earn $105 more to meet her goal
Kris currently has $190 and wants to have at least $1,625 by the end of the summer. To find out how much money she needs to earn each weekend we need to subtract the money she already has from the money she wants to have and divide that by the number of weekends.
$1,625 - $190 = $1,435
$1,435 ÷ 8 = $179.38
So, Kris needs to earn at least $179.38 each weekend to reach her goal.
Answer choice C. Kris needs to earn at least $179.38 each weekend to meet her goal. is the best interpretation of the solution in the context of the problem.
Please help!!!! Thank you!
The probability that the first item is not the first to be delivered is 0.6667
How to determine the probabilityLet's call the events that the first, second, and third items arrive on the first day of February A, B, and C, respectively.
The probability that the first item arrives on the first day of February is 1/3. The probability that the second item arrives on the first day of February is 1/3, The probability that the third item arrives on the first day of February is 0.Therefore, the probability that one of the other two items arrives first is
1/3 + 1/3 = 2/3.
The probability that the first item is not the first to be delivered is
1 - 2/3 = 1/3
Evaluate
1 - 2/3 = 0.6667
Read more about probability at
https://brainly.com/question/251701
#SPJ1
A restaurant customer left $1.65 as a tip. The tax was 6% and the tip was 15% of the cost including tax.
a. Which information is not needed to compute the bill after tax and tip?
b. What was the total bill?
a) The information not required in the tax computation is; the amount of the bill
b) The total bill is calculated as; $12.65
How to solve Percentage Problems?A percentage is defined as a number or ratio that is expressed as a fraction of 100.
The parameters are that a restaurant customer left $1.65 as a tip, the tax was 4 % and the tip was 15% of the after tax cost. Thus;
Let the bill after the tax plus tip will be a and the bill after tax be b,
Therefore,
a = b + $1.65
Since $1.65 = 15% of b, then we have;
b = 1.65*100/15
b = 11
a = 11 + 1.65
a = 12.65
Hence, the total cost after the tip = $12.65
Read more about Percentage Problems at; https://brainly.com/question/843074
#SPJ1
Given that ,On May 7,1992, the space shuttle Endeavour was launched on mission STS-49, the purpose of which was to install a new perigee kick motor in an Intelsat communications satellite. The table gives the velocity data for the shuttle between liftoff and the jettisoning of the solid rocket boosters.We need to use a graphing calculator or computer to model these data by a third-degree polynomial.
To create a third-degree polynomial model for the velocity data of the space shuttle Endeavour we need to use a graphing calculator or computer.
1. Enter the velocity data into the graphing calculator or computer.
2. Select the "Polynomial Regression" option.
3. Choose the degree of the polynomial (third degree).
4. Enter the polynomial regression equation displayed.
5. Select the "Graph" option to view the polynomial model.
A third-degree polynomial model can be used to accurately represent data points. To create a third-degree polynomial model for the velocity data of the space shuttle Endeavour, we need to use a graphing calculator or computer. First, we enter the velocity data into the graphing calculator or computer. Then we select the "Polynomial Regression" option and choose the degree of the polynomial (third degree). This will generate the polynomial regression equation which can then be entered. Finally, we select the "Graph" option to view the polynomial model. This will show us a graph of the velocity data points with the third-degree polynomial fitted to the points. This can be used to accurately predict the velocity of the shuttle Endeavour throughout its mission STS-49.
Learn more about polynomial here
https://brainly.com/question/11536910
#SPJ4
In a congressional district, 55% of the registered voters are Democrats. Which of the following is closest to the probability of getting less than 50% Democrats in a random sample of size 100?
Using the normal distribution and the central limit theorem, considering that this is a sample proportion, as we are dealing with percentages, it is found that there is a 0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.
Normal Probability Distribution
In a normal distribution with mean and standard deviation , the z-score of a measure X
It measures how many standard deviations the measure is from the mean.
After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
By the Central Limit Theorem, the sampling distribution of sample proportions of a proportion p in a sample of size n has mean and standard deviation .
In this problem:
55% of the registered voters are Democrats, hence .
A sample of size 100 is taken, hence
The mean and the standard deviation of the sampling distribution of sample proportions
The probability of getting less than 50% Democrats in a random sample of size 100 is the p-value of Z when X = 0.5, hence:
By the Central Limit Theorem
has a p-value of 0.1562.
0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.
To learn more about distribution you can take a look at brainly.com/question/24663213
#SPJ4
Here are the top 10 season hitting percentages for members of two baseball teams, and you must determine which is the best-hitting team, defined as the average. You have to decide which type of average you use and why. Do this by hand or use SPSS.Team 1 Team 20.345 0.2430.254 0.3780.278 0.3120.331 0.2980.267 0.2870.465 0.3870.189 0.3010.312 0.4120.365 0.2540.287 0.342
The best-hitting team can be calculated by finding the mean of each team's hitting percentages. To do this, add the ten numbers for each team and divide by 10.
Team 1: (0.345 + 0.254 + 0.278 + 0.331 + 0.267 + 0.465 + 0.189 + 0.312 + 0.365 + 0.287) / 10 = 0.3125
Team 2: (0.243 + 0.378 + 0.312 + 0.298 + 0.287 + 0.387 + 0.301 + 0.412 + 0.254 + 0.342) / 10 = 0.3267
Team 2 has the highest mean, so it is the best-hitting team.
In this example, it was determined that Team 2 was the best-hitting team by finding the mean of each team's hitting percentages. The mean of Team 1's hitting percentages was 0.3125, and the mean of Team 2's hitting percentages was 0.3267. Since Team 2 had the highest mean, it was determined to be the best-hitting team.
The best-hitting team can be calculated by finding the mean of each team's hitting percentages. To do this, add the ten numbers for each team and divide by 10.
learn more about number here
https://brainly.com/question/10547079
#SPJ4
a business lady bought 100 quails and 80 rabbits for sh 25600.if she bought twice as many rabbits and half has many quails she would have paid sh7400 less.form two equations
The equations are 100x + 80y = 25600 and 50x + 160y = 18200.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Let x be the cost of a quail and y be the cost of a rabbit bought by the business lady.
Given that a business lady bought 100 quails and 80 rabbits for sh 25600.
100x + 80y = 25600
If she bought twice as many rabbits, number of rabbits = 80 × 2 = 160.
If she bought half as many quails, number of quails = 100/2 = 50
The equation is then,
50x + 160y = 25600 - 7400
50x + 160y = 18200
Hence the equations formed here at two situations are 100x + 80y = 25600 and 50x + 160y = 18200.
Learn more about Equations here :
https://brainly.com/question/19173306
#SPJ1
or
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Mr. Robinson, the owner of two car dealerships in Clarksville, is holding a contest to see which one can sell the most cars. Clarksville Cars has already sold 15 cars, and Robinson's Autos has sold 13 cars. Going forward, the salespeople at Clarksville Cars think they can sell 8 cars per day, whereas the salespeople at Robinson's Autos are aiming for sales of 10 cars per day. If the salespeople's predictions are accurate, it won't be long before the two dealerships are tied. How many cars will each lot have sold? How long will that take?
The dealerships will each have sold
cars in
days.
The dealerships will each have sold 23 cars in 1 day.
How many cars would the dealerships sell when they are tied?The first step is to form a linear equation that represents the number of cars that are sold by the dealerships. A linear equation is an equation that has a single variable that is raised to the power of one.
The form of a linear equation that represents the total cars sold by the dealership is:
Total cars sold = cars already sold + (number of cars sold per day x number of days)
Total cars sold by Clarksville Cars= 15 + (8 x d)
= 15 + 8d
Total cars sold by Robinson's Autos = 13 + (10 x d)
= 13 + 10d
When the two dealerships are tied, the two above functions would be equal:
13 + 10d= 15 + 8d
In order to determine the value of d, take the following steps:
Combine and add similar terms:
10d - 8d = 15 - 13
2d = 2
Divide both sides of the equation by 2
d = 2 / 2
w = 1 week
Number of cars that would have been sold by each dealership =
13 + 10(1)
13 + 10 = 23 cars
To learn more about linear functions, please check: https://brainly.com/question/26434260
#SPJ1
The circle the right represents a planet. The radius of the planet is about 3900 miles. Find the distance d to the horizon that a person can see on a clear day from a 1461 feet above the planet. (Hint: Use the conversion factor 1 mile height h 5280 ft.) A person can see a distance of approximately miles on a clear day from a height of 1461 feet above the given planet. (Round to the nearest tenth as needed.)
A person can see a distance of approximately 32.9 miles on a clear day from a height of 1461 feet above the given planet.
d = 2 √(hR)
We can use the formula d = 2 √(hR) to calculate the distance d to the horizon that a person can see on a clear day from a 1461 feet above the given planet.
First, we need to convert the height of 1461 feet to miles. We can use the conversion factor of 1 mile = 5280 feet. Therefore, the height h = 1461/5280 ≈ 0.2772 miles.
Next, we need to find the radius of the planet. The radius of the planet is given as 3900 miles.
Finally, we can substitute h = 0.2772 miles and R = 3900 miles into the formula d = 2 √(hR).
d = 2 √(0.2772*3900) = 2 √(1083.08) ≈ 32.9 miles
Therefore, a person can see a distance of approximately 32.9 miles on a clear day from a height of 1461 feet above the given planet.
Learn more about distance here:
https://brainly.com/question/15172156
#SPJ4
pleas help need done by 11:59
Which of the following equations have exactly one solution?
Choose all answers that apply:
A
- 13x + 12 = 13x - 13
12x + 12 = 13x + 12
- 13x + 12 = 13x + 13
12x + 12 = 13x - 12
B
C
Answer:
A, B, C, D
Step-by-step explanation:
You want to know which of these equations have exactly one solution:
-13x + 12 = 13x - 1312x + 12 = 13x + 12-13x + 12 = 13x + 1312x + 12 = 13x - 12One solutionAn equation in a single variable will have one solution if the variable terms on either side of the equal sign have different coefficients.
A: coefficients are -13 and +13; one solution (x=25/26)
B: coefficients are 12 and 13; one solution (x=0)
C: coefficients are -13 and +13; one solution (x=-1/26)
D: coefficients are 12 and 13; one solution (x=24)
All of the given equations have exactly one solution.
the probability of rolling an even number on an unfair die is 0.65 which of the following is closest to the probability that an even number
The probability of rolling an even number on an unfair die is 0.65, which means that if you roll the die multiple times, the proportion of times that you roll an even number will be close to 0.65.
So, the probability of rolling an even number is closest to option c) 0.65
A die is a cube with numbers on each face that are used in games or gambling. A fair die is a die that is equally likely to land on any of its faces, meaning that each face has a probability of 1/6 of being the face that lands up. An unfair die is a die that does not have an equal probability of landing on each face. It means that the probability of landing on each face is not the same.
In the given scenario, it is said that the probability of rolling an even number on an unfair die is 0.65. This means that if you roll the die multiple times, the proportion of times that you roll an even number will be close to 0.65. It means that the die is not fair, and it is more likely to roll an even number.
Therefore, the probability of rolling an even number is closest to 0.65, it is the probability of rolling an even number on an unfair die.
--The question is incomplete, answering to the question below--
"The probability of rolling an even number on an unfair die is 0.65 which of the following is closest to the probability that an even number
a. 0.35
b. 0.40
c. 0.65
d. 0.70"
To know more on unfair die
https://brainly.com/question/28846438
#SPJ4
in the hypothesis test, the decision between one sided and a two sided alternative hypothesis is based on..
a) which one gives you a significant result
b) the alternative hypothesis appropariate for the context of the problem
c) how accurate you wish the reults of the test
d) the level of significance of the test
e) the statement of the null hypothesis
The decision between one sided and two sided alternative hypothesis is based on the statement of the null hypothesis and the alternative hypothesis appropriate for the context of the problem.
The hypothesis test is used to check if the observed data is consistent with the expected data or not. To do this, a null hypothesis and an alternative hypothesis are formulated. The decision between one sided and two sided alternative hypothesis is based on the statement of the null hypothesis and the alternative hypothesis appropriate for the context of the problem. The one-sided alternative hypothesis is used when the researcher is mainly interested in testing whether the population mean is either greater than or less than a given value. On the other hand, the two-sided alternative hypothesis is used when the researcher is mainly interested in testing whether the population mean is either different from or not different from a given value. The level of significance chosen for the test should be determined before the decision is made between one sided and two sided alternatives.
Learn more about null hypothesis here
https://brainly.com/question/28920252
#SPJ4
We all know that fruit is good for us. Many of us do not eat enough. The figure provided is a histogram of the number of servings of fruit per day claimed by 74 seventeen-year-old girls from a study in Pennsylvania.
Select the best description for the variability of this distribution. O from zero to fifteen servings O from zero to eight servings O from zero to fifteen girls O from zero to eight girls
The answers are as follows:
1. Skewed to the right.
2. The center is about 2 or 3 servings of fruit.
3. From zero o eight servings.
4. No outliers
5. About 12%.
6. 26 girls
About Pennsylvania.
Although the original European immigrants were Swedes and Dutch, William Penn, a Quaker, gave the state of Pennsylvania its name in honor of his father by combining the name Penn with the Latin word Sylvania, which means "woodlands," to create "Penn's woodlands." Pennsylvania, also known as the "Keystone State," is one of the original 13 colonies (it entered the Union in 1787). The state is now dominated by two large cities: Pittsburgh, a bustling inland river port, and Philadelphia, the city of the Liberty Bell, Constitution Hall, and a vibrant metropolitan area. The Amish are a group of people who don't utilize technology and live in the Pennsylvania countryside. The ruffed grouse is the state bird and Harrisburg is home to it.
For such more question on fruit:
brainly.com/question/18089379
#SPJ4
The following question be maybe like:
We all know that fruit is good for us. Many of us do not eat enough. The figure provided is a histogram of the number of servings of fruit per day claimed by 74 seventeen-year-old girls from a study in Pennsylvania.
Image given below:
1. Choose the term that best describes the shape of this distribution.
skewed to the right skewed to the left symmetric but not bell-shaped bell-shaped2. Provide the center of this distribution (Enter your answer as a whole number.)
3. Select the best description for the variability of this distribution.
from zero to eight servings from zero to fifteen servings from zero to eight girls from zero to fifteen girls4. Are there any outliers?
Yes, there is one outlierYes, there are multiple outliers. It is impossible to say using the given information. No.5. What percent of these girls ate six or more servings of fruit per day?
About 92%. About 9%. About 4%. About 12%.6. How many of these girls ate fewer than two servings of fruit per day?
26 41 35 15Mr.Honkenberg Is planning for his Superbowl party.If he he buys 18 chicken wings for $15 what is the cost of the wings in wings per dollar?
Answer:
The cost of the wings per dollar is 18/15 = 1.2 wings per dollar.
Answer:
1.2
Step-by-step explanation:
You want to test the claim made by a college career center that 80% of graduates have full-time employment
within 6 months of graduation. The table below shows data for 300 alumni.
Employed: 210
Unemployed: 90
In the chi-square test, what is the "expected" value for employment?
Select one:
a. 300
b. 210
C. 240
d. 80
Answer:
240
Step-by-step explanation:
C. 240
The expected value is calculated by taking the total sample size (300) and multiplying it by the hypothesized proportion of graduates who have full-time employment within 6 months of graduation (80%).
Expected value = 300 x (80/100) = 240
which of these events are mutually exclusive if you roll a pair of dice?i. a: at least one die is a 3ii. b: at least one die is a 6iii. c: the sum is 11
When rolling a pair of dice, there are 36 possible outcomes, each representing a unique combination of the numbers on the two dice.
Event A: "at least one die is a 3" is not mutually exclusive with Event B: "at least one die is a 6" or Event C: "the sum is 11"
Event A and Event B are mutually exclusive because when one of the die is a 6, the other die cannot be a 3 and vice versa.
Event A and Event C are not mutually exclusive because there are some outcomes where at least one die is a 3 and the sum is 11. For example (3,8), (4,7) and (6,5) are all outcomes where at least one die is 3 and the sum is 11.
Event B and Event C are not mutually exclusive because there are outcomes where at least one die is a 6 and the sum is 11. For example (5,6) and (6,5) are both outcomes where at least one die is a 6 and the sum is 11.
So, in conclusion, Event A and Event B are mutually exclusive, but Event A and Event C and Event B and Event C are not mutually exclusive.
To know more about combination , click here:
brainly.com/question/29677982
#SPJ4
Help asap please l don’t understand
The walkway shows the dimensions of one paver stone used in the design.
What is the area of one paver stone?
6.5 in.
5.5 in.
The Equation For calculating the paver area is
Length(m) x width(m) = area(m²).
How to calculate Paver area?Concrete, natural stone, clay brick, or even porcelain can be used to make pavers. They are typically little fragments of varying sizes. Homeowners can choose from a variety of hues, patterns, and textures.
Divide your space into squares or rectangles and multiply the length by the width to find the square metres of paved surface. The total square metres should be included. There are about 38 pavers per square metre, although this varies depending on how many cuts are made and what laying pattern is used. Additionally, you must account for waste.
The area to be paved and the paver selected will determine how many pavers are required.
Determine the area that will be paved in square metres.
Equation : Length(m) x width(m) = area(m²).
To know more about How to calculate Paver area refer to:
https://brainly.com/question/3522485
#SPJ1
sam runs a large chain of car repair shops. he pays his employees for 8 hours of work each day. the employees have to log the amount of time they spend working on each job, which results in a number of billable hours for each employee each day. sam would like to estimate the mean number of billable hours for the large number of employees at the company. to do so, he selects a random sample of 10 employees and asks them how many billable hours they tend to have each day. from their responses, he constructs a 95% confidence interval for the true mean number of billable hours for all employees in the company. which of the following may have an impact on the confidence interval, but is not accounted for by the margin of error?
Sampling variation will have more impact on confidence interval but it is not accounted for by the margin of error.
What is Sampling variation?
The term "sampling variance" describes how much a sample estimate (a statistic) is likely to fluctuate from sample to sample due to the unique nature of each sample.
Sample Sizes and Variability are the factors which lead to sampling variation. As and when the sample size is changed i.e. either increased or decreased, the variability of samples fluctuates.
Since, Sam runs a large chain of car repair shops, this means he has large number of employees.
But his sample size is only of 10 employees whom he asks about their billable hours from which he constructs a 95% confidence interval for the true mean number of billable hours for all employees in the company.
Since, sampling variation is greatly affected by the sample size and variability, therefore it will have more impact on confidence interval.
Hence, sampling variation will have more impact on confidence interval but it is not accounted for by the margin of error.
Learn more about sampling variation from the given link:
https://brainly.com/question/28213657
#SPJ4
Since the options are missing in the question, here are the options from which answer is to be chosen
response biasnonresponse biassampling variationundercoverage bias8. Which division problem does the model
Tess made represent?
As a result, the model's representation of the division problem is 7/4 * 1/2 = 3 1/2 as the Circled portion .
what is circle ?In the plane, a circle is created by each point that is a specific distance from another point (center). Therefore, it is a curve made up of points that are spaced out from one another in the plane in a fixed manner. It rotates symmetrically around the center at all angles. Every pair of points in the plane of a circle, which is a closed two-dimensional object, are evenly distanced from the "center." Specular symmetry is produced by a line that traverses the circle. It rotates symmetrically around the center at all angles.
given
Circled portion of the shaded partition is 7/4 of the total.
Take 1/2's reciprocal and switch the sign to multiply. 7/4 * 1/2 = 3 1/2
As a result, the model's representation of the division problem is 7/4 * 1/2 = 3 1/2 as the Circled portion .
To know more about circle visit:
https://brainly.com/question/29142813
#SPJ1
In which section of the number line is √13?
The graph of "square root of 13" is 3.61 is seen below.
What is the number line is √13?So, the graph of "square root of 13" = 3.61 is seen below.
As a result, the quotient obtained using the aforementioned division approach, or roughly 13 = 3.605, is the necessary square root of 13.
Plotting the number "square root of 13" on the number line is necessary.
since we are aware,
13 has a square root of 3.61.
In other words, we must write 3.61 on the number line.
Since 3.61 is between 3 and 4, it tends to lean more toward 4.
So, the graph of "square root of 13" = 3.61 is seen below.
The graph of "square root of 13" is 3.61 is seen below.
To learn more about number line refer to:
https://brainly.com/question/24644930
#SPJ1
A machinist must cut 12 strips of metal that are each 2 ft 6 7/8 in. long. What is the total length needed in inches?
The total length of the metal strips needed in inches is 370.5 inches
How to convert feet to inches?Number of strip metals = 12
Length of each strip metal = 2 ft 6 7/8 in.
Convert feet to inches:
1 feet = 12 inches
2 feet = 24 inches
2 ft 6 7/8 in = 30 7/8 inches
Total length of strip metals= Number of strip metals × Length of each strip metal
= 12 × 30 7/8 inches
= 12 × 247/8
= 2,964/8
= 370.5 inches
So therefore, the total length of the metal strips is 370.5 inches
Read more on feet to inches:
https://brainly.com/question/24762734
#SPJ1
Write the equation of this line in slope-intercept form
Answer:
[tex]y = \frac{1}{3} x - 4[/tex]
[tex]\it y=ax+b\\ \\ x=0 \Rightarrow y=-4 \Rightarrow b=-4 \Rightarrow y=ax-4\\ \\ x=3 \Rightarrow y=-3 \Rightarrow a\cdot3-4=-3\bigg|_{+4}\Rightarrow a\cdot3=1 \bigg|_{:3}\Rightarrow a=\dfrac{1}{3} \\ \\ Therefore, the\ equation\ of\ this \ line\ is: \ \ y=\dfrac{1}{3}x-4[/tex]
