To determine this family's annual medical aid tax credit, we need to consider their medical aid expenses for the year. Medical aid expenses are expenses related to medical services that are not covered by the government or medical insurance.
This family can claim a tax credit of up to R310 per month for the main member and the first dependent, and R209 per month for each additional dependent. This tax credit is only applicable to registered medical schemes and is deducted from the tax payable.
In addition to medical aid expenses, this family will also need to consider the 15% VAT payable on all goods and services, except for sanitary pads, fresh produce, and a few other staple food items. This means that if this family spends R10,000 on goods and services, they will need to pay an additional R1,500 in VAT.
However, the good news is that they won't have to pay VAT on their fresh produce and staple food items. This will help to reduce their overall expenditure on food, which is an essential expense for every family.
In conclusion, while this family will need to pay VAT on most goods and services, they can claim a tax credit for their medical aid expenses. Additionally, they won't have to pay VAT on fresh produce and staple food items, which will help to reduce their overall food expenditure.
By carefully managing their expenses and taking advantage of tax credits and exemptions, this family can ensure that they are able to provide for their essential needs while also managing their financial obligations.
To know ore about family refer here
https://brainly.com/question/2284676#
#SPJ11
PLZZ HELPPPPPPPPPPPPPP
Answer:
the third one
Step-by-step explanation:
rational numbers have an end while irrational don't
is the square root of 39 a rational or irrational number?
Answer:
39=3⋅13 has no square factors, so its square root cannot be simplified. It is an irrational number, so cannot be represented by a fraction or by a terminating or repeating decimal expansion
Step-by-step explanation:
Consider this equation. |y 6| = 2 What can be concluded of the equation? Check all that apply. There will be one solution. There will be two solutions. The solution to –(y 6) = 2 will be also be a solution to the given absolute value equation. The solution(s) will be the number(s) on the number line 2 units away from –6. The value of y must be positive since the variable is inside absolute value signs.
Answer:
2,3,4
Step-by-step explanation: i just got that answer
The Answers are 2,3, and 4.
2. There will be two solutions.
3. The solution to –(y + 6) = 2 will be also be a solution to the given absolute value equation.
4. The solution(s) will be the number(s) on the number line 2 units away from –6.
72,12,2 simplest form
Answer:
456748
Step-by-step explanation:
you 463uy2iuswhk then 13456
the cube root of 125 is 5. how much larger is the cube root of 126.2? estimate using the linear approximation.
The cube root of 126.2 is approximately 0.016 larger than the cube root of 125.
Linear approximation is a strategy for approximating the values of complicated functions. When a graph is relatively straight, this approximation is quite effective. A linear approximation for a function is a straight line that represents a close approximation of the original function.
The formula to be used is given by
df/dx = (f(x+dx)-f(x))/dx
The first derivative of the cube root of x can be computed as follows:
f(x) = x^(1/3)
df/dx = (1/3)*x^(-2/3)
Using this formula, we can calculate the linear approximation of the cube root of 126.2. This can be done as follows:
f(x + dx) ≈ f(x) + df/dx * dx
In the given case, the f(x) = ∛125 ⇒ 5
Let dx = 126.2 - 125 ⇒ 1.2
Then the linear approximation of the cube root of 126.2 is given by
f(126.2) ≈ f(125) + df/dx * dx
⇒ f(126.2) ≈ 5 + (1/3)*125^(-2/3) * 1.2
⇒ f(126.2) ≈ 5 + 0.016
⇒ f(126.2) ≈ 5.016
Therefore, the cube root of 126.2 is roughly 0.016 greater than the cube root of 125.
To know more about the "linear approximation":https://brainly.com/question/2254269
#SPJ11
learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called ___ learning.
Learning platforms that use algorithms to adjust the content that each student sees in order to maximize learning efficiency is called Adaptive learning
What is adaptive learning?Adaptive learning platforms utilize algorithms to tailor the learning experience for individual students based on their needs, abilities, and learning progress.
By analyzing data and feedback, adaptive learning systems can dynamically adjust the content, pace, and difficulty level to optimize learning efficiency and personalize the educational journey for each student.
Learn more about learning platforms at
https://brainly.com/question/32908749
#SPJ4
What ordered pairs are the solutions of the system of equations shown in the graph
below?
The solutions of the system of equations are (-1, 2) and (3, -5)
What ordered pairs are solutions of the system of equations?Here we have a graph of a system of equations. The solutions are all the points where the graphs of the two equations intersect.
Here we can see two intersection points, thus, we have two solutions. We can see that the first intersection is at (-1, 2) and the second intersection is at (3, -5)
So these two are the solutions of the system of equations.
Learn more about systems of equations at:
https://brainly.com/question/13729904
#SPJ1
View Policies Current Attempt in Progress Using the information provided in the table, the network diagram and the project completion time = 25 weeks, reduce the completion time of the project by 5 we
Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.
To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.
To achieve a reduction of 5 weeks, we can consider several strategies:
1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.
2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.
3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.
4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.
It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.
To know more about project management techniques and strategies, refer here:
https://brainly.com/question/32653641#
#SPJ11
How much storage is needed to represent a simple graph with n vertices and m edges using
a) adjacency lists?
b) an adjacency matrix?
c) an incidence matrix?
The amount of storage required to represent a simple graph with n vertices and m edges can vary depending on the chosen representation. Here's the storage requirement for each representation:
a) Adjacency lists:
In an adjacency list representation, we typically use an array of size n to store the vertices, and for each vertex, we maintain a linked list or an array to store its adjacent vertices. The space complexity of this representation is O(n + m), where n is the number of vertices and m is the number of edges.
Each vertex requires constant space, and each edge is represented by a link or entry in the adjacency list.
b) Adjacency matrix:
In an adjacency matrix representation, we use a 2D matrix of size n x n to represent the graph. Each entry (i, j) in the matrix represents whether there is an edge between vertices i and j. The space complexity of this representation is O(n^2), as we need to store n^2 entries for the complete matrix. However, if the graph is sparse (few edges compared to vertices), the space complexity can be reduced to O(n + m) by only storing the entries corresponding to the existing edges.
c) Incidence matrix:
In an incidence matrix representation, we use a 2D matrix of size n x m, where n is the number of vertices and m is the number of edges. Each entry (i, j) in the matrix represents whether vertex i is incident to edge j. The space complexity of this representation is O(n * m), as we need to store n * m entries for the matrix.
Similar to the adjacency matrix, if the graph is sparse, the space complexity can be reduced to O(n + m) by storing only the entries corresponding to the existing edges.
In summary:
a) Adjacency lists: O(n + m)
b) Adjacency matrix: O(n^2) or O(n + m) for sparse graphs
c) Incidence matrix: O(n * m) or O(n + m) for sparse graphs
To know more about matrix refer here:
https://brainly.com/question/28180105?#
#SPJ11
If m∠AED = 35°, what is m∠ABC?
The measure of angle ABC is given as follows:
m < ABC = 145º.
What are supplementary angles?Two angles are defined as supplementary angles when the sum of their measures is of 180º.
In a parallelogram, we have that the opposite angles are supplementary.
The opposite angles for this problem are given as follows:
<AED.<ABC.Hence the measure of angle ABC is given as follows:
m < ABC + 35º = 180º.
m < ABC = 145º.
More can be learned about supplementary angles at brainly.com/question/2046046
#SPJ1
PLZZZ help!!!
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.
Answer:
\(A_s = 36\pi - 72\)
Step-by-step explanation:
\(A_{shaded} = \frac{A_{circle}}{4} - A_{triangle}\\\\A_c = \pi r^2\\A_c = \pi(12)^2\\A_c = 144\pi\\\\A_t = \frac{b * h}{2} \\\\A_t = \frac{12 * 12}{2} \\\\A_t = 72\\\\\\A_s = \frac{144\pi }{4} - 72\\A_s = 36\pi - 72\)
iii) iv) 1 km 200 m - 500 m = 876 m + 1 km 500 m = v) 2 km 50 m - 950 m =I want answers my questions
The solution to the conversion of units are:
iii) 1 km 200 m - 500 m = 700 m
iv) 876 m + 1 km 500 m = 2km 376 m
v) 2 km 50 m - 950 m = 1 km 100 m
How to carry out conversion of units?iii) We want to solve:
1 km 200 m - 500 m
From conversion factors, we know that:
1 km = 1000 m
Thus:
1 km 200 m = 1000m + 200 m = 1200 m
Thus:
1 km 200 m - 500 m = 1200 m - 500 m
= 700 m
iv) We want to solve:
876 m + 1 km 500 m
From conversion factors, we know that:
1 km = 1000 m
Thus:
876m = 0.876 km
1 km 500 m = 1.5 km
Thus:
876 m + 1 km 500 m = 0.876 km + 1.5 km
= 2.376 km or 2km 376 m
v) We want to solve:
2 km 50 m - 950 m
From conversion factors, we know that:
1 km = 1000 m
Thus:
2 km 50 m = 2.05 km
950m = 0.95 km
Thus:
2 km 50 m - 950 m = 2.05 km - 0.95 km
= 1.1 km or 1 km 100 m
Read more about Conversion of Units at: https://brainly.com/question/9032119
#SPJ1
Determine the simple interest on an account paying 5.5% annually interest of an investment of $20,650. a. $1115.65 c. $1135.75 b. $1125.55 d. $1145.45
You repeatedly roll an ordinary six-sided die until you roll a perfect square. Let XX be the number of times you roll the die. Pick the answer choice with the lowest value.
Answer:
See below
Step-by-step explanation:
A roll of ' 1 ' or ' 4 ' would be a perfect square ....two chances out of a possible six rolls 1/3 chance
a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a straight path. how fast is the tip of her shadow moving when she is 45 ft from the base of the pole?
The most appropriate choice for similarity of triangles will be given by -
Speed of tip of the shadow of woman = 6 ft/s
What are similar triangles?
Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.
Here,
The diagram has been attached here
Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.
Height of street light = 18 ft
Height of woman = 6ft
The two triangles are similar [As height of woman is parallel to the height of pole]
\(\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\\)
To find the speed, we have to differentiate both sides with respect to time 't'
\(\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6\)
Speed of tip of her shadow = 6 ft
To learn more about similarity of triangles, refer to the link-
https://brainly.com/question/14285697
#SPJ4
Which shows the Identity Property?
A. 2 +7=7 +2
B. 4 + 0 = 4
C. 6+ (4 + 8) = (6 + 8) + 4
Answer:
B shows the Identity Property.
Step-by-step explanation:
x+0=x
does the line with parametric form = <1 t, 2- t , 5-3t> intersect the plane 3x- 6y z=1 ? if so, where? if not, why not?
Yes because the line with parametric form <1+t, 2-t, 5-3t> intersects the plane 3x-6y+z=1 at the point (11/6, 7/6, 5/2)
To find the point of intersection, we can substitute the parametric equations of the line into the equation of the plane:
3(1+t) - 6(2-t) + (5-3t) = 1
Simplifying the equation gives us:
3 + 3t - 12 + 6t + 5 - 3t = 1
6t - 4 = 1
6t = 5
t = 5/6
Now we can substitute t=5/6 back into the parametric equations of the line to find the point of intersection:
x = 1 + (5/6) = 11/6
y = 2 - (5/6) = 7/6
z = 5 - 3(5/6) = 5/2
So the point of intersection is (11/6, 7/6, 5/2).
Therefore, the line with parametric form <1+t, 2-t, 5-3t> intersects the plane 3x-6y+z=1 at the point (11/6, 7/6, 5/2).
To know more about parametric form click on below link:
https://brainly.com/question/29146759#
#SPJ11
ms. forsythe gave the same algebra test to her three classes. the first class averaged $80\%$, the second class averaged $85\%$, and the third $89\%$. together, the first two classes averaged $83\%$, and the second and third classes together averaged $87\%$. what was the average for all three classes combined? express your answer to the nearest hundredth.
Let x= the average for all three classes combined. So x=85.25.
What is average?When you add two or more numbers and divide the result by the number of numbers you added together, you obtain an average.
How to calculate average?The arithmetic mean is determined by adding a collection of numbers, dividing by their count, and obtaining the result.
average = total points / number of students
total points = average*number of students
Let the total number of students in each class = a , b and x
The total number of points the first class amassed was 80a
The total number of points amassed by the second class was 85b
The total number of points amassed by the third class = 89c
For the first two classes we have
[ 80a + 85b ] / [ a + b] = 83
80a + 85b = 83a + 83b
subtract 80a, 83b from both sides
3a = 2b
a = 2/3b
For the second two classes we have
[ 85b + 89c ] / [ b + c ] = 87
[ 85b + 89c ] = 87 [b + c]
85b + 89c = 87b + 87c
subtract 85b, 87c from both sides
2c = 2b
b = c
For the three classes.....
Total points by all three classes / number of class members = the average for all three classes
[ 80a + 85b + 89c ] / [ a + b + c ] =[sub for a and c ]
[80 (2/3)b + 85b + 89b] / [ (2/3)b + b + b ]
b [ 80 (2/3) + 85 + 89 ] / [ b [( 2/3) + 1 + 1] ] [cancel the b's ]
[ 80 (2/3) + 85 + 89] [ 8/3 ]
[ 160/3 + 85 + 89 ] / [8/3] =
[ 160/3 + 255/3 + 267/3] / [8/3] multiply top/bottom by 3
[160 + 255 + 267 ] / 8 =
85.25 = average for all three classes
To learn more about average visit the link:
https://brainly.com/question/20118982
#SPJ4
Which value is the solution to the equation 2b + 5b - 7 = 14. When the replacement set is {2, 3, 4, 5}?
Answer:
2.25
Step-by-step explanation:
2b + 2b - 4=5
Add 2b + 2b
bring down the -4 and 5
4b - 4=5
4b= 5+4
Add 5 + 4=9
4÷4b=9÷4 -Divide n both side
cancel the 4 sense their the same and bring down the B
Divide 9 and 4
9÷ 4= 2.25
B=2.25
use the binomial theorem to find the binomial expansion of the given expression. (2x-3y)^5.
show work
Answer:
(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n
The binomial expansion of (2x - 3y)^5 is:
32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5
The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.
The given expression is (2x-3y)⁵.
In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.
(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵
= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵
= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵
Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.
To learn more about the binomial expansion visit:
https://brainly.com/question/31363254.
#SPJ2
Hiiiioo can someone please help me with this!❤️❤️:)
Answer:
7.4 in
Step-by-step explanation:
The diagonal divides the rectangle into 2 right triangles.
The diagonal is the hypotenuse and the length l is a leg ( adjacent) to angle
Using the cosine ratio in the right triangle
cos22° = \(\frac{adjacent}{hypotenuse}\) = \(\frac{l}{8}\) ( multiply both sides by 8 )
8 × cos22° = l , then l ≈ 7.4 in ( to the nearest tenth )
PLS HELP AND SHOW WORK PLS
A librarian has 274 return books. 50 of the books are reserved at her desk, and the remaining books need to be shelved. Each shelf can hold 14 books. write and solve an equation to find the number of shelves needed.
Answer: 16
Step-by-step explanation:
274-50=224/14=16
Answer:
16
Step-by-step explanation:
When going from an α (or significance level) of 5% to a new one of 1% : A) the probability of committing a Type I error will be greater B) the power of the test will be lower C) β
will be decreased
A) The probability of committing a Type I error will be lower.
When going from an α (or significance level) of 5% to a new one of 1%:
A) The probability of committing a Type I error will be lower.
The significance level (α) is the threshold at which we reject the null hypothesis in hypothesis testing. A lower significance level means that we require stronger evidence to reject the null hypothesis. By reducing the significance level from 5% to 1%, we decrease the probability of incorrectly rejecting the null hypothesis when it is actually true, which is known as a Type I error. Therefore, the correct statement is that the probability of committing a Type I error will be lower.
B) The power of the test will be lower.
The power of a statistical test is the probability of correctly rejecting the null hypothesis when it is false (i.e., avoiding a Type II error). Lowering the significance level from 5% to 1% makes it more challenging to reject the null hypothesis, which means that the power of the test will be lower. This implies that the test will have a harder time detecting a true effect or difference if it exists.
C) β will be decreased.
β (beta) is the probability of committing a Type II error, which is failing to reject the null hypothesis when it is false. Lowering the significance level from 5% to 1% reduces the chance of making a Type II error, which means that β will be decreased. This implies that the test becomes more sensitive in detecting true effects or differences, as the likelihood of mistakenly accepting the null hypothesis when it is false decreases.
In summary, the correct statement is:
A) The probability of committing a Type I error will be lower.
To know more about probability visit:
brainly.com/question/32117953
#SPJ11
here is the screenshot
Answer:
32 match sticks
Step-by-step explanation:
4 x 8 = 32
hope this helps
Answer:
4 times 8 is 32 theres 4 in each sqaure so there will be 32 match sticks
Step-by-step explanation:
have a good day :P
if angle 2 equals 67°, what does angle 1 equal? *
Answer:
23 degrees.
Step-by-step explanation:
90 - 67 = 23
This is assuming that the entire angle, including 1 and 2 adds up to 90. Please check this before using my answer.
One number is nine more than another number. If the sum of the number is 65, find both numbers
Answer:
Step-by-step explanation:
x+x+9=65
2x=56
x=28
28,37
Answer:
one number= 28, other number= 37
Step-by-step explanation:
9+x+x=65
9+2x=65
2x=56
x=28
Given the system of equations below. Use the Inverse of the matrix method to solve. x+2y+3z=11
2x+4y+5z=21
3x+5y+6z=27
The solution of the given system of equations is x = -4, y = 5 and z = 2 is the answer.
The system of equations given below:x + 2y + 3z = 11;2x + 4y + 5z = 21;3x + 5y + 6z = 27.
Here, we will solve this system of equations using inverse of the matrix method as follows:
We can write the given system of equations in matrix form as AX = B where, A = [1 2 3; 2 4 5; 3 5 6], X = [x; y; z] and B = [11; 21; 27].
The inverse of matrix A is given by the formula: A-1 = (1/ det(A)) [d11 d12 d13; d21 d22 d23; d31 d32 d33] where,
d11 = A22A33 – A23A32 = (4 × 6) – (5 × 5) = -1,
d12 = -(A21A33 – A23A31) = -[ (2 × 6) – (5 × 3)] = 3,
d13 = A21A32 – A22A31 = (2 × 5) – (4 × 3) = -2,
d21 = -(A12A33 – A13A32) = -[(2 × 6) – (5 × 3)] = 3,
d22 = A11A33 – A13A31 = (1 × 6) – (3 × 3) = 0,
d23 = -(A11A32 – A12A31) = -[(1 × 5) – (2 × 3)] = 1,
d31 = A12A23 – A13A22 = (2 × 5) – (3 × 4) = -2,
d32 = -(A11A23 – A13A21) = -[(1 × 5) – (3 × 3)] = 4,
d33 = A11A22 – A12A21 = (1 × 4) – (2 × 2) = 0.
We have A-1 = (-1/1) [0 3 -2; 3 0 1; -2 1 0] = [0 -3 2; -3 0 -1; 2 -1 0]
Now, X = A-1 B = [0 -3 2; -3 0 -1; 2 -1 0] [11; 21; 27] = [-4; 5; 2]
Therefore, the solution of the given system of equations is x = -4, y = 5 and z = 2.
know more about matrix method
https://brainly.com/question/32106604
#SPJ11
hertz runs a sale or both avis buys new cars and budget lowers rates.
The statement you provided mentions two separate events involving different companies lower rates
1. Hertz runs a sale: Hertz, a car rental company, is having a sale. This implies that they are offering in discounted prices or promotional deals on their rental services.
2. Avis buys new cars and Budget lowers rates: Avis, another car rental company, is purchasing that new cars to add to their fleet. On the other hand, Budget, yet another car rental the company, is reducing their rental rates.
These events indicate of independent actions taken by the respective companies and are not directly connected to each other.
To learn more about RATE click here:
brainly.com/question/15059713
#SPJ11
An automatic machine in a manufacturing process is operating groperly if the iengths of an important subcomponent are normally distributed with a mean of izal cri and a otandard deviation of 5.6 cm. A. Find the probability that one selected subcomponent is longer than 122 cm, Probability = B3. Find the probability that if 3 subcomponents are randomly selected, their mean length exceeds 122 cm. Probability win C. Find the probabilify that if 3 are randomly selected, ail 3 have lengths that exceed 122 cm. Probability =
A. The probability that one selected subcomponent is longer than 122 cm can be found by calculating the area under the normal distribution curve to the right of 122 cm. We can use the z-score formula to standardize the value and then look up the corresponding probability in the standard normal distribution table.
z = (122 - μ) / σ = (122 - 100) / 5.6 = 3.93 (approx.)
Looking up the corresponding probability for a z-score of 3.93 in the standard normal distribution table, we find that it is approximately 0.9999. Therefore, the probability that one selected subcomponent is longer than 122 cm is approximately 0.9999 or 99.99%.
B. To find the probability that the mean length of three randomly selected subcomponents exceeds 122 cm, we need to consider the distribution of the sample mean. Since the sample size is 3 and the subcomponent lengths are normally distributed, the distribution of the sample mean will also be normal.
The mean of the sample mean will still be the same as the population mean, which is 100 cm. However, the standard deviation of the sample mean (also known as the standard error) will be the population standard deviation divided by the square root of the sample size.
Standard error = σ / √n = 5.6 / √3 ≈ 3.24 cm
Now we can calculate the z-score for a mean length of 122 cm:
z = (122 - μ) / standard error = (122 - 100) / 3.24 ≈ 6.79 (approx.)
Again, looking up the corresponding probability for a z-score of 6.79 in the standard normal distribution table, we find that it is extremely close to 1. Therefore, the probability that the mean length of three randomly selected subcomponents exceeds 122 cm is very close to 1 or 100%.
C. If we want to find the probability that all three randomly selected subcomponents have lengths exceeding 122 cm, we can use the probability from Part A and raise it to the power of the sample size since we need all three subcomponents to satisfy the condition.
Probability = (0.9999)^3 ≈ 0.9997
Therefore, the probability that if three subcomponents are randomly selected, all three of them have lengths that exceed 122 cm is approximately 0.9997 or 99.97%.
Based on the given information about the normal distribution of subcomponent lengths, we calculated the probabilities for different scenarios. We found that the probability of selecting a subcomponent longer than 122 cm is very high at 99.99%. Similarly, the probability of the mean length of three subcomponents exceeding 122 cm is also very high at 100%. Finally, the probability that all three randomly selected subcomponents have lengths exceeding 122 cm is approximately 99.97%. These probabilities provide insights into the performance of the automatic machine in terms of producing longer subcomponents.
To know more about probability follow the link:
https://brainly.com/question/251701
#SPJ11
does anyone know what 3.2 ÷ 0 ???
Answer:
Infinity
Step-by-step explanation:
Look it up, its how it works. 0 can go into 3.2 infinity times.