Answer:
The cost C, of hosting the banquet with the services of Caterer One is;
C = $ 45·n
The cost C, of hosting the banquet with the services of Caterer Two is;
C = $250 + $ 28·n
The cost C, of hosting the banquet with the services of Caterer Three is;
C = $500 + $ 20·n
Step-by-step explanation:
The information includes;
The amount available to the group for the banquet = $120
The number of people attending the banquet = n
The cost incurred in hosting the banquet = C
The major costs in hosting the banquet are hall rental and caterer
The cost per caterer are as follows;
Caterer One
The cost per person including the hall = $45
Therefore, the cost incurred, C, in hosting the banquet using caterer one is equal;
C = n × $45 = $ 45·n
Caterer Two
The hall rental = $250
The cost per person = $28
Therefore, the cost incurred, C, in hosting the banquet using caterer two is equal;
C = $250 + n × $28 = $250 + $ 28·n
Caterer Three
The hall rental = $500
The cost per person = $20
Therefore, the cost incurred, C, in hosting the banquet using caterer three is equal;
C = $500 + n × $20 = $500 + $ 20·n.
Answer:
The cost C, of hosting the banquet with the services of Caterer One is;
C = $ 45·n
The cost C, of hosting the banquet with the services of Caterer Two is;
C = $250 + $ 28·n
The cost C, of hosting the banquet with the services of Caterer Three is;
C = $500 + $ 20·n
Step-by-step explanation:
The information includes;
The amount available to the group for the banquet = $120
The number of people attending the banquet = n
The cost incurred in hosting the banquet = C
The major costs in hosting the banquet are hall rental and caterer
The cost per caterer are as follows;
Caterer One
The cost per person including the hall = $45
Therefore, the cost incurred, C, in hosting the banquet using caterer one is equal;
C = n × $45 = $ 45·n
Caterer Two
The hall rental = $250
The cost per person = $28
Therefore, the cost incurred, C, in hosting the banquet using caterer two is equal;
C = $250 + n × $28 = $250 + $ 28·n
Caterer Three
The hall rental = $500
The cost per person = $20
Therefore, the cost incurred, C, in hosting the banquet using caterer three is equal;
C = $500 + n × $20 = $500 + $ 20·n.
A rectangular sheet of paper was folded in half 6 times. In the middle of this folded sheet, two holes were drilled. Then, the sheet of paper was unfolded back to its original shape. How many holes are there?
Answer:
There will be 128 holes
Step-by-step explanation:
Simply think of each fold as doubling the number of holes. So since we have 6 folds, that will be 2^6 and then we have 2 holes in those folds, which makes 2*2^6 == 2^7 == 128 holes. Cheers.
Folding of the paper is an illustration of a geometric sequence
The number of holes in the rectangular paper is 128
The given parameters are:
[tex]\mathbf{h = 2}[/tex] --- holes
[tex]\mathbf{t = 6}[/tex] --- number of times
The sheet was folded in halves i.e. in 2's.
So, the amount of each time is:
[tex]\mathbf{f(t) = 2 \times h^t}[/tex]
Substitute values for h and t
[tex]\mathbf{f(6) = 2 \times 2^6}[/tex]
Evaluate the exponent
[tex]\mathbf{f(6) = 2 \times 64}[/tex]
Multiply
[tex]\mathbf{f(6) = 128}[/tex]
Hence, the number of holes in the rectangular paper is 128
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Is it possible to draw a triangle whose sides are as follows? 6 cm, 7 cm, 17 cm. Give reasons to support your answer.
Answer:
No
Step-by-step explanation:
The sum of two random sides of a triangle must be bigger than the third side and their differences must be smaller than the third side
For example
3 - 4 - 5 can be made into a triangle because 3 + 4 > 5 and 4 - 3 < 5
In the equation y= 22 - 3.c + 8the y-intercept is - 3
True
O False
Answer:
False
Step-by-step explanation:
[tex]y = x^2-3x+8[/tex]
Y-intercept is when x = 0
So, Putting x = 0 in the above equation
[tex]y = (0)^2-3(0)+8\\y = 0-0+8\\y = 8[/tex]
So, y-intercept = 8
y-intercept = -3 is a false statement.
Answer:
[tex]\boxed{false}[/tex]
Step-by-step explanation:
The y-intercept is when the value of x is 0.
Let x = 0
y = 0² - 3(0) + 8
y = 0 - 0 + 8
y = 8
The y-intercept is 8.
Help please! Thank you
The stock of Company A lost 2.75% today to $77.80. What was the opening price of the stock in the beginning of the day?
Answer:
$80
Step-by-step explanation: $80.00*.0275= 2.20 80.-2.20=$77.80
The opening price of the stock in the beginning is A = $ 80
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Let the opening price of the stock in the beginning be A
Now , the percentage of decrease in the stock price = 2.75 %
And , the price after decrease = $ 77.80
On simplifying , we get
The opening price of the stock in the beginning - ( percentage of decrease in the stock price ) x opening price of the stock in the beginning = $ 77.80
A - ( 2.75 / 100 )A = 77.80
( 97.25/100 )A = 77.80
Divide by 97.25 on both sides , we get
A / 100 = 0.8
Multiply by 100 on both sides , we get
A = $ 80
Hence , the opening price of the stock is A = $ 80
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*Marie made a model (shown below) of the square pyramid she plans to build when she grows up. Find the surface area of the model. 8 12 12
Answer:
336m^2
Step-by-step explanation:
The triangle area is half of base times height so: 1/2*8*12=48m^2
There are 4 triangles so 48*4=192
Then the square base area is side times side so: 12*12=144m^2
Then surface area of model is 192m^2+144m^2=336m^2
Answer:
336 m²
Step-by-step explanation:
We can find the surface area of this pyramid by finding the surface area of one of the sides, multiplying it by 4 (as there are 4 sides to the pyramid) then adding it to the surface area of the base.
Each side of this (excluding the base) is a triangle, and to find the area of a triangle we use the equation [tex]\frac{b \cdot h}{2}[/tex].
[tex]\frac{12 \cdot 8}{2}[/tex]
[tex]\frac{96}{2}[/tex]
48.
So, one side of this is 48. Multiplying it by 4 gets us 192.
Now we have to add the area of the base. The area of the bass is a square with side lengths of 12, so we can square 12 to get the area of the bass. 12² = 144.
Now let's add these numbers:
192+144 = 336
So, 336 m² is what this comes out to.
Hope this helped!
What's the correct answer to this..? Please help
Answer:
D. {x:-8≤x<-5}
Step-by-step explanation:
x≥-8
x={-8,-7,-6,-5,-4,-3,-2,-1,0...}
x<-5
x={-6,-7,-8,-9,-0...}
Numbers equal to or less than -8 are also less than -5
Hope it helps ;) ❤❤❤
Answer:
The answer is "D"
Instructions: Find the measure of the indicated angle to the
nearest degree
Answer:
The answer is
31°Step-by-step explanation:
Let the unknown angle be x
To find x we use cosine
cos∅ = adjacent / hypotenuse
From the question
The hypotenuse is 56
The adjacent is 48
So we have
cos x = 48/56
cos x = 6/7
x = cos-¹ 6/7
x = 31.003
x = 31° to the nearest degree
Hope this helps you
Simplify x2 + 5x + 4/
X + 4
Answer:
[tex]\frac{x3 + 5x2 + 4x + 4}{x}[/tex]
Step-by-step explanation:
x2+5x+ 4/x+4
Choose the kind(s) of symmetry for the letter(D). Select all that apply Point Line Plane None
Answer:
The only way is across.
PLZ HELP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST What is the slope-intercept form of the equation of the line that passes through the points (2, 7) and (4, −1)? y=−4x+15 y=−4x+3 y=−4x+30 y=−4x+12
Answer:
A.
Step-by-step explanation:
We are given the two points (2,7) and (4,-1). In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope m. Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:
[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{-1-7}{4-2}=-8/2=-4[/tex]
Thus, the slope is -4.
Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:
[tex]y-y_1=m(x-x_1)[/tex]
Where (x1, y1) is a coordinate pair and m is the slope.
Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:
[tex]y-(7)=-4(x-(2))\\y-7=-4x+8\\y=-4x+15[/tex]
This is also slope-intercept form. The answer is A.
Answer:
A. y=-4x+15
Step-by-step explanation:
First, you want to find the slope by using the formula
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
The first step is to put in the right numbers,
[tex]\frac{-1-7}{4-2}[/tex]
Then, subtract the numbers accordingly
[tex]\frac{-8}{2}[/tex]
Then simplify
[tex]\frac{-4}{1}[/tex] or -4
The next step is finding the y-intercept, you can do this by drawing it out or using the formula (i will be using the point (2,7) where y is 7 and x is 2)
y=-4x+b Plug in the values
7=-4(2)+b Multiply
7=-8+b add 8 to both sides to isolate the variable
15=b
so y=-4x+15
Hope this helps, if you have any questions, feel free to ask.
Have a good day! :)
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
y = 7x + 8
y = x + 20
O A. (3, 29)
B. (7,8)
O C. (2,8)
O D. (2,22)
So option (D) is Correct.
Please can someone help me with this
Answer:
[tex]\boxed{V = 434.9 \ cm^3 }[/tex]
Step-by-step explanation:
Volume of Sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 4.7 cm
V = [tex]\frac{4}{3} (3.14)(4.7)^3[/tex]
V = [tex]\frac{4}{3} (3.14)(103.8)[/tex]
V = [tex]\frac{1304.7}{3}[/tex]
V = 434.9 cm³ (Up to 1 dp)
Answer:
Step-by-step explanation:
4/3×22/7×4.7^3=435.1cm
Is anyone good at probabiltiy??
Pls helppppp
In a school, 60% of the students take a foreign language class and 20% of
students take both foreign language and technology. What is the probability that a student takes technology given that the students takes foreign language?
Answer:
1/3
Step-by-step explanation:
Only 20% / 60% = 1/3 of the foreign language students take technology as well, therefore the probability would be 1/3.
Given: AB = BC, AC is ∠ bisector of ∠BAD Prove: BC ∥ AD
Answer:
<BAC ≅ BCA by rule Base angle theorem
Step-by-step explanation:
What we know:
BAC = DAC
BC = BA
ΔBCA is an isosceles so ∠BCA = ∠DCA and ∠BAC
and we found that out by base angle theorem since
Base angle Theorem = Two base angles of a icosceles triangle are equal.
And since ΔBCA is an isoceles then ∠A and ∠C will be equal. And so we can prove BC is a parallel to AD
The proof that BC ∥ AD from the given statements is that;
BC ∥ AD because of the definition of alternate angles
We are given;
AB = BC
AC is ∠ bisector of ∠BAD
Since AC is the angle bisector of ∠BAD, it means that;
∠BAC = ∠DAC (definition of a bisected angle)
Now, since AB = BC, it means that ΔBCA is an isosceles triangle.
Thus; ∠BCA = ∠BAC (base angle theorem)
Now, since ∠BCA = ∠BAC, and ∠BAC = ∠DAC, we can say that;
∠BCA = ∠DAC
This means ∠BCA and ∠DAC are alternate angles. Thus, we can say that AC is the transversal line carrying the two equal angles.
Thus, we can say that BC is parallel to AD as they are the parallel lines cut by the transversal line AC.
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10 pts
A 25-foot ladder is placed against a building and the top of the ladder makes a 32° angle with the
building. How many feet away from the building is the base of the ladder? Write only the number
rounded to the nearest tenth of a foot.
Answer:
13.2 ft
Step-by-step explanation:
We are given a ladder, a building, and an angle. Let's construct a right triangle (see attachment).
In this right triangle, we know that the hypotenuse (the ladder) is 25 feet, while the angle made between the top of the ladder and the building is 32°. Since we want to find the number of feet between the building and the base of the ladder, we will use the trigonometric function sine, which is opposite divided by hypotenuse.
Here, the opposite side is the value we want to find, while the hypotenuse is the length of the ladder.
We have:
sin(32°) = opposite / hypotenuse = x / 25
x = 25 * sin(32°) ≈ 13.2 ft
The answer is thus 13.2 ft.
~ an aesthetics lover
What is the standard form of the equation for this circle?
A (x-1)2-(y + 10)² + 4 = 0
B. (x - 1)2 - +10)2 = 2
c. (x + 1)2 + (y- 1072 = 4
D. (x-1)2-(y + 10)² =
Answer:
(x + 1)² + (y - 10)² = 4
Step-by-step explanation:
Standard form of the equation of a circle is given by,
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle and 'r' is the radius.
In the given question coordinates of the center A are (-1, 10) and radius of the circle is 2 units.
By substituting these values in the formula,
(x + 1)² + (y - 10)² = 2²
(x + 1)² + (y - 10)² = 4
Therefore, standard form of the equation of the given circle is (x + 1)² + (y - 10)² = 4
which explicit formula can be used to find the number of rabbits in the nth generation ?
Answer:
Option B. an = 3• 6ⁿ¯¹
Step-by-step explanation:
The following data were obtained from the question:
First generation = 3
2nd generation = 1st generation x 6
2nd generation = 3 x 6 = 18
3rd generation = 2nd generation x 6
3rd generation = 18 x 6 = 108
Therefore, we can thus form a sequence as:
3, 18, 108
Since the 2nd term is obtained by multiplying the previous term (i.e the 1st term) by 6 and also, the 3rd is obtained by multiplying the 2nd by 6, the sequence is a geometric progression.
Thus,
The common ratio (r) = 6
The first term (a) = 3
The nth term (an) =?
The nth term of geometric progression is given as
an = arⁿ¯¹
Inputing the value of the first term (a) and common ratio (r) into the above equation, we obtained:
an = arⁿ¯¹
an = 3• 6ⁿ¯¹
Therefore, the explicit formula which can be used to find the number of rabbits in the nth generation is
an = 3• 6ⁿ¯¹
Determine what type of quadrilateral ABCD is, given the following points. A(0,0) B(5,0) C(0,4) D(5,4) Parallelogram, Rectangle, Rhombus, or Square
Answer:
None
Step-by-step explanation:
You wrote:
"Determine what type of quadrilateral ABCD is, given the following points. A(0,0) B(5,0) C(0,4) D(5,4) Parallelogram, Rectangle, Rhombus, or Square"
According to what you wrote, you don't have any of the listed quadrilaterals.
ABCD (in that precise order) is not a simple polygon according to the coordinates of the points since there is an internal intersection of sides.
ABDC, though, is a rectangle.
The quadrilateral with points A(0,0), B(5,0), C(0,4) and D(5,4) is a rectangle, option B is correct.
To find the type of quadrilateral find the length of four sides:
For A(0,0) and B(5,0)
AB=√(5-0)²+(0-0)²
AB=5 units
For B(5,0) and D(5,4)
BD=√(5-5)²+(4-0)²
BD=√16
BD=4 units
For C(0,4) and D(5,4):
BD=√(5-0)²+(4-4)²
=5 units
For A(0,0) and C(0,4):
AC=√(0-0)²+(4-0)²
= 4 units.
In the quadrilateral the opposite sides are equal, so it is a rectangle.
Hence, the quadrilateral is a rectangle. Option B is correct.
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Complete question:
Determine what type of quadrilateral ABCD is, given the following points. A(0,0) B(5,0) C(0,4) D(5,4)
(A) Parallelogram
(B) Rectangle
(C) Rhombus
(D)Square
Subtract: (7-6i)(4+2i)
Answer:
(3-8i)
Step-by-step explanation:
Group the real part and the imaginary part of the complex number
Given: l | | m m 1 = 140° m 3 = 50° m 6 =
Answer:
m∠6 = 90°
Step-by-step explanation:
∠1 and ∠2 are a linear pair. This means they are supplementary, or their measures sum to 180°. To find m∠2, we subtract m∠1 from 180:
180-140 = 40°
The measure of ∠2 is 40°.
The sum of the measures of the angles in a triangle is 180°. We have ∠2 and ∠3; to find the measure of ∠6, we subtract these two from 180:
180-(40+50) = 180-90 = 90°
There are 48 crackers on a plate which are going to be shared by 5 friends. Which of the following best describes how many crackers each person will get?
2 people get 10 crackers each 3 people get 9 crackers each
2 people get 13 crackers each 3 people get 12 crackers each
3 people get 10 crackers each 2 people get 9 crackers each
4 people get 8 crackers each 1 person gets 15 crackers each
will mark brainliest!!!
Answer:
3 people get 10 crackers each 2 people get 9 crackers each
Step-by-step explanation:
SO WE CHECK THE OTHER ANSWERS
1. 2 people get 10 crackers each 3 people get 9 crackers each
(2*10)+(3*9)=?
20+27=47
WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48
2. 2 people get 13 crackers each 3 people get 12 crackers each
(2*13)+(3*12)=?
26+36=62
WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48
3. 3 people get 10 crackers each 2 people get 9 crackers each
(3*10)+(2*9)=?
30+18=48
WHICH IS CORRECT CAUSE THE SUM SHOULD BE 48
4. 4 people get 8 crackers each 1 person gets 15 crackers each
(4*8)+(1*15)=?
32+15=47
WHICH IS WRONG CAUSE WE NEED THE SUM TO BE 48
SO THE ANSWER IS 3 people get 10 crackers each 2 people get 9 crackers each
I HOPE I HELPED
PLS MARK BRAINLIEST!!!!!! (DESPERATELY TRYING TO LEVEL UP)
IT TOOK ME 10 MINS TO TYPE THIS
-ZYLYNN JADE
help me quickly, please! For a function p(x), as |x|= infinity, then p(x)=2. which of the following graphs could be p(x)
Answer:
A
Step-by-step explanation:
What as |x|= infinity, then p(x)=2 mean is that,
as x get bigger on either side of +ve or -ve, you get really close to 2.
Graph A could be p(x).
The answer is option A.
What is a simple definition of function?
A function is defined as a relation between a fixed of inputs having one output every. In easy words, a function is dating between inputs in which every entry is associated with precisely one output. Each function has a site and codomain or range.
What is a function example?A function can then be defined as a set of ordered pairs: Example: {(2,4), (3,5), (7,3)} is a function that says. "2 is related to 4", "3 is related to 5" and "7 is related 3". Also, notice that: the domain is {2,3,7} (the input values).
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Write the equations after translating the graph of y = | 1/2 x−2|+3 One unit to the left. FIRST ANWSER GETS BRAINILY!!!!
Answer:
Translating it to the left by 1 unit means that we need to add 1 from the quantity in the absolute value symbols. However, it is 1/2x and not x so we only add 1/2 which gives us y = |1/2x - 1.5| + 3.
What is the area of the polygon below?
Answer:
[tex]24 units^2[/tex]
Step-by-step explanation:
Well we can divide the given polygon into smaller triangles.
The triangle on the upper right corner has a base of 4 units and a height of 3 units.
So we use the following formula,
[tex]\frac{b*h}{2}[/tex]
4*3 = 12
12 / 2 = 6 units^2
Now we can do the bottom triangle.
It has a base of 4 units and a height of 1 unit.
So 4*1 = 4
4 / 2 = 2 units^2
Now for the top left triangle.
It has a base of 4 units and a height of 2 units.
So 4*2 = 8
8 / 2 = 4 units^2
Now all we have is the middle part.
Its a triangle with a base of 4 units and a height of 2 units.
So 4*2 = 8
8 / 2 = 4 units^2
6 + 2 + 4 + 4 = 16 units^2
Thus,
after adding everything up the total area of the polygon is 16 units^2.
Hope this helps :)
IMAGE BELOW The equations x minus 2 y = 4, 4 x + 5 y = 8, 6 x minus 5 y = 15, and x + 2 y = 0 are shown on the graph below.
Which system of equations has a solution of approximately (1.8, –0.9)?
6 x minus 5 y = 15 and x + 2 y = 0
4 x + 5 y = 8 and 6 x minus 5 y = 15
x minus 2 y = 4 and 4 x + 5 y = 8
6 x minus 5 y = 15 and x minus 2 y = 4
Answer:
6x - 5y = 15 and x + 2y = 0
Step-by-step explanation:
Here we are given the following equations:
i) x-2y= 4
ii) 4x+5y= 8
iii) 6x-5y=15
iv) x+2y=0
Required:
Which system of equations has a solution of approximately (1.8, –0.9).
To find the approximate equations, substitute x and y for 1.8 and -0.9 into all the equations respectively and check the resulting values
i) Substitute (1.8, -0.9) in x-2y= 4:
1.8 - 2(-0.9) = 4.
1.8 + 1.8 = 4.
3.6 ≠ 4.
ii) Substitute (1.8, -0.9) in 4x+5y= 8
4(1.8) + 5(-0.9) = 8
7.2 - 4.5 = 8.
2.7 ≠ 8.
iii) Substitute (1.8, -0.9) in 6x-5y=15
6(1.8) - 5(-0.9) = 15.
10.8 + 4.5 = 15
15.3 ≠ 15.
This equation has a solution that is close, therefore it is correct.
iv) Substitute (1.8, -0.9) in x+2y=0
1.8 + 2(-0.9) = 0.
1.8 - 1.8 = 0.
0 = 0.
x + 2 y = 0 has the exact value, therefore it is also correct.
The system of equations that has a solution of approximately (1.8, –0.9) are:
x+2y=0 and 6x-5y=15
Answer:
the correct answer is A
Step-by-step explanation:
How To Solve these?
Answer:
a. 15/23
b. 13/27
c. 400g
Step-by-step explanation:
a. When the denominators are the same, you can just sum the numerators.
Which becomes, 13+2=15--> 15/23
b. Same, when the denominator is the same, you can just minus the numerators. Which becomes, 25-12=13--> 13/27
c. 1kg=1000g. 1000/5=200✖️2=400
Which function does this graph represent ?
Answer:
choice A: f(x)=3(x+1)^2+2
Step-by-step explanation:
All the choices are written in vertex form.
The vertex of the graph shown is (-1, 2).
all answer choices show that the a-value in vertex form is a positive 3
the vertex form is f(x)=a(x-h)^2+k, where h is the x-value of the vertex and k is the y-value of the vertex of the parabola
so, the equation with f(x)=3(x-(-1))^2+2, because -1 is the x-value and 2 is the y-value of the vertex
the equation fully simplified is f(x)=3(x+1)^2+2
BRAINLIEST, THANKS AND 5 STARS IF ANSWERED CORRECTLY. Find the 15th term: 3, 1, -1, -3, -5... Find the 14th term: 3, 1, -1, -3, -5...
Answer:
-25 and -23
Step-by-step explanation:
The arithmetic sequences are the same so we will have the same formula for each of them. The first term (a₁) is 3 and the common difference (d) is -2.
Explicit formula: aₙ = a₁ + (n - 1) * d
Our formula is aₙ = 3 + (n - 1) * (-2) = -2n + 5
a₁₅ = -2 * 15 + 5 = -25
a₁₄ = -2 * 14 + 5 = -23
Answer: -25 and -23
Step-by-step explanation:
A student was asked to find a 99% confidence interval for widget width using data from a random sample of size n = 29. Which of the following is a correct interpretation of the interval 14.3 < mu < 30.4? Check all that are correct.
A. With 99% confidence, the mean width of all widgets is between 14.3 and 30.4.
B. The mean width of all widgets is between 14.3 and 30.4,99% of the time. We know this is true because the mean of our sample is between 14.3 and 30.4.
C. There is a 99% chance that the mean of the population is between 14.3 and 30.4.
D. With 99% confidence, the mean width of a randomly selected widget will be between 14.3 and 30.4.
E. There is a 99% chance that the mean of a sample of 29 widgets will be between 14.3 and 30.4.
Answer:
The correct options are (A), (C) and (D).
Step-by-step explanation:
The (1 - α)% confidence interval for population parameter implies that there is a (1 - α) probability that the true value of the parameter is included in the interval.
Or, the (1 - α)% confidence interval for the parameter implies that there is (1 - α)% confidence or certainty that the true parameter value is contained in the interval.
It is provided that the 99% confidence interval for the mean widget width is:
CI = 14.3 < μ < 30.4
The 99% confidence interval for population mean widget width (14.3, 30.4), implies that there is a 0.99 probability that the true value of the mean widget width is included in the above interval.
Or, the 99% confidence interval for the mean widget width implies that there is 99% confidence or certainty that the true mean widget width value is contained in the interval (14.3, 30.4).
Thus, the correct options are (A), (C) and (D).
Using confidence interval concepts, it is found that the correct options are:
A. With 99% confidence, the mean width of all widgets is between 14.3 and 30.4.
C. There is a 99% chance that the mean of the population is between 14.3 and 30.4.
The interpretation of a x% confidence interval is that we are x% sure that the population mean is in the interval.
In this problem, 99% confidence interval for widget width is between 14.3 and 30.4, hence we are 99% sure that the population mean, that is, the mean width of all widgets is between 14.3 and 30.4, hence options A and C are correct.
A similar problem is given at https://brainly.com/question/15043877