A quality control manager at a tortilla company wants to estimate the mean diameter of the tortillas
produced by a certain machine. The manager is deciding between a 90% confidence level and a 95%
confidence level. Compared to a 90% confidence interval, a 95% confidence interval will be,,

a. Narrower and the margin of error would increase
b. Wider and the margin of error would increase
c. Narrower and the margin of error would decrease
d. Wider and the margin of error would decrease

Answers

Answer 1

Answer:

C. Narrower and the margin of error would decrease

Answer 2

The required, option b (wider and the margin of error would increase) is the correct answer.

What is the margin of error?

In statistics, the margin of error (MOE) is the degree of uncertainty associated with a statistical estimate, usually an estimate of a population parameter based on a sample of data. It is the range of values above and below a sample statistic that is likely to contain the true population parameter with a certain level of confidence.

Compared to a 90% confidence interval, a 95% confidence interval will be wider and the margin of error would increase.

This is because a higher confidence level requires a larger range of possible values to be included in the interval, which in turn leads to a wider interval. With a higher confidence level, the z-score used to calculate the margin of error increases, resulting in a larger margin of error.

Therefore, option b (wider and the margin of error would increase) is the correct answer.

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Related Questions

A triangle has side lengths of (5h – 4k) centimeters, (10h + 7m) centimeters, and
(5m – 2k) centimeters. which expression represents the perimeter, in centimeters,
of the triangle?

Answers

A mathematical expression which best represents the perimeter of this triangle is (15h - 6k + 12m) centimeters.

Given the following data:

Length A = (5h – 4k) centimeters

Length B = (10h + 7m) centimeters

Length C = (5m – 2k) centimeters.

What is a triangle?

A triangle can be defined as a two-dimensional shape that comprises three (3) sides, three (3) vertices and three (3) angles.

How to calculate the perimeter of a triangle.

Mathematically, the perimeter of a triangle is given by this formula:

[tex]P=A+B+C[/tex]

Where:

A, B, and C are length of sides.

Substituting the given parameters into the formula, we have;

[tex]P=(5h - 4k) +(10h + 7m) +(5m - 2k)\\\\P=5h+10h-4k-2k+7m+5m\\\\P=(15h-6k+12m)\;centimeters[/tex]

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Suppose the demand​ d, in units​ sold, for a​ company's jeans at price​ x, in​ dollars, is d(x)=800−4x.

A. If revenue=price×demand​, write the rule for the function​ r(x), which represents the​ company's expected revenue in jean sales. Then state the domain of this function.

B. If the price is ​$30​, how much revenue will the company​ earn?

A. The rule for the function​ r(x) is ​r(x)=

Answers

Answer:

Sorry let me try to understand the question

Step-by-step explanation:

The domain of the function r(x) is (0, 200).

The revenue earned when the price is $30 is $20400.

The rule for the function r(x) is x(800 - 4x).

What is a function?

function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Demand:

d(x) = 800 - 4x

Price = x

Revenue = Price x demand

Revenue = r(x)

A)

The rule for r(x).

r(x) = x d(x) = x(800 - 4x)

The domain of r(x) is 0 < x < 200 i.e (0, 200).

B)

x = 30

r(x) = 30(800 - 4 x 30)

r(x) = 30(800 - 120) = 30 x 680 = 20400

C)

r(x) = x(800 - 4x)

Thus,

The answers are given above.

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Jordan writes 3(4x – 8) = 12x – 8
Explain why his expansion is not correct





Complete the following table and write down each of the expansions
x x -2
x
X (X – 2)

Answers

Hi! What’s -8 times 3?

Find the domain over which the function y = x^2 +6x is mono tonic increasing. Please help

Answers

Answer:

  x > -3

Step-by-step explanation:

The function will be increasing where its derivative is positive.

__

  y = x^2 +6x . . . . . given function

  y' = 2x +6 . . . . . . . derivative

The derivative is positive for ...

  2x +6 > 0

  2x > -6

  x > -3 . . . . . domain where the function is increasing

is this correct if not whats the answer

Answers

Answer:

That answer is correct, when you do a survey, you pick people at random! So your answer is correct. :) If you have any more questions feel free to ask me. ^-^

someone help please

Answers

Steps to finding the line in the diagram with the format 'ax + by = c

1. Find the slope

To find the slope, we need any two points on the line --> (0,4) and (3,0)

                  [tex]Slope = \frac{y2-y1}{x2-x1} =\frac{4-0}{0-3} =-\frac{4}{3}[/tex]

2. Set up, with any one point on the line and the slope, in point-slope form

   

        [tex](y-y0)=m(x-x0)\\(y-4)=-\frac{4}{3} (x-0)\\y-4 = -\frac{4}{3} x\\\frac{4}{3}x+y = 4[/tex]

Answer: [tex]\frac{4}{3}x+y = 4[/tex]

Hope that helps!

Answer:

[tex]\sf 4x+3y=12[/tex]

Step-by-step explanation:

Choose two points on the line:

Let [tex]\sf (x_1,y_1)=(0,4)[/tex]

Let [tex]\sf (x_2,y_2)=(3,0)[/tex]

Use the slope formula to find the slope of the line:

[tex]\sf slope(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-4}{3-0}=-\dfrac43[/tex]

Use the point-slope formula to find the equation of the line:

[tex]\sf y-y_1=m(x-x_1)[/tex]

Substitute values into the formula:

[tex]\sf y-4=-\dfrac43(x-0)[/tex]

Expand the brackets:

[tex]\sf y-4=-\dfrac43x[/tex]

Add 4 to both sides:

[tex]\sf y=-\dfrac43x+4[/tex]

Rearrange into the form [tex]ax+by=c[/tex]

Multiply both sides by 3

[tex]\sf 3y=-4x+12[/tex]

Add 4x to both sides:

[tex]\sf 4x+3y=12[/tex]

At which point would the graphs of the equations below intersect?

{
3
x

4
y
=

2

6
x
+
5
y
=
7
3x-4y = -2 -6x+5y = 7

A.
(

2
,


1
)
(
-
2
,

-
1
)
B.
(
2
,


1
)
(
2
,

-
1
)
C.
(

1
,

2
)
(
-
1
,

2
)
D.
(

1
,


2
)

Answers

Answer:

can't explain without you arranging your mathematical expression

Find the solution of the system of equations.
8x – 2y = -30
–9x + 4y = 18

Answers

Step-by-step explanation:

8x – 2y = -30 } ×2

16x - 4y = -60

–9x + 4y = 18

___________

7x=-42

x=-6

8(-6)-2y=-30

-2y=-18

y=9

Answer:

(-6,-9)

Step-by-step explanation:

The quickest way is to solve with elimination. Multiply the top equation by 2.

2(8x – 2y = -30)

16x-4y=-60

16x-4y=-60

–9x + 4y = 18

7x=-42

x=-6

8x – 2y = -30

8(-6) – 2y = -30

-48-2y=-30

-2y=18

y=-9

hello please help me with this

Answers

Answer:

physical contact needed

Step-by-step explanation:

need to see you

y- 1) The value, y, of a car x years after it is purchased is modeled by the function exponential function y = f(x), whose graph is shown above Which statement about the car's value is true? A) Its initial value is B + A, and it will fall to a value of B B) its initial value is A, and it will fall to a value of B C) Its initial value is A and it will fall to a value of A-B ​

Answers

Given the exponential function y = f(x), a is the initial value and it will fall to a value of B

What is an exponential function?

An exponential function is given by:

y = abˣ

Where a is the initial value of y and b is the multiplication factor.

The value, y, of a car x years after it is purchased is modeled by the exponential function y = f(x), a is the initial value and it will fall to a value of B

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In the circle below, F is the center and lies on line segment AD and BC.

Answers

Answer:

I guess option (C)

Step-by-step explanation:

Hope it helps!!!!

A cyclist bikes a certain distance in 25 minutes. how long would it take a pedestrian to travel the same distance if he travels 2 2/5 times slower than the cyclist?answer = ___________ minutes and ___________ hours.

Answers

Using proportions, it is found that it would take 1 hour for the pedestrian to travel the same distance.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, the cyclist takes 25 minutes, while the pedestrian's time is [tex]2\frac{2}{5} = \frac{12}{5}[/tex] slower(greater), hence his time is given by:

[tex]t = \frac{12}{5} \times 25 = 12 \times 5 = 60[/tex]

It would take 1 hour for the pedestrian to travel the same distance.

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A triangle has sides that measure 2 units, 5 units, and 5. 39 units. What is the area of a circle with a circumference that equals the perimeter of the triangle? Use 3. 14 for π, and round your answer to the nearest whole number. 39 units2 25 units2 49 units2 12 units2.

Answers

The circumference of the circle is equal to the perimeter of the triangle, then the area of the circle is 12 square units. Option D is correct.

What is a circle?

It is a locus of a point drawn equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

A triangle has sides that measure 2 units, 5 units, and 5.39 units.

The circumference of the circle is equal to the perimeter of the triangle. Then the radius of the circle will be

[tex]2 \pi r = 5 + 2 +5.39\\\\r = 1.97[/tex]

Then the area of the circle will be

[tex]\rm Area \ of \ circle = \pi r^2\\\\Area \ of \ circle = \pi 1.97^2\\\\Area \ of \ circle = 12.21 \approx 12[/tex]

The area of the circle is 12 square units.

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How many feet are in 1 yard?​

Answers

how many feet are in one yard?

=3 feet

Answer:

3 Feet

Step-by-step explanation:

HELP DUE TMRW!


The floor plan of a building has a scale of cm to 1 m. A room has an area of
40 cm2 on the floor plan. What is the actual area of the room in square metres?

Answers

Step-by-step explanation:

so, the scale is 1/4 cm to 1 m.

1 m = 100 cm.

1 m² = 100×100 = 10,000 cm²

that means the scaling factor is 0.25/100 = 1/400

(after multiplying with 4/4).

so, every length in reality has to be multiplied by 1/400 to get the length on the plan.

the area of a rectangle is

length × width.

now, applying the scaling factor means that

length×1/400 × width×1/400 = 40

length × width × 1/400×1/400 = actual area × 1/400² = 40

actual area = 40×400² = 6,400,000 cm²

= 6,400,000 / 10,000 = 640 m²

If we want to know if diagonals or sides are congruent we would use the
formula.
distance
midpoint
slope

Answers

When we want to know if the diagonals or sides are congruent we would use the D. Slope.

What is congruent?

It should be noted that congruent in geometry simply means when two objects have same shapes and size.

In this case, when we want to know if the diagonals or sides are congruent we would use the slope. This can show the equality in the shape.

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Dillon buys a hand bag priced at $33. Shipping and handling are an additional 30% of the price. How much shipping and handling will Dillon pay?

Answers

Answer:

$10.89 should be your answer

What value of c makes the polynomial below a perfect square?

Answers

Answer:

B

Step-by-step explanation:

x² + 9x

to complete the square

add ( half the coefficient of the x- term )² to x² + 9x

= x² + 2([tex]\frac{9}{2}[/tex] )x + ([tex]\frac{9}{2}[/tex] )²

= x² + 9x + [tex]\frac{81}{4}[/tex] ← the value of c

= (x + [tex]\frac{9}{2}[/tex] )² ← a perfect square

81/4
Because I found the answer by using a Calculator I found online

Examine this right triangle. A right triangle has a side length of 16 meters and hypotenuse of 20 meters. Which equation can be used to find the missing leg in the triangle? a2 202 = 162 202 162 = a2 a2 162 =202 16 a2 = 20.

Answers

The equation can be used to find the missing leg in the triangle [tex]20^{2} = 16^{2} +a^{2}[/tex].

What is the right triangle?

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.

It is given that a right triangle has a side length of 16 meters and a hypotenuse of 20 meters.

From a Pythagoras theorem

[tex]b^{2} = c^{2} +a^{2} \\20^{2} = 16^{2} +a^{2}\\20^{2}-16^{2} =a^{2}\\a^{2} = 20^{2}-16^{2} \\[/tex]

Thus, the equation can be used to find the missing leg in the triangle [tex]20^{2}-16^{2} =a^{2}[/tex].

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Answer:

Its C
a2 + 162 =202

Step-by-step explanation:

Given that lines b and c are parallel, select all that apply.

Which angles are congruent to 3?

4
7
2
6

Answers

Answer:

Angles 7, 2, and 6

Step-by-step explanation:

       Angle 7 is congruent by corresponding angles to angle 3.

       Angle 2 is congruent by vertical angles to angle 3.

       Angle 6 is congruent by vertical angles to angle 7, which is congruent to angle 3, so angle 3 and angle 6 must also be congruent.

Answer:

7,2,6

Step-by-step explanation:

How can I write a model of a function in a linear relationship? No links or I will report you! The best explanation and answer gets Brainliest!

Answers

Answer:

build linear model

When modeling scenarios with linear functions and solving problems involving quantities with a constant rate of change, we typically follow the same problem solving strategies that we would use for any type of function.

fitting linear models to data

A professor is attempting to identify trends among final exam scores. His class has a mixture of students, so he wonders if there is any relationship between age and final exam scores. One way for him to analyze the scores is by creating a diagram that relates the age of each student to the exam score received.

distinguish between linear and nonlinear relations

As we saw in the cricket-chirp example, some data exhibit strong linear trends, but other data, like the final exam scores plotted by age, are clearly nonlinear. Most calculators and computer software can also provide us with the correlation coefficient, which is a measure of how closely the line fits the data.

use a linear model to make predictions

Once we determine that a set of data is linear using the correlation coefficient, we can use the regression line to make predictions. As we learned previously, a regression line is a line that is closest to the data in the scatter plot, which means that only one such line is a best fit for the data.

key concepts

1. Scatter plots show the relationship between two sets of data.

2. Scatter plots may represent linear or non-linear models.

3. The line of best fit may be estimated or calculated using a calculator or statistical software.

4. Interpolation can be used to predict values inside the domain and range of the data, whereas extrapolation can be used to predict values outside the domain and range of the data.

glossary

correlation coefficient

1. a value, r, between –1 and 1 that indicates the degree of linear correlation of variables or how closely a regression line fits a data set.

extrapolation

1. predicting a value outside the domain and range of the data

Step-by-step explanation:

The top-grossing movies last year were Movie A with $700 million, Movie B with $680 million, Movie C with $610

million, and Movie D with $420 million. Suppose we randomly selected 2 of the movies. Fill in all of the means that

are not already provided in the table?

Answers

The maximum and the least grossing movies are the combinations of movies A & B and movies C & D, respectively

How to determine the maximum and the least amounts?

The grossing amounts are given as:

Movie A = $700 millionMovie B = $680 millionMovie C = $610 millionMovie D = $420 million

The selection of two movies could be any of the following selections

Selection = AB, AC, AD, BC, BD, and CD

The gross of each selection is:

AB = $700 million + $680 million = $1.38 billion

AC = $700 million + $610 million = $1.31 billion

AB = $700 million + $420 million = $1.12 billion

BC = $680 million + $610 million = $1.29 billion

BD = $680 million + $420 million = $1.10 billion

CD = $610 million + $420 million = $1.03 billion

In the above computation, the maximum and the least gross amounts are:

AB = $1.38 billion

CD = $1.03 billion

Hence, the maximum and the least grossing movies are the combinations of movies A & B and movies C & D, respectively

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Answer:

mean of A, C = 655

mean of B, C = 645

mean of C, D = 515

Step-by-step explanation:

you just take whatever the 2 numbers are (for A, B, C, D) and find the mean between them both,, also correct on edge

What is another way to write 3x+9y=-8 to get exactly one solution

Answers

Answer:

Step-by-step explanation:

Slope = -0.667/2.000 = -0.333

 x-intercept = 8/3 = 2.66667

 y-intercept = 8/9 = 0.88889

Answer:

Step-by-step explanation:

What is the volume of this figure? Enter your answer in the box. ft³

Answers

The large box would be 7x5x2=70 smaller one 1x1x5=5. 70+5=75!

75

Rate brainliest!!

Answer:

75 ft³ for K12

Reflect the shape A in the line y=-1

What are the coordinates of the vertices of the image?
random please answer
i am time limited
whoever answers correctly will be awarded brainliest

Answers

Answer:

(3,-3) (5,-3) (3,-6)

Step-by-step explanation:

y=-1 is now a horizontal line passing through the point (0,-1)

I hope this helps!!

Solve the equation and enter the value of x below.
6x + 7 = 43
X =

Answers

6x + 7 = 43

6x + 7 - 7 = 43 - 7

6x = 36

x = 36/6

x = 6

check

6 * 6 + 7 = 36 + 7 = 43

Answer:

x=6

Step-by-step explanation:

6x+7=43

6x=43-7

6x=36

6x/6=36/6

x=6

hope dis helps!!!!!

The blue dot is at what value on the number line?

Answers

Answer:

17

Step-by-step explanation:

Which of the following quadratics will have a maximum value at x = 3?
(1) y = x² - 6x +19
(3) y=-2x² + 20x - 49
(2) y=-4x² +24x-21
(4) y = 2x² – 3x+7

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{y = x^2 - 6x + 19}\\\mathsf{y = 6^2 - 6(3) + 19}\\\mathsf{y = 36 - 18 + 19}\\\mathsf{y = 18 + 19}\\\mathsf{y = 37}[/tex]

~~~~~~~~~~~~~~~~~

[tex]\mathsf{y = -2x^2 + 20x - 49}\\\mathsf{y = -2(3)^2 + 20(3) - 49}\\\mathsf{y = -2(9) + 60 - 49}\\\mathsf{y = -18 + 60 - 49}\\\mathsf{y = 42 - 49}\\\mathsf{y = -7}[/tex]

~~~~~~~~~~~~~~~~~~~~~

[tex]\mathsf{y = -4x^2 + 24x - 21}\\\mathsf{y = -4(3)^2 + 24(3) - 21}\\\mathsf{y = -4(9) + 72 - 21}\\\mathsf{y = -36 + 72 - 21}\\\mathsf{y = 36 - 21}\\\mathsf{y = 15}[/tex]

~~~~~~~~~~~~~~~~~~~~~

[tex]\mathsf{y = 2x^2 - 3x + 7}\\\mathsf{y = 2(3)^2 - 3(3) + 7}\\\mathsf{y = 2(9) - 9 + 7}\\\mathsf{y = 18 - 9 + 7}\\\mathsf{y = 9 + 7}\\\mathsf{y = 16}[/tex]

~~~~~~~~~~~~~~~~~~~~

[tex]\large\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Ben began peeling a pile of 64 potatoes

at the rate of 2 potatoes per minute. Five

minutes later Tom joined him and

peeled at the rate of 4 potatoes per

minute. When they finished, how many

potatoes had Tom peeled?

Answers

The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Let t represent the time after Tom joined.

number of potatoes peeled by Ben = 2(5 minutes) + 2t = 2t + 10

number of potatoes peeled by Tom = 4t

Since they are 64 potatoes, hence:

2t + 10 + 4t = 64

t = 9 minutes

number of potatoes peeled by Tom = 4(9) = 36 potatoes

The number of potatoes peeled by Tom was 36 potatoes after peeling a pile of 64 potatoes

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(2x-7)-(4x^2+6x-3)+(x^2+4)

Answers

Answer:

[tex]-3x^2-4x[/tex]

Step-by-step explanation:

Simplify:

[tex]\left(2x-7\right)-\left(4x^2+6x-3\right)+\left(x^2+4\right)[/tex]

[tex]=2x-7-\left(4x^2+6x-3\right)+x^2+4[/tex]

Group same factor:

[tex]=-\left(4x^2+6x-3\right)+x^2+2x-7+4[/tex]

Add :

[tex]=-\left(4x^2+6x-3\right)+x^2+2x-3[/tex]

Apply the distributive law: -(a+b) = -a - b

[tex]-\left(4x^2+6x-3\right)=-4x^2-6x+3[/tex]

[tex]=-4x^2-6x+3+x^2+2x-3[/tex]

Group same factor:

[tex]=-4x^2+x^2-6x+2x+3-3[/tex]

Subtract:

[tex]=-4x^2+x^2-6x+2x[/tex]

Add:

[tex]=-3x^2-6x+2x[/tex]

Group same factor:

[tex]=-3x^2-4x[/tex]

Hence answer = [tex]-3x^2-4x[/tex]

~lenvy~

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