Use the given confidence interval to find the margin of error and the sample mean
(12.7, 19.5)

Answers

Answer 1

The margin of error and the sample mean of the confidence interval are given as follows:

Margin of error: 3.4.Sample mean: 16.1.

How to obtain the margin of error and the sample mean of the confidence interval?

The confidence interval is defined as follows:

(12.7, 19.5).

The definition of a confidence interval is that it is obtained as the sample mean plus/minus the margin of error.

Hence the sample mean is calculated as the mean of the bounds of the interval, hence:

(12.7 + 19.5)/2 = 16.1.

The margin of error is calculated as the absolute value of the difference of each bound from the sample mean, hence:

|19.5 - 16.1| = |12.7 - 16.1| = 3.4.

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Related Questions

How does Earth's rotation cause day and night ?

Answers

Earth's rotation is what causes day and night. As Earth rotates on its axis, half of the planet is facing the Sun, while the other half is facing away from the Sun.

The half of the planet facing the Sun experiences daylight, while the half facing away from the Sun experiences darkness. This cycle repeats itself every 24 hours, resulting in the day and night cycle that we experience.

Earth's rotation causes day and night by rotating on its axis, with half of the planet facing the Sun and the other half facing away from the Sun. This cycle of daylight and darkness lasts for  creating the day and night cycle that we observe.Earth's rotation is what causes day and night. As Earth rotates on its axis, half of the planet is facing the Sun, while the other half is facing away from the Sun.

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LIVE
A gym charges a one-time fee of $60 to join and membership dues of $25 per month.
Part A
Complete the table to show how the total cost in dollars, C, and the number of months, m, of gym
membership are related. Drag numbers to complete the table. Numbers may be used once or not at all.
200
865
410
205
135
75
505
260
m
3
8
14
с
OLIVE
Part B
Which equation represents the total cost based on the number of months of gym membership?
o
A C = 25m
O
B. C = 60 + 25m
C. C = 60m + 25
O D. C = 25m - 60

Answers

Answer:

I uploaded the answer to^{}

a file hosting. Here's link:" i don't believe them but try to see it

Answer:

SS

Step-by-step explanation:

Ju

9. In Figura 3, triunghiul MNP este dreptunghic,
M
(N = 90°, NAIMP și A E MP.
a) Care este proiecția punctului N pe ipotenuză?
b) Care este proiecția punctului N pe cateta care trece prin
vârful P?
c) Precizează proiecţiile catetelor pe ipotenuză.
.

Answers

Answer:

Its b

Step-by-step explanation:

What is the name of the point where the two axes cross?

Answers

As per the concept of graph, the name of the point where the two axes cross is origin.

Graph in math is defined as a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

Here we have to identify the name of the point where the two axes cross.

As we all know that the horizontal axis in the coordinate plane is called the x-axis and the vertical axis is called the y-axis.

Here we have also know that the point at which the two axes intersect is called the origin.

Where the origin is at 0 on the x-axis and 0 on the y-axis.

And these intersecting x- and y-axes divide the coordinate plane into four sections

Finally all these four sections are called quadrants.

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4. Xin is getting an estimate from a printer for fliers for the drama club. Xin

orders color prints and negotiates a 10% discount on the print job for

the drama club. If f represents the number of fliers Xin orders, does

0. 10(17. 50 +0. 20f) represent the total cost of the print job? Why or why not?

Setup

Black & white print

Color print

$17. 50

$0. 09 each

$0. 20 each

Answers

yes, this 10(17. 50 +0. 20f) represent the total cost of the print job. This can be solved by using the concept of expression.

What is an expression?

A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.

There are three different expression types:

There is just one arithmetic value that an arithmetic expression may produce.A character expression evaluates to just one character value.One logical value is produced by the evaluation of a logical or relational statement.

Given that,

10% discount on the print job

thus, 10% = 0.10.

Therefore, once he pays the $17.80 setup fee and then 0.20f (or $0.20 per flyer), then we would multiply by 10% (Or 0.10).

so, we get: 0.10 × (17.50 + 0.20f)

Yes,  0.10 × ( 17.50 + 0.20f ) does represent the total cost of the print job.

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You have two numbers. If you double the first number and add it to the second number, the sum is 10. An equation to represent this situation could be: 2x + y = 10 1) Plot at least five points on this coordinate plane that make the statement and your equation true. What do you notice about the points you have plotted? 2) Using a different color, plot 3 point in the same coordinate plane that do not make the equation true.

Answers

Answer:

(a) See attachment 1

All points lie on the same line

(b) See attachment 2

Step-by-step explanation:

Given

[tex]2x + y = 10[/tex]

Solving (a): Plot 5 points that make the equation, true

First, we calculate the points

Make y the subject

[tex]y = 10 - 2x[/tex]

[tex]x = 0 \to y = 10 - 2* 0 = 10[/tex]

[tex]x = 1 \to y = 10 - 2* 1 = 8[/tex]

[tex]x = 2 \to y = 10 - 2* 2 = 6[/tex]

[tex]x = 3 \to y = 10 - 2* 3 = 4[/tex]

[tex]x = 4 \to y = 10 - 2* 4 = 2[/tex]

So, we will plot the following points

[tex](0,10)\ (1,8)\ (2,6)\ (3,4)\ (4,2)[/tex]

See attachment 1

Notice that all points lie on the same line

Solving (b):

Point (5,7) does not make the equation true, and that is why it lies outside the line

See attachment 2

Pythagorean theorem and its converse
problem 3:

leg:16

leg:x

hypo:27

problem 4:

leg:12.8

leg:5.3

hypo:x

problem 5

18 <--------->

`20

x'

Answers

The missing measures, using the Pythagorean Theorem, are given as follows:

3. Leg x = 21.75.

4. Hypotenuse x = 13.85.

What is the Pythagorean Theorem?

The Pythagorean Theorem states that length of the hypotenuse squared is equals to the sum of each of the sides of the triangle squared.

For item 3, we have that the leg x is missing, while another leg and the hypotenuse are given, meaning that the relation is of:

x² + 16² = 27²

Hence:

x² = 27² - 16²

[tex]x = \sqrt{27^2 - 16^2}[/tex]

x = 21.75.

For item 4, we are given two legs and want to find the hypotenuse, hence the relation is given as follows:

x² = 12.8² + 5.3²

[tex]x = \sqrt{12.8^2 + 5.3^2}[/tex]

x = 13.85.

As for item 5, there is not enough information to answer, but the procedure should be the same.

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a fish tank is in the shape of an open glass cuboid 30cm deep with a base 16cm by 17cm, these measurements being external. if the glass is 0.5cm thick and its mass is 3g/cm cube. find the capacity of the tank in litres​

Answers

The capacity of the tank in open glass cuboid is determined as 7.2 Liters.

Capacity of the  tank

The capacity of the tank is calculated as follows;

Volume = base area x height

Base area = Length x Width

Base area = [17 cm - 2(0.5cm)] x [16 cm - 2(0.5cm)]

Base area = 16 cm x 15 cm

Base area = 240 cm²

Volume = 240 cm²  x  30 cm

Volume = 7,200 cm³

Volume = 7.2 Liters

Thus, the capacity of the tank in open glass cuboid is determined as 7.2 Liters.

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Me pueden ayudar? :)

Answers

.Answer:

Step-by-step explanation:

18=0. 125. Which calculation is NOT a way to find 58?

CLEAR CHECK


A. 5÷8


B. 5⋅0. 125


C. 0. 5+0. 125


D. 1−0. 125

Answers

The correct option is D. 1 − 0. 125 is NOT  the correct way to find the value of fraction 5/8.

Explain the term fraction?a numerical expression in which the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator as well as denominator of a complex fraction. The numerator of a proper fraction is less than every denominator.

Consider the given options;

A. 5÷8

5÷8 = 5/8 (correct)

B. 5⋅0. 125

5*0.125 = 0.625

5*0.125 = 5/8 (correct)

C. 0. 5+0. 125

5+0. 125 = 0.625

5+0. 125 = 5/8 (correct)

D. 1−0. 125

1−0. 125 = 0.785

1−0. 125 = 7/8 (not correct)

Thus, option D is not the correct way to solve the equation.

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The correct question is attached.

A side of the triangle below has been extended to form an exterior angle of 62°. Find the value of xx.

Answers

Answer:

Photo?

Step-by-step explanation:

If there is a photo linked I dont see it

Also: Dont click the stpid link below its malware

Write the following using index notation:

2 x 2 x 2

b) 3x3

3 x 3

c)

6 x 6 x 6 x 8 x 8 x 8

d)

3 * 4 * 3 x 4 * 3

Answers

Index notations are as follows:

a) 2³

b) 3²

c) 6³ * 8³

d) 3³ * 4²

What are Exponents?

A number's exponent demonstrates how many times we are multiplying a given number by itself. 3^4, for instance, indicates that we are multiplying 3 by four. 3*3*3*3 is its expanded form. The power of a number is another name for an exponent. A whole number, fraction, negative number, or decimal are all acceptable.

Let's break down the given index notation one by one:

a) 2 is taken 3 times = 2³

Similarly,

b) 3²

c) 6³ * 8³

d) 3³ * 4²

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describe the relationship between the two quantities in the graph.

Answers

As time goes by the population increases

Pablo poured about 10 ? of medicine onto a spoon.

A) millimeters

B)liters

Answers

Answer:

A

Step-by-step explanation:

10 liters won't fit on a spoon

Find the volume of the pyramid.
7 m
12 m
The volume is
16 m
cubic meters.

Answers

The value of volume of pyramids is 448 cubic meter.

How to calculate volume of pyramid?

A triangular pyramid's volume can be calculated using the formula Volume= 1/3 Base area Height. The side, height, and slant height of a triangular pyramid are the three parameters needed to calculate its surface area.

The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape. The calculation is unaffected by how you refer to the various dimensions; for instance, you can use "depth" instead of "height."

Given,

Length=12m

Width=7m

height=16m

volume =l * w * h / 3

= 12*7*16/3

= 448 cubic meter

Therefore volume of pyramid is 448 cubic meter .

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simpelest form of the ratio 2 weeks to 30 days

Answers

Answer:

7:15 ,2 weeks=14 days and 30 days divide by 2 = 7 and 15 put them to a ratio and you'll get 7:15.

HELP!!! there are 20 students in Mr. Miller's algebra class. 14 of the students are females. If Mr. miller selects a student at random, what is the probability that he will select a male.

Answers

Answer:

6/20, 0.3, 30%

Step-by-step explanation:

If there are 14 females then there are 6 males

6 divided by 20 is 0.3 or 30%

Answer:

30%

Step-by-step explanation:

An amusement park has a two merry-go-rounds. The first merry-go-round has a circular platform with a diameter of 13 meters. The second merry-go-round has a circular platform with a diameter of 19 meters. What is the difference between the areas of the larger and smaller merry-go-round’s platform?

Answers

Answer:

150.72

Step-by-step explanation:

Area of circle formula is r²π

Do find radius you do d/2, diameter/2. 13/2= 6.5

6.5 * 6.5 = 42.25

π  is also known as 3.14

42.25 * 3.14 = 132.665

That is the area of the smaller one.

For the larger one, 19/2 = 9.5

9.5 * 9.5 = 90.25

90.25 * 3.14= 283.385

Now you subtract both of them and the difference is 150.72.

Hope this helps !!

-Ketifa

Answer

150.72 m2

Step-by-step explanation:

Find the radius of the larger

merry-go-round.

19^2 = 9.5

Substitute 9.5 for r in the formula for the

area of a circle.

A-n • 9.52

= 71 -90.25

- 283.385

Find the radius of the smaller

merry-go-round.

13-^-2-6.5

Substitute 6.5 for r in the formula for the

area of a circle.

A~n • 6.52

= n - 42.25

-132.665

Subtract the area of the smaller merry go-round from the area of the larger

merry-go-round.

283.385 - 132.665 = 150.72

-(4-7)
How do you do this?

I got -4+7
(Is that right)​

Answers

a double negative will result in a positive so
-(4-7)
= -4+7
=3
The mathematical expression you provided -4 + 7 is correct.
The result of the operation is 3.
You are adding 7 to -4, so you would start with -4 and count up 7 steps which gives you 3 as a result.
In mathematical notation, the plus sign (+) indicates addition and the minus sign (-) indicate subtraction. In this case you have -4+7 so it's -4 plus 7.

c) Mr. Gurung had Rs 3300. He purchased 5 kg of rice at Rs 70 per kg, 2 packets of oil at Rs 125 per packet and he gave Rs 2500 to his wife. If he divided the remaining sum between his son and daughter equally, find the share of each of them. ​

Answers

Answer:

Intial money=Rs 3300

final money=3300-(70×5)-(2×125)-2500

=3300-350-250-2500

=3300-3100=RS 200

Now,

share of each of them= 200/2=Rs100

*mark me brainliest

By choosing an appropriate line, use the
diagram to estimate the solutions to these
simultaneous equations:
2
y = -x +1.5
y = 1.5x2.5

Answers

So on solving the provided question, here  we can say that by is a simultaneous equations the value of x = - 3/5 and y = 9/10

What is the simultaneous equation formula?

Multiple algebraic equations that have the same unknowna as the give in the  variables and the same answer are referred to as simultaneous equations. This suggests that there is a single solution to the simultaneous equations. Examples of simultaneous equations include: 2x - 4y = 4, 5x + 8y = 3, and others. This implies that the simultaneous equations have a single solution. The simultaneous equations 2x - 4y = 4, 5x + 8y = 3, and others are examples.

y = -x + 1.5

y = 1.5x + 2.5

x = -3/5

y = 9/10

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If 2x − 1 ≤ f(x) ≤ x2 − 2x + 3 for x ≥ 0, find lim x→2 f(x).

Answers

The limit as x approaches 2 or lim x→2  is 4.

When calculating a limit, the goal is to find the value of the function as x approaches the given value. In this case, the given value is 2. As x approaches 2, the values of the function will approach 4, which is the upper bound of the given inequality. This means that the limit as x approaches 2 is 4.

To prove this, we can look at the inequality and find the values of the function at x = 1 and x = 3. For x = 1, the function value is -1, which is less than 4. For x = 3, the function value is 7, which is greater than 4. This means that the function values are increasing as x gets closer to 2, so the limit as x approaches 2 is 4.

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plz help 20 points math​

Answers

Answer: -4/-6

Step-by-step explanation:

Where is graph increasing and decreasing?

Answers

The graph is increasing when the graph has positive slope and the graph is decreasing when the graph have a negative slope .

What is Slope ?

The slope of any line can be calculated by using any two distinct points on the line. The slope of a line formula calculates the ratio of the vertical change to horizontal change between two distinct points of the line.

that means , let the two points on the line be [tex](a,b)[/tex] , [tex](c,d)[/tex] . So , the slope will be calculated as : Slope(m) = [tex]\frac{d-b}{c-a}[/tex] .

(i) When the slope of the graph is positive , it indicates that the graph rises when moving from left to right , Hence , the graph is increasing .

(ii) When the slope of the graph is negative , it indicates that the graph falls when moving from left to right , Hence , the graph is decreasing .

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What is the volume of the rectangular prism?

Answers

^answer:^

~10 cubic feet~

^step by step explanation:^

first, calculate the volume of the front “panel” of the shape. (5 cubic centimeters because 5 times 3 is 15 and 15 times 1/3 is 5. 5 times 2 is 10.


The answer i’m on a timer

Answers

Answer:

D. Down 5, Left 2

Step-by-step explanation:

-5 on the outside means it will go down 5.

+2 directly grouped with the variable means it will do the opposite, so it goes left 2.

Evaluate the expression of x = 6 3x+5

Answers

Answer: the explanation ain't in a file smh its 23

Step-by-step explanation: 3x6+5=23[][][][]brainliest?

You have 140 tomatoes and 13 onions left over from your garden. You want to use these
to make jars of tomato sauce and jars of salsa to sell at a farm stand. A jar of tomato
sauce requires 10 tomatoes and 1 onion, and a jar of salsa requires 5 tomatoes and 1
onion. You will make a profit of $2 on every jar of tomato sauce and a profit of $1.50 on
every jar of salsa sold. The owner of the farm wants at least three times as many jars of
tomato sauce as jars of salsa. How many jars of each should you make to maximize
profit?
3. A company produces two types of tables, T1 and T2. It takes 2 hours to produce the parts
of one unit of T1, 1 hour to assemble and 2 hours to polish. It takes 4 hours to produce
the parts of one unit of T2, 2.5 hour to assemble and 1.5 hours to polish. Per month, 7000
hours are available for producing the parts, 4000 hours for assembling the parts and 5500
hours for polishing the tables. The profit per unit of T1 is $90 and per unit of T2 is $110.
How many of each type of tables should be produced in order to maximize the total
monthly profit?

Answers

1. To maximize the profit :

28 jars of salsa and

0 jars of tomato sauce should be made.

which  make maximum profit of $42.

2.  In order to maximize the total monthly profit

2300 units of T₁ type table and and

600 units of T₂ type table should be made

which provide maximum profit of $273000.

What is an Inequality?

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities.

1. Let x be the numbers of jars of tomato sauce

Let y be the number of jars of salsa sauce

Profit P(x, y)=2x+1.5y

x≥0

y≥0

10x+5y≤140

x + y ≤13

​The solution set of the system of inequalities above the vertices of the feasible solution set obtained are shown below.

A at (0,13)

B at (0,28)

C at (14,0)

D at (15,0)

E at (15, -2)

Evaluate profit P(x, y) at each vertex

A at (0,13):P(0,13)=$19.5

B at (0,28):P(0,28)=$42

C at (14,0):P(14,0)=$28

D at (15,0):P(15,0)=$30

E at (15, -2):P(15,-2)=30-3=$27

The maximum profit of $42 is at vertex B.

Which means production of 28 jars of salsa and 0 jars of tomato sauce provides maximum profit of $42.

2. Let x be the number of tables of type T₁

​and y the number of tables of type T₂

​Profit P(x, y)=90x+110y

x≥0

y≥0

2x+4y≤7000

x+2.5y≤4000

2x+1,5y≤5500

​The solution set of the system of inequalities above the vertices of the feasible solution set obtained are shown below.

A at (0,0)

B at (0,1600)

C at (1500,1000)

D at (2300,600)

E at (2750,0)

Evaluate profit P(x, y) at each vertex

A at (0,0):P(0,0)=0

B at (0.1600):P(0,1600)=90(0)+110(1600)=176000

C at (1500,1000):P(1500,1000)=90(2500)+110(1000)=245000

D at (2300,600):P(2300,600)=90(2300)+110(600)=273000

E at (2750,0):P(2750,0)=90(2750)+110(0)=247500

The maximum profit of $273000 is at vertex D.

which means production of 2300 tables of type T₁ and 600 tables of type T₂ makes maximum  profit.

1. Hence, maximum profit is made by making

28 jars of salsa and

0 jars of tomato sauce getting

$42 of profit.

2. Hence the company needs to produce

2300 tables of type T₁ and

600 tables of type T₂,

in order to maximize its monthly profit which is equal to $273000.

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Place from least to greatest:
0.66, 0.654, 0.7, 0.64

Answers

Least to greatest: 0.64, 0.654, 0.66, 0.7

Answer:

1. 0.64

2. 0.654

3. 0.66

4. 0.7

A bag contains:
1 red beads
2 yellow beads
2 green beads
1 blue bead

A bead is chosen at random.

What is the probability that it is green?

What is the probability that it is green or yellow?

Pls pls help!
I'll give you brainliest answer!
Thx!​

Answers

The probability to draw a green bead is 1/3 and the probability to draw a green or yellow bead is 2/3

It is given that the bag contains 1 red bead, 2 yellow beads, 2 green beads, and 1 blue bead.

Hence the total no. of beads in the bag = no. of red + yellow + green + blue beads

= 1 + 2 + 2 + 1 beads

= 6 beads.

Let the event to draw a green bead be A

Let the event to draw a yellow bead be B

Probability of any event = no. of outcomes favorable to that event/ total number of outcomes

Hence P(A) = no. of green beads/ total no. of beads

= 2/6

= 1/3

Hence the probability that a green bead is drawn is 1/3

P(B) = no. of yellow beads/ total no. of beads

2/6 = 1/3

We need to find P(A or B)

= P(A U B) = P(A) + P(B) - P(A ∩ B)

P(A ∩ B) = P(A and B)

Since no bead is of 2 colors, P(A ∩ B) = 0

Hence we get

P(A U B) = 1/3 + 1/3

= 2/3

Hence the probability to draw a green or yellow bead is 2/3

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