You measure 47 backpacks' weights, and find they have a mean weight of 79 ounces. Assume the population standard deviation is 13.1 ounces. Based on this, what is the maximal margin of error associated with a 90% confidence interval for the true population mean backpack weight.

Give your answer as a decimal, to two places

Answers

Answer 1

Answer:

3.14

Step-by-step explanation:

Given that:

Mean weight (m) = 79 ounces

Population standard deviation (s) = 13.1

Sample size = 47

Maximal margin of error associated with 90% confidence interval.

The margin of error is given by:

Zcritical * (standard deviation / sqrt(sample size)

Z critical at 90% confidence interval = 1.645

Hence,

Zcritical * (standard deviation / sqrt(sample size)

1.645 * 13.1 / sqrt(47)

1.645 * (13.1 / 6.8556546)

1.645 * 1.9108313

Hence, the margin of error is :

3.1433174885

= 3.14


Related Questions

a bouquet has 10 flowers.among them,3 are red. at the same ratio, how many red flowers are needed to prepare two bouquets

Answers

Answer:

in one bouquet there are 3 red so in two bouquets there must be 6

A rectangular room is 15 ft long and 10 ft wide. A scale drawing of the room had a width of 5 inches.What is the length of the room in the drawing?​

Answers

Answer:

7.5 inches

Step-by-step explanation:

15 ft long and 10 ft wide becomes 3/2 when converted into a ratio

we now have 3/2 and five inches

3 is 1.5*2

5*1.5 is 7.5

Answer:

7.5in

Step-by-step explanation:

If the original room's dimensions are (15ft x 10ft). Then the new scaled-down version is (?ft x 5in) we can set up a ratio of 10/5 = 2 to find that the scale from the room to the drawing is being shrunk by a factor of 2. So if you take 15/2 you will get your final answer of the new length of 7.5in!

what does a sqiggley equal sign mean.

Answers

Answer:

Approximately ≈

Step-by-step explanation:

Answer:

approximately equal to
or
Approximate equality

Is this true
4. When you subtract two numbers, if you reduce the first number in the subtraction by one, the result is one less. For example, 12 – 4 is 8 and 11 – 4 is 7

Answers

Answer:

The answer is True

Step-by-step explanation:

In the substraction, if you reduce or increase the substrahend by a number, the result is the same number less or more

The owners of an apartment building bought it new and then 5 years later sold it for $165000. They calculated that the building appreciated $2000 per year
while they owned it.
ind a linear function that describes the value of the building over time, if a is the age of the apartment building.

Answers

f(a)= 2000a +155000 is a linear function that describes the value of the building over time, if a is the age of the apartment building

The owners of an apartment building bought it new and then 5 years later sold it for $165000. They calculated that the building appreciated $2000 per year while they owned it.

we have to find  a linear function that describes the value of the building over time, if a is the age of the apartment building

write a linear function is in slope-intercept form:

y= mx+b

Here, x is the independent variable, and y is the dependent variable. Also, the slope of the line, m, represents some kind of constant rate. Finally, b, the y-intercept represents some sort of starting value for our dependent variable.

165000= $2000*5+b

$165000= $10000+b

$155000=b

f(a)=2000a+155000

therefore f(a)= 2000a +155000 is a linear function that describes the value of the building over time, if a is the age of the apartment building

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Help please it’s geometry

Answers

Answer:

RA = RB because the base angels of isosceles are equal and their measurement are equal too

Step-by-step explanation:

angle RAB=180(sum of angels of a triangle)

180/2=90

90/3=30

Angle R= 90

Angle A=30

Angle B= 30

So,It is proved that RA=RB

I tried my best to answer hope it is accurate.

NEED HELP ASAP
Which ordered pairs are solutions to the system of inequalities?

{x−3y≥1
{2x+y≤4

Select each correct answer.


(0, 3)

(−1, 1)

(3, −2)

(4, 0)

(2, 3)

(1, −1)

Answers

I bet it is the only thing that you can get

BEST ANSWER GETS BRAINLIEST PLEASE HELP FAST [35 POINTS]


The vertices of Figure A are located at (-9,4), (-3,6), (-2,3) and (-8,1) on a coordinate plane. Figure A is transformed to Figure B by rotating the figure 90º clockwise about the origin, translating it 8 units left and 4 units down, and then dilating from the origin by a scale factor of 2. Which ordered pair will be a vertex in Figure B?

A. (-8,10)

B. (−2, 5/2)

C. (-9/2 −6)

D. (-22,-12)

Answers

Answer:

a

Step-by-step explanation:

A. (-8,10) is the answer.

ASAP, yk the pain too, help me out!!! begging
2x+p/q=2x+q/p, p DOESNt equal to 0, q doesn’t equal to 0

Answer: If p=q, ______. If p doesn’t equal q, _______.

Answers

The equation, [tex] \frac{2 \cdot x + p}{q} = \frac{2 \cdot x + q}{p} [/tex], gives;

When p = q, the number of solutions is infinite.

When p ≠ q, the equation has no solution

How can the given equation be evaluated?

The given equation is presented as follows;

[tex] \frac{2 \cdot x + p}{q} = \frac{2 \cdot x + q}{p} [/tex]

If p = q, we have;

[tex] \frac{2 \cdot x + q}{q} = \frac{2 \cdot x + q}{q} [/tex]

[tex] \frac{2 \cdot x + p}{p} = \frac{2 \cdot x + p}{p} [/tex]

Therefore, the equation has an infinite number of solutions when p = Q

If p ≠ q, and x = 3, we have;

[tex] \frac{2 \cdot x + p}{q} = \frac{2 \times 3 + p}{q} = \frac{6 + p}{q} [/tex]

[tex] \frac{2 \cdot x + q}{p} = \frac{6 + q}{p} [/tex]

[tex] \frac{6 + p}{q} [/tex] = \frac{6 + q}{p} [/tex]

6•p + p² = 6•q + q²

However;

p ≠ q

Therefore;

6•p ≠ 6•q

p² ≠ q²

6•p + p² ≠ 6•q + q²

Which gives;

[tex] \frac{6 + p}{q} \neq \frac{6 + q}{p} [/tex]

The equation is not defined when p ≠ q

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Find a solution to the linear equation 13x +y =26 by filling in the bows with a valid value of x and y.

Answers

The solution to the linear equation are x = 2 - y/13 and y = 26 - 13x.

It is required to find the solution to the linear equation.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

The equation is

13x + y = 26

We have to find the value of x and y .

According to given question we have

13x + y = 26

Subtract 13x from both sides we get,

y = 26 - 13x

Subtract y from both sides

13x = 26 - y

Divide through by 13

x = 2 - y/13

Therefore, the solution to the linear equation are x = 2 - y/13 and y = 26 - 13x.

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Please help me solve this problems.

Answers

Answer:

[tex] \sqrt{54 {x}^{5}yw {}^{8} } \\ \sqrt{7 \times 8 {x}^{5}yw {}^{8} } \\ = 2x {}^{2} {w}^{4} \sqrt{14xy} [/tex]

There is app free they can also help you if you want it I can give to you

Eighty meters of fencing is available to enclose the rectangular garden of Mang
Gustin. Give a function A that can represent the area that can be enclosed in
terms of x.

Answers

A function that can represent the area that can be enclosed in terms of x is 40x-x².

Given that Eighty meters of fencing is available to enclose the rectangular garden of Mang Gustin.

Area is defined as the amount of space that can be used within a flat surface or the surface of a solid. Perimeter is defined as a continuous line that forms a boundary to define a two-dimensional shape.

Let the length of garden, l=x

and the given perimeter, p=80

As we know, perimeter of rectangle is P=2(l+b).

Now, we will substitute the values and find the value of b, we get

80=2(x+b)

Now, we will divide both sides by 2, we get

80/2=2(x+b)/2

40=x+b

Further, subtract x from both sides, we get

40-x=x+b-x

40-x=b

Now, we will find the area of rectangle by using the formula A=lb.

Substitute the values in above formula, we get

A=x(40-x)

A=40x-x²

Hence, the area that can be enclosed in terms of x is 40x-x².

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.............................

Answers

Answer: yes i get it

Step-by-step explanation:

Between what two integers does square root of -19 lies

Answers

Answer:

4 and 5

Step-by-step explanation:

4^2=4xx4=16,

5^2=5xx5=25, and 19 is between those two squares

Will give Brainliest!

Alejandro can wash 4 cars in an hour.

How much time would it take Alejandro to wash: 8 cars? 20 cars?

There are 2 variables. Name each one with a letter.

# of hours he washes cars:

# of cars he washes:

Represent this situation as an equation with the 2 variables:

Answers

Answer: Alejandro will wash 8 cars in 2 hours and 20 cars in 5 hours

Step-by-step explanation:You would just need to divide 4 by 8 and 20.8 divided by 4 is 2 and 20 divided by 4 is 5

The graph of f(x) is shown.

On a coordinate plane, a parabola opens up. It goes through (negative 1.75, 4), has a vertex of (negative 0.25, negative 3), and goes through (1.4, 4). Solid circles appear on the parabola at (negative 1.6, 3.1), (negative 1.2, 0), (negative 0.25, negative 3), (0.8, 0), (1.2, 3.1).
Over which interval on the x-axis is there a negative rate of change in the function?

–2 to –1
–1.5 to 0.5
0 to 1
0.5 to 1.5

Answers

Answer:

The answer is A. –2 to –1

Step-by-step explanation:

Answer: A on edge

Step-by-step explanation:

A spinner has 6 equal sized slices numbered from 1 to 6. Some are grey and some are white, as shown below.

Answer the following questions, write each answer as a fraction.

The wheel will be spun and will stop on a slice at random.

a) what is the probability that the wheel stops on number 2?

b) what is the probability that the wheel stops on number 2, given that the wheel stops on a white slice?

Answers

a. 1/6
b. 1/3

There’s 6 slices altogether, so the probability of it landing on 2 is 1/6
There’s 3 white slices, so the probability of it landing on 2 if it only lands on a white slice is 1/3

-2x-y=1 in slope intercept form

Answers

-2x-y=1
Move the variable to the right
-y=1+2x
Change the signs
y=-1-2x
Reorder the terms
Solution
y=-2x-1

Hope this helps

he definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?

Answers

The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point. What characteristics of these geometric figures create the different requirements? Parallel lines never intersect, but they must be in the same plane.

Answer:

Parallel lines never intersect, but they must be in the same plane. The definition does not require the undefined term point, but it does require plane. Because they intersect, perpendicular lines must be coplanar; consequently, plane is not required in the definition.

Step-by-step explanation:

Write the slope-intercept equation of the function f whose graph satisfies the given conditions.
The graph of f passes through (-9,-8) and is perpendicular to the line whose equation is x = 8.
The equation of the function is

Answers

Answer:

y = -8

Step-by-step explanation:

line x = 8 is a vertical line so the line perpendicular has slope of 0

Using m = 0, x = -9, y = -8

y = mx + b

-8 = 0(-9) + b

b = -8

so y = -8

Step-by-step explanation:

y = 8, the one above is correct, we both are.

What is the value of 8 in each number? 389

Answers

Answer:80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

its just 80

:
Uncle Choo sold 580 reams of printing paper in January and 755
reams of printing paper in February.
He sold 2100 reams of printing paper from January to March.
How many reams of printing paper did he sell in March?

Answers

Step-by-step explanation:

2100-(580+755)

2100-1335

=835

Answer=

January=580

February=755

January+February=

580+755=1335

March=2100-1335

=765

so March is 765 reams

January+February+March

580+755+765=2100reams

Solve the Question Provided by the picture.

(Im trying to correct my answer)​

Answers

Ø is the answer. Statement is false for any value of n

write an equation in slope-intercept form of the line that bisects the angle formed by ED and EF.​

Answers

Answer:

ok

Step-by-step explanation:

the answer is (2,4)

mark as brainlist

Use the formula for the area of a trapezoid A = h (bi+b²), 2 where A is area, b₁ and b₂ are the length of the bases, and h is the height, to answer the question. How many square feet of grass are there on a trapezoidal field with a height of 75 ft and bases of 125 ft and 81 ft?

Answers

Answer:

7725 ft³

===================

Use the given numbers and formula to calculate the area:

[tex]A = h(b_1+b_2)/2[/tex]

[tex]A = 75(125+81)/2=75(206)/2=75(103)=7725[/tex]

Simplify the complex fraction below.

Answers

Answer: 6

:)

___________________________________

Answer:

[tex] \sf \large \: \frac{2}{27} [/tex]

Step-by-step explanation:

Let's solve this equation step by step

2/3/1/9

= 2/3/9/1

= 2/27

If Fran were to paint her living room alone, it would take her 5 hours. Her sister Wanda could do the job in 8 hours. How many hours would it take them working together

Answers

It would take 3.43 hours to paint living room working together.

In this question, we have been given Fran were to paint her living room alone, it would take her 5 hours. Her sister Wanda could do the job in 8 hours.

We need to find the amount of time required them working together.

Let they need 'x' hours to paint living room together.

So, we get an equation,

1/6 + 1/8 = 1/x

We need to find the value of x.

1/x = (8 + 6) / 48

1/x = 14/48

x = 48 / 14

x = 3.43 hours

Therefore, it would take 3.43 hours to paint living room working together.

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A mural measures 145 feet long by 190 feet high. Find the ratio of the height to the perimeter of this mural.

Answers

The ratio of height to perimeter of mural is 19:67.

The perimeter of mural will be calculated by the formula -

Perimeter = 2 × (length + breadth)

So, finding the perimeter using the mentioned formula. Keep the values of length and breadth in formula to calculate the perimeter of mural.

Perimeter = 2 × (145 + 190)

Performing addition of values in bracket

Perimeter = 2 × 335

Performing multiplication

Perimeter = 670 feet

Ratio = Height : Perimeter

Ratio = 190 : 670

Cancelling zero to find the ratio

Ratio = 19 : 67

Hence, the ratio of the height to the perimeter of this mural is 19:67.

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can someone help me with this domain and function question :)

Answers

Answer: (-∞, ∞)

Step-by-step explanation:

|2x+5|+3 can't equal 0. The denominator can't equal 0.

|2x+5|+3[tex]\neq[/tex]0

|2x+5|[tex]\neq[/tex]-3 ==> Absolute value functions can't be negative, so the denominator will never equal 0.

Hence, domain is x equals all real numbers: (-∞, ∞)

Please solve this, thank you

Answers

Answer:

2.62 x 10^16

Step-by-step explanation:

Let look at the numerator:

(3.1 x 10^6)(6.97 x 10^4)

= (3.1 x 6.97) x 10^(6+4)

= 21.607 x 10^10

So  21.607 x 10^10

     _______________

       8.245 x 10^-6

= (21.607/8.245) x 10^(10 - -6)

= 2.62 x 10^(10 + 6)

= 2.62 x 10^16

I hope this helps

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