eighteen years ago a woman's age was 20 years more than thrice her daughter's age. how many years ago was the woman's age thrice that of her daughter?

Answers

Answer 1

Answer: 8 years ago

Step-by-step explanation:

w = woman's age

d = daughter's age

Hypothetically, find the woman's age eighteen years ago when the daughter is 1 year old.

(18 years ago):

w = 20 + 3d

w = 20 +3(1)

w = 23

The woman is 23 years old.

Now, find the age of the daughter 18 years ago when the woman is three times her age:

w + x = 3(d + x)

**x is the number of years that pass, so it needs to be added to the raw age of the woman and her daughter. That's why it's inside the parenthesis.**

w + x (- x) = 3d + 3x (- x)

w = 3d + 2x

(23) = 3(1) + 2x

**Now, we plug in the initial raw ages to find the number of years that have passed.**

20 = 2x

x = 10

18 - (10) = 8 years ago

Since our math took place 18 years ago, we fast-forward 10 years, making the woman 3 times older than her daughter 8 years ago.


Related Questions

help me hurry up 8th grade math

Answers

The standard form of each of the numbers is given as follows:

a) 2.35 x 10^-3 = 0.00235.

b) 2.35 x 10³ = 2350.

What is scientific notation?

A number in scientific notation is given by the notation presented as follows:

[tex]a \times 10^b[/tex]

With the base being [tex]a \in [1, 10)[/tex], meaning that it can assume values from 1 to 10, with an open interval at 10 meaning that for 10 the number is written as 10 = 1 x 10¹, meaning that the base is 1, justifying the open interval at 10.

For item a, to obtain the standard form of the number, we must move the decimal points three places to the left, hence:

2.35 x 10^-3 = 0.00235.

For item b, to obtain the standard form of the number, we must move the decimal points three places to the right, hence:

2.35 x 10³ = 2350.

More can be learned about scientific notation at https://brainly.com/question/5756316

#SPJ1

Simplify the expression

Answers

The simplified expression is (z -3)/z - 5. Option C

How to simply the expression

From the information given, we have to simply the expressions by solving the quadratic equation;

From the information given, we have that;

z² -5zx + 6

Find the pair factors and substitute the values

z² - 2z - 3z + 6

Group in pairs, we have;

z(z - 2) - 3(z - 2)

For the denominator, we have;

z² - 7x + 10

Find the factors

z² - 5z - 2z + 10

Group in pairs, we have;

z(z - 5) - 2(z - 5)

Then, we have the simplified form;

(z -3)/z - 5

Learn more about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

Plot the numbers -1 1/6 and 17/6 on the number line below.

Answers

The number line where we plotted -1 1/6 and 17/6 is added as an attachment

Plotting -1 1/6 and 17/6 on a number line

From the question, we have the following parameters that can be used in our computation:

-1 1/6 and 17/6

To start with, we convert both numbers to the same form

i.e. decimal or fraction

When converted to fractions, we have

-7/6 and 17/6

This means that we can plot -7/6 at -7 and 17/6 at point 17 where the difference in each interval is 1/6

Using the above as a guide, we have the following:

The number line is attached

Read more about number line at

brainly.com/question/24644930

#SPJ1

Divide the following polynomials using the long division model: (4×^4-5×^3+2×^2-X+5) / (x^2+x+1).

Part I: Express this problem using the standard format for a problem of dividend/divisor->
_______
divisor |dividend

Part II: Use this checklist to proceed through this problem:

• How many times does x^2 go into the largest term in the problem?

•write the value on top of the problem and multiply that value by ×^2+×+1

•write the product below the lowest line on your work and subtract if from what reminds in the problem

•continue this process until you fab no longer divide x^2 into what reminds in the problem

•include your remainder in the final answer

Answers

The quotient is [tex]4x^2[/tex] and the remainder is [tex]3x^2 - x + 5[/tex].

What is long division method?

Long division is a mathematical method used to divide one number by another. It is typically used for division of larger numbers, and is taught as a basic arithmetic skill in elementary and middle school.

In long division, the dividend (the number being divided) is written on the top, and the divisor (the number dividing the dividend) is written on the left. The quotient (the answer to the division problem) is written on the top of the line below the dividend, with the remainder (the left-over amount after division) written on the right.

The process involves a series of steps, including dividing, multiplying, and subtracting. The steps are repeated until the dividend is fully divided, or until a specified level of precision is reached.

Long division is also used to divide polynomials, by using the coefficients of the terms in the polynomial instead of the actual numbers. This process is similar to long division of numbers, but involves additional steps to ensure that the division is performed correctly.

Now We want to divide the polynomial [tex]4x^4 - 5x^3 + 2x^2 - x + 5[/tex] by the polynomial [tex]x^2 + x + 1[/tex] using long division.

[tex]x^2 + x + 1 |[/tex] ([tex]4x^4 - 5x^3 + 2x^2 - x + 5[/tex] )

First, we divide the highest degree term of the dividend, [tex]4x^4[/tex], by the highest degree term of the divisor, [tex]x^2[/tex], to get [tex]4x^2[/tex] :

[tex]x^2 + x + 1 | 4x^4 - 5x^3 + 2x^2 - x + 5\\-4x^4 - 4x^3 - 4x^2\\-----------------------------\\x^3 + 2x^2[/tex]

Next, we multiply the divisor,[tex]x^2 + x + 1[/tex], by the quotient, [tex]4x^2[/tex], to get [tex]4x^4 + 4x^3 + 4x^2[/tex], and subtract it from the dividend:

[tex]x^2 + x + 1 | 4x^4 - 5x^3 + 2x^2 - x + 5\\-4x^4 - 4x^3 - 4x^2\\----------\\x^3 + 2x^2\\- 4x^2 - 4x - 4\\-------\\3x^2 - x + 5[/tex]

We now have a new polynomial, 3[tex]x^2 - x + 5[/tex], as the remainder. Since the degree of the remainder is less than the degree of the divisor, the division process is complete.

Therefore, the quotient is [tex]4x^2[/tex] and the remainder is [tex]3x^2 - x + 5[/tex]. We can write the original polynomial as:

[tex]4x^4 - 5x^3 + 2x^2 - x + 5 = (x^2 + x + 1)(4x^2) + (3x^2 - x + 5)[/tex]

To know more about division visit:

https://brainly.com/question/4869318

#SPJ1

Help me please I need help

Answers

Answer:

(2,5] or (7,∞)

Step-by-step explanation:

I need help understanding how to solve this.

Answers

Answer:

The common ratio of this geometric sequence is -1/2, so we have

a(7) = 16 × -1/2 = -8, a(8) = -8 × -1/2 = 4.

Dividing by -1/2 is the same as multiplying by -2. Working backwards, we have:

a(5) = -2 × 16 = -32

a(4) = -2 × -32 = 64

a(3) = -2 × 64 = -128

a(2) = -2 × -128 = 256

a(1) = -2 × 256 = -512

Find the equation (in terms of x) of the line through the points (-4,-1) and (3,-3)

Y=

Answers

The equation of the line through the points is 7y = -2x - 15.

What is the equation through the points?

The equation of a line that passes through two given points is calculated as follows;

y - y1 = m(x - x1)

Where;

m is the slope of line

The slope is calculated as;

m = (y2 - y1) / (x2 - x1)

m = (-3 + 1) / (3 + 4)

m = -2/7

The equation of the line is calculated as;

y - y1 = m(x - x1)

y - (-1) = (-2/7)(x - (-4))

y + 1 = (-2/7)(x + 4)

y + 1 = (-2/7)x - (8/7)

y = (-2/7)x - (15/7)

7y = -2x - 15

Learn more about equation of a line here: https://brainly.com/question/13763238

#SPJ1


Which inequality represents the situation "the temperature should be at least 40 degrees”?

Answers

Answer:

Step-by-step explanation:

The inequality that represents the situation "the temperature should be at least 40 degrees" is:

Temperature ≥ 40

This means that the temperature must be greater than or equal to 40 degrees.

110° M NOT DRAWN TO SCALE N In the diagram, O is the centre of the circle MNP. If ZMOP = 110°, find the value of x.​

Answers

The value of angle x is determined as 55⁰.

What is the measure of angle x?

The measure of angle x can be calculated by applying circle theorem which states that the angle at the center of a circle is twice the angle at the circumference of a circle.

This theorem is known as, "Angle at the Center Theorem" or "Central Angle Theorem". It states that the angle formed by two radii (lines segment from the center of the circle to any point on the circumference) of a circle is always twice the size of the angle formed by the same arc (portion of the circumference) when measured at the circumference.

The value of angle x is calculated as follows;

from the given figure;

m ∠MOL = 2 m∠MNL

110⁰ = 2x

x = ¹/₂ x 110⁰

x = 55⁰

Learn more about Central Angle Theorem here: https://brainly.com/question/27203912

#SPJ1

A "flush" in poker is having all the same suit of cards in your poker hand. Remember that a standard deck of cards has 52 cards of four suits: clubs, diamonds, hearts, and spades. Each suit has 13 cards in it.
What is the probability that a player is dealt five cards resulting in a flush that is not the suit of hearts or clubs?

Answers

The probability of being dealt a flush that is not the suit of hearts or clubs is approximately 10.14%. This is calculated by dividing the number of ways to get a flush that is not hearts or clubs by the total number of possible hands of five cards.

PLEASE SHOW YOUR WORK ON HOW TO SOLVE THIS PROBLEM!! BEST ANSWER ILL GET MARKED BRAINIEST!

4x+5/x+7

Answers

Answer:

x = 2.4

Step-by-step explanation:

4x + 5 / x + 7
combine like terms

X + 4x = 5x

5 + 7= 12


12/ 5x

Divide

12 /5= 2.4

X= 2.4

21 cm 1.2.1 Calculate the perimeter of the A4 paper. Explain the meaning of the given scale. 1.2.2 1.2.3 What type of scale is shown on the drawing 1+1​

Answers

The perimeter of an A4 paper is calculated by adding the lengths of all four sides. An A4 paper has dimensions of 21 cm by 29.7 cm, so its perimeter is 2(21 cm) + 2(29.7 cm) = 102.4 cm.

The given scale is not provided, so it is impossible to explain its meaning.

The type of scale shown on the drawing is not provided, so it is impossible to determine whether it is a linear or a non-linear scale.

What is a good estimate for 485% of 20? Explain

Answers

Answer:

100

Step-by-step explanation:

We can estimate 485% as 500%. We know that 500% is equal to 5.

Therefore,

20 × 500%

= 20 × 5

= 100

What is the surface area?
20 cm
16 cm
20 cm
24 cm
32 cm

Answers

The calculated value of the surface area of the shape is 192 square cm

What is the surface area?

From the question, we have the following parameters that can be used in our computation:

The triangle (see attachment)

The surface area is calculated as

Area = 1/2 * Base * Height

Substitute the known values in the above equation, so, we have the following representation

Area = 1/2 * 24 * 16

Evaluate

Area = 192

Hence, the surface area is 192 sq cm

Read more about surface area at

https://brainly.com/question/26403859

#SPJ1

If mum was 23 seven years ago how old would she be in seven years

Answers

Answer:

the answer would be 30 because you would be adding 7 years by 23 and since you said years ago i think you meant by years old

you're welcome if this help :)

Step-by-step explanation:

If mum was 23 seven years ago, that means she is currently 23 + 7 = 30 years old.

In seven years, she will be 30 + 7 = 37 years old.

If Thursday seen 400 customers and Friday had a 1/5 increase from Thursday what is the number of people on Friday?

Answers

Answer:

There were 480 customers on Friday.

To calculate the increase from Thursday to Friday, we can use the following formula:

```

Increase = (percent increase / 100) * starting value

```

In this case, the percent increase is 1/5, and the starting value is 400 customers. So, the increase is:

```

Increase = (1/5 / 100) * 400 = 8

```

This means that there were 8 more customers on Friday than there were on Thursday. So, the total number of customers on Friday is:

```

Total = Starting value + Increase

= 400 + 8

= 480

```

Step-by-step explanation:

If Thursday had 400 customers, then Friday had a 1/5 increase from Thursday, which means Friday had 1 + 1/5 = 6/5 times as many customers as Thursday. To find out how many customers Friday had, we can multiply 400 by 6/5:

400 x 6/5 = 480

Therefore, Friday had 480 customers.

sasha bout a car for 22995; six years later it was worth 12645, if depreciation was linear how much did the value of the car go down each year?​

Answers

The value of the car went down by an average of $1,725 each year over the six-year period.

What is Depreciation?

Depreciation is the loss in value of an asset due to factors such as age, wear and tear, market conditions, and obsolescence. It is usually calculated on a linear basis, meaning that the same amount of depreciation is spread evenly over a period of time.

In this case, the car was purchased for $22,995, and six years later it was worth $12,645.

To calculate the linear depreciation of the car, we need to subtract the value at the end of the period from the value at the beginning, and divide by the number of years:

Depreciation = ($22,995 - $12,645) / 6

Depreciation = $1,725

This means that the car depreciated by an average of $1,725 each year. In other words, the value of the car went down by an average of $1,725 each year over the six-year period.

For more questions related to  asset

https://brainly.com/question/25746199

#SPJ1

sin2x=

please help!!

Answers

Answer:

A

Step-by-step explanation:

It is a double angle identity.

sin2x = 2sinxcosx

Answer: 2sinxcosx

Step-by-step explanation:

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

Answers

Answer:

-1/2

Step-by-step explanation:

The information provided about the line is that the line passes through the points (2, 2) and (6, 0)

Therefore, the first step consists in computing the slope. The formula for the slope is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Now, by plugging the corresponding numbers is , we get that the slope is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{0-2}{6-2} =-\frac{1}{2}[/tex]

So then, we find that the slope is [tex]m=-\frac{1}{2}[/tex] and that the line passes through the point [tex](2,2)[/tex].

Conclusion: Based on the data provided, we conclude that the slope of the line is [tex]m=-\frac{1}{2}[/tex].

What formula could you use to help find the area of the given triangle?


Angle Addition Postulate
Pythagorean Theorem
Midpoint Formula

Answers

The formula that will be useful in finding the area of the triangle is: Pythagoras theorem

How to find the area of a triangle?

The formula to find the area of the triangle is expressed by the formula:

A = ¹/₂bh

Where:

b is base

h is height

Now, we have the base but we don't have the height.

Pythagoras Theorem is defined as the way in which we find the missing length of a right angled triangle.

The triangle has three sides, namely the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).

Pythagoras is in the form of;

a² + b² = c²

where c is the hypotenuse

Thus, to find the height of the triangle, we will use Pythagoras theorem to get:

h = √(6² - 4²)

Read more about Area of Triangle at: https://brainly.com/question/17335144

#SPJ1

The cost of book B is $15.00 more than three times the cost of book A. if the cost of books A and B together is $75.00, what is the cost of book A ?​

Answers

Step-by-step explanation:

we can substitute book B as B

we can substitute book A as A

using the information above we can create an eqaution

we know B is $15.00 more than 3 times the cost of A

B = 3A + 15.00

we know the sum of the books is $75.00

A + B = 75.00

substitute B with eqaution 1 we will get

A + 3A + 15.00 = 75.00

4A + 15.00 = 75.00

- 15.00 -15.00

4A= 60.00

A = 15.00

which means book A is $15.00

ACCOUNTING
Differential Analysis for a Lease-or-sell Decision

Stowe Construction Company is considering selling excess machinery with a book value of $280,200 (original cost of $399,900 less accumulated depreciation of $119,700) for $277,800, less a 5% brokerage commission. Alternatively, the machinery can be leased for a total of $286,800 for 5 years, after which it is expected to have no residual value. During the period of the lease, Stowe Construction Company's costs of repairs, insurance, and property tax expenses are expected to be $24,900.

Answers

On the basis of the data presented, it would be advisable to sell the machinery based on the differential analysis.

For selling the machinery,

Revenues = $277,800

Costs = 277,800 × 5% = $13,890

Profit = Revenues - Cost = $277,800 - $13,890 = $263,910

For leasing the machinery,

Revenues = $286,800

Costs = $24,900

Profit = Revenues - Cost = $286,800 - $24,900 = $261,900

Here the profit generated by selling the machinery is greater, which is the better option.

Hence selling the machinery is the better option.

Learn more about Differential analysis here :

https://brainly.com/question/23910901

#SPJ1

On the basis of the data presented, it would be advisable to sell the machinery based on the differential analysis.

For selling the machinery,

Revenues = $277,800

Costs = 277,800 × 5% = $13,890

Profit = Revenues - Cost = $277,800 - $13,890 = $263,910

For leasing the machinery,

Revenues = $286,800

Costs = $24,900

Profit = Revenues - Cost = $286,800 - $24,900 = $261,900

Here the profit generated by selling the machinery is greater, which is the better option.

Hence selling the machinery is the better option.

Learn more about Differential analysis here :

https://brainly.com/question/23910901

#SPJ1

a small coffee shop owner wants to know which brand of coffee her customers prefer
population or sample explain?

Answers

If the small "coffee-shop" owner is trying to determine the preference of her customers by conducting a survey among a group of customers who visit the shop during a specific time frame, then this group would be a sample rather than a population.

A "Sample" is defined as a subset of the population that is selected to represent the entire population. In this case, the owner is trying to determine the preference of her customers by surveying a specific group of customers.

So, this group of customers is a sample of the population of all customers who visit the coffee shop.

To obtain meaningful results from the survey, the sample should be selected randomly and should be representative of the population. The results obtained from the sample could then be used to make inferences about the preferences of the entire population of customers who visit the coffee shop.

Learn more about Sample here

https://brainly.com/question/30089673

#SPJ1

The given question is incomplete, the complete question is

A small coffee shop owner wants to know which brand of coffee her customers prefer.

Is the data considered a "population" or "sample", Explain?

Solve for x. Round to the nearest hundredth. 10 37

Answers

3.96 cm is the value of the side x.

From the general formula of the sine rule:

[tex]\frac{sin\ a}{A} =\frac{sin\ b}{B} =\frac{sin\ c}{C}[/tex]

Where A, B, and C are the sides of the triangle and a, b, and c are the corresponding angles of the triangle.

In the given problem,

a= 90 degrees

A = 10 cm

b= 37 degrees

B = unknown

c =180 -90-37 = 53 (Sum of all inner angles of a triangle is 180 degrees)

C = x

Thus,

[tex]\frac{sin\ 90}{10} =\frac{sin\ 53}{x}[/tex]

x = 10 sin53°

x = 10*0.3959

x = 3.96

therefore, the value of the side x is 3.96 cm.

Learn more about the sine rule here:

https://brainly.com/question/30339234

#SPJ1

3.96 cm is the value of the side x.

From the general formula of the sine rule:

[tex]\frac{sin\ a}{A} =\frac{sin\ b}{B} =\frac{sin\ c}{C}[/tex]

Where A, B, and C are the sides of the triangle and a, b, and c are the corresponding angles of the triangle.

In the given problem,

a= 90 degrees

A = 10 cm

b= 37 degrees

B = unknown

c =180 -90-37 = 53 (Sum of all inner angles of a triangle is 180 degrees)

C = x

Thus,

[tex]\frac{sin\ 90}{10} =\frac{sin\ 53}{x}[/tex]

x = 10 sin53°

x = 10*0.3959

x = 3.96

therefore, the value of the side x is 3.96 cm.

Learn more about the sine rule here:

https://brainly.com/question/30339234

#SPJ1

can someone tell me how to find the area of a sector in a circle and if you can provide an example

Answers

Answer:

Step-by-step explanation:

Sector area is a portion of the circle's area.

formula is π r² × x/360°

where x is the central angle.

For example if the radius is 9 and the central angle is 120°.

π · 9² · 120/360

3.14 · 81 · 1/3 = 84.78 units²

or in terms of pi = [tex]\frac{1}{3}[/tex] (81π)

Consider the series ∑n=0∞2e−n.

a. The general formula for the sum of the first n terms is S_n=__?__. Your answer should be in terms of n.

b. The sum of a series is defined as the limit of the sequence of partial sums, which means ∑n=0∞2e−n=limn→∞=(__?__)=(__?__).

c. Select all true statements (there may be more than one correct answer):
A. The series is a telescoping series (i.e., it is like a collapsible telescope).
B. The series converges.
C. The series is a geometric series.
D. The series is a p-series.

Answers

a. The general formula for the sum of the first n terms is Sₙ = 2(1 - e⁻ⁿ)/(1 - e⁻¹)

b. The sum of a series is defined as the limit of the sequence of partial sums is converges.

c. The true statement are "The series converges. and The series is a geometric series." (option B and C).

a. To find the general formula for the sum of the first n terms, we need to add the first n terms of the series. Thus, we have:

Sₙ = 2e⁰ + 2e⁻¹ + 2e⁻² + ... + 2e⁻ⁿ

We can see that this is a geometric series with a first term a=2 and a common ratio r=e⁻¹. Therefore, we can use the formula for the sum of a geometric series to find the general formula for Sₙ:

Sₙ = a(1 - rⁿ)/(1 - r)

Substituting a=2 and r=e⁻¹, we get:

Sₙ = 2(1 - e⁻ⁿ)/(1 - e⁻¹)

the limit of the sequence of partial sums is zero, the series converges.

b. To determine whether the series converges or diverges, we can take the limit of the sequence of partial sums as n approaches infinity. Thus, we have:

∑n=0∞2e−n=limn→∞ S_n= limn→∞ 2(1 - e⁻ⁿ)/(1 - e⁻¹)

To evaluate this limit, we can use L'Hopital's rule, which states that if we have an indeterminate form of the type 0/0 or infinity/infinity, we can take the derivative of the numerator and the denominator until the form is no longer indeterminate. Applying L'Hopital's rule, we get:

lim n→∞ 2(1 - e⁻ⁿ)/(1 - e⁻¹) = limn→∞ 2e⁻ⁿ/(e⁻¹) = 0

c. We can now identify whether the series is a telescoping series, a geometric series, or a p-series.

The series is a geometric series, as we already saw in part (a).

Therefore, the correct answers are (B) and (C).

To know more about series here

https://brainly.com/question/4617980

#SPJ1

PLEASE ANSWER AND EXPLAIN WHY THE ANSWER IS CORRECT!

Answers

The first one is correct

Answer:

see below

Step-by-step explanation:

A box plot—displays the five-number summary of a set of data.

The five-number summary is the

minimum, first quartile, median, third quartile, and maximum.

In a box plot, we draw a box from the first quartile to the third quartile.

A vertical line goes through the box at the median.

So the median of this set of data = 7

only C & D show a median of 7.

Then, Just like the median divides the data into half so that 50% of the measurement lies below the median and 50% lies above it, the quartile breaks down the data into quarters so that 25% of the measurements are less than the lower quartile, 50% are less than the median, and 75% are less than the upper quartile.

D is correct

a new crew of painters takes two times as long to paint a small apartment as the experienced crew together both crews can paint the apartment in 6 hours how many hours does it take the experienced crew to paint the apartment

Answers

In the equation , it take 2 hours for the experienced crew to paint the apartment.

What is equation?

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here let us take x as time taken by new crew of painters apartment and y as time taken by experienced crew of painters apartment .

Now a new crew of painters takes two times as long to paint a small apartment as the experienced crew  then,

x = 2y ----> 1

both crews can paint the apartment in 6 hours then,

=> x+y = 6

Now put  equation 1  into x+y=6 then,

=> 2y+y=6

=> 3y = 6

=> y = 6/3 = 2 hours.

Hence it take 2 hours for the experienced crew to paint the apartment.

To learn more about equation refer the below link

https://brainly.com/question/29336774

#SPJ1

The number of employees for a certain company has been decreasing each year by 8%. If the company cumenty has 720 employees and this rate continues, find the number of employees in 10 years.
The number of employees in 10 years will be approximately
Round to the nearest whole number as needed)

Answers

The number of employees for a certain company has been decreasing each year by 8%. If the company cumenty has 720 employees and this rate continues, find the number of employees in 10 years.

The number of employees in 10 years will be approximately

Round to the nearest whole number as needed)

Given a random sample: X= 75, Sx = 24, and n = 36. Construct a 95% confidence interval and
estimate the population mean, m.
What would be the answer to this?

Answers

we estimate the population mean m to be 75.

What is confidence interval?

A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contain the parameter's true value is what is meant by the confidence level. The degree of confidence, sample size, and sample variability are all factors that might affect the width of the CI. A larger sample would result in a narrower confidence interval if all other factors remained constant. A wider confidence interval would also be required by a higher confidence level and would be produced by a sample with more variability.

Since we want a 95% confidence interval, α = 0.05/2 = 0.025 and we need to find the critical value from the t-distribution with (36-1) = 35 degrees of freedom. Using a t-table or calculator, we find that t0.025,35 = 2.032.

Now, plugging in the values we have:

CI = 75 ± (2.032 * (24/√36))

CI = 75 ± (2.032 * 4)

CI = 75 ± 8.128

So the 95% confidence interval for the population mean m is (66.872, 83.128). This means we are 95% confident that the true population mean falls within this interval.

As for the estimated population mean, we can simply take the sample mean, which is X = 75.

Therefore, we estimate the population mean m to be 75.

Learn more about confidence interval, by the following link.

https://brainly.com/question/17097944

#SPJ9

Other Questions
Which may be one of the most hazardous tasks for the driver/operator during water shuttle operations?Select one:a. Opening the ventsb. Driving the travel routec. Operating the vacuum pumpd. Operating the remote dump valve 1) In the Poet X Book from Elizabeth Acevedo, what are your thoughts on this quote "Sometimes it seems like writing is the only way I keep from hurting." 2)What theme does this quote belong to? Explain why. Which part of the brain is unique in some mammals in comparison to other vertebrates? a. olfactory bulb b. pineal gland c. corpus callosum d. cerebellum The taylor series for f(x) = cos(x) centered at x = 0 is cos(x) = Sigma^infinity_k=0 (-1)^k 1/(2k)! X^2k = 1 - 1/2! x^2 + 1/4! X^4 -1/6! X^6 + ... Substitute t^3 for x to construct a power series expansion for cos (t^3). For full credit, your answer should use sigma notation. Integrate term-by-term your answer in part (a) to construct a power series expansion for integral cos(t^3) dt. Your final answer should include + C since this integral is indefinite. For full credit, your answer should use sigma notation. For each of the following processes, indicate whether the signs of delta S and delta H are expected to be positive, negative, or about zero.A) a solid sublimes (passes from solid to gas)B) the temperature of a solid is lowered by 25degrees CC) Ethanol evaporates from a beakerD) A diatomic molecule dissociates into atomsE) A piece of charcoal is combusted to form CO2(g) and H2O(g) All of the following traits can be possessed by non-chordates except:a. notochordb. bilateral symmetryc. segmented bodiesd. head with sensory organs Which statement is true about a member of a Medicare advantage plan who wants to enroll in a Medicare supplement insurance plan? loftus (1974) gave subjects a description of an armed robbery. eighteen percent presented with only circumstantial evidence convicted the defendant. when an eyewitness' identification was provided in addition to the circumstantial evidence, 72% convicted the defendant. what happened when mock jurors were told that the eyewitness had poor eyesight and wasn't wearing his glasses? what urinalysis findings would be consistent with kidney failure find the exact location of all the relative and absolute extrema of the function. (order your answers from smallest to largest x.) f(x) = 5x2 20x 5 with domain [0, 3] a car with a mass of 1000kg is going at 20m/s and then stops in 25m. what was its change in kinetic energy? group of answer choices The hypotenuse of a right triangle measures 10 cm and one of its legs measures 7 cm. Find the measure of the other leg. If necessary, round to the nearest tenth. find a particular solution to 4=8sin(2t) Mistletoe is a plant species that spreads when bird droppings containing its seeds land on tree branches. After a seed sprouts, themistletoe plant penetrates the tissues of the tree using its haustorium, a structure that draws water and nutrients into the plant.Mistletoe plants also produce large bunches of evergreen leaves that use light to photosynthesize nutrients. These leaves canblock light from reaching the leaves of the tree the mistletoe inhabits. Some trees that become filled with mistletoe are susceptibleto death from a lack of nutrients. Which terms best classify the interactions between mistletoe and the tree it inhabits?O A. predation and parasitismOB.parasitism and competitionC.mutualism and cooperationO D. competition and predationResetNext Question What is the standard reduction potential of Y3+ given that the cell potential of the following cell is 1.32 V? which areas are most susceptible to slope failure?group of answer choiceswater-saturated vertical road cutsslopes at 30 next to riverssaturated and vegetated slopesunsaturated vertical road cuts Customers can be served by any of three servers, where the service times of server i are exponentially distributed with rate mu_i, i = 1, 2, 3. Whenever a server becomes free, the customer who has been waiting the longest begins service with that server. a.If you arrive to find all three servers busy and no one waiting, find the expected time until you depart the system. b.If you arrive to find all three servers busy and one person waiting, find the expected time until you depart the system. the key outputs of the shortterm financial planning process are the 6.3.4 practice be the critic Which statement about the Law of the Conservation of Mass is true?