Mathematics High School

A key difference between calculating the sample mean and the population mean is that:
a.we use and n instead of µ and n.
b.we divide the sum of the observations by n - 1 instead of n.
c.the sample observations are ranked and the middle value is selected as the population mean.
d.there are no differences.

Answers

Answer 1

Final answer:

The key difference between calculating the sample mean and the population mean is that when calculating the sample mean, we use x and n instead of µ and n. Additionally, we divide the sum of the observations by n - 1 instead of n. Correct Option -B

Explanation:

The key difference between calculating the sample mean and the population mean is that when calculating the sample mean, we use x and n instead of µ and n. Additionally, we divide the sum of the observations by n - 1 instead of n.

The reason for dividing by n - 1 in the sample mean calculation is that it provides a better estimate of the population variance. Dividing by n - 1 instead of n accounts for the fact that the sample mean is an estimate of the population mean based on a limited set of data.

Related Questions

In 2004, the world's largest carousel was located at the House on the Rock, in Spring Green, Wisconsin. Suppose that the center of the carousel is at the origin and that one of the animals on the circumference of the carousel has coordinates (24, 32). If one unit of the coordinate plane equals 1 foot, what is the diameter of the carousel

Answers

1. You have that the Standard form for the equation of a circle when its center is at the origin, is:

 x²+y²=r²

 2. You must calculate the radius. Then:

 r=√(x²+y²)

 x=24
 y=32

 3. When you substitute the values of "x" and "y" into the equation r=√(x²+y²), you obtain:

 r=√(x²+y²)
 r=√(24²+32²)
 r=√(576+1024)
 r=√1600
 r=40 feet

 4. Therefore, the diameter (D) of the circle, is:

 D=2r
 D=2(40 feet)
 D=80 feet

Find the inverse function for the function f(x) = mx + b?

Answers

y = mx + b
The inverse is created by interchanging x and y like this.
x = my + b and solving for y
(x - b) = my Now divide by m
(1/m) * (x - b) = y

Find m∠A given ΔABC where a=4, b=6, c=3.

Answers

For this question, we're going to use the law of cosines.
The law of cosines is the following equation:

[tex]a^2=b^2+c^2-2(b)(c) \cos(A)[/tex]

We know the values of a, b, and c. We want to find the measure of angle A.
[tex]a=4[/tex]
[tex]b=6[/tex]
[tex]c=3[/tex]

Now, plug in these values into the equation.

[tex]4^2=6^2+3^2-2(3)(6) \cos(A)[/tex]
[tex]16=45-36 \cos(A)[/tex]

Add both sides by [tex]36 \cos(A)[/tex] and subtract both sides by 16

[tex]36 \cos(A)=29[/tex]

Divide both sides by 36

[tex]\cos(A)= \dfrac{29}{36}[/tex]

Take the inverse cosine, or arc cosine, of both sides.
Using a calculator, you'll get the following result.

[tex]A \approx 36.3^O[/tex]

The measure of angle A should be 36.3 degrees. Hope this helps! :)

why is 5 a rational number?

Answers

Every integer is a rational number, since each integer n can be written in the form n/1. For example 5 = 5/1 and thus 5 is a rational number.  i hope this helps you
A rational number is any number that can be written as a ratio of two integers (hence the name!). In other words, a number is rational if we can write it as a fraction where the numerator and denominator are both integers.

5 is a rational number because it can be expressed as the quotient of two integers: 5÷ 1

Hope this helps!! ;))
Have a grat day!! <3

Two 6-sided dice are rolled. what is the probability that the sum of the two numbers on the dice will be greater than 9?

Answers

What combination of numbers are needed in order to get a sum of 9?
        It can be:
             •  First die is 6 , second die is 3 
             •  First die is 3 , second die is 6
             •  First die is 4 , second die is 5
             •  First die is 5 , second die is 4

How many possible combinations are made? Yep, 4 possible combinations.

Recall the formula for probability
       [tex]Probability = \frac{Number of desired outcomes}{Number of all possible outcomes} [/tex]

There are 4 desired number of outcomes.
How about the total possible outcomes?
     • How many numbers are possible to appear when the first die is rolled?
        Answer: 6
     • What about the second die?
        Answer: Also 6
     • Therefore, total possible outcomes = 6 * 6 = 36 outcomes

You can now solve for the probability.

      [tex]Probability = \frac{4}{36} = \frac{1}{9} [/tex] or approximately 11.11%

Write the equation, in slope-intercept form, of the line passing through the origin and the point $(-4,3)$.

Answers

If the equation is passing trough the origin, it will be passing trough the point (0,0). We now for our problem that the equations is also passing trough the point (-4,3). So, our line is passing trough the points (0,0) and (-4,3). To write the equation in slope-intercept form, first, we need to find its slope [tex]m[/tex]. To do that we are going to use the slope formula: [tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex].
From our two points we can infer that [tex]x_{1}=0[/tex], [tex]y_{1}=0[/tex], [tex]x_{2}=-4[/tex], [tex]y_{2}=3[/tex]. Lets replace those values in the slope formula:
[tex]m= \frac{y_{2}-y_{1}}{x_{2}-x_{1}} [/tex]
[tex]m= \frac{3-0}{-4-0} [/tex]
[tex]m= \frac{3}{-4} [/tex]
[tex]m=- \frac{3}{4} [/tex]

Now that we have our slope, we can use the slope-intercept formula:
[tex]y-y_{1}=m(x-x_{1})[/tex]
[tex]y-0=- \frac{3}{4} (x-0)[/tex]
[tex]y=- \frac{3}{4} x[/tex]

We can conclude that the equation of the line passing trough the points (0,0) and (-4,3) is [tex]y=- \frac{3}{4} x[/tex].

want 100p and brainiest answer first, ((((please))))

what is   2        1
             1__ - 2__ = ?
               3         3

Answers

I believe it’s -2 over 3

The area of a rectangular classroom is given by the trinomial 10x^2 + 3x - 4 What are the possible dimensions of the classroom? Use Factoring.

Answers

Answer: The expression factors to (2x - 1)(5x + 4)

In a rectangle the area is L x W. So if we know the area is 10x^2 + 3x - 4, then all we have to do is factor it to find possible values for the L and W.

If you factor the expression by grouping, you will get (2x - 1) and (5x + 4).

Your questions asks for possible dimensions, you could give the two expressions as dimensions.

If you wanted to select a value for x, you could plug it in and get values that could be dimensions.

For example if you let x = 10, you would have a rectangle that has a width of 19 and a length of 54.

Answer:

(5x + 4) and (2x – 1)

Step-by-step explanation:

What is another way to write this number 300+70+5/10+8/100

Answers

Hello!

Your answer is 370 [tex] \frac{29}{50} [/tex]
Another way to write that number would be 370 58/100.
I hope this helped! :-)

jack lease a car for $159\month for 39 months. the amount due when he signed the lease was 2399. how much did jack pay during the first year of the lease.

Answers

The answer is $4,307. If he is paying 159 a month for 39 months, then you take 159 and muliply it by 12 for the year. That gives you 1908. You then add the 2399 that you paid when he signed the lease and it gives you the 4307.

Solve the inequality
-40 > -10k

Answers

Hi! 

-40>-10k

Divide both sides by -10, and flip the inequality sign since we are dividing by a negative.

4<k

Have a nice day! 

If a family has three children draw a tree diagram representing the possible outcomes for the genders of the children and then list the sample space

Answers

Each child has a 50/50 chance of being boy or girl whether the other child was a boy or girl. The possible chances are BBG, BBB, BGG, GGG

Please help!!! Thank you!!!

Answers

To find the total area of this figure, it would be easiest to find the area of the left part (rectangle) and then find the area of the right part (triangle), and then add the two area values together.

First, we will find the area of the rectangle, using the formula A = lw, where l is the length of the rectangle and w is the width of the rectangle.
The length of the rectangle is 13 cm and the width is 9 cm. If we substitute in these values into our equation, we get:
A = (13cm)(9cm)
A= 117 cm^2

Next, let’s find the area of the triangle, using the formula A=(1/2)bh, where b is the base of the triangle and h is the height.
The base of the triangle is 11 cm and the height of the triangle is 5 cm (found by subtracting 13-8 as seen in the figure). If we substitute in these values and simplify, we get:
A=1/2(11cm)(5cm)
A=1/2(55cm^2)
A=27.5 cm^2.

When we add together the area of the rectangle with the area of the triangle, we will get the total area of the figure.

117 cm^2 + 27.5 cm^2 = 144.5 cm^2
Your answer is 144.5 cm^2 or the first option.

Hope this helps!

x/10=2/4?
or x over 10
equals to 2 over 4

Answers

The answer is:  " x = 5 " .
_______________________________________________
Note the following:
_______________________________________________

2/4 = 1/2 ; 

1/2 = (1*5) / (2*5) = 5/10 ; 

2/4 = 1/2 = 5 / 10 . 

or:  2/4 = 1/2 = 0.5 = 5/ 10 .  

The answer:  " x = 5 " .
___________________

Or:  x/ 10 = 2/4 ;  

Cross-multiply:

  4x = (2)(10) ; 

  4x = 20 ; 

Divide each side by "4" ; 

  4x / 4 = 20/4 ; 

   " x = 5 " ; 
_____________________
Or:  x/10 = 2/4 ; 

Note:  "2/4 = 1/2" ;  so rewrite as:

x/10 = 1/2 ; and cross-multiply:

2x = (10)(1) ; 

2x = 10 ; 

Divide each side of the equation by "2" ; 

2x / 2 = 10 / 2 ; 

  " x = 5 " . 
______________________________________

John rolls a number cube twice. What is the probability that the sum of the 2 rolls is less than 7, given that the first roll is a 1?

one over six
one over three
one over two
five over six

Answers

The probability would be 5/6.

There are 6 ways we can roll two dice and have the first number be a 1:
1, 1
1, 2
1, 3
1, 4
1, 5
1, 6

Out of these, 5 possibilities give us a sum less than 7:
1, 1
1, 2
1, 3
1, 4
1, 5

Thus we have 5/6.

Answer:  The correct option is (d) five over six.

Step-by-step explanation:  Given that John rolls a number cube twice. We are to find the probability that the sum of the 2 rolls is less than 8 given that he first roll is a 1.

The sample space of an event of rolling a cube is

S = {1, 2, 3, 4, 5, 6}.

That is, n(S) = 6.

Now, let 'A' be the event that the sum of the two rolls is less than 7, then

A = {1, 2, 3, 4, 5}.

That is, n(A) = 5.

So, the probability of happening of event A is given by

[tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{5}{6}.[/tex]

Thus, the required probability is five over six.

Option (d) is correct.

Each blade on a windmill is in the shape of a triangle with a base of 7 feet and a height of 4 feet. If there are four blades on the windmill, what is the total area of the blades 1.56 ft2 2.14 ft2 3.28 ft2 or 4.96 ft2 im unsure of this one but im going with 2.,

Answers

The area of a blade with rectangular shape = 1/2 * b * h where b is the base and h, the height. Here b = 7 and height = 4 So the area of the blade = 1/2 * 7 * 4 = 14ft^2 If the are four blades the total area is the summation of individual blade. So area = 14 + 14 + 14 + 14 = 56ft^2. Hence none of the option satisfies the answer.

If AB is a tangent then point b must be the point of tangency true or false

Answers

False. If AB is a tangent, it must intersect in only of its 1 point.

1. Add or subtract.

a. (x^2 - 4 x + 5) + (7x^2 + 2x + 3)

b. (7x^2 + 4x - 6) - (2x^2 - 3x + 1)

Answers

1a.

Answer is 8x² - 2x + 8

  (x² - 4x + 5) + (7x² + 2x + 3)

The parentheses can go away since this is all addition (associative property of addition)

  x² - 4 x + 5 + 7x² + 2x + 3

Combine like terms.

  (x^2 + 7x²) + (-4x + 2x) + (5 + 3)   = 8x² - 2x + 8

======

1b.

Answer is 5x^2 + 7x - 7

  (7x² + 4x - 6) - (2x² - 3x + 1)

Distribute the negative into the right parentheses.

  (7x² + 4x - 6) - (2x² - 3x + 1)

  = 7x² + 4x - 6 - 2x² + 3x - 1

  = (7x² - 2x²) + (4x + 3x) + (-6 - 1)

  =  5x^2 + 7x - 7

The difference of two numbers is 44 1/2 . If the smaller of the two numbers increases 7 times then the difference will be 10 3/14 . Find the numbers.

The numbers are: ___ ,___ or ____,___

Answers

Answer: The smaller number is 9 and 5/42. The larger number is 53 and 13/21.

To find these answer you have to write the following two equations.

x - y = 44 and 1/2
7y - x = 10 and 3/14

Then, you can use the substitution method to solve them. Change the first equation to: x = 44 + y. Substitute that into the second equation and solve for y. Once you have that, plug it back into the first equation and solve for x.

The smaller number is 11 and the larger number is [tex]55 \frac{1}{2}[/tex].

Let's denote the two numbers as x and y, where x is the smaller number. We're given that [tex]y - x = 44 \frac{1}{2}[/tex] and [tex]7x - y = 10 \frac{3}{14}[/tex].

To solve this system of equations, we can use substitution or elimination. Let's use elimination:

1. Multiply the second equation by 2 to clear fractions: [tex]14x - 2y = 20 \frac{6}{14}[/tex].

2. Add the modified second equation to the first equation:

[tex](y - x) + (14x - 2y) = 44 \frac{1}{2} + 20 \frac{6}{14}[/tex]

[tex]13x - y = 64 \frac{11}{14}[/tex]

Now, we have a simpler equation: [tex]13x - y = 64 \frac{11}{14}[/tex].

3. Add this equation to the original second equation to find x:

[tex]7x - y + 13x - y = 10 \frac{3}{14} + 64 \frac{11}{14}[/tex]

[tex]20x - 2y = 75[/tex]

4. Now, we can solve this equation along with the first equation to find x and y.

After solving, we get x = 11 and [tex]y = 55 \frac{1}{2}[/tex].

The smaller number is 11 and the larger number is [tex]55 \frac{1}{2}[/tex].

Thus, the numbers are [tex]{11 \text{ and } 55 \frac{1}{2}}[/tex].

Correct Question:

The difference of two numbers is 44 1/2 . If the smaller of the two numbers increases 7 times then the difference will be 10 3/14 . Find the numbers.

20 POINTS! What is the slope of the line through the points (2, 5) and (6, 13)?

Answers

Slope can be found using the formula [tex] \frac{y2-y1}{x2-x1} [/tex].

[tex] \frac{13-5}{6-2} [/tex]
[tex] \frac{8}{4} [/tex]
Slope = 2

So the slope of the line that passes through that point is 2.

Hope this helps :)
your answer is 2. have a great day

a(t) = (t - k)(t - 3)(t - 6)(t + 3) is a polynomial function of t, where k is a constant. Given that a(2) = 0, what is the absolute value of the product of the zeros of a?

Answers

If a(2) = 0, then k=2. The product of the zeros is
(2)*(3)*(6)*(-3) = -108

The absolute value of the product of zeros of a(t) is 108.
zeros:
t-k=0, t=k
t-3=0, t=3
t-6=0, t=6
t+3=0, t=-3
abs value of the product= abs value of (t*3*6*-3)=54t

In july in seattle, the grass grows 1/2 inch a day on a sunny day and 1/4 inch a day on a cloudy day. in seattle, in july, 75% of the days are sunny and 25% of the days are cloudy.
a.find the expected value of grass growth for the day
b.find the expected value of grass growth for the month of july ( 31 days ) -- round both to 2 decimal placees

Answers

expected value equals sum of the product of each value and its possibility.
a.
1/2×75％＋1/4×25％=0.4375
the expected value of grass growth for the day is 0.4375
b.
0.4375×31=13.5625
the expected value of grass growth for the month of july is 13.5625

Final answer:

Calculate the expected grass growth in Seattle based on the daily growth rates for sunny and cloudy days, then find the expected growth for the month of July.

Explanation:

a. Expected value of grass growth for the day:

Expected growth = (0.75 x 0.5) + (0.25 x 0.25) = 0.4375 inches

b. Expected value of grass growth for the month of July:

Expected growth for July = 31 days x Expected growth per day = 31 x 0.4375 = 13.56 inches

HELP:
Whic reformer was not a journalist who investigated corruption in business or government?
(Points : 3)
Ray Stannard Baker

Upton Sinclair

Lincoln Steffens

William Booth


i wend with D

Answers

The correct answer is William Booth. He was the founder of the Salvation Army and a preacher, not a journalist. The other three examples were indeed journalists and writers who were ¨muckrakers¨, a term used to describe journalists in the Progressive Area who were dedicated to exposing corruption in institutions or of different community leaders, businessman, politicians and the like.

90% * x = 50 pounds of money

Answers

Divide by 90%.
  x = £55.56

HELP PLEASE
Find the value of x, if you know the hypotenuse is 10 and 1 of the sides is 5. X is the other side.

Answers

We can use Pythagorean's Theorem to solve for the unknown side:
[tex]a^2+b^2=c^2[/tex]

Solve for b (c is the hypotenuse and it doesn't matter which side is a or b):
[tex]b = \sqrt{c^2-a^2} = \sqrt{10^2-5^2} = \sqrt{100-25} = \sqrt{75} [/tex]

We can simplify this:
[tex] \sqrt{75} = \sqrt{25*3} = 5 \sqrt{3} [/tex]

So, your answer is, b = [tex]5 \sqrt{3} [/tex]
Hey there! :) 

For questions like these, where you are given the hypotenuse & one side of a triangle, then we can very simply use the Pythagorean Theorem to find x.

Pythagorean Theorem : a² + b² = c²

Where :

a = side length 
b = another side length
c = hypotenuse

Since we are given 10 as the hypotenuse and 5 as a side length, we can very simply plug these into the Pythagorean theorem. 

a² + b² = c²

We'll plug 10 into 'c' and 5 into 'a.'

(5²) + b² = (10²)

Simplify.

25 + b² = 100

Now, subtract 25 from both sides.

b² = 100 - 25

Simplify.

b² = 75

Now, find the square root of b² and 75.

[tex] \sqrt{b^2} = \sqrt{75} [/tex]

Simplify.

[tex]b = 5 \sqrt{3} [/tex]

Therefore, our final side length is : [tex]5 \sqrt{3} [/tex]

~Hope I helped!~

Find the measure of each angle please?

Answers

Hi!

The measure of angle x is 60 degrees so the measure of angles 2x is 120 degrees.
Each exterior angle measuring 2x forms a linear pair with an interior angle measuring an unknown measure. Angles in a linear pair are supplementary.
Since both interior angles are supplementary to congruent angles, they are congruent.
Let z be the measure of each upper interior angle.

2x + z = 180

z = 180 - 2x

Each upper interior angle measures 180 - 2x.

The sum of the measures of the interior angles of a triangle is 180.

180 - 2x + 180 - 2x + x = 180

-3x + 360 = 180

-3x = -180

x = 60

One interior angle measures x, so it measures 60 deg.
The other two interior angles measure 180 - 2x = 180 - 2(60) = 180 - 120 = 60

Answer: all interior angle measure 60 deg.
The exterior angles shown measure 120 deg each.

If ED = 10 and DB = 3x-8, what is the length of EB

1. 32
2. 22
3. 10
4. 20

Answers

Based on the picture, we know that ED is equal to DB. Therefore:

2 times ED=EB
2(10)=20

EB is 20
Answer:
EB = 20 units

Explanation:
This question can be solved using two methods:
Method #1:
From the image, we can note that D is the midpoint of EB, therefore, ED = DB
This means that:
EB = 2*10 = 20 units

Method #2:
From the image, we know that ED = DB
We are given that ED = 10 units
Therefore:
DB = 3x - 8 = 10
3x = 18
x = 6
DB = 3(6) - 8 = 18 - 8 = 10 units
EB = EB + DB = 10 + 10 = 20 units

Hope this helps :)

help please

integral of sqrt (x^2+6x) dx

Answers

The integral of (x^2 + 6x)dx is 1/3x^3 + 3x^2 + c.
 Because this is not an integration with specific bounds, you must include a constant at the end. In general, to integrate, add 1 to the exponent of x and then whatever number is the exponent of x, divided the number in front of x by that.

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

a(n) = -3 * 2^(n-1)

first term, you substitute 1 into n
-3 * 2^(1-1)
-3 * 2^0
-3 * 1= -3

fourth term, you substitute 4 into n
-3 * 2^(4-1)
-3 * 2^3
-3 * 8 = -24

eighth term, you substitute 8 into n
-3 * 2^(8-1)
-3 * 2^7
-3 * 128 = -384


Will give brainliest answer!!

Answers

Answer:
5:8

Explanation:
First, we will compute the ratio between the two volumes as follows:
1000 / 4096 = 125 / 512 
which is equivalent to 125 : 512

Then, we will get the cubic root of the ratio. This is because volume of cube is computed by cubing its side length.
Therefore, similarity ratio iR³ will be:
125 : 512
(5)³ : (8)³
5 : 8

Hope this helps :)
Other Questions
Mrs. a receives a rectal suppository to stop the seizure, that suppository most likely contains which drug? Diffusion of a substance across a cell membrane is due to An example of a radioactive isotope is carbon-12. carbon-14. neon-20. neon-22. Is studying how the mayfly population affects the number of trout in a stream called ecology Which fraction is NOT equivalent to 8 1/2 ? A) 2 3 B) 24 36 C) 4 6 D) 6 10What is 5 x 2/3? A) 3 1/3B) 3 2/5C) 5 2/3D) 10/15 Solve each equation. Factor and use the zero product property to solve. Show all work algebraically. A roped off area of width x is created around a 4-foot by 6-foot rectangular museum of display of Native American artifacts. The combined area of the display and the roped-off is 120 square feet. Find the width. (MC)Which word best describes the mood in this excerpt from Little Brother? (10 points)We passed a lot of people in the road on the way to the Powell Street BART. They were running or walking, white-faced and silent or shouting and panicked. The closer we got to the BART, the worse the press of bodies became. By the time we reached the stairway down into the station, it was a mob-scene, a huge brawl of people trying to crowd their way down a narrow staircase. I had my face crushed up against someone's back, and someone else was pressed into my back.Enthusiastic Calm Frantic Hopeful Where is ancient Mesopotamia located? Which statement includes a rebuttal? A.Twain's use of sarcasm and other humorous techniques shows that he doesn't take anything seriously and doesn't think his readers should either. B.While some say that Twain's use of sarcasm is inappropriate in serious situations, evidence shows that small amounts of humor help people cope with serious topics. C.Twain's use of sarcasm makes his stories entertaining no matter what the topic. D.While Twain's topics are often serious, he uses humorous techniques in his writing to make the topics less upsetting for his readers. Which influenced Tolkien's desire to write The Hobbit? his love of Norse fables encouragement from his childhood librarian his desire to create a new mythology encouragement from other writers Triangle ABC and Triangle DEF are similar. For triangle ABC, AB = 2x , AC = 24 inches and BC = 20. For triangle DEF, EF = 5 and DF = x - 2 . What is the value of x? A historian who compares the expansion of political systems to the expansion of economic systems is organizing history by? A) theme B) period C)culture D)region Suppose that a system has 5000 grasshoppers. how many hawks would be expected? A $50,000 investment earns 18% annually. If B represents the balance and t represents the number of years, determine an expression that gives the account balance, B, after t years. Also, determine an equivalent expression that displays the effective monthly interest rate. How do the Jim Crow laws connect to Carlotta's experiences in a Mighty Long Way? What type of balance needs to be acquired first?a) Dynamic balanceb) Turk standc) Tripodd) Static balance History help asap!! 10 pts!!Today it is illegal to fire a government worker because he or she supported for president and now to work for government, citizens must take a civil service exam to be considered for position. Why do you think these regulations became necessary? If the state sales tax is 6% and a city adds an additional 1 1/4% tax,What will the tax be on a purchase of $146.00? (Round the answer to the nearest cent.)A. $10.59B. $8.76C. $10.80D. $18.25 the definition of: Vertebrates