which sample proportion will require the largest number of work sampling observations for a given confidence level and allowable error? multiple choice .95 .05 .25 .50 .75

Answers

Answer 1

0.50 sample proportion will require the largest number of work sampling observations for a given confidence level and allowable error as the variability is largest at 0.50.

What is proportion?

A part, share, or quantity is a percentage when it is compared to the total. It can be any number between 0 and 1, 0, or 1. A number or percentage can be used to represent it. The percentage of Canadians who reside in a certain province is one illustration from official statistics. A special class of ratio called a proportion has the numerator and denominator combined. An illustration is the ratio of deaths to men, which is calculated by dividing deaths to men by deaths to men and women.

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Related Questions

Which parent functions have a domain of all real values of x? Select all that
apply.
A. Reciprocal
B. Cubic
C. Quadratic
D. Cube root
E. Linear
F. Absolute value

Answers

Answer:

A D F

Step-by-step explanation:

The parent functions with a domain of all real values of x are the linear function, the absolute value function, the square root function, and the cube root function.

The linear function is defined by the equation y = mx + b, where m is the slope of the line and b is the y-intercept. The domain of this function is all real values of x.

The absolute value function is defined by the equation y = |x|, where |x| is the absolute value of x. The domain of this function is all real values of x.

The square root function is defined by the equation y = √x, where √x is the square root of x. The domain of this function is all nonnegative real values of x.

The cube root function is defined by the equation y = ∛x, where ∛x is the cube root of x. The domain of this function is all nonnegative real values of x.

Therefore, the correct answers are A, D, and F. The reciprocal function, the cubic function, and the quadratic function do not have a domain of all real values of x.

Find the curl and divergence of the vector fieldF(x,y,z) = yz (sin(xy) )i - xz(sin(xy)) j − cos(xy) k

Answers

As per the details given, The curl of the vector field F is zero. The divergence of the vector field F is zero.

The vector calculus operators can be used to determine the curl and divergence of the vector field F(x, y, z) = yz(sin(xy))i - xz(sin(xy))j - cos(xy)k.

The cross product of the del operator () and the vector field F yields the curl of the vector field F:

∇ × F = ( ∂/∂x , ∂/∂y , ∂/∂z ) × ( Fx , Fy , Fz )

∂/∂x = ∂/∂y = ∂/∂z = 0

∇ × F = (0 , 0 , 0) × (yz(sin(xy)) , -xz(sin(xy)) , -cos(xy))

∇ × F = (0 , 0 , 0)

∇ · F = ( ∂/∂x , ∂/∂y , ∂/∂z ) · ( Fx , Fy , Fz )

Let's calculate the divergence:

∂/∂x = ∂/∂y = ∂/∂z = 0

∇ · F = (0 , 0 , 0) · (yz(sin(xy)) , -xz(sin(xy)) , -cos(xy))

∇ · F = 0yz(sin(xy)) + 0(-xz(sin(xy))) + 0*(-cos(xy))

∇ · F = 0

Therefore, the divergence of the vector field F is also zero.

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The ratio table shows the numbet of miles karen can drive for 1,2,3 and 4 gallons of gasoline.Based on the table, How far would she be able to drive on 8 gallons of gasoline

Answers

Using a proportional relationship, it is found that she would be able to drive 240 miles on 8 gallons of gasoline.

What is a proportional relationship?

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

Researching the problem on the internet, it is found that she drives 30 miles per gallon, hence the function for the distance driven considering the number of gallons in the tank is given by:

D(n) = 30n.

She has n = 8 gallons, hence the distance is given by:

D(8) = 30 x 8 = 240 miles.

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1000000000000x1690000000000000000000000000000000000000000000000000000066666666e55555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555+3333333333333333333333333333333333333333333444444444444x400

Answers

Answer:

oh god my calculator can't handle this

Step-by-step explanation:

so your answer is 3, take it or leave it

No way is that an actual question that you have to do for school. I tried solving it, but my calculator can't take much. Plus, I tried counting how many 0's and 5's and 3's and 4's there were but my tiny brain can't remember no matter what.

I am bored, though, so I did take away all of the extra numbers. I got 691,360 from solving 10 x 1695 + 334 x 40.

You're welcome, I guess.

A piece of cardboard has been cut into a rectangle with side lengths represented by 9.5x+14.3y cm and 11.7x+22.8y cm. What is the perimeter of the cardboard in terms of and ?

Answers

Given:

Sides of a rectangle are 9.5x+14.3y cm and 11.7x+22.8y cm.

To find:

The perimeter of the cardboard in terms of x and y.

Solution:

We know that, perimeter of a rectangle is

\(Perimeter=2(length +width)\)

Now,

\(Perimeter=2[(9.5x+14.3y) +(11.7x+22.8y)]\)

On combining like terms, we get

\(Perimeter=2[(9.5x+11.7x) +(14.3y+22.8y)]\)

\(Perimeter=2[21.2x +37.1y]\)

using distributive property, we get

\(Perimeter=2(21.2x) +2(37.1y)\)

\(Perimeter=42.4x+74.2y\)

Therefore, the perimeter of the cardboard in terms of x and y is 42.4x+74.2y cm.

Help me pretty please :(

Help me pretty please :(

Answers

Answer 11pi/3
9pi/3+2pi/3=11pi/3

Answer:

\(\frac{11\pi }{3}\) ≈

11.519173063

Step-by-step explanation:

3\(\pi\) + \(\frac{2\pi }{3}\)

To add or subtract expressions, expand them to make their denominators the same. Multiply 3\(\pi\) times \(\frac{3}{3}\).

\(\frac{3 x 3\pi }{3}\) + \(\frac{2\pi }{3}\)

Since \(\frac{3x3\pi }{y3}\) and \(\frac{2\pi }{3}\) have the same denominator, add them by adding their numerators.

\(\frac{3 x 3\pi + 2\pi }{3}\)

Do the multiplications in 3×3π +2π.

\(\frac{9\pi + 2\pi }{3}\)

Combine like terms in 9π+2π.

\(\frac{11\pi }{3}\)

For which value of k does thematrix
A = [1 k]
[1 -7]
have one real eigenvalue of multiplicity 2?
k = __________?.

Answers

The value of k that makes A have one real eigenvalue of multiplicity 2 is k = 7 + √3 or k = 7 - √3.

To find the eigenvalues of the matrix A, we need to solve the characteristic equation det(A - λI) = 0, where I is the identity matrix and λ is the eigenvalue.

det(A - λI) =
|1-k-λ  k     |
|1    -7-λ  |
= (1-k-λ)(-7-λ) - k(1)
= λ^2 + (k+7)λ + 7k - 1

For A to have one real eigenvalue of multiplicity 2, the characteristic equation must have a double root. This means that its discriminant, (k+7)^2 - 4(7k-1), must be equal to 0.

(k+7)^2 - 4(7k-1) = 0
k^2 + 14k + 49 - 28k + 4 = 0
k^2 - 14k + 53 = 0

Using the quadratic formula, we get:

k = (14 ± √(14^2 - 4(1)(53))) / 2(1)
k = 7 ± √3

Therefore, the value of k that makes A have one real eigenvalue of multiplicity 2 is k = 7 + √3 or k = 7 - √3.

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Match each sequence with the position of its first term that is out of increasing order.

1. 1 5 78 99 101 202 400
2. 5 2 7 90 85 80 72
3. 5 6 9 10 14 21 20
4. 3 7 10 9 8 14 17
5. 5 77 25 45 22 94 58 99

Answers

In summary: Sequence 1 has no term out of increasing order. Sequence 2 has the first term out of increasing order at position 2. Sequence 3 has the first term out of increasing order at position 7. Sequence 4 has the first term out of increasing order at position 4. Sequence 5 has the first term out of increasing order at position 3.

1 5 78 99 101 202 400: This sequence is in increasing order throughout, so there is no term that breaks the increasing pattern.

5 2 7 90 85 80 72: The sequence starts with 5, then decreases to 2 (out of increasing order) at position 2.

5 6 9 10 14 21 20: The sequence is increasing until position 6, where it reaches 21. However, the next term, 20, is lower than the previous term, 21 (out of increasing order) at position 7.

3 7 10 9 8 14 17: The sequence starts with 3 and increases until position 3 (10). However, at position 4, the next term, 9, is lower than the previous term, 10 (out of increasing order).

5 77 25 45 22 94 58 99: The sequence is increasing until position 2, where it reaches 77. However, at position 3, the next term, 25, is lower than the previous term, 77 (out of increasing order).

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Using the number 5,384.7
The digit 7 is in what place value?
Hundreds
Tenths
Hundredths
Tens

Answers

Answer:

Tenths

Step-by-step explanation:

in the diagram below, line AB bisects CD at point E. If CD = 13x-15 and EC=5x+9, find the length of EC and the length of CD

Answers

Answer:

EC = 64

CD = 128

Step-by-step explanation:

AB bisects CD at E. So, EC = ED

EC + ED = CD

EC + EC = CD

2*(EC) = CD

2* (5x + 9) = 13x - 15

2*5x + 2*9 = 13x - 15

10x + 18 = 13x - 15

Subtract 10x from both sides

18 = 13x - 10x - 15

18 = 3x - 15

Add 15 to both sides

18  + 15 = 3x

      33 = 3x

3x = 33

Divide both sides by 3

x =33/3

x = 11

Length of EC = 5x + 9 = 5*11 + 9 = 55 + 9 = 64

CD = 13x - 15 = 13*11 - 15 = 143 - 15 = 128

Complete the proof of the Pythagorean theorem.Given: Δ ABC is a right triangle, witha right angle at ∠CProve: A²+B² =C²Answer:Statement1.ΔABC is a right triangle, with a right angle at ∠C2.Draw an altitude from point C to line AB3.∠CDB and ∠CDA are right angles.4. ∠BCA ≅ ∠BDC5.∠B ≅ ∠B6. ?7. \(\frac{a}{x} = \frac{c}{a}\)8. a² = cx9.∠CDA ≅ ∠BCA10.∠A ≅ ∠A11. ?12. \(\frac{b}{y} = \frac{c}{b}\)13. b² = cy14. a² + b² = cx + cy15. ?16. x + y = c17.a² + b² = c²Reason1. Given2. From a point not on a line, exactly one perpendicular can be drawn through the point to the line.3. Definition of altitude4. All right angles are congruent.5. ?6. AA Similarity Postulate7. ?8. ?9. ?10. ?11.AA similarity Postulate12. ?13. ?14. ?15. Distributive Property16. ?17. ?PLEASE FILL IN ALL THE QUESTION MARKS :)

Complete the proof of the Pythagorean theorem.Given: ABC is a right triangle, witha right angle at CProve:

Answers

In order to fill each missing statement and reason, let's check for the corresponding part of the missing statement or reason.

For example, reason 5 is missing. The statement 5 is reflexive property of congruency.

In the same way, statement 6 is missing, and the reason is AA Similarity Postulate.

Therefore the statement is Triangles CDB and CDA are similar.

Reason 7 comes from the proportion written in statement 7. So the reason is the proportion between corresponding sides in similar triangles is the same.

(or we can write "corresponding sides of similar triangles are proportional)

Reason 8 comes from the cross product in a fraction equation.

Reason 9 is that all right angles are congruent.

Reason 10 is the reflexive property of congruency.

Statement 11 is that triangles BCA and CDA are similar.

Reason 12 is that the proportion between corresponding sides in similar triangles are the same.

Reason 13 is the cross product in a fraction equation.

Reason 14 is the addition of the equations from statements 8 and 13.

Statement 15 is a² + b² = c(x + y)

Reason 16 is point D is on segment AB (therefore AD + DB = AB)

Reason 17 is the substitution from the equation of statement 16 in the equation of statement 15.

9-4(-a+9)+3(7-2a) simplify
a
-2a-6
Pls help

Answers

Answer:

- 2a - 6

Step-by-step explanation:

9 - 4(- a + 9) + 3(7 - 2a) ← distribute parenthesis

= 9 + 4a - 36 + 21 - 6a ← collect like terms

= - 2a - 6

The rabbit population on Park Point in Duluth, MN at time t is modeled by the r(t) = 225 cos pi/3 t + 425 where t is measured in years. ( Park Point, by the way, is reported as the world’s longest freshwater sand spit) What is the maximum number of rabbits on Park Point during a population cycle?


1. What is the maximum number of rabbits on Park Point during a population cycle?

2. How long is the population cycle?

3. Find the approximate number of rabbits on the island after 3.2 years

Answers

Using the senoidal function, it is found that:

1. The maximum number of rabbits on Park Point during a population cycle is of 650.2. The population cycle is of 3 years.3. The approximate number of rabbits on the island after 3.2 years is 205.

Senoildal function:

The function that models the population after t years is given by:

\(r(t) = 225\cos{\left(\frac{\pi}{3}\right)t} + 425\)

Item 1:

The cosine function varies between -1 and 1, hence, considering it equals to 1:

\(r_{MAX} = 225 + 425 = 650\)

The maximum number of rabbits on Park Point during a population cycle is of 650.

Item 2:

The period of a cosine function \(\cos{\frac{2\pi}{T}}\) is T.

In this problem, T = 3, hence:

The population cycle is of 3 years.

Item 3:

\(r(3.2) = 225\cos{\left(\frac{\pi}{3}\right)3.2} + 425 = 205\)

The approximate number of rabbits on the island after 3.2 years is 205.

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A man buy a houe for $175,000. He make a $75,000 down payment and amortize the ret of the debt with emiannual payment over the next 10 year. The interet rate on the debt i 12%, compounded emiannually. FInd: (a) the ize of each payment, (b) the total amount paid over the life of the loan, and (c) the total interet paid over the life of the loan

Answers

a) The size of each payment = $8718.4

b) The the total amount paid for the purchase = $204620.8

c) The total interest paid over the life of the loan = $104620.8

In this question we have been given that a man buys a house for $175,000. He makes a $75,000 down payment and amortizes the rest of the debt with semiannual payment sover the next 10 years. The interest rate on the debt is 12%, compounded semiannually.

We need to find the size of each payment, the total amount paid for the purchase and the total interest paid over the life of the loan.

From given data we get 175,000 - 75,000 = $100,000 amount to finance.

We know that the formula for semiannual payment of a loan,

C = PV/[1 - (1 + r)^-t / r]

Here, PV = $100,000

t = 20 (10 years times 2 payment per year)

r = 0.06 (12% annual. so, we divide by 2 to get semiannual)

So, C = 100,000/[1 - (1 + 0.06)^-20 / 0.06]

C =  100,000/[0.6882 / 0.06]

C = 100,000/11.47

C = $8718.4

The total interest paid will be the cuota times the time of the loan:

Total interest paid:

8718.4 x 12 = 104620.8

And the total amount paid over the life of the loan = 104620.8 + 100,000

                                                                                    = $204620.8

The interest will be the difference between the total amount paid and the principal of the loan

Therefore, Interest paid = $8718.4

total payment   = $204620.8

principal = $100,000

Interest expense = $104620.8

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Given x = -25, y = 3

x + y + 5 = ?

Answers

Answer:

-17

Step-by-step explanation:

Basically -25+8 which equals -17

-17
Make everything come their regular form
X=-25+y=3+5
-25+8
Since -25 is the biggest number keep the sign and subtract so the answer is -17

How many different 4-digit PIN codes are there that only include the digits 4, 5, 7, 8 and 6
if each of those digits is only allowed to be used once?

Answers

Answer:

Available Digits = 4 (1, 2, 3 , 4)

Step-by-step explanation:

Now, if the digits can be used only once, it is a case of permuting 4 things out of 4 things i.e. 4P4=24ways

Alternatively, the units place can be filled in 4 ways, tens place can be filled in 3 ways, hundreds place can be filled in 2 ways and thousands place in 1 way.

So, TOTAL=4×3×2×1=24

HOPE IT HELPS

Let V(t) represent the value of a bank account, in thousands of dollars, t years after the account is opened at the bank. Determine whether each statement below is true. Select True or False for each statement. V(0) = 2 means that the value of the bank account when it is opened is $2000 V(5) = 2.2 means that 2.2 years after the bank account is opened, its value is $5000 V(10) – V(5) = 0.4 means that the bank account grows by $400 between 5 and 10 years after its opening

Answers

Answer: true false false

Step-by-step explanation:

find the value of x ​

find the value of x

Answers

Answer:

x = 68°

Step-by-step explanation:

∠ DCB = ∠ EDC = 27° ( alternate angles )

Thus ∠  ECB = 23° + 27° = 50°

The sum of the 3 angles in a triangle = 180°, thus

x = 180° - (62 + 50)° = 180° - 112° = 68°

Answer:

68°

Step-by-step explanation:

DE ║ BC

So, ∠DBC = ∠ADE = 62° (∵ Corresponding Angles are equal )

In triangle DEC ,

∠EDC+ ∠ECD = ∠AED (∵ Exterior Angle Sum Property of a triangle )

⇒ ∠AED = 23° + 27° = 50°

Now in triangle AED ,

∠EAD + ∠ADE + ∠AED = 180°

⇒ x° + 62° + 50° = 180°

⇒x° = 180° - 112° = 68°

PLEASE HELP ME SOLVE THIS. Find the value of x and y. Round your answer to the nearest tenth. ​

PLEASE HELP ME SOLVE THIS. Find the value of x and y. Round your answer to the nearest tenth.

Answers

sin20 = x/5
5sin20 = x

x = 1.71

cos20 = y/5
5cos20 = y

y = 4.70

Hope this helps.

can someone post the back of the paper on Quiz 3-1 Parallel Lines, Transversals, and Special Angle Pairs

Answers

The following statements are true:

Segment DEF is parallel to ABC

The line segment  AB is parallel to DE

Line FC is parallel to AD

the line that is skewed to DE is BC

What is geometry?

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

The given diagram is a triangular prism. From the diagram, some of the sides are parallel to each other (that is facing each other directly)

Some of the lines are also parallel to each other. From the given diagram, the sides that are parallel to each other are;

DEF is parallel to ABC

CADF is parallel to CBEF

For the lines, the lines that are parallel to each other are:

AD is parallel to BE

AB is parallel to DE

FC is parallel to AD

Skew lines are straight lines that do not intersect and are not in the same plane. Hence the line that is skewed to DE is BC

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can someone post the back of the paper on Quiz 3-1 Parallel Lines, Transversals, and Special Angle Pairs

x y
-4 0
0 3
4 6

what's the slope

Answers

Answer:  Slope is 0.75 (3/4)

Step-by-step explanation:

The slope is the Rise/Run:  The change in y for a change in x.  We can pick any two points and calculate the slope.  I'll use (-4,0) and (4,6):

Rise (change in y):  6-0 = 6

Run (change in x): 4-(-4) = 8

Rise/Run (slope) = 6/8 or 3/4 or 0.75

Th y-intercept is 3 (from point (0,3).

The equation is y=(3/4)x+3  (graph attached)

x y-4 00 34 6what's the slope

Can someone pls pls help me with the middle one im struggling :( TYSM IF U DO!

Can someone pls pls help me with the middle one im struggling :( TYSM IF U DO!

Answers

Answer:

900 people

Step-by-step explanation:

540 / 60 = 9

10% = 9

9 x 100 = 900 people

Hope that helps!

Answer: 900

Explanation:

Plant cells and animal cells were observed under a microscope. The characteristics of two cells are listed below.

Cell A: Has a cell wall
Cell B: Has chloroplast

Which statement about the two cells is correct?

Both cells are plant cells.
Both cells are animal cells.
Cell A is a plant cell and Cell B is an animal cell.
Cell A is an animal cell and Cell B is a plant cell.

Answers

Answer:

The answer is Cell A is a plant cell and Cell B is a plant cell because plant cells have cell walls and they also a chloroplast

Step-by-step explanation:

I really hope this helps

Answer: the first one

Step-by-step explanation: "Both cells are plant cells."

8th grade math, please help.

8th grade math, please help.

Answers

Answer:

∠x = 16°

Step-by-step explanation:

∠x = 180° - (180° - 16°) = 16°

Answer:

16° because alternative exterior angles are equal

Find equations of the normal plane and osculating plane of the curve at the given point.
x = 5t, y = t^2
, z = t^3
; (5, 1, 1)
(a) An equation for the normal plane is
O 5x + 2y + 3z = -30
O 30x + 2y + 3z = 30
O 5x + 3y + 2z = 30
O 5x + 2y + 3z = 30
O 5x + 2y - 3z = 30
b) An equation for the osculating plane is
O 3x - 15y + 5z = 5
O 3x - 15y + 5z = -5
O x - 15y + 3z = 5
O 3x - y + 3z= 5
O 3x - 15y + 5z = 15

Answers

Answer:

Step-by-step explanation:

To find the normal plane and osculating plane, we first need to find the required derivatives.

x = 5t, y = t^2, z = t^3

dx/dt = 5, dy/dt = 2t, dz/dt = 3t^2

So, the velocity vector v and acceleration vector a are:

v = <5, 2t, 3t^2>

a = <0, 2, 6t>

Now, let's evaluate them at t = 1 since the point (5, 1, 1) is given.

v(1) = <5, 2, 3>

a(1) = <0, 2, 6>

The normal vector N is the unit vector in the direction of a:

N = a/|a| = <0, 1/√10, 3/√10>

Using the point-normal form of the equation for a plane:

normal plane equation = 0(x-5) + 1/√10(y-1) + 3/√10(z-1) = 0

Simplifying this equation we get:

5x + 2y + 3z = 30

The osculating plane can be found using the formula:

osculating plane equation = r(t) · [(r(t) x r''(t))] = 0

where r(t) is the position vector, and x is the cross product.

At t = 1, the position vector r(1) is <5, 1, 1>, v(1) is <5, 2, 3>, and a(1) is <0, 2, 6>.

r(1) x v(1) = <-1, 22, -5>

r(1) x a(1) = <12, -6, -10>

v(1) x a(1) = <-12, 0, 10>

Substituting these values into the formula, we get:

osculating plane equation = (x-5, y-1, z-1) · <12, -6, -10> = 0

Simplifying this equation we get:

3x - 15y + 5z = 5

Therefore, the equations for the normal plane and osculating plane at (5, 1, 1) are:

(a) 5x + 2y + 3z = 30

(b) 3x - 15y + 5z = 5

Factor 2x2 - 10x + 8 completely.
a. 2(x + 2)(x - 2)
b. 2(x-2)(x + 4)
c. 2(x - 1)(x-4)​

Answers

Answer:

c. 2(x-1)(x-4)

Step-by-step explanation:

c. 2(x-1)(x-4)

A chair sold for $120 after it was reduced by 1/4 of the original price. What was the original price?

Answers

It would be $480. If it was sold at $120 and was reduced by 1/4, you would multiply 120 by 4, giving you 480.

The distance between Lincoln, NE, and Boulder, CO, is about 500 miles. The distance between Boulder, CO, and a third city is 200 miles.

A map of the United notes.

Assuming the three cities make a triangle on the map, which values represent the possible distance, d, in miles, between Lincoln, NE, and the third city?


< d

Answers

The values that represent the possible distance, d, in miles, between Lincoln, NE, and the third city are given as follows:

300 < d < 699.

When does a set of three measurements can represent a triangle?

A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.

The measurements for this problem are given as follows:

500 miles.200 miles.x miles.

Then if 500 miles is the largest distance, we have that:

x can be between 300 and 500.

If x is the largest distance, we have that:

x can be between 501 and 699.

Then the range of possible distances is given as follows:

300 < d < 699.

(which are the distances for each case).

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Answer:

see picture

Step-by-step explanation:

The distance between Lincoln, NE, and Boulder, CO, is about 500 miles. The distance between Boulder,

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution.

Answers

The standard normal distribution  becomes smaller.

What is standard deviation?

Your dataset's average level of variability is represented by the standard deviation. It reveals the average deviation of each statistic from the mean. A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.Think about the following data: 2, 1, 3, 2, 4. The average and the sum of squares representing the observations' variances from the mean will be 2.4 and 5.2, respectively. This means that (5.2/5) = 1.01 will be the standard deviation.

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

becomes smaller.

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Calculate the final price. Round all answers to the hundredths place and make sure to write your answer in the form of $12.34. Video Game: $60, Discount: 40%

Calculate the final price. Round all answers to the hundredths place and make sure to write your answer

Answers

The final price will be:

\(p=(60)-(60)(0.4)\Rightarrow p=36\)

So, the final price of the game is $36.00.

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