A probability calculator is required on this problem; answer to six decimal places. Suppose we will flip a fair coin 100 times. Using a calculator, find the probability of getting between 42 and 58 heads (inclusive) in two ways: By a Normal approximation: 0.910869 Exactly: 0.920609 How far off is the Normal approximation

Answers

Answer 1

Answer:

0.910870.911374 0.000504

Step-by-step explanation:

Number of toss  ( n ) = 100

probability of a head  in 1 toss ( p ) = 0.5

Hence : np = 100 * 0.5 = 50 > 5, also  n( 1-p) = 50 > 5

mean value ( μ ) = np  = 50

std = √ n(p)(1-p) = √100(0.5)(0.5) = 5

Using Normal approximation

P( 42 ≤ x ≤ 58 ) = P ( 42-0.5 ≤ x ≤ 58 + 0.5 )

= P( (41.5 - 50) / 5 < Z < (58.5 - 50) / 5 )

= P ( -1.7 < Z < 1.7 )

= 0.91087

Using Calculator to get the exact value

P( 42 ≤ x ≤ 58 ) = 0.911374

How far off is the Normal distribution (Absolute value of error )= | 0.911374 -  0.91087 |  = 0.000504


Related Questions

In the figure below, what is the measure of _x?
30
х
O A. 70°
OB. 300
o C. 60°
D. 90°

Answers

Answer:

50

Step-by-step explanation:

The sum of angle on a straight line is 180degres, hence;

X+3+x+20+x+7 = 180

3x+30=180

3x=180-30

3x = 150

X = 150/3

x = 50

Hence the value of x is 50

Given that (-3,-1) is on the graph of f(x), find
the corresponding point for the function
f(x-3).
Enter the correct answer.
OOOO
DONE
Clear all
00
G2

Answers

I think it’s b and c

MATH PLEASE HELP
Paul wants to put a fence around his vegetable garden in the backyard. The price of fencing is $1.65 per linear foot. Given a diagram of his vegetable garden below, how much will it cost him for the fencing?​​

Answers

Answer:

total perimeter =14+23+9+11+23-11=69cm×1/30=2.3ft

total cost =perimeter ×rate=2.3×1.65=$3.795

Answer:

The perimeter of a rectangle is 2L + 2W, where L and W are the length and width, respectively. The dimensions of the garden are given, 6 x 12 ft.

Step-by-step explanation:

hope it help :):):):):):)

Write the equation for the line that passes through the points (3, 18) and (-3,0)

Answers

y= 3x + 9 hope this helpsssssssss

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!

Answers

Hello!

We are given that lines A and B are parallel lines cut by a transversal, and we are comparing the angles of 7 and 2.

We can see immediately that they are alternate exterior angles, because they are on opposite sides of the transversal, and they are on the exterior of the two parallel lines being cut.

According to the Alternate Exterior Angle Theorem, when two parallel lines are cut by a transversal, the resulting exterior angles are congruent, meaning that they are of the same angle measure.

So when it is given that the measure of Angle 7 is 115 degrees, we can conclude that the measure of Angle 2 is 115 degrees as well.

Hope this helps!

Replacing only the minimum value in a data to a smaller number will also change the mean

A.always

B. Sometimes

C.never true​

Answers

Don’t click the link in the other answer. The answer is b
Sometimes


Explanation

how do i find the polar form of
1-2i

Answers

Answer:

9

Step-by-step explanation:

can someone pls help me

Answers

Answer:

arc EFC = 237°

Step-by-step explanation:

arc DEF = 140°

arc EF = 140° - 83° = 57°

arc DC = arc FG

arc DC = (360° - 140° - 140°)/2 = 40°

arc EFC = arc CG + arc FG = arc EF = 140° + 40° + 57° = 237°

find the product
X5.X4.X3 ​

Answers

Answer:

= X¹²

Step-by-step explanation:

According to law of indices

a^m * a^n = a^{m+n}

Hence;

X5.X4.X3 ​

= X⁵⁺⁴⁺³

= X¹²

Note that all the powers are added since it is multiplication

Luna's dining room is 19 feet wide and 22 feet long. Luna wants to install wooden trim
around the top of the room. The trim costs $0.06 per foot. How much will it cost Luna to buy
enough trim?

Answers

9514 1404 393

Answer:

  $4.92

Step-by-step explanation:

The cost is found by multiplying the number of feet by the cost per foot. The number of feet is the perimeter of the dining room, the sum of the lengths of all the sides.

There are two sides of the rectangular room that are 19 feet, and two sides that are 22 feet, so the total length of trim is ...

  P = 2(L +W) = 2(22 ft + 19 ft) = 2(41 ft) = 82 ft

The cost is then ...

  cost = ($0.06/ft)(82 ft) = $4.92

It will cost Luna $4.92 to buy enough trim.

any app where I can take pics of WORD PROBLEMS and get answers​

Answers

Answer:

well I know one you can try SOLVEITNOW

you can also try MICROSOFT MATH SOLVER

or CYMATH-MATH PROBLEMS SOLVER

If you flip a coin 92 times, what is the best prediction possible for the number of times it will land on tails?

Answers

Answer:

Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2. Each is 1/2 x 1/2 = 1/4.

Step-by-step explanation:

Answer:

1/4 of 92 = 23 Hope this helps

Helpp!!! I’ll mark as brainlistt

Answers

Your answer is 78.5!

What is Landscape evolution theory

Answers

Answer:

Landscape evolution theories indicate that the topography inherently records the interaction between climatic, tectonic, and surface processes. Consequently, geological and topographic information can be used to assess erosion and topographic evolution.

Step-by-step explanation:

hopes this helps

have a good day :)

Can someone please help me with this problem?

Answers

Answer:

1120 cm^3

Step-by-step explanation:

Volume of the ice cube = B * h

B = 20 cm^2

h = 4 cm

Volume = 20 * 4 = 80 cm^3

This volume is for one cube holder in the tray.

There are  7 * 2 such holders

There are 14 holders

Total volume of the holders =

14 * 80 =

1120 cubic cm

Pls answer just the answer

Answers

Answer:

588000

Step-by-step explanation:

if i am wrong pls tell me cause i think there's a different answer gl g

Answer:

$103,421.88

Step-by-step explanation:

Given:

P = 70000

r = 0.05

n = 1

t = 8

Work:

[tex]A=P(1+\frac{r}{n} )^{nt}\\\\A=70000(1+\frac{0.05}{1} )^{1*8}\\\\A=70000(1.05)^8\\\\A=103421.88[/tex]

Linda is making a line plot of the data below. 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 Which line plot represents the data correctly?

( PLEASE HELP!!) ASAP
I'LL GIVE 70 POINTS IF CORRECT!!

Answers

Answer:

The line plot which has plots at the points 11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12 and a slope-line which goes roughly through the middle/mean of the points.

Step-by-step explanation:

Can someone help me please?

Answers

Answer:

I love pizza math  :P

Step-by-step explanation:

column 1           column 2

2/3                          2/5

1/4                           3/4

1/3                           4/5

1/2                           1/6

Is it time for pizza now?  :P

There are 20 pieces of fruit in a bowl and 5 of them are apples. What percent of the fruit are apples?

Answers

Answer:  25%

Step-by-step explanation:

Total pieces=20

apple pieces=5

 =apple pieces/total pieces

=  5/20

for %age multipilying with 100

= 0.25×100

=25 percent

Can someone put true or false? Please make sure you answer is correct and label them like this:
1. answer here
2. answer here
3. answer here
4. answer here
(actually put the answers) will mark as brainly if it is helpful to me. Ty

Answers

1. true.
2. false.
3. false.
4. true.

these should be correct.

85% of x is 51. Write an equation that represents the situation.

Answers

Answer:

85/100*x=51

Step-by-step explanation:

85x=5100

Calculate the slope of the line using two points.

Question 1 options:

-1/4


1


-4


1/4

Calculate the slope of the line using two points.



Question 2 options:

1


2


4


1/4
Calculate the slope of the line using two points.



Question 3 options:

1/3


2/3


3/2


3

Question 4
Calculate the slope of the line using two points.



Question 4 options:

1/3


2/3


3/2


2

Answers

Kkkxudnekbdjxidbeidbxkdbndixbd

help me please i will give you brainliest

Answers

Answer:

its b!

please brainliest

Tina walks 1/2 mile in each 1/3 hour.

What is Tina's walking rate?


6 miles per hour

5 miles per hour

3/2 miles per hour

16 mile per hour

Answers

Answer:

6 mile per hour

Step-by-step explanation:

Tina runs 3/2 miles in an hour and it is her walking rate.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Tina walks 1/2 mile in each 1/3 hour.

So, Tina's walking rate is the distance she runs in an hour which is,

In (1/3)×3= 1 hour she runs (1/2)×3 = 3/2 miles.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ2

An airplane is flying from New York to Los Angeles.

Answers

Answer:

yes in what can I help you

PLEASE HELP- VKLFNJOF:L

Answers

Answer:

−4m + 10

Step-by-step explanation:

Combine Like Terms:

= 6m + 10 + −10m

= (6m+−10m) + (10)

= −4m + 10

Hope it helped.

Subtract 10m from 6m.
Answer:
−4m + 10
Hope this helps, have a good one ^,^

Help me with this question. Thx!

Answers

what the person said above me ( a function)

Please help I’ll mark you as brainliest if correct!

Answers

Answer:

oh, easy it’s 25:)

Step-by-step explanation:

Use the Distributive Property to simplify the expression: 9(5x - 3)


HEPPPPP

Answers

When using the distributive law
answer is: 45x-27

A particular curve is represented parametrically by x=cost, y=−sint, t∈[0,2π]. (a) As t increases on [0,2π], in which direction is the point (x(t),y(t)) moving? the movement is clockwise (b) What is the corresponding Cartesian equation for this curve (the equation in x and y only)? Cartesian equation: functionsequation editor =0. Note! xyy=x2+1y−x2−1=0y−x2−1 (c) Give the smallest and largest values of y taken by this curve functionsequation editor ≤y≤ functionsequation editor .

Answers

Answer:

a) clockwise sense

b)  x² + y² = 1

c) y ∈ [0,1]

Step-by-step explanation:

a) x = cos (t)       y = -sin (t)

for t ∈ [ 0 , 2π ]

for t = 0   point  P  is    x = cos (0)   =  1   y = -sin (0)   y = 0

The point is on the x axis

Now let´s see what happens for t = π/4  

x = cos (π/4)    x = √2/2    and   y = - sin (π/4)    y = - √2/2

Note  π/4 is 45°

The coordinates of the new point P ´(t = π/4) are in the fourth quadrant

that means the point is moving clockwise sense.

b) x = cos(t)

   y = -sin(t)

Squaring on both sides of each equation we get:

x²  = cos²t

y²  = sin²(t)

Adding side by side

x²  +  y² = cos²t  + sin²t

x²  +  y² = 1

Values for y are    y  ( 0 , 1)

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