A weighted (unfair) die that was purchased at a magic shop was rolled 30 times. The die landed on five dots 25 times. Based on the results, what is the margin of error for the true proportion of times this die would land on five dots? Base your margin of error on a 95% confidence level.

Answers

Answer 1

Using the z-distribution, it is found that the margin of error for the true proportion of times this die would land on five dots is of 0.1338.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

The estimate and the sample size are given as follows:

[tex]\pi = \frac{25}{30} = 0.8333, n = 30[/tex].

Hence the margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]M = 1.96\sqrt{\frac{0.8333(0.1667)}{30}}[/tex]

M = 0.1338.

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Related Questions

Please help Khan Academy is due soon and I must FINISH!!!!!

Answers

When you distribute, you independently multiply each term inside the parentheses by the term outside the parentheses.

So

6 x 7 = 42

and

6 x -4n = -24n

So the final answer is: 42 - 24n

*You cannot combine this answer any further since you are subtracting an unknown variable (n) from a number.

7th grade math perimeter!!! Help

Answers

Answer:30.28 cm^2

Step-by-step explanation: area of the rectangle = 6x4 = 24

area of semicircle -> (πr^2)/2

radius of semcircle = 4/2 = 2

area of this question semicricle = (π2^2)/2

= 6.28 (3 s.f.)

total area = 24+6.28 =30.28 cm^2

remember put units ^^

6.RP.A.3.C
A dress costs $63. If the store is
having a 20% off sale, how much does
the dress cost now?

Answers

Answer:

$50.40

Step-by-step explanation:

20% of 63 is 12.5 so subtract that from the price of 63 for the answer of 50.4

Use the information in the table to find the indicated probability.
Number of Degree Recipients at a Local College
Degree Male Female
Associate's 224 387
Bachelor's 547 776
Advanced 245 322
Find P(the recipient is male).

Answers

Using it's concept, it is found that the desired probability is given as follows:

P(the recipient is male) = 0.4242 = 42.42%.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, there was a total of 224 + 387 + 547 + 776 + 245 + 322 = 2501 recipients, out of which 224 + 547 + 245 = 1016 are males, hence the probability is given by:

P(the recipient is male) = 1016/2501 = 0.4242 = 42.42%.

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ayuda plis /help please ​

Answers

Answer:

a. 8

b. -12

c. 18

d. -22

e. 14

f. -2

g. -16

creo q seria asi no estoy muysegurappp

Anna cooks 12 cups of tomato soup in a large pot. She fills 4 bowls with 10 fluid ounces of soup each from the pot. How many cups of soup are left in the pot?
Hint: There are 8 fluid ounces in 1 cup.

Answers

Answer:

68 cups

Step-by-step explanation:

You must divide then multiply the reciprocal

A line passes through (- 1, 1) and (3,9).
What is the equation of the line in slope-intercept form?
O y = x + 6
O y = 2x + 3
O y = x + 2
O y = 2x + 9

Answers

Answer:

y = 2x + 3

Step-by-step explanation:

Hi there!

We are given the points (-1, 1) and (3,9) which belong to a line

We want to write the equation of the line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, let's find the slope of the line

The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

Let's label the values of the points before we start, to avoid confusion and mistakes

[tex]x_1 = -1\\y_1=1\\x_2=3\\y_2=9[/tex]

Now substitute into the formula (note: the formula has SUBTRACTION, and we have NEGATIVE numbers, so we'll end up subtracting a negative)

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

m = [tex]\frac{9-1}{3--1}[/tex]

Simplify

m=[tex]\frac{9-1}{3+1}[/tex]

m=[tex]\frac{8}{4}[/tex]

Divide

m = 2

The slope of the line is 2

We can substitute this as m in y=mx+b.

y = 2x + b

Now we need to find b

As the equation passes through the point (-1, 1) and (3, 9), we can use either point to help solve for b.

Taking (3, 9) for example:

substitute 3 as x and 9 as y.

9 = 2(3) + b

Multiply

9 = 6 + b

Subtract 6 from both sides

3 = b

Substitute 3 as b in the equation

y = 2x + 3

Hope this helps!

Topic: finding the equation of the line

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PLEASE HELP!!!! IMA DESPRATE!!!!!!!!Find the second term in the sequence defined by an = −5(n2 + 1n).

Answers

The second term of the given sequence aₙ = -5(n² + 1n) when solved gives us; a₂ = -20

How to find the nth term of a sequence?

We are given the formula for a sequence as;

aₙ = -5(n² + 1n)

Where n is the position of the term.

Now, for the first term, we will have;

a₁ = -5(1² + 1(1))

a₁ = -10

The second term of the sequence is;

a₂ = -5(2² + 1(2))

a₂ = -20

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A total of 249 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was two times the number of adult tickets sold. How many adult tickets were sold?

Answers

Answer:

83

Step-by-step explanation:

The probability distribution for a
random variable x is given in the table.
X
-5 -3 -2 0
2 3
Probability .17
.13
.33 .16 .11
.10
Find the probability that x ≤ 0

Answers

Answer:

[tex]P(x\leq 0)=0.37[/tex]

Step-by-step explanation:

[tex]P(x\leq 0)= P(0)+P(2)+P(3)P(x\leq 0)= 0.16+0.11+0.10\\P(x\leq 0)=0.37[/tex]

Answer: 0.79

Step-by-step explanation:

A shark spotter is standing at lookout point 25m above the waters edge. He spots a shark in the water at an angle of depression of 50. If the swimmer that is also in the water is sim from the foot of the lookout spot, how far is the shark from the swimmer?​

Answers

The shark is 29.78 from the swimmer.

What is angle of depression?

Angle of depression is the angle between the line of sight and the vertical or perpendicular to the earth surface.

Analysis:

The height of the lookout, the distance of shark from swimmer and line of sight form a right angle triangle.

So that, tan 50 = distance of shark from swimmer/25

Distance of swimmer = 25 tan 50

Distance of swimmer from shark = 25(1.1910 = 29.78m

In conclusion, the distance of the shark from the swimmer is 29.78m

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The distance of the shark from the swimmer is 21m

Trigonometry

From the question, we are to determine the distance the shark is from the swimmer

In the diagram,

S is the position of the shark

M is where the shark spotter is standing

and B is the position of the swimmer

The distance between the shark and the swimmer is /BS/

Using SOH CAH TOA

[tex]tan 50^\circ = \frac{25}{/BS/}[/tex]

[tex]1.19175 = \frac{25}{/BS/}[/tex]

∴ [tex]/BS/ = \frac{25}{1.19175}[/tex]

/BS/ = 20.97755

/BS/ ≅ 21 m

Hence, the distance of the shark from the swimmer is 21m.

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PLEASE HELPPPPP IM OFFERING 100 POINTS

Answers

Answer:

36

Step-by-step explanation:

The angles of the triangle are equal.

Hence, the sides of the triangle must also be equal.

It is an equilateral triangle.

Equating JK and KL :

2x + 24 = 10x - 2410x - 2x = 24 + 248x = 48x = 6

Finding KL :

KL = 10(6) - 24KL = 60 - 24KL = 36

All angles are equal means all sides are equal

2x+24=10x-2424+24=10x-2x48=8xx=48/8x=6

KL

10x-2410(6)-2460-2436

A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length FH.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
28
53
117

Answers

Answer:

  FH = 108

Step-by-step explanation:

The given figure requires we use the Pythagorean theorem to write two relations involving right triangle side lengths. The Pythagorean theorem tells us the square of the hypotenuse is the sum of the squares of the other two sides.

__

Triangle EGH:

  EG² = GH² +HE²

  GH² = EG² -HE² = 53² -28² = 2025 . . . . . solve for GH², use given values

Triangle FGH:

  FG² = GH² +FH²

  FH² = FG² -GH² = 117² -2025 = 11664 . . . . solve for FH², use known values

  FH = √11664 = 108 . . . . . take the square root

The length FH is 108.

What is the Area and Perimeter??? PLEASE HELP

Answers

Answer:for area you times them and for perimiter you add

Step-by-step explanation:

hope you understand

Is 12 , 7 , 2 , -3 ... an arithmetic sequence ?

Answers

Answer:

Yes, you subtract 5 every time

You might need:
Calculator
f(t) = 2 + 19t + 60
1) What are the zeros of the function?
Write the smaller t first, and the larger t second.
smaller t=
larger t =
2) What is the vertex of the parabola?

Answers

Here is the answer (look at the photo)

NO LINKS!!

VWXYZ ~ IJKGH. Find HI, GK, AND JK.

Answers

Answer:

HI = 35

GK = 45

JK = 25

Provided:

VWXYZ ≅ IJKGH

Given proportional sides:

GH = 30, YZ = 36

Find the scale factor:

30/36 = 5/6

Find missing sides:

1) HI = ZV × 5/6 = 42 × 5/6 = 35

2) GK = XY × 5/6 = 54 × 5/6 = 45

3) JK = WX × 5/6 = 30 × 5/6 = 25

Answer:

HI = 35

GK = 45

JK = 25

Step-by-step explanation:

If VWXYZ ~ IJKGH

Then:

VW ~ IJ  WX ~ JKXY ~ KGYZ ~ GHZV ~ HI

YZ and GH is the only pair of corresponding sides for which we have been given the lengths:

YZ = 36  and GH = 30

Therefore,

VWXYZ : IJKGH = 36 : 30 = 6 : 5

Find HI

  ZV : HI = 6 : 5

⇒ 42 : HI = 6 : 5

⇒ 42/HI = 6/5

⇒ 42 · 5 = 6 HI

⇒ HI = 210/6

HI = 35

Find GK

   YX : GK = 6 : 5

⇒ 54 : GK = 6 : 5

⇒ 54/GK = 6/5

⇒ 54 · 5 = 6 GK

⇒ GK = 270/6

GK = 45

Find JK

   WX : JK = 6 : 5

⇒ 30 : JK = 6 : 5

⇒ 30 /JK = 6/5

⇒ 30 · 5 = 6 JK

⇒ JK = 150/6

JK = 25


Evaluate 2x-5x+ 12
when x = -2

Answers

Answer:

2(-2)-5(-2)+12

-4-(-10)+12

6+12

18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

2(-2)-5(-2)+12

-4+10+12

=18

Hope this helps! ;-)

25x^4-8y^4 is not the difference of two squares. Identify the correct explanation for this statement.

Answers

Answer:

8y4 is not a perfect square.

Step-by-step explanation:

Knowing that; A difference of two perfect squares,  A2 - B2  can also be factored into  (A+B) • (A-B)

Verification;

(A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Notes;

AB = BA is the commutative property of multiplication.

AB + AB equals zero and is therefore eliminated from the expression.

Answer:

25  is the square of  5

8 is not a square

Find the length of each arc. Round your answers to the nearest tenth.
5 m
285
Cuál es la respuesta???math

Answers

The length of the arc with a central angle of 285 degrees and a radius of 5 meters is 24.9 meters

How to determine the arc length?

The given parameters are:

Central angle = 285Radius, r = 5 m

The length of the arc is calculated using:

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

So, we have:

L = 285/360 * 2 * 3.14 * 5

Evaluate

L = 24.9

Hence, the length of the arc is 24.9 meters

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Use Pythagorean Theorem to solve for x. Show all work. Keep all answers in simplified
radical form.

Answers

Step-by-step explanation:

a^2 +b^2 = c^2

8^2 +4^2= c^2

64 + 16= c^2

80= c^2

take square root of both sides and you get

c=8.94

Find th areas and circumference 5 cm 2 cm

Answers

Answer:

The Area is 10cm, and the perimeter is 14cm

Step-by-step explanation:

Area:

a = w · l    5cm · 2cm =10cm

Perimeter:

p = 2(l+w)  2(5 + 2) = 14

please help me fast as you can ​

Answers

(i) 47 * 1 = 47

Why? This is because the Multiplication Identity Property states that any number w multiplied by 1 is equal to w

(ii) 135 * 0 = 0

Why? The Zero Property of Multiplication states that 0 multiplied by any number is 0.

(iii) 3 * 5 = 5 * 3

Why? The order numbers are multiplied in does not impact the answer's value according to the Commutative Property of Multiplication

(iv) 7 + 0 = 7

Why? The Zero Property of Addition states that 0 added to any number x is equal to x

(v) 125 * 315 - 125 * 215 = 125 * (315 - 215) = 12500

Why? The Distributive Property states that a * c - a * b = a * (c - b).

which is a solution to x - 3x + 9 equals negative 27

Answers

Answer:

x = 18

Step-by-step explanation:

[tex]\sf x - 3x+9= - 27[/tex]

Let's first combine like terms.

[tex] \sf - 2x+9= - 27[/tex]

Subtract 9 from both sides.

[tex]\sf - 2x= - 27 - 9[/tex]

[tex] \sf - 2x= - 36[/tex]

Divide both sides by −2.

[tex]\sf x=18[/tex]

I really need help on this one

Answers

Answer:

-3x+9y=-57

Substitute the x for 4

-3(4)+9y=-57

-12+9y=-57

Add +12

-12+9y=-57

+12 +12

9y=-45

Now divide the 9 to get y by itself

9y=-45

÷9 ÷9

y=-5

So the value of y is -5

☆anvipatel77☆

•Expert•

Brainly Community Contributor

ABC School has 150 students enrolled who do not speak English. It is also known that 6/7 of the students can recognize all 26 letters. How many students still needs to learn the entire alphabet? Type your answer to the nearest whole number.

Answers

Answer:

about 21 students

Step-by-step explanation:

total students: 150 students enrolled

recognize all letters: 6/7 of the students

To find 1/7 of the students: divided the 150 by 7

150/7 = 21.4285           this is for 1/7th of students

since 1/7th of the students need to learn the alphabet (7/7 - 1/7 = 6/7)

OR

150/7 = 21.4285           this is for 1/7th of students

150/7 x 6 = 128.57        this is for 6/7th of students

150 - 128.57 = 21.4285

Angle θ is in standard position. if sin(θ) = − 1/3, and π < θ < 3π/2 , find cos(θ).
A. -(2√2)/3
B.4/3
C.2√2/3

Answers

Answer:

Step-by-step explanation:

[tex]sin^2({ \theta})+cos^2({ \theta})=1\\cos({ \theta})=-/+\sqrt{1-sin^2({ \theta})} \\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} \\ --- > sin({ \theta})=\frac{1}{3} (known)\\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} =-\sqrt{1-(-\frac{1}{3})} =-\sqrt{\frac{9-1}{9}} =-\frac{2x^{2} }{3}[/tex]

Give a real-life situation for the sum. (will mark brainiest!!)

Answers

Answer:

Jeff is 15 years younger than Joe who is 10

Step-by-step explanation:

A frame contains 4 pounds of gold. Suppose gold is worth $1277 per ounce. How much would the gold in the frame be worth?

Answers

Answer:

81728

Step-by-step explanation:

1 libra tiene 16onz, entonces 16 onz* 1277 dolares =20432*4=81728  

• footballs – There are 8 footballs.
• basketballs – Two more than twice the number of footballs are
basketballs.
• baseballs – Four less than 5 times the number of footballs are
baseballs.
• softballs – Six more than half of the baseballs are softballs
Type of Ball
Numerical Expression for the Number of Balls
Total Number of
Each Type of Ball
football (given) 8
basketball
baseball
softball
Mainly need the last part (Numerical Expression for the Number of Balls)

Answers

Answer:

8 futballs

basketballs 18

beisballs 36

softballs 24

Step-by-step explanation:

dos mas del doble (2) de balones de fut = 8x2 = 16, 16+2 = 18

cuatro menos de 5 veces las pelotas de fut = 8x5 = 40, 40-4 = 36

seis mas de la mitad de beis = 36/2 = 18, 18+6 = 24

LISTO

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What are three things that all 50 state governments have in common?- They all have appointed governors.- They all elect supreme court judges.- They all have term limits for legislators.- They all have three branches of government.- They all have written constitutions.- They all have elected legislatures. A circle has radius 9.5 cm. Find the length of the arc intercepted by a central angle with measure 120 A Performance to RememberNot many people may be familiar with a French figure skater named Surya Bonaly. Bonaly is one of the most decorated individuals in womens figure skating. She won medals in nearly every competition she entered. Bonaly did not start out as many young figure skaters do. For example, instead of learning to ice skate at a young age, Bonaly got her start in gymnastics. From the beginning, she showed promise as she began winning competitions for her tumbling routines. 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It was also suggested by some that because she was black and did not fit the typical womens ice skater model, Bonaly was judged more harshly than the other competitors. Bonaly felt she had to do more than any other competitor to be accepted and, perhaps even more importantly, win. Her growing perceptions of a double standard became even more visible during the 1994 World Championships in Japan. Bonaly earned a silver medal, losing to Japans Yuka Sato. A visibly upset Bonaly claimed that her routine was far more difficult than Satos. She not only refused to stand on the second place winners spot at the podium but also removed her silver medal from around her neck. Some say that she behaved poorly. To that, Bonaly responded, When you do sport, the rule is that you're supposed to play fair, to be a good athlete and good sport, I get it,""But I think at this point it was more an act of saying, 'OK, this is too much.' It happened many years in a row."Bonaly is probably most famous for a bold and daring stunt she performed during the 1998 Olympic Games held in Nagano, Japan. By this time, Bonaly was a clearly established skating champion; she had already won numerous honors for her skating, including winning the French Nationals nine times, as well as being a five-time European champion. She was also a three-time world silver medalist. The Nagano Olympics was Bonalys third time at the international winter sports competition. But she entered the games during a period when her skating performances that year were weaker than usual, due to an ongoing heel injury. The extent of Bonalys injury was reflected in her low scores. She realized that she would not earn a medal. So, she decided to do something special in her last routine, the freestyle skate. The something speciala backflipwas a feat she was already known for. 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Write 149,597,870,700 in scientific notation with 3 significant figures what are the qualifications for something to be used as money 4w Put the following steps of a lifeguard rotation in the proper order. What is the distance between the two points? An electromagnetic am-band radio wave could have a wavelength of. need help please I'm being timed on this im so confused