Your Statistics group wanted to determine what percent of Dulles High School senior like pineapple on their pizza. You randomly sampled 60 seniors and 36 responded that pineapple is one of their favorite topping. You wanted to construct a 90% confidence interval to report your findings. (Use your Confidence Interval Notes and the assigned videos to answer the questions) A margin of error (ME) tells you how many percentage points your results will differ from the true proportion of the population. For example, a 95% confidence interval with a 4 percent margin of error means that your sample proportion will be within 4 percentage points of the true proportion value 95% of the time. Calculate the ME of your study.

Answers

Answer 1

Answer:

The answer is "0.1040"

Step-by-step explanation:

Margin of error[tex]=Z_{\frac{\alpha}{2}} \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\[/tex]

                          [tex]=Z_{\frac{0.10}{2}} \sqrt{\frac{\frac{36}{60}(1-\frac{36}{60})}{60}}\\\\=1.645 \times 0.0632\\\\=0.1040\\\\[/tex]


Related Questions

Raj works in a bakery. He has 9 pounds of flour. He needs 14 ounces of flour to make one cake. How many cakes can Raj make? Use the​

Answers

Answer:

3

Step-by-step explanation:

m

3, this is correct sms

Two trains started from the same station at the same time and traveled in opposite
directions. After traveling 4 hours, they were 480 miles apart. The rate of the fastest
train exceeded the rate of the slow train by 10 mph. Find the rate of each train.
Please help!!

Answers

Answer:

Fastest train: 65 mph

slowest: 55 mph

Step-by-step explanation:

Divide 480 by 4

=120

To find average speed divide 120 by 2

=60

call the speed of the slowest train y.

y+(y+10)=120

2y=110

y=110/2=55

y+10=65

Hope this helps!! :)

Jill needs 3 tonnes of salt. If a packet of salt weighs 600 g how many packets does she need?

Answers

Answer:

Solution given:

1 packet=600g

we have

1 tone =1000000g

3tone=3000000g

we have

no of packet's=[tex] \frac{total weight }{1 packet weight } [/tex]

=[tex] \frac{3000000}{600} [/tex]

=5000

packets she needs is 5000.

Find the measure of the arc or angle indicated

Please help this is geometry

Answers

A is the correct answer

Someone please me thank you

Answers

Answer:

Graph dots in the points of the following:

(-4,10)

(-3,8)

(-2,6)

(-1,4)

(0,2)

(1,0)

(2,-2)

(3,-4)

(4,-6)

(5,-8)

(6,-10)

Connect these dots to make a line.

Please help on this!!! Thanks!!

Answers

Answer:

7y=4y +9(corresponding sides of congruent triangle)

or,7y-4y=9

or, 3y=9

or,y=9/3

so,y=3

now

ST=7y=7×3=21

again

TU=4y+9=4×3+9=21

hope this will help you more

-3b-75=0 I need 2 solutions

Answers

Answer:

-25

Step-by-step explanation:

-3b-75=0

    +75 +75

-3b=75

/-3    /-3

b=-25

There isn't 2 solutions

---

hope it helps

18 is 4.5 times a number.

Answers

Answer: 4
Explanation: Just divide 18 by 4.5, replace 18 and 4.5 with any number, you can use a calculator.

The value of x is equal to 4, that is  4.5 times 18 is 4

Given that the expression:

18 is equal to 4.5 times a number.

Assume that the number be x.

To find the number that is 4.5 times 18, we can set up the following equation:

4.5 × x = 18

Now, to find the value of x, divide both sides of the equation by 4.5:

4.5 × x / 4.5 = 18 / 4.5

x = 18 / 4.5

x = 4

So, the number that is 4.5 times 18 is 4.

Learn more about Divided here:

https://brainly.com/question/15381501

#SPJ6

Given y varies inversely as x, and y = 5 when x = 9. *Write the inverse function

Answers

Answer:

y = k/x

k = 45

y = 45/x

Step-by-step explanation:

y varies inversely as x

y = k/x

y = 5 when x = 9

y = k/x

5 = k / 9

Cross product

5 * 9 = k

k = 45

Constant of proportionality, k = 45

y = 45/x

Peyton opened a savings account with $1800 that pays no interest. She deposits an additional $200 each week thereafterHow much money would Peyton have in the account 40 weeks after opening the account?

Answers

Answer:

Step-by-step explanation:

Answer:

9600

Step-by-step explanation:

1800+200(40-1) = $9600

i’ll give brainliest!!! please help!

Answers

Answer :

It is trip i think

What is 2√47. please help me. I need this ASAP

Answers

Answer:

13.7113092008

Step-by-step explanation:

hope this helps

Answer:

As a decimal form it is 13.71130920... If you are looking for another form just tell me I am happy to help

Step-by-step explanation:

Help find the missing side show your work and get brainly

Answers

Answer:

[tex]\sqrt{32}[/tex]

Step-by-step explanation:

Pythagorean - [tex]a^2+b^2=c^2[/tex]

where a and b = legs and c = hypotenuse

For the following problem we are given the hypotenuse ( [tex]\sqrt{84}[/tex] ) and a leg ( [tex]\sqrt{52}[/tex] ) and we need to find the missing side length ( which also happens to be a leg.)

That being said we can find the missing leg by plugging in what we are given into [tex]a^2+b^2=c^2[/tex] ( let a = missing side length )

[tex]a^2+\sqrt{52}^2=\sqrt{84} ^2\\\sqrt{52} ^2=52\\\sqrt{84}^2 =84\\a^2+52=84[/tex]

* subtract 52 from each side

84  - 52 = 32

52 - 52 cancels out

we now have a² = 32

step 2 take the square root of each side

[tex]\sqrt{a^2} =a\\\sqrt{32} =\sqrt{32}[/tex]

Assuming that we are supposed to leave the answer in radical form the answer would be sqrt 32

Answer:

7 in.

Step-by-step explanation:

Let x = the length of the missing side

[tex]x^{2} + \sqrt{32} ^{2} = \sqrt{81} ^{2}[/tex]

[tex]x^{2} +32 = 81[/tex]

[tex]x^{2} = 49\\[/tex]

x = 7 in.

Help In Class ez ez ez ez ez ez ez ez ez ez ez ez ez ez

Answers

Answer:

Slope: 5, Y-intercept: 150

Step-by-step explanation:

=> Slope = Change in y / Change in x

Change in y = +35

Change in x = +7, therefore;

Slope = 35 / 7

Slope = 5

=> Y-intercept is the y-value where x = 0, therefore;

Y-intercept = 150

Hope this helps!

Answer:

i can sill confirm it is Slope: 5, Y-intercept: 150

Step-by-step explanation:

Need help ASAP PLEASE SHOW WORK ITS DUE SOON

Answers

Answer:

15

Step-by-step explanation:

the hypotenuse is the longest part of a right triangle, while the other sides are called the legs.

Answer:

15

Step-by-step explanation:

the measure of the hypotenuse is 15

thank you

Give me anime recommendations, hope you had a good day!

Answers

Answer:

I just started watching My Hero Academia recently, and I'm already on season four! I love it, you should check it out if you haven't already!

Answer:

cowboy bebop

Step-by-step explanation:

Is 7.12467 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

A rational number is a number that can be represented a/b where a and b are integers and b is not equal to 0. Since 7.12467 is an integer or decimal it's rational

7. Solve for x:
8. Find m

Answers

Answer:

From Triangles...

The sum of two opposite interior angles = the exterior

so

3x-2 + 9x + 7 = 14x - 19

12x +5=14x -19

Collecting Like terms

2x= 24

x= 12°.

For "m"

Sum of angles in a triangle=180°

So

180 - (19x-3+9x-2) = m

180 -(28x -5) =m

m= 180 - 28x + 5

m=185 - 28x.

Now

Since sum of everything in a triangle = 180

185 - 28x + 9x -2 + 19x - 3 = 180

185 -28x + 28x -5= 180

185-5=180

180=180

What is the area in square feet of the shaded part of the rectangle below​

Answers

Answer=176ft^2

Area of a square is l x w or 16 x 14=224
Area of a triangle uses the formula ab/2, so it would be 16 x 6/2=48

224-48=176

(ASAP)!!!
Sam is making a picture frame. He is gluing craft sticks end-to-end to a plece of cardboard. The sticks do not overlap.
Craft Sticks
Craft Sticks
The top of the frame is 18 inches long. Each craft stick is
Is 3.4 inches long
How many craft sticks will Sam glue to the cardboard to make the top of the frame?
O A St /
OD. 15
OB. 6
O E. 2173
Ос. 6
. 6 /

Answers

Answer:5 1/2

Step-by-step explanation:I took the test

Marco wants to buy a new smartphone that costs $495. He has already saved $75. Write and solve an inequality to find the least amount of money, m, that Marco still needs to save before he can buy the smartphone.

Answers

he needs 420 to buy a new smartphone

9 + 9 + 9 + 9 = _ x 9

Answers

Answer:

4

Step-by-step explanation:

multiplication is repeated addition

Answer:

4

Step-by-step explanation:

9+9+9+9= 36

36/9= 4

4×9= 9+9+9+9

work out three fifths of 20 pounds

Answers

3/5 times 20/1
60/5
12

Therefore, 3/5 of 20 pounds is 12 pounds.

Ivan and Teresa each opened a savings account today. Ivan opened his account with a starting amount of $320, and he is going to put in 585 per month
Teresa opened her account with a starting amount of $820, and she is going to put in $35 per month
Let x be the number of months after today.

Answers

Answer:After Ivan puts in $585 each month in just one monthes it would be a total of $905 dollers. After Teresa puts $820  in her new bank account  she puts in $35 per month just one month she has $940 In her bank account.

Step-by-step explanation: Sorry if it is wrong

which of the following is the value of x?​

Answers

9514 1404 393

Answer:

  x = 20°

Step-by-step explanation:

Assuming parallel lines, the two angles marked with measures are complementary to each other.

  45° +(5x +35°) = 180°

  5x = 100° . . . . . . . . . . . . subtract 80° from both sides

  x = 20° . . . . . . . . divide by 5

_____

Comment on the geometry

Where a transversal crosses parallel lines, all of the obtuse angles are congruent, and all of the acute angles are congruent. Of course, the acute angles and obtuse angles are linear pairs, hence supplementary. (The only time this won't apply is when all angles are right angles.)

No lines are marked as parallel here, nor does any part of this problem statement say there are parallel lines. So, we cannot find the value of x if we're going strictly by what is shown in the diagram. In the absence of any information, we can only say that the angle marked with an x-expression must be between 0° and 180°.

 0 ≤ 5x +35 ≤ 180 ... -35 ≤ 5x ≤ 145 ... -7 ≤ x ≤ 29.

How do I solve this I need help and if it’s not too much trouble can you help me understand which system to use. (Btw it’s trigonometry)

Answers

Answer:

[tex]x = 11.4[/tex]

Step-by-step explanation:

So there are ways to find a missing side of a triangle.

Pythagorean TheoremLaw of SinesLaw of CosinesSine,Tangent, or Cosine Function.

I'll explain when we use them,

We use pythagorean theorem if we have a right angle and know at least two sides of a triangle. Since we dont know two sides, we are not going to use that.

We use law of sines if we know a given angle and a side opposite of that angle and a side or angle opposite of the angle or side we are trying to findIf we apply the triangle interior theorem, we can use law of sines. Since 11 and 44 degrees are opposite sides, and x and the missing angle which is 46 is opposite side and angle as well.

We use law of Cosines if we know two sides and a angle between them. We have a missing side so we cant use law of Cosines.Since we are trying to find side measures, sometimes it isn't advised to use SOHCAHTOA.So let use law of sines.

[tex] \frac{11}{ \sin(44) } = \frac{x}{ \sin(46) } [/tex]

[tex] \frac{11}{ \sin(44) } \times \sin(46) = x [/tex]

[tex]x = 11.4[/tex]

Find the missing term: (x+3)² = x² + 6x + _____

Answers

Answer:

9

Step-by-step explanation:

The formula for (a + b)^2 expands out to: a^2 + 2ab + b^2. In the case of this problem, a equals x and b equals 3. We can substitute to get:

(a + b)^2 = a^2 + 2ab + b^2

(x + 3)^2 = x^2 + 2(x)(3) + (3)^2

(x + 3)^2 = x^2 + 6x + 9

So, the missing term is 9.

Another way to do this is to multiply (x + 3)(x + 3) since it's the same thing:

(x + 3)(x + 3)

x^2 + 3x + 3x +9

x^2 + 6x + 9

By solving this way, you get the same answer.

Answer:

It would be 9.

Step-by-step explanation:

To do this, lets expand the equation (x+3)^2 by turning it into:

(x+3)(x+3)

Now, lets try something called the FOIL method. This is where all of the terms of the equation are multiplied in the order:

1) First

2) Outer

3) Inner

4) Last

So in (x+3)(x+3), each of the first parts of each parentheses box are x's, and x times itself equals x^2 so:

x^2 + ? + ? so far.

Next, with the Outer & Inner parts, they would be x * 3 and 3 * x. With this, you would get 3x and 3x. These can be added to get 6x, the middle part of the equation.

x^2 + 6x + ? so far.

Lastly, for the answer. Time to do the last part of each parentheses box, you would get 3 * 3, which gives you 9.

x^2 + 6x + 9.

Find the missing side length.
PLEASE NO LINKS- I WILL REPORT YOU.
I Need help-
Thank you

Answers

To find the missing side length you need to remember the 30,60,90 triangle formula. The answer is X=6 Y=6 sq root of 3

Find the lateral surface area of the can of mandarin oranges. Round your answer to the nearest tenth. Radius: 4cm, Height: 11cm

Answers

Answer:

276.3cm²

Step-by-step explanation:

The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.

A can is in the shape of a cylinder

Lateral surface area of a cylinder = 2πrh

π = pi = 3.14

h = height = 11

r = radius = 4

2 x 3.14 x 4 x 11 = 276.32 cm²

to the nearest tenth = 276.3 cm²

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Amy has a piece of wood that measures 42 inches. The model shows the length remaining after she cut a piece from the 42-inch piece of wood. About how many inches did Amy cut from the 42-inch piece of wood?

Answers

Answer:

She has 42 pieces of wood each of 1 inch of length.

Step-by-step explanation:

Amy has 42 inches piece of wood.

She has to cut an inch.

After cutting pieces of inch each she counts the pieces to be 42.

Mathematically

Total length / unit lenght = Number of pieces

42 inches/ 1 inch= 42 pieces.

She has 42 pieces of wood each of 1 inch of length.

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