Which expression should you simplify to find the 90% confidence interval,
given a sample of 64 people with a sample proportion of 0.55?

Answers

Answer 1

Step-by-step explanation:

CI = p ± z √(pq/n)

For 90% confidence, z = 1.645.

CI = 0.55 ± 1.645√(0.55 × 0.45 / 64)

Answer 2

The expression  to find the 90% confidence interval is

[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]

What is confidence interval?

A confidence interval is a range of estimates for an unknown parameter. A confidence interval is computed at a designated confidence level; the 95% confidence level is most common, but other levels, such as 90% or 99%, are sometimes used.

CI             z

0.70        1.04

0.75 1.15

0.80 1.28

0.85 1.44

0.90        1.645

0.92 1.75

0.95 1.96

0.96 2.05

0.98 2.33

0.99 2.58

According to the question

Data of  people = 64

Data proportion (P) =  0.55

The 90% confidence interval

therefore, [tex]z_{c}[/tex] =  1.645

CI = P± [tex]z \sqrt{\frac{P ( 1-P}{N} }[/tex]

substituting the value

[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]

CI = 0.5563

Hence, expression  to find the 90% confidence interval is

[tex]CI = 0.55 + 1.645 \sqrt{\frac{0.55 ( 0.45)}{64} }[/tex]

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Related Questions

what is 5(2x + 3y) + 7(3x –y) simplified

Answers

Look at the attached picture

◖⚆ᴥ⚆◗

Answer: The answer is 31x+8y

Step-by-step explanation:

(5)(2x)+(5)(3y)+(7)(3x)+(7)(−y)

=10x+15y+21x+−7y

Combine Like Terms:

=10x+15y+21x+−7y

=(10x+21x)+(15y+−7y)

=31x+8y

do the ratios 1/3 and 2/9 form a proportion

Answers

Answer: No they don't because there is not way 1/3 can be multiplied by a number to get  2/9 and there is no way 2/9 can be divide by any number to get 1/3.

Step-by-step explanation:

Answer:

they do!

Step-by-step explanation:

2/9 / 1/3 = 3/6 = 1/3

So the proportion is 2 to 1

Jada has 450 cards. How many packages of 100 cards can Jada make?

Answers

Answer:

she can make 4 and a half

Step-by-step explanation:

Jada can make only 4 packages of 100 cards, as of the given conditions.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What are equation models?

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,
Jada has 450 cards.
packages of 100 cards can Jada make is given as,
= 450 / 100
= 4 + 50/100

Thus, Jada can make only 4 packages of 100 cards, as of the given conditions.

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PLease Solve Quick 20 points! brainiest to whoever answers first and correctly!

The function f satisfies
f(sqrt(x+1))=1/x
for all x>=-1.

Find f(2)

Answers

Answer:

f(2)=1/3

Step-by-step explanation:

x=3

f(sqrt(3+1))=1/3

f(sqrt(4))=1/3

f(2)=1/3

PLEASE HELPPPP!!!!!!

Answers

Answer:

C = 3 √ 5

(since 9 is a perfect square), we can simplify radical 45 to 3 times radical 5

B √ 9*5 is true but not simplified.

We need to find a square numbers that divide into 45

We find 9

And show a * b = c

c= 45

so a * b = 9 * 5  = 3√ 5 is how we arrange this to simplify.

Step-by-step explanation:

The list is

1, 4, 9, 16, 25, 36, 49, 64, 81, 100

We see there are 10 perfect squares 1-100

5 are 1-25

then think 6 , 7, 6 , 9 ,10 squared/ if you cant list them too quickly.

Solve the equation using the distributive property and properties of equality

-5 (a + 3) = -55

What is the value of a?

Answers

Answer:

8

Step-by-step explanation:

1. distribute -5a-15= -55

2. get rid of -15 by adding 15 to both sides of the equation

-5a=-40

3. divide each side by -5 to get a

a=8

Click on the correct symbol
2,000 lb
1 T

Answers

Answer:

TFtgsbhjz whatt

Step-by-step explanation:

The correct symbol for the unit conversion is given by 2000 lb = 1 T

What is unit conversion?

In order to translate measurements of a particular amount between different units, a mathematical conversion factor is usually used. This modifies the measurement of the quantity without altering its effects.

The particular circumstances or the intended result control the conversion process. This may be governed by law, a contract, a list of technical specifications, or other publicly available standards.

A precise conversion from one system to another is necessary for some measures in order to maintain the precision of both the original measurement and the conversion.

Based on the connection between a particular pair of original units and a particular pair of target units, each conversion factor is chosen.

Given data ,

Let the symbol be represented as A

Now , the weight of the object is given by

Let the first weight be p = 2000 lb

Let the second weight be q = 1 Ton

And , from the unit conversion

2000 lb = 1 Ton

So , the value of q = p

Hence , the symbol is equal to and 2000 lb = 1 Ton

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Skis at a sports store near Snow Summit are on sale for $475. If the original price was $500,what discount rate(percent change) does this represent?

Answers

Answer: 5%

Step-by-step explanation:

Hi to answer this question, first we have to calculate the discount amount:

Original price - sale price

500-475 =25

Now, the original price (500) multiplied by the percent discount in decimal form (x) must be equal to the discount amount (25)

500x =25

Solving for x

x =25/500 =0.05

Multiply it by 100 to express in percentage form.

0.05 x 100 = 5%

Feel free to ask for more if needed or if you did not understand something.

Can someone tell me,how to do this???pls

Answers

Answer:

9x-2w+11y

Step-by-step explanation:

To find the perimeter, add up all the sides

7x-7w  + 2x+9y   + 2y+5w

Combine like terms

7x +2x    -7w +5w  + 9y+2y

9x-2w+11y


Which graph can be used
find the solution for the equation 4x + 2 = x+ 37
Hover over answer image to enlarge


sorry if the image is hard to read. the blue in D in going down the origin.​

Answers

its hard to read the graph

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot.
A) 10.4 feet by 7.4 feet
B) 11.1 feet by 8.1 feet
C) 13.4 feet by 10.4 feet
D) 14.1 feet by 11.1 feet

Answers

The correct answer is d. Please give me brainlest I hope this helps let me know if it’s correct or not okay

Please help me - it is due today. I will mark brainleist for whoever gets them correct, first. Thanks!

Answers

Answer:

1. -12

2. (135/n) -15

3. -4

4. -56

Answer:

from left to right

1. -12

2. -15

3. -4

4. -56

Step-by-step explanation:

1. divide 108/-9

2. put n with -9 and divide 135/-9

3. divide -96/24

4. multiply -8 * 7 = -56 = n

If x=12 and y=3, what is the value of x−y2?

6
18
3
81

Answers

Answer:

6 OR 3. Read explanation

Step-by-step explanation:

12-(3*2)=12-6=6

But I am guessing there may be a formatting error and you are trying to find y^2, so here goes.

12-(3^2)=12-9=3

Hope I patched up the holes. Good luck with homework :)

18..... 12-3= 9 9(2)= 18

6....... 12-(3x2)= 12-6=6

Which of the following represents the sum of the series below 4+7

Answers

4+7 equals 11 hope this helps !!!

Answer:

The sum is addition -----  11 is the answer

Step-by-step explanation:

Dan bought four candy bars for a total $24.96. How much did each candy bar cost? Thank you

Answers

Answer:

Each one is $6.24

Step-by-step explanation:

You have to divide 24.96 by 4

What is the perimeter of this square?

Answers

Answer:

144 cm

Step-by-step explanation:

P=4l

P=4*36

P=144 cm

Answer:

144 cm

Step-by-step explanation:

Since the shape is a square, all the lengths are the same. so to solve, add all the lengths together. Either (36+36+36+36) or 36*4. 36*4=144. So, the answer is 144 cm

You have set a goal to drink more water every day. Your water bottle holds 0.5 liters of water. In the equation below, b is the number of times you drink all the water in your bottle, and l is the number of liters of water you drink. The relationship between these two variables can be expressed by the following equation: l=0.5b.
Identify the dependent and independent variables.

Answers

Answer:

The independent variable is b and the dependent variable is l

Step-by-step explanation:

The independent variable is b and the dependent variable is l

The independent variable is the one you change, and the dependent variable is changed when you  alter the independent variable

How does the function f(x) = a ln x compare to the parent function when |a| > 1?

Answers

Answer: The graph is stretched.

Step-by-step explanation:

Answer:

The graph is stretched

Step-by-step explanation:

right on edge 2023

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.​

Answers

Answer:

x^2 + 10x +24

Step-by-step explanation:

blue square

x ⋅ x = x^2

pink rectangle

x ⋅ 4 = 4x

green rectangle

x ⋅ 6 = 6x

orange rectangle

4 ⋅ 6 = 24

add them all together

x^2 + 4x + 6x + 24

simplify

x^2 + 10x +24

This pattern repeats every 5 terms. The pattern is trapezoid, square, triangle, pentagon, square. What is the 17th term of this pattern?

a pattern of shapes, trapezoid, square, triangle, pentagon, square

A. Triangle
B. Square
C. Pentagon
D. Trapezoid

Answers

Answer:

Square

Step-by-step explanation:

If you give each of the figures a number, successively trapezoid = 1, square = 2, triangle = 3, pentagon = 4 and the second square = 5, then repeating this sequence will turn out that 17 is a square.

find the area of the trapazoid

Answers

Answer:

7.5 square units

Step-by-step explanation:

Since one of the  bases of the trapezoid is 4 units long and the other is 1 unit long, while the height is 3, the area of the trapezoid is (4+1)/2 * 3=2.5*3=7.5. Hope this helps!

Answer:

13.5

Step-by-step explanation:

What is the completely factored form of 3x^5-7x^4+6x^2-14x?

Answers

Answer:

x(x - 7)(x^3 + 2)

Step-by-step explanation:

Note that x is a common factor here:

3x^5-7x^4+6x^2-14x  =  x(3x^4 - 7x^3 + 6x - 14), or:

x(3x^4 - 7x^3 + 6x - 14)     Note that 6x - 14 can be rewritten as 2[x - 7]

                                          and that 3x^4 - 7x^3 can be rewritten as x^3[x - 7]

Therefore, x(3x^4 - 7x^3 + 6x - 14 becomes:

x(x - 7)(x^3 + 2)

Using the dot plot, describe the members of the math
club
x
Ages of Math Club Members
+
9
+
10
+
11
12
13
I need help

Answers

There are 9 members in the math club

From the dot plots, we have the following frequency distribution

Age 9 = 2Age 10 = 0Age 11 = 1Age 12 = 2Age 13 = 4

So, the total member of the math club is:

[tex]Total = 2 + 0 + 1 + 2 + 4[/tex]

Add all terms, in the above equation

[tex]Total = 9[/tex]

Hence, there are 9 members in the math club

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Answer: The math club has 8 members. The youngest member is 9. The oldest member is 13. Therer is a cluster between 11 and 13, with a peak at 13. There is a gap at 10.

Step-by-step explanation:

how can you convert inches to yarfs? would you multiply or divide when converting from a smaller unit to a large unit? explain

Answers

Answer:

You would divide

Step-by-step explanation:

Which best describes the sides of all trapezoids?

All sides are different lengths.

. Only one pair of sides is parallel.

o Opposite sides are parallel.

O All sides are the same length.

Answers

Answer:

only one pair of sides is parallel

Identify 2 objects you could find in a grocery store that hold less than 100 millimeters.

Answers

Toothpaste and food coloring

What is a quartile of 35, 45, 50, 65,85

Answers

Answer:

Lower quartile: 21.5

Median: 45

Upper quartile: 57.5

Step-by-step explanation:

pls mark brainliest

The question says “write with prime number base” and the question is 8 square root 32 (7,d)

Answers

Answer:

[tex]2^{\frac{11}{2}}[/tex].

Step-by-step explanation:

We need to write the given expression with prime number base.

In question 7, part d.

The given expression is

[tex]8\sqrt{32}[/tex]

It can be rewritten as

[tex]2^3\sqrt{2^5}[/tex]

Using properties of exponents , we get

[tex]2^3(2^5)^{\frac{1}{2}}[/tex]

[tex]2^3(2^{\frac{5}{2}})[/tex]    [tex][\because \sqrt[n]{x}=x^{\frac{1]{n}}][/tex]

[tex]2^{3+\frac{5}{2}}[/tex]    [tex][\because (a^m)^n=a^{mn}][/tex]

[tex]2^{\frac{6+5}{2}}[/tex]    [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]2^{\frac{11}{2}}[/tex]

Here, base is 2 and it is prime number.

Therefore, the required expression is [tex]2^{\frac{11}{2}}[/tex].

Which superhero defeats more enemies per minute?

Answers

The answer is Swag man

HEY GUYS I NEED HELP ASAP PLZZ! 20 points to the person who can give me the right answer first!!

MATH PROBLEM: Josh has a 4-foot long board. How much of it does he need to cut off to be left with a length of 20 inches?

Answers

Answer:

28 inches of the board

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