Need help with geometry problem

Using the z-distribution, it is found that the 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday is (23.36%, 28.72%).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

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

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

269 out of 1033 respondents said they were likely to only be in church, hence:

[tex]n = 1033, \pi = \frac{269}{1033} = 0.2604[/tex]

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 [tex]z = 1.96[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2604 - 1.96\sqrt{\frac{0.2604(0.7396)}{1033}} = 0.2336[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2604 + 1.96\sqrt{\frac{0.2604(0.7396)}{1033}} = 0.2872[/tex]

As a percentage:

0.2336 x 100% = 23.36%

0.2872 x 100% = 28.72%

The 95% confidence interval to estimate the actual percentage of adults in the U.S., aged 18 and older, that are "likely" to ONLY be in church on any given Sunday is (23.36%, 28.72%).

A similar problem is given at https://brainly.com/question/25743435

Answer:

The answer to " How much is a pen or pencil at the school store?" is $0.5

Step-by-step explanation:

3+5=8

-1.00 for erasers

total cost now =4

4/8= $0.5

total cost of everthing =5

b. four fifths plus two fourths

Step-by-step explanation: Change the fractions to their equivalents in 20ths-- like finding the common denominator.

Divide the original denominator into 20, then multiply the result by the original numerator to get the new numerator.

4/5  20/5 = 4    4×4 = 16   so 4/5 is equivalent to 16/20

2/4   20/4 = 5    5×2 = 10   so  2/4 is equivalent to 10/20  

Add:    16/20 + 10/20 = 26/20

brainliest me

Answer:

0.08

Step-by-step explanation:

the orange circle is all people who like iced coffee, since we want the probability of liking only iced coffee, we need to look at the part of the orange circle not overlapping with the blue circle. this is 0.08

Answer:

good for trevin?

Step-by-step explanation:

we'll need more to go on haha

Answer:

Step-by-step explanation:

Initial output:

Upgraded output:

Find the upgraded output in number:

Average output=390KW

Updated percentage=30%

Updated output:-

[tex]\\ \sf\longmapsto 30\%\:of\:390[/tex]

[tex]\\ \sf\longmapsto 0.3(390)[/tex]

[tex]\\ \sf\longmapsto 117[/tex]

New output=390+117=507KW

Answer:

274900

Step-by-step explanation:

Convert a number to and from scientific notation, e notation, engineering notation, standard form, and real numbers. Enter a number or a decimal number or scientific notation and the calculator converts to scientific notation, e notation, engineering notation, standard form and word form formats.

To enter a number in scientific notation use a carat ^ to indicate the powers of 10. You can also enter numbers in e notation. Examples: 3.45 x 10^5 or 3.45e5.

Order of magnitude will also be identified for the calculated standard form. The order of magnitude when written in standard form, is the nth power of 10. For example, 3.4 x 10^5 has an order of magnitude of 5 since 10 is raised to the 5th power.

Answer:

Yes it is written in scientific notation.

Step-by-step explanation:

Scientific notation is --> a x 10^b.    where a and b are certain values. This value follows that pattern, so yes it is in scientific notation.

Step-by-step explanation:

n² + n < 2^n

so, let's see what happens, when I increase n by 1

(n+1)² + n + 1 < 2^(n+1) = 2×2^n

n² + 2n + 1 + n + 1 < 2×2^n

n² + 3n + 2 < 2×2^n = 2^n + 2^n

so, we added on the left and on the right side of the inequality sign compared to the original relation :

2n + 2 vs. 2^n

so, once the original relation becomes true (and we see by trying that for n = 1, 2, 3 and 4 it is not, but for n = 5 it becomes true), the next integer follows the original inequality plus the expressions mentioned above.

n² + n + (2n + 2) < 2^n + (2^n)

this inequality will remain true, if

2n + 2 <= 2^n

n + 1 <= 2^(n-1), which is true for n > 2 (and therefore also n > 4), because the "power of" function 2^n progresses much faster than a simple n+1

and therefore this relation remains true for any larger n.

Answer:

what is an exponent bro ;-;

If the temperature decreasing in New York leads to the number of people wearing sweaters increasing, this is Negative correlation.

There are several types of correlation:

In this scenario we notice that when temperatures decreased, people wearing sweaters increased. This is therefore negative correlation as the variables moved in opposite directions.

In conclusion, what was observed is negative correlation.

Find out more at https://brainly.com/question/10099551.

Answer:

On the LHS:

Frequency is measured in rad/s, or [tex]s^-^1[/tex];.

On the RHS: [tex]1/2\pi[/tex] is a-dimensional, forces are measured in newton, or [tex]kg\cdot m\cdot s^-^2[/tex]; masses are measured in kg, distances in m.

[tex][s^-1] = (\frac{[kg \cdot m\cdot s^-^2]}{ [kg \cdot m]}) ^\frac12 \\{[s^-^1]} = [s^-^1][/tex]

Answer:

2 Independent Random Variables The random variables X and Y are said to be independent if for any two sets of real numbers A and B, (2.4) P(X 2 A;Y 2 B) = P(X 2 A)P(Y 2 B): Loosely speaking, X and Y are independent if knowing the value of one of the random variables

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Since m<1 and m<7 is equal to m<3 and m<5, therefore m<1 is also equal to m<5

Answer:

x=pi/4, 5pi/4

Step-by-step explanation:

cot x = cos x / sin x, csc x = 1/sin x, so we have 2 cos x / sin x = 1/ sin^2 x. multiply both sides by sin^2 x to get 2 cos x * sin x = 1, divide both sides by 2 to get cos x sin x = 1/2, this would work for angles pi/4 and 5pi/4 (3pi/4 and 7pi/4 would make cos x sin x = -1/2) since cos x = sin x = sqrt(2)/2

Answer:

64 hours

Step-by-step explanation:

(3\8) times 64 (hours) equals 24 (tons of dirt)

we have 1,6Km is = to 2000 steps => 1 km = 1250 steps

=>  50km = 1250 x 50 = 62500 steps

so he'll have: 62500/1000 = 62,5 R1

ok done. Thank to me :>

Answer:

Step-by-step explanation:

a      15090

b      4255

c      dairy heifers and bulls

d      9975/15090

e      how many steers there are compared to bulls

Answer:

a) 15,090, addition

b) 4,255, subtraction

c) bulls and beef heifers for breeding

d) 5115/15,090 or 15/90

e) How many more calves are there than steers?

3930

Step-by-step explanation:

The correct alternative that, matches the correct value of this expression is the letter A. That is, the answer will be 35.

To find the value of this expression, let's eliminate the parentheses, and add the numbers, where the signs are equal.

_ When the signs are the same: just add them up.

_ When the signs are different: just subtract.

[tex]\large \sf =27-(-8)[/tex]

[tex]\large \sf =27+8[/tex]

[tex]\boxed{\boxed{\large \sf \ 35 \ }}[/tex]

So, the numeric value of this numeric expression will be 35.

Answer:

Step-by-step explanation:

Answer:

That's an expensive a ss refrigerator It's time to choose an energy star refrigerator that's only going to cost them about $2.90 per month. in about 32 months paying $19 a month they would have paid for an energy star refrigerator. if they keep that same refrigerator they would be buying a brand new refrigerator every 32 months. spending the 600 dollars now for a new refrigerator would save them $16.10 per month. The savings would pay for that same refrigerator in about 38 months.

9514 1404 393

Answer:

  an infinite number

Step-by-step explanation:

Subtract 9x -5 from both sides.

  (9x -5) -(9x -5) = (9x -5) -(9x -5)

  0 = 0

This is true for all values of x. There are an infinite number of solutions.

_____

Additional comment

When you subtract one side of the equation from the other, there are three possible results:

Answer:

1.400$

Step-by-step explanation:

Answer:

363/20,000

.................................................................................

Answer:

24

Step-by-step explanation:

Let the number be " x ".

11 % of x = 4

( 11 / 100 ) * x = 4

x = 4 * ( 100 / 11 )

x = 400 / 11

66 % of that number

= 66 % of x.

= 66 % of 400 / 11

= ( 66 / 100 ) x ( 400 / 11 )

= ( 66 x 400 ) / ( 100 x 11 )

= 6 x 4

= 24

Answer:

This slope means for every 1 minute Latonya swims 100 meters.

Step-by-step explanation:

Answer:

469 iPads were donated.

Step-by-step explanation:

The school purchased 396 iPads in total: 300+96

Now, you subtract how many the school purchased from the total amount of iPads to see how many iPads were donated: 865-396 = 469

Answer:

{-2}

Step-by-step explanation:

Answer:

B)-2

Step-by-step explanation:

In functions, X is your input. Y is the output unless specifically stated otherwise :P

Brainliest? <3

Answer:

Because integers don't have decimals. An irrational number has a forever repeating decimal (that is random).

Step-by-step explanation:

Answer:

There would be $5,372.99 in Camilla's account after 4 years.

Step-by-step explanation:

Total Principal $5,000.00

Total Interest $372.99

* interest rate of 1.8% compound monthly is equivalent to annual rate of 1.815%

Camilla will have approximately $5,454.41 in her account after 4 years.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Camilla invests $5,000 into an account with a 1.8% interest rate that is compounded monthly.

Now, After 4 years, the investment will grow to:

= $5,000 (1 + (1.8%/12))¹²ˣ⁴

= $5,000 (1 + (1.8%/12))⁴⁸

= $5,454.41

Hence, Rounding this to the nearest cent gives us a final answer of $5,454.41.

So, Camilla will have approximately $5,454.41 in her account after 4 years.

Learn more about the mathematical expression visit:

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