Simplify the numerator [n] and give the factors of the denominator [d] after simpifying.

Answer:

1) the probability that the proportion of vegetarians in the sample would be greater than 9% is 0.1902

2) the probability that the mean of the sample would differ from the population mean by less than 1.1 points in the is 0.3616

p( /x" - u/ < 0.47 ) = 0.3616

Step-by-step explanation:

1)

Given that;

p = 8% = 0.08 and n = 569

what is the probability that the proportion of vegetarians in a sample of 569 Americans would be greater than 9% (0.09)

that is;

p( p" > 0.09) = ?

p( p" > 0.09) = p( z > [(0.09 - 0.08)/(√((0.08(1 - 0.08))/569))] )

= p( z > (0.01 / 0.0114))

= p ( z > 0.8772)

= 0.1902

Therefore the probability that the proportion of vegetarians in the sample would be greater than 9% is 0.1902

2)

Given that;

mean points obtained in an aptitude examination u = 166

standard deviation α = 19

sample size n = 66

x" - u = 1.1

first we say

x-score = (x" - u) / (α/√n) = 1.1 / (19/√66) = 1.1 / 2.3387 = 0.47

p( -0.47 < z < 0.47 )

= p( z < 0.47) - p( z < - 0.47)

= 0.6808 - 0.3192

= 0.3616

Therefore the probability that the mean of the sample would differ from the population mean by less than 1.1 points in the is 0.3616

p( /x" - u/ < 0.47 ) = 0.3616

9514 1404 393

Answer:

  [tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]

Step-by-step explanation:

We notice that the denominator of each term is the square of the term number, so the last term must be the 20th. The sum is then ...

  [tex]\displaystyle\sum\limits_{n=1}^{20}{\dfrac{1}{n^2}}[/tex]

Answer:

6, right?

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Subtract 2 from both sides of the equation.

3x + 2 = 4x + 5

3x + 2 - 2 = 4x + 5 - 2

Step 2.

Simplify. Subtract the numbers 3x =4x + 3

Now subtract 4 from both sides.

Combine like terms -x = 3

Divide both sides of the equation.

Cancel terms that are in both the numerator and denominator

Divide the numbers

And that's how X = -3

Hope this helped you! If it did, please mark as brainliest this helps me and others a lot. Have a wonderful day.

Answer:

C, 1 1/14

Step-by-step explanation:

You would convert 1/2 to 7/14 and convert 4/7 to 8/14. You can now add them together, and once you do you get 15/14. You can now simplify, giving you your answer of 1 1/14.

Answer:

17.9:13

Step-by-step explanation:

I know this because in order to find the percentage of 310, you must mutiply 310 by the percentage.

The number of students who like basketball:

310 x 0.05774 = 17.9

The number of students who don't like basketball:

310 x 0.04726 = 13

Hope this helps! :)

Answer:

17.9:13

Step-by-step explanation:

This is the answer

Answer:

A

Step-by-step explanation:

Answer:

the is a. $3,334.26

Step-by-step explanation:

Answer: 115 degrees

Step-by-step explanation:

Give me the brainliest plz!

Answer:

.09,1/6,1/3,2/5

Step-by-step explanation:

Answer: 12/5, 3.09, 3 and 1/6, 3 and 1/3

Step-by-step explanation: 12/5 is only equal to 2.4, so thats smallest. 3.09 is smaller compared to fractions.

tip: the bigger the bottom number on a fraction is, the smaller the number is. ex: 1/5 is actually a bigger number than 1/10

Answer: 7.5 meters

Step-by-step explanation:

Answers

9^5

please make me brainlist

Answer:

9^5

Step-by-step explanation:

Answer:

P = ( -2, -4.5 )

Step-by-step explanation:

-2 on the x axis;

-4.5 on the y-axis.

Answer:

$6

Step-by-step explanation:

Answer:

it would be a 14$ t-shirt there for you save 6 dollars.

Step-by-step explanation:

do the math in a calculator. :D

Answer:

Step-by-step explanation:

There are 3 critical points. Place them on the graph and go down (using a ruler and pencil).

-7, -5 trans forms into 7, -5

-4, -2 transforms into 4,-2

4, -4 transforms into -4, -4

Answer:

ok go  answer one of my questions ill then give it to u

Answer:

ok i will it will  thx to you too

Step-by-step explanation:

Answer:-9

Step-by-step explanation:

-9

Answer:-45 -5

Step-by-step explanation:

Answer:

I think it is 5.

Step-by-step explanation:

5/8 in decimal form is 0.625. 0.625 x 8 = 5. I hope this helps/ sorry if it didn't.

Answer:

17, 2, 0, 2

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

16.9 + 1.7 + 0.17 + 2.0 = 20.77 rounded to the  nearest whole number is 21.

1) x ≤ 30

2) 5x + 2x ≥ 14

3) xy ≤ 4

4) y - 5 < 20

Step-by-step explanation:

please mark me as brainlest

Answer:

Personally, I think 1/9 lb.

<Plis choose me as brainliest!>

Answer:

x + -2

Step-by-step explanation:

(editing answer to add how i got it)

3x +6=-3 (2x +4)

-3 (2x +4)

Multiply using the distributive property.

− 6 x − 12 /2

3(2)(-3x - 4)

divide these by 2 will get you

SO ITS 3(2) +6 = 3(2) (2x +4)

Answer:

-2

Step-by-step explanation:

Answer:

480 minutes

Step-by-step explanation:

60 minutes = 1 hr

60 x 8 = 480

480 minutes = 8 hrs

Answer:

The solutions are not viable because the amount of the sale cannot be negative

Step-by-step explanation:

We are told that;

Let A be the amount of the sale in dollars and C be the charge of the online auction

This means that both values of A and B should be non-negative integers.

Now, we are also told that An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale.

We can conclude that the solution is not viable because the amount of sale of -1.1 cannot be negative.

No picture given for this problem. Repost.

Answer:more info pl

Z

Step-by-step explanation:

Answer: That would be 4,3,2

Step-by-step explanation: Hope this helps

Answer:

Hope it will help you

Step-by-step explanation:

Jonathan can buy 33 games.

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Jonathan decides to go to an arcade to play some games. He sets a limit of $35 that he will spend

Let he can buy x games, then the equation will be,

0.75x+10 = 35

0.75x = 25

x = 100/3 ≈ 33

Hence, Jonathan can buy 33 games.

For more references on equation, click;

https://brainly.com/question/10413253

#SPJ5

Answer:

The year is  [tex]b = 1995[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of the number of babies born out of wedlock in 1990 is  k = 28%

    The percentage by which the number increase per year is  i = 0.6%

     The percentage of of the number of babies born out of wedlock considered is  a = 31%

Generally the difference in between the percentage in 1990 and the percentage considered is  

       [tex]d = a - k[/tex]

=>    [tex]d = 31 - 28[/tex]

=>   [tex]d = 3\%[/tex]

Generally the number of year require for the percentage to be equal  to  31%  is mathematically represented as

       [tex]n = \frac{3\%}{0.6\%}[/tex]

=>     [tex]n = 5\ years[/tex]

Generally the year which the considered percentage will be attained is  

    [tex]b = 1990 + n[/tex]

=> [tex]b = 1990 + 5[/tex]

=> [tex]b = 1995[/tex]