Answer now please ‍♀️

Step-by-step explanation:

we have p=proportion of vegetarian students=0.08

a. FALSE.

for normal approximations we must have np>=5 and n(1-p)>=5

here n=60 so np=60*0.08=4.8 which is less than 5.

hence normal approximation is not applicable.

b. TRUE.

for binomial proportion , the distribution is right skewed if 1-2p>0 or, 0.5>p

here, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.

c. FALSE.

here, n=125 which is quite large. hence normal approximation is applicable.

let phat be the sample proportion

then phat approximately follows a normal distribution with E[phat]=p=0.08

and variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888

hence standard deviation=sqrt(0.0005888)=0.0242652

hence effective range of phat is [0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956]

12%=0.12 lies in this effective range.

hence it is not unusual.

In this exercise we have to classify whether the statements are true or false:

a) False

b) True

c) False

d) False

e) False

We have: [tex]p=proportion of vegetarian students=0.08[/tex]

a) FALSE.  

For normal approximations we must have:

[tex]np\geq 5 \\n(1-p)\geq 5[/tex]

Where [tex]n=60[/tex] so [tex]np=60*0.08=4.8[/tex]  which is less than 5. Hence normal approximation is not applicable.

b)TRUE.

For binomial proportion , the distribution is right skewed if :

[tex]1-2p>0 \\ 0.5>p[/tex]

Where, p=0.08 so 0.5>p is satisfied. hence it is rightly skewed.

c) FALSE.

Where, n=125 which is quite large. hence normal approximation is applicable. Let phat be the sample proportion then phat approximately follows a normal distribution with:

[tex]E[phat]=p=0.08[/tex]

and [tex]variance=V[phat]=p(1-p)/n=0.08(1-0.08)/125=0.0005888[/tex]

Hence standard deviation [tex]=sqrt(0.0005888)=0.0242652[/tex]

hence effective range of phat is:

[tex][0.08-3*0.0242652,0.08+3*0.0242652]=[0.0072044,0.1527956][/tex]

12%=0.12 lies in this effective range. Hence it is not unusual.

d) FALSE.

e) FALSE.

See more about proportion at : brainly.com/question/8704765

Answer:

D. (x - 4)(x + 9)

Step-by-step explanation:

x2+5x−36

[think of numbers that add together to get 5 and multiply together to get -36!]

-4 + 9 = 5

-4 * 9 = -36

hope this helped! :]

Answer:

D: ( x - 4 ) ( x + 9 )

Step-by-step explanation:

By multipling the two friction :

x2 + 9x - 4x - 36

= x2 + 5x - 36

Answer:

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

(12.6604 ,19.3396)

Step-by-step explanation:

Step(i):-

Given that mean of the sample = 16

Given that the standard deviation of the sample = 3.81

The standard deviation of the Population = 3.81

Level of significance = 0.05

Step(ii):-

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

[tex](x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} } )[/tex]

([tex](16 - 1.96 (\frac{3.81)}{\sqrt{5} } , 16 +1.96 (\frac{3.81)}{\sqrt{5} })[/tex]

( 16 - 3.3396 , 16 + 3.3396)

(12.6604 ,19.3396)

Final answer:-

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

(12.6604 ,19.3396)

Answer:

9.9

Step-by-step explanation:

4.8 x 2 = 9.6

29.5 - 9.6 = 19.9

19.9/2 = 9.95

round up

9.9

Answer:

10 I think

Step-by-step explanation:

Answer:

gan if you could anssbdhe

Step-by-step explanation:

Answer:

7 stickers on each page.

Step-by-step explanation:

We start with 62 stickers.

Then we give 6 to the little sister, so we subtract 6 from 62.

62-6=56

Then we divide the remaining 56 stickers evenly across 8 pages.

56/8=7

7 stickers on each page.

Answer:

10 if the other the numbers go up as well

Step-by-step explanation:

20/2= 10

Which would mean Kora could make 10 s'mores

9514 1404 393

Answer:

  13

Step-by-step explanation:

The hypotenuse can be found using the Pythagorean theorem. If we call that side 'c', then the theorem tells us ...

  c² = 5² + 12²

  c² = 25 +144 = 169

  c = √169 = 13

The length of the third side is 13 units.

_____

Additional comment

The numbers (5, 12, 13) are what is called a "Pythagorean triple." That is, they are integers that can be used to form a right triangle. Others often seen in algebra problems are the (3, 4, 5), (7, 24, 25), and (8, 15, 17) triples. It can be worth your trouble to remember these. Then when you see side lengths of 5 and 12, you don't need to do any math to know the third side is 13.

Answer:

0.0000000006

Step-by-step explanation:

6* 10^-10= 0.0000000006

basically think of it as moving the decimal back 10 times.

Answer:

area = 84 m²

Step-by-step explanation:

area = (1/2)(4)(3)(2) + (5)(6) + (6)(3) + (4)(6) = 84 m²

Answer: 15

Step-by-step explanation: r=V

πh=10597.5

π·15≈14.9962

Answer:

41.25

Step-by-step explanation:

(1) area = 5.5 × 7.5

(2) area = 41.25

:)

Answer:More than nine-in-ten Hispanics identify with a specific religion. That, along with several other measures of belief and behavior, means that Hispanics as a group are highly religious. How does this affinity for spirituality vary among Latinos with different demographic characteristics or religious affiliations? And how precisely do the religious beliefs of Latinos set them apart from the rest of the population?

Step-by-step explanation:

Answer:

Step-by-step explanation:

64.16

Answer:

$90

Step-by-step explanation:

15 × 5 = 75

75 + 15 = 90

$90

Answer:

It would cost Rick $90, if he visted the Gym 15 times in a month.

Step-by-step explanation:

15 x 5 =75

75 + 15 =90

Answer:

For 5. The answer is 55% of 60 is less than 60% of 65 because 55% of 60 is 33. And 60% of 65 is 39

For 6. 20% of 80 is equal to 80% of 20 because 20% of 80 is 16. And 80% of 20 is also 16

Answer:

Option B and F.

Step-by-step explanation:

Given that the terms x, x-3 and x+1, are the factors of the polynomial, therefore the roots are calculated by equating the factors to zero,

[tex]x = 0[/tex]

x - 3 = 0 ➡️ x = 3

x + 1 ➡️ x = -1

Plus, the polynomial has the zeroes -1, 0 and 3.

It means that the curve of the graph should intersect the x-axis at x = 0, x = 1, and x = 3.

Now select the graphs which pass through (-1, 0), (0, 0) and (3, 0).

It is observed that the graphs in options B and F follow this path.

So the correct choices are option B and F.

Answer:

18 minutes

Step-by-step explanation:

Given that:

The arrival time = 3 customers / hour

The avg. service rate (s) = 12 minutes per customer

To hour, we have:

[tex]s = \dfrac{60}{12}[/tex]

s = 5 customers/ hour

Thus, the required average time for a customer needs to wait in line is:

[tex]= \dfrac{3}{5}\times (5-3) hours \\ \\ = \dfrac{3}{5}\times 2 \\ \\ = \dfrac{3}{10} \ hours[/tex]

To minutes;

[tex]= 3 \times \dfrac{60}{10} \ minutes[/tex]

= 18 minutes

278 students are girls in this case.

Answer:

choose the 3rd one is the one

Answer:

y = 4x + 8

Step-by-step explanation:

The linear equation can be written in the form y = mx + b. "y" and "x" stay as they are. The "m" is the slope or rate of change. The b is the y-intercept.

Hope it helps!!!

(May I have brainliest if it's correct please?)

Answer:

$ 4,900.00

Step-by-step explanation:

I = 7000 × 0.14 × 5 = 4900

I = $ 4,900.00

Answer: True!

Step-by-step explanation: When you pronounce the function you say it as is. :) Please rate and like thank you.

Answer:

D. 6

Step-by-step explanation:

Finding M:

M is the midpoint of L and P, which is given by the mean coordinates of L and P.

x for L is -3, and for P is 9. So

(-3 + 9)/2 = 6/2 = 3

Finding N:

N is the midpoint between M and P, that is, the mean between the coordinates of M and P. So

(3 + 9)/2 = 12/2 = 6

The correct answer is given by option D.

Answer:

32

Step-by-step explanation:

(3x-4)+(3x-8)=180

6x-12=180

6x=192

X=32

Applying the concept of supplementary angles the value of x we get is 32.

Use the concept of supplementary angles defined as:

The pair of angles known as supplementary angles always add up to 180 degrees. The definition of the term "supplementary" is "something supplied to complete a thing." These two perspectives are therefore referred to be complements of one another.

The given angles are:

Exterior angle = 3x - 4

Interior angle = 3x-8

From the figure, we can see that,

These angles are supplementary angles.

And since we know two angles are supplementary angles then,

Their sum = 180 degrees.

Therefore,

3x - 4 + 3x-8 = 180

6x - 12 = 180

Add 12 both sides are,

6x = 192

Divide by 6 on both sides,

x = 32

Hence,

The value of x is 32.

To learn more about supplementary angles visit:

https://brainly.com/question/18362240

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Answer:

1/6 or 0.166666...

Step-by-step explanation:

1 out of 6, so 1/6

Answer:

The mean absolute deviation is 36.8. Hope this was helpful

Step-by-step explanation: