Consumption of fast food is a topic of interest to researchers in the field of nutrition. An article reported that 1880 of those in a random sample of 6765 U.S. children indicated that on a typical day, they ate fast food. Estimate p, the proportion of children in the United States who eat fast food on a typical day. (Round your answer to four decimal places.)

Answers

Answer 1
Answer:

Answer:

the proportion is 0.2779, that is a 27.79%

Step-by-step explanation:

The article reported that 1880 children ate fast food from a sample of 6765 children. We can use the rule of three to find the proportion of children that ate fast food

  • from 6765 we have 1880 children that ate fast food
  • from 100 children we have 1880 * ((100)/(6765)) = 27.79 children that ate fast food

that gives us that a 27.79% of the children ate fast food on a typical day. We can obtain the proportion by dividing the percentage by 100, that gives us a proportion of 27.79/100 = 0.2779.

I hope this helped you!


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Sorry guys today is not my day :( Please show your work

After 25% of a bill is paid $80 still remains to be paid. how much was the bill?

Answers

the original bill was valued at 106.67 $

if 25% was paid, and 80 dollars are left, this means that 80 dollars is 75% of the bill. 25% is a quater, and 75% is three quarters. 

here, we can divide 80 into three parts ->

80 ÷ 3 ≈ 26.67
that means a quater of the bill is 26.67 $

if 80$ were left to be paid, just add the 26.67$ from the first quater -> 

80 + 26.67 = 106.67 $

The ocean club collects 24.93 kg of trash on the first weekend of the summer. The club collects 18.3 kg the next weekend. How much more trash is collected the first weekend?
Give your answer with the appropriate precision.
a. 6.7 kg
b. 6.65 kg
c. 6.63 kg
d. 6.6 kg

Answers

24.93 - 18.3 = 24.93 - 18.30 = 6.6

answer D

Change each mixed numeral to a fraction. 1 1/2, 1 7/8, 4 2/3, 5 5/6

Answers

3/2, 15/8, 14/3, 35/6

Simply the equation and show your work

Answers

Answer:

y^2   +2x^2 y

----------------------

5 xy^2   - 6 x^2

Step-by-step explanation:

1/x^2 +2/y

-------------------

5/x - 6/y^2

Multiply the top and bottom by x^2y^2 to clear the fractions in the numerator and denominator

1/x^2 +2/y               x^2y^2

------------------- * ---------------------------

5/x - 6/y^2               x^2y^2

Distribute

1/x^2 *  x^2y^2   +2/y *x^2y^2

---------------------------------------------

5/x  * x^2y^2   - 6/y^2* x^2y^2


y^2   +2x^2 y

----------------------

5 xy^2   - 6 x^2

Amir arranged 9 photos on a bulletin board. He put the photos in rows. Each row contains the same number of photos. How many photos could be in each row?

Answers

Answer: There will be 3 rows with 3 photos.

Step-by-step explanation:

Since we have given that

Number of photos to be arranged by Amir on a bulletin board = 9

According to question, we have given that each row contains the same number of photos.

Let the number of rows be x

So, the number of photos also be x

So, our equation becomes

x^2=9\n\nx=√(9)\n\nx=3

So, there will be 3 rows with 3 photos.

three rows of threes 

Roots of a quadratic equation 3x²-x+9=0 are p and q. Value from p/q + q/p = ....?

Answers

Hello,

3x²-x+9=0
==>x²-x/3+3=0
p+q=1/3
pq=3
p/q+q/p=[(p+q)²-2pq]/(pq)=[(1/3)²-2*3]/3=[1/9-6]/3=-53/27


3x²- x + 9 = 0
also x² - (1/3)x + 3 = 0

p,q are roots so
(x - p)(x - q) = x² - (1/3)x + 3 = 0
x² - (p+q)x + pq = x² - (1/3)x + 3 = 0

compare coefficients we have
p+q = 1/3 ... (1)
pq = 3 ... (2)
(1)/(2) ... (p+q)/pq = (1/3)/3
p/q + q/p = 1/9