MATHEMATICS HIGH SCHOOL

Which is 216 written as a power of a number? a. 6^3
b. 3^6
C. <------
108^2
d. 72^3

Answers

Answer 1
Answer: a) 6^(3) =216

b) 3^(6) =729

c) 108^(2) =11664

d) 72^(3) =373248

Answer: A

216 = 6^(3)

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Using the simple random sample of weights of women from a data​ set, we obtain these sample​ statistics: nequals45 and x overbarequals149.27 lb. research from other sources suggests that the population of weights of women has a standard deviation given by sigmaequals30.72 lb.a. find the best point estimate of the mean weight of all women.
b. find a 99​% confidence interval estimate of the mean weight of all women

Answers

Answer is a. Find the best point estimate of the mean weight of all women

What is the radius of a circle with an area of 32.1 square feet

Answers

3.2 is the answer.
 
If you want to learn the steps to the process
just copy and paste this "how to find the radius of a circle with an area."

How many years will it take a major hamburger fast food chain to sell 45,000,000 burgers if it sells approximately 12,350 burgers per day? Show work

Answers

1 day.....12,350 b \n x...........45,000,000b \n\n x=(1*45,000,000)/(12,350) \n\n x=3,643.7 :365 \ (days) \n\n x=9,98 \ days \n\n \boxed{x=9,98\approx 10 \ years}
If a burger joint sells 12,350 burgers a day, it will take about 10 years to sell 45,000,000 burgers. I say this because 45,000,000 divided by 12,350 is 3643.72. That is how many days it would take to sell 45,000,000 burgers. Now, if you divide 3643.72 by 365 you get 9.98. 9.98 is how many years it would take to sell 45,000,000 burgers.
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Chocos is a dish made from wheat, sugar, and cocoa. Bertha is making a large pot of chocos for a party. Wheat(w) cost $5 per pound, sugar(s) costs $3 per pound, and cocoa(c) costs $4 per pound. She spends $48 on 12 pounds of food. She buys twice as much cocoa as sugar.

Answers

The question is incomplete, complete question is;

Chocos is a dish made from wheat, suguar, and cocoa. Bertha is making a large pot of chocos for a party. Wheat (w) costs $5 per pound, sugar (s) costs $3 per pound, and cocoa (c) costs $4 per pound. She spends $48 on 12 pounds of food. She buys twice as much cocoa as sugar. How much wheat, sugar, and cocoa will she use (in pounds) in her dish?

Answer:

She uses 3 pounds of wheat, 3 pounds of sugar and 6 pounds of cocoa in her dish.

Step-by-step explanation:

Given,

Total amount of spent money = $ 48

Total quantity of ingredients = 12 pounds

Let the quantity of wheat, sugar and cocoa she buys be x, y z pounds respectively.

\therefore x+y+z=12\ equation 1\nand\ 5x+3y+4z=48\ equation2

And according to question, quantity of cocoa is 2 times of sugar.

\therefore z=2y

Now substituting the value of z in equation 1and 2, we get;

x+y+2y=12\nx+3y=12\ equation3

5x+3y+4*2y=48\n5x+3y+8y=48\n5x+11y=48\ equation\ 4

Now multiply equation 3 by 5 and then subtract equation 4 from it.

5(x+3y)=5*12\n(5x+15y=60)-(5x+11y=48)\n4y=12\ny=(12)/(4)=3

\therefore z=2y=2*3=6

And substituting the value of y in equation 3, we get;

x+3y=12\nx+3*3=12\nx+9=12\nx=12-9=3

Thus the amount she uses is 3 pounds of wheat, 3 pounds of sugar and 6 pounds of cocoa in her dish.

The table below shows the number of cars Jing sold each month last year.What is the median of the data in the table.
13
16
19
20.5
23.5
Other:

Answers

Answer:

The median of the data in the table is 19.

Step-by-step explanation:

We are given the following data that shows the number of cars Jing sold each month last year below;

Number of cars Jing sold: 13, 16, 19, 20.5, 23.5

For calculating the median, firstly we have to observe that the number of observations (n) in our data is even or odd because;

  • If n is odd, then the formula for calculating median is given by;

                           Median = ((n+1)/(2) )^(th) \text{ obs.}

  • If n is even, then the formula for calculating median is given by;

                           Median = \frac{((n)/(2) )^(th) \text{ obs.} + ((n)/(2)+1 )^(th) \text{ obs.} }{2}

Here, the number of observations in our data is odd, i.e. n = 5.

So, Median = ((n+1)/(2) )^(th) \text{ obs.}

                   = ((5+1)/(2) )^(th) \text{ obs.}

                   = ((6)/(2) )^(th) \text{ obs.}

                   = 3rd obs. = 19

Hence, the median of the data in the table is 19.

How many packages will 5 1/2 pounds of raisins fill if each package holds 9 ounces

Answers

well there are 16 ounces in a pound... so u need to have 16 x 5 = 80 and 16 x 1/2 = 8 so 80 + 8 = 88. then u need to do 88 ÷ 9 which would equal less than 10 but greater than nine, so u need to round it to the next whole number so it would be 10 because its okay if one container isn't completely full
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