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Posted in Mathematics

What are the first 20 decimals of Pi?


3.14159265358979323846

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Posted in Mathematics

You are buying potato chips at the grocery store. You have a manufacturers coupon for a $1.00 off and the store is offering 20% off if you buy 2 bags. You decide to buy 2 bags of potato chips. How do you compute your final cost? A. Subtract $1.00 off each bag and then multiply by .20 B. Multiply each bag by .20, subtract $1.00 off of each bag, and then add them together. C. Add the two bags together, multiply by .80, and then subtract $1.00. D. Subtract $1.00 from the first bag, then add them together, and then multiply by .80.

Answer:

The correct option is:   C.  Add the two bags together, multiply by .80, and then subtract $1.00.

Step-by-step explanation:

First you need to add the prices of two bags for getting the total sales price.

Now, the store is offering 20% off, that means you need to pay 80% of the total sales price. For finding the amount, we need to multiply the total sales price by 0.80

Then, you have a manufacturers coupon for a $1.00 off. So, for fining the final price, you need to subtract that $1.00 from the last result.

Thus, the correct option will be......

C. Add the two bags together, multiply by .80, and then subtract $1.00.

Posted in Mathematics

Which distribution has the greatest spread? Mean Standard Deviation Distribution 1 22 0.2 Distribution 2 21 0.8 Distribution 3 19 1.2 Distribution 4 20 3.2

Answer:

Distribution 4, mean is 20 and standard deviation is 3.2

Step-by-step explanation:

The standard deviation tells us on average how far each of our data values is from the mean.  A standard deviation that is larger than the others will mean a distribution that is more spread out than the others; 3.2 is the largest standard deviation, so Distribution 4 has the greatest spread.

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Posted in Mathematics

What is 20 time 4 equal?

20 x 4 = 80

hope this helps you

Posted in Mathematics

The soccer team voted on what they wanted to eat. there are 20 members on the team. six members voted for pizza, 10 voted for chicken, and the rest voted for hot dogs. which ratio represents the number of votes for hot dogs to chicken

Since there are 20 members in the soccer team. Then six members voted to eat pizza and 10 member voted to eat chicken and the rest is hotdog

Member voted for hotdog = 20 – 10 – 6 = 4

Ratio for hotdog to chicken is 10 : 4 or 5:2

Posted in Mathematics

The measured weights of 1,000 men in a certain village follow a normal distribution with a mean of 150 pounds and a standard deviation of 15 pounds. Which sentence most closely summarizes the data? About 160 people weigh more than 165 pounds. About 320 people weigh more than 165 pounds. About 320 people weigh less than 165 pounds. About 640 people weigh less than 165 pounds.

Z = (X-Mean)/SD 
z1 = (165 - 150)/15 = +1 
z2 = (135 - 150)/15 = - 1 
According to the Empirical Rule 68-95-99.7 
Mean +/- 1SD covers 68% of the values 
100% - 68% = 32% 
The remaining 32% is equally distributed below z = - 1 and z = +1 
32%/2 = 16% 

Therefore, 

a) Number of men weighing more than 165 pounds = 16% of 1000 = 160 
b) Number of men weighing less than 135 pounds = 16% of 1000 = 160

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Let P be a point between points S and T on 2004-01-01-02-00_files/i0120000.jpg. If ST = 21, SP = 3b – 11, and PT = b + 4, solve for b. A. –7 B. 7 C. 14 D. 32

The best and most correct answer among the choices provided by your question is the third choice or letter C.

If ST = 21, SP = 3b – 11, and PT = b + 4, the value of b would be 14.


I hope my answer has come to your help. God bless and have a nice day ahead!

Posted in Mathematics

A sports memorabilia store makes $6 profit on each football it sells and $5.50 profit on each baseball it sells. In a typical month, it sells between 35 and 45 footballs and between 40 and 55 baseballs. The store has no more than 80 footballs and baseballs in stock during the month. What is the maximum profit the store can make from selling footballs and baseballs in a month?

We are given with $6 profit per football sold and $5.50 profit per baseball sold. There are 35-45 footballs and 40-55 baseballs sold but there are only 80 balls stock in the store. The maximum profit is incurred from selling more of football and less of baseball. The equal number could also be possible. Having 40 footballs and 40 baseballs can be a possibility. However, having 39 footballs and 41 baseballs has smaller profit than the equal number. Likewise, 41 footballs lead to 39 baseballs which are not within the range. The answer is 40 footballs and 40 baseballs with a total profit of $460. 

Posted in Mathematics

Ava was making muffins. she used 1 1/3 tsp of cinnamon and 1/2 tsp of nutmeg. how many teaspoons of spice did ava use?

1 5/6 


1 1/3 = 4/3 (1x3+1)
4/3 and 1/2 do not have the same denominator so you'd have to find the lowest common denominator, which is 6. the new fractions would be 8/6 and 3/6 which would equal 11/6 or 1 5/6!

Hope that helps!

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Posted in Mathematics

10 is %20 of what number

50 Because if you multiply 10 5 times it equals 100 percent. 

Posted in Mathematics

The price p of an icecream is $3.95 plus $0.85 for each topping t on the ice cream

You can add $3.95 and $0.85 but it mostly depends on how many toppings you put on the ice cream.

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Posted in Mathematics

Which of the following ordered pairs corresponds to an arrow on a mapping diagram that starts at 4 and ends at 1? Map Diagram: Input 1 2 3 4 5 Output 1 2 3 4 5 The arrow points from 4 under input to 1 under output. Answer Choices are: A. (1, 1) B. (1, 4) C. (4, 1) D. (4, 4)

Input options represent first number in ordered pair and output options represent second number in ordered pair.

We can see that arrow starts from 4 and is pointing to 1 which means:
first number is 4 and second is 1

Ordered pair is:
(4,1)

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Posted in Mathematics

Membership in the fishing club went from 120 members last year to 87 members this year. What was the percent of decrease in membership?

It would be: 87/120 * 100 = 72.5

Percentage decrease = 100 - 22.5 = 27.5

So, your final answer is 27.5%

Hope this helps!

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Posted in Mathematics

The rainfalls 2 years ago was 10.2 inches.last year total was 20 percent greater. what was last years rainfalls total

It would be: 10.2 + 10.2 * 0.20
= 10.2 + 2.04 = 12.24

So, your final answer is 12.24

Hope this helps!

Posted in Mathematics

200x50 mathematics problem

200*50=10,000.
2*5=10
20*50=1000
200*50=10000

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Posted in Mathematics

How do I simplify 8x+10x-4+2x+20

8x+10x-4+2x+20=
(8x+10x+2x)+20-4=
20x+16=
4(5x+4)

Posted in Mathematics

What 2 numbers add up to get -1 and multiply to get -20

The two numbers that add up to get -1 and multiply to get -20 are -5 and 4
-5*4=-20
-5+4=-1
I hope this helps

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How do you simplify 520/480

The brianlest answer would be 13/12.

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Posted in Mathematics

Find The last two digit of 36^2015

Answer:

  76

Step-by-step explanation:

The last two digits of powers of 36 repeat in a pattern of length 5:

  36^1 mod 100 = 36

  36^2 mod 100 = 96

  36^3 mod 100 = 56

  36^4 mod 100 = 16

  36^5 mod 100 = 76

  36^6 mod 100 = 36

The last two digits of the power 2015 are the same as those of the 5th power: 76.

Posted in Mathematics

3500 calories for 6 servings of pie ----------- calories per serving

The answer is 575 calories per person per slice of pie. :)
Hope this helps!

Posted in Mathematics

Solve cos^2x + 2cosx + 1 = 0 for x over the interval [0, 2pi ). Can someone please give me a step by step answer. I don't understand at all.

Cos²x+2cos x+1=0

We have to do a change of variable.

cos x=t

Then, we have the next square equation.

t²+2t+1=0


We solve this square equation:

t=[-2⁺₋√(4-4)]/2=-1
 if cos x=t  then we have that:

cos x=-1
x=cos⁻¹ -1= π radians    or    180º.

Answer: x=π  (in radians)  or    x=180º   (in degrees). 

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