MATHEMATICS HIGH SCHOOL

Eiffel tower is 324 m high what would be the height of a miniature which bears a ratio of 1: 4000 with the tower?

Answers

Answer 1
Answer:

Answer:

0.081 m high

Step-by-step explanation:

324 m/4000 = 0.081 m

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1. Your grandmother is in the hospital and is put on a liquid diet. After examining her chart, a mistake is found stating that her weight is 500 kg. What is the equivalent weight in pounds?

Multiply (2m + 3)(m2 – 2m + 1).

Answers

Are you simplifying?

(I have a deadline in 3 hours :c ) Ann's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ann $4.35 per pound, and type B coffee costs $5.40 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $780.90. How many pounds of type A coffee were used?

Answers

A=3B
4.35A+5.40B=780.95
Substitute 3B into A for the second equation:
4.35(3B)+5.40B=780.90
13.05B+5.40B=780.90
18.45B=780.90
B=42.33
Plug into equation 1:
A=3B
A=3(42.33)
A=126.98
The two equations would be:4.35a + 5.40b = 780.90and b = 3asubstitute:4.35a + 5.40(3a) = 780.90Multiply:4.35a + 16.2a = 780.90add like terms:20.55a = 780.9divide by 20.55:a = 38substitute into the other equation:b = 3(38)multiply:b = 114This means that 38 pounds of coffee were used for type A (variable a) and 114 pounds of coffee were used for type B (variable b)

Convert the rate 1000 fluid ounces per 2 hours to cups per minute.

Answers

The conversion may be done through the dimensional analysis and the use of proper conversion factors. Each fluid once is 0.125 cup and each hour is equal to 60 minutes. 
  (1000 fluid ounces / 2 hours) x (0.125 cup / 1 fl oz.) x (1 hr / 60 min) = 2.08 cup/ minute

Thus the conversion is 2.08 cup / minute. 

What is the answer ​

Answers

I think it’s also 20 degrees.

Answer:

it's most likely D because 80 plus 80 equals 160 plus 20 is 180

Jenny runs a cake making business. She receives an order for 6 carrot cakes. Here are the ingredients for 1 carrot cake. How much mixed spice will she need for 6 cakes?

Answers

Where are the ingredients to make the carrot cake?

A deck of 52 cards contains four aces. If the cards are shuffled and distributed in a random manner to four players so that each player receives 13 cards, what is the probability that all four aces will be received by the same player?

Answers

Answer:

The probability that all four aces will be received by the same player is approximately 0.01.

Step-by-step explanation:

Of the 52 cards the four  aces can be selected in 52\choose4 ways.

If any one of the players receives all the four aces then that player can be selected in 4\choose1 ways.

Now for the selected player to receive all the four aces, the four ace cards must be placed among the 13 cards the player receives. This can be done in 13\choose4 ways.

Then the total number of ways such that all the four aces is received by one player is 413\choose4.

Then the probability that all four aces will be received by the same player is:

4*\frac{{13\choose4}}{{52\choose4}}=4*(715)/(270725) =0.01056\approx 0.01

Thus, the probability that all four aces will be received by the same player is approximately 0.01.

Final answer:

The probability that all four aces will be received by the same player in a game of 52 card deck distributed among four players is given by the formula P(E) = 4 * C(48, 9) / C(52, 13), derived through principles of combinatorics.

Explanation:

This is a probability problem that can be solved using combination and permutation principles in mathematics. Specifically, the subject involves combinatorics.

First, we note that each of the four players is dealt 13 cards from a 52 card deck. Hence, for a single player, the total number of ways 13 cards can be chosen from 52 is given by the combination formula C(n, r) = n! / [(n-r)!r!], where ! denotes factorial. In our case, n=52, and r=13.

The total number of ways to deal these 13 cards is thus C(52, 13).

Next, we need to consider the specific case where all four aces end up with one player. This means this player has 9 other cards that are not aces, from the remaining 48 cards (52 total cards - 4 aces). This can happen in C(48, 9) ways.

Therefore, the probability that a specific player gets all four aces is P(E) = C(48, 9) / C(52, 13).

To find the probability that any of the four players gets all four aces, we multiply this result by 4, because there are four players.

So, the final probability is P(E) = 4 * C(48, 9) / C(52, 13).

Learn more about Probability here:

brainly.com/question/22962752

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