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Ber [7]
3 years ago
13

For a standard deck of playing cards, find the probability that a queen randomly selected from the deck is a diamond.

Mathematics
1 answer:
dsp733 years ago
6 0
The answer should be 1/26!!
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Will mark brainlist⭐️⭐️
Ahat [919]

Answer:

12

Step-by-step explanation:

have a good day n ily :)

7 0
2 years ago
Need help solving these two vector problems.
jonny [76]
<h3>Answer:</h3>

see below

<h3>Step-by-step explanation:</h3>

Here, we'll use an ordered pair <a, b> to represent each vector's two components. The rules are ...

  • multiplying a vector by a scalar multiplies each component by that scalar
  • multiplying a vector by a scalar multiplies its magnitude by the magnitude of the scalar
  • the magnitude of a vector is the square root of the sum of the squares of its components
<h2>1.</h2>

For A = <2.5, -3.5>, |A| = √(2.5²+(-3.5)²) = √18.5 ≈ 4.30

  • 2A = <5, -7>; |2A| = 8.60
  • -2A = <-5, 7>; |-2A| = 8.60
  • A/2 = <1.25, -1.75>; |A/2| = 2.15

_____

<h2>2.</h2>

A = |A|<cos(43.9°), sin(43.9°)>

B = |B|<cos(154.8°), sin(154.8°)>

C = <0, -25.8>

The sum being zero gives rise to 2 equations in 2 unknowns.

  |A|cos(43.9°) +|B|cos(154.8°) = 0

  |A|sin(43.9°) +|B|sin(154.8°) = 25.8

Using Cramer's rule to find the solution, we get ...

  |A| = 25.8cos(154.8°)/(cos(154.8°)sin(43.9°) -sin(154.8°)cos(43.9°))

  |A| = 25.8cos(154.8°)/sin(43.9° -154.8°)

  |A| ≈ 24.9887

  |B| = -25.8cos(43.9°)/sin(-110.9°)

  |B| ≈ 19.8995

4 0
3 years ago
A discounted concert ticket is $14.50 less than the original price p. You pay $53 for a discounted ticket. Write and solve an eq
drek231 [11]
Equation: Original price = cost of discounted ticket + discount

Original price = 53.00 + 14.50
Original price = 67.50
$67.50
4 0
3 years ago
Suppose there are 200 lockers and 200 students. Kayla reasons that since there are 10
Rus_ich [418]

Answer:

Kayla's reasoning is not correct.

Step-by-step explanation:

The locker problem is as follows:

Imagine you are at a school that has student lockers. There are 200 lockers, all shut and unlocked, and 200 students. Suppose the first student goes along the row and opens every locker. The second student then goes along and shuts every other locker beginning with number 2. The third student changes the state of every third locker beginning with number 3. (If the locker is open the student shuts it, and if the locker is closed the student opens it). The fourth student changes the state of every fourth locker beginning with number 4. Imagine that this continues until the 200 students have followed the pattern with the 200 lockers. At the end, which lockers will be open and which will be closed? Why?

Solution:

So from the information we know that the first student goes along the row and opens every locker.

Then the second student shuts every other locker, i.e. locker numbers 2, 4, 6, 8, 10, ..., 196, 198 and 200.

Then the third students changes the state of every third locker, i.e. he/she closes an open locker and opens a closed locker.

So the open lockers are: 1, 5, 6, 12,...

Then the fourth students changes the state of every fourth locker.

So the open lockers are: 1, 4, 5, 6, 8,....

So, on we will observe that the open lockers have a perfect square number such as, 1, 4, 9, 16,....

Consider that the pattern is as follows:

Student 1 opens the locker, Student 2 closes it, Student 3 opens it, person 4 Student and so on.

This is because the square numbers always have an odd number of factors, which leads them to be open at the end.

Take any locker number, 40, for example. Its state (open or closed) is changed for every student whose number in line is a factor of the locker number.

Student      Locker 40 status

     1                    Open

     2                   Close

     4                   Open

     5                   Close

     8                   Open

     10                  Close

    20                  Open

    40                  Close

Like all other lockers numbered with non-square numbers, it ends up closed after all the students have gone through the line because it has an even number of factors.

Consider the locker number 16:

Student      Locker 16 status

     1                    Open

     2                   Close

     4                   Open

     8                   Close

     16                  Open

Thus, we can conclude that all the doors with square numbers on them will remain open because all square numbers have an odd number of factors and the doors with non-square numbers on them will remain close because they have even number of factors.

There will be a total of 14 lockers open.

1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169 and 196

So, if there are 10 lockers open in the first 100 lockers there must be only 4 other lockers opened in the next 100.

5 0
3 years ago
The approximate time between two high tides or<br> two low tides is?
NeX [460]

Answer:

It's (very roughly) 12 hours from one high tide to the next, and of course the same for low tides. That's because the tides produced when the Moon is directly overhead or in the opposite direction are the same. Same with two low tides, since there are two tides a day (both low and high).

5 0
3 years ago
Read 2 more answers
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