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Aliun [14]
4 years ago
11

Let two cards be dealt successively, without replacement, from a standard 52-card deck. Find the probability of the event. The f

irst card is a queen and the second is a seven
Mathematics
1 answer:
ICE Princess25 [194]4 years ago
4 0

Answer: 4 / 663

Step-by-step explanation:

There are 4 queens in a deck of 52 cards.

Probability = 4/52 = 1/13

There are 4 sevens

Probability = 4/51

Total probability = 1/13 x 4/51 = 4 / 663

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Rob is flying a kite with a string that makes a 70-degree angle with the ground. If the kite string is 27 meters long, how high
Bingel [31]

Answer:

25.37

Step-by-step explanation:

Use SOH or Sin∅=\frac{opposite}{hypotenuse}

So Sin(70)= \frac{x}{27}

Multiply both sides of the equation to end up with 27Sin(70)=x

Plug into your calculator in degrees and you get 25.37m

8 0
3 years ago
Fahrenheit femperature can be obtained from Celsius (centigrade) temperature by multiplying by 1and adding 32 degrees What Fahre
ale4655 [162]

Answer:

117

Step-by-step explanation:

85 times 1 plus 32 = 117

6 0
4 years ago
8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm
Ilya [14]

Answer:

a₁ = 38

Step-by-step explanation:

Given AP, where:

  • 8a₈ = 12a₁₂
  • d = -2,
  • a₁ = ?

=============

<h3>Solution</h3>

aₙ = a₁ + (n-1)d

  • a₈ = a₁ + 7d = a₁ + 7*(-2) = a₁ - 14
  • a₁₂ = a₁ + 11d = a₁ + 11*(-2) = a₁ - 22

8a₈ = 12a₁₂

  • 8(a₁ - 14) = 12(a₁ - 22)
  • 2(a₁ - 14) = 3(a₁ - 22)
  • 2a₁ - 28 = 3a₁ - 66
  • 3a₁ - 2a₁ = -28 + 66
  • a₁ = 38
6 0
3 years ago
What is the least number you could multiply by to write an equivalent equation with integer coefficients?
Helga [31]
The least common multiple of the divisors 3 and 2 is 6. Multiplying by 6 gives you
  2(4a+1) = 3a

Multiply both sides of the equation by 6.
5 0
3 years ago
The table shows the number of points Malik and Alexia scored while playing a video game together. Which equation relates Alexia’
Vikentia [17]

Answer:

D. a = m + 30

Step-by-step explanation:

It's not A, because that would be dividing Malik's score in half to get Alexia's score.

B only works for the first line.

C is adding 10 to Malik's score, and the difference is greater than that...it's 30 points.

5 0
3 years ago
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