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ExtremeBDS [4]
2 years ago
9

Two unique letters are chosen at random from the alphabet. What is the approximate probability that the first letter chosen is A

?
Mathematics
1 answer:
guapka [62]2 years ago
8 0

Answer:

The approximate probability that the first letter chosen is A = 0.0385....

Step-by-step explanation:

The given statement is two unique letters are chosen at random from the alphabet.

The total number of ways that the two letters would be chosen from alphabets = 650

26*25 = 650

For the first draw there are 26 letters but for the second draw there are only 25 letters left thats why we have multiplied 26 by 25.

The number of ways letters are chosen such that the first one is A, is

1*25 = 25

Thus the probability that the first letter chosen is A:

P(A)25/650 =  0.03846

By rounding off it becomes 0.0385.

Thus the approximate probability that the first letter chosen is A = 0.0385....

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What value of x would make KM ∥ JN?
stepan [7]

Answer:

x = 10

Step-by-step explanation:

By the converse of the side-splitter theorem, if \dfrac{JK}{KL}= \dfrac{NM}{ML} , then KM ∥ JN.

Substitute the expressions into the proportion:

\dfrac{x-5}{x}= \dfrac{x-3}{x+4}

Cross-multiply:

(x – 5)(x+4) = x(x – 3).

Distribute:

x(x) + x(4) - 5(x) - 5(4) = x(x) + x(-3).

Multiply and simplify:

x^2 +4x- 5x - 20 = x^2-3x\\-x-20=-3x\\$Collect like terms$\\-x+3x=20\\2x=20\\$Divide both sides by 2\\x=10

Solve for x: x = 10

Therefore, the value of x that would make KM parallel to JN is 10.

4 0
2 years ago
If sin 20 degree=a and cos20 degree=b then which of the following represents the correct value of sin 70 degree in terms of a an
Scorpion4ik [409]

ANSWER

3) b

EXPLANATION

Given that:

\sin(20 \degree)  = a

and

\cos(20 \degree)  = b

Recall that the sine and cosine functions are equal for complementary angles.

This implies that,

\sin(70 \degree)  =  \cos(20 \degree)

\sin(70 \degree) = b

5 0
2 years ago
Brenda’s scores on the first three of four 100-point science tests were 95, 92, and 89. What score does she need on her fourth s
Nitella [24]
If the average of four scores is going to be 93,
then the four scores will add up to  (4 x 93) = 372 .

The first three scores add up to  (95 + 92 + 89) = 276 .

In order to reach a 93 average for four scores,
Brenda needs  (372 - 276) = 96  on the fourth test.
Yay Brenda !  It'll be tough, but you can do it !
7 0
2 years ago
Read 2 more answers
Which shows the factored form of x2 – 12x – 45?
Oxana [17]
Hi!

(x+a)·(x+b) = x²+xa+xb+ab = x²-12x-45

x² = x²
xa+xb = (a+b)x = -12x ⇒ (a+b) = -12
ab = -45

When (a+b) = -12 and ab = -45?

+3-15 = -12 and (+3)(-15) = -45 
-3-15 = -18 and (-3)(-15) = +45
+3+15 = +18 and (+3)(+15) = +45
-3+15 = +12 and (-3+15) = -45

Answer:

(x+3)(x-15) 



6 0
2 years ago
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Seema bought a new pair of jeans that were on sale. The original price of the jeans was $56. The store had marked them down by 2
taurus [48]
The jeans would cost Seema $25.20.
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