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Leni [432]
3 years ago
10

Suppose that you draw two cards from a deck. After drawing the first card, you do not put the first card back in the deck. What

is the probability (rounded to the nearest ten thousandth) that both cards are diamonds?
(A) 0.0543
(B) 0.0588
(C) 0.0625
(D) 0.0643
(E) None of the above
Mathematics
1 answer:
S_A_V [24]3 years ago
8 0

Answer:

(B) 0.0588

Step-by-step explanation:

The probability is calculated as a division between the number of possibilities that satisfy a condition and the number of total possibilities. Then, the probability that the first card is diamonds is:

P_1=\frac{13}{52}

Because the deck has 52 cards and 13 of them are diamonds.

Then, if the first card was diamonds, the probability that the second card is also diamond is:

P_2=\frac{12}{51}

Because now, we just have 51 cards and 12 of them are diamonds.

Therefore, the probability that both cards are diamonds is calculated as a multiplication between P_1 and P_2. This is:

P=\frac{13}{52}*\frac{12}{51}=\frac{1}{17}=0.0588

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X^2-4x+3=0 write it in standard form.
trasher [3.6K]

Answer:

x

=

2

±

√

7

Explanation:

there are no whole numbers which multiply to - 3

and sum to - 4

we can solve using the method of  

completing the square

the coefficient of the  

x

2

term is 1

∙

add subtract  

(

1

2

coefficient of the x-term

) 2  to x2 − 4 x ⇒ x 2 +2(− 2 ) x + 4 − 4 − 3 = 0 ⇒ ( x − 2 )2 − 7 =0 ⇒ ( x − 2 ) 2 = 7

take the square root of both sides

⇒ x − 2 = ± √ 7 ←

note plus or minus

⇒ x = 2 ± √ 7←

exact solutions

4 0
3 years ago
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A text font fits 12 characters per inch. Using the same font, how many characters can be expected per yard of text?
Shkiper50 [21]
I<span>f an inch would fit 12 characters and 1 yard has 36 inches. then, a yard would fit 432 characters.

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7 0
3 years ago
Can anyone help me thanks
grigory [225]

Answer:

b

Step-by-step explanation:

dbhdkcnsbnadjfmmfejsdbfjkgkf

5 0
3 years ago
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m_a_m_a [10]

Angle 4 and Angle 2 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 2 is 127 degrees.

Angle 4 and Angle 3 are a linear pair, meaning that they are supplementary and add up to 180 degrees. Therefore, the measure of angle 3 is 53 degrees.

Angle 3 and Angle 1 are vertical angles, meaning that they are congruent. Therefore, the measure of angle 1 is 53 degrees.

Hope this helps!

3 0
3 years ago
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Aneli [31]

Answer: maximum height of the football = 176 feet

Step-by-step explanation:

We want to determine the maximum height of the football from the ground. From the function given,

h(t) = -16t^2+96t +32, it is a quadratic function. Plotting graph if h will result to a parabolic shape. The maximum height of the football = the vertex of the parabola. This vertex is located at time, t

t = -b/2a

b = 96 and a= -16

t = -b/2a = -96/2×-16= 3

Substituting t = 3 into the function if h

h(t) = -16×3^2+96×3 +32

=-16×9 + 96×3 +32

= -144+ 288+32

=176 feet

6 0
3 years ago
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