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asambeis [7]
3 years ago
8

Use the following problem to answer questions 7 and 8. Carrie draws 5 cards simultaneously from a well-shuffled deck of 52 playi

ng cards. 7. What is the probability that she chooses 3 spades and 2 cards that are not spades
Mathematics
1 answer:
Alexxx [7]3 years ago
8 0

Answer:

The probability that she chooses 3 spades and 2 cards that are not spades is

0.08154

Step-by-step explanation:

52 deck cards have 13 spades , 13 clubs , 13 diamond, 13 hearts

spades = 13

Non spades = 39

Selecting 3 spades = 13C3 (Using combination)

selecting 2 spades = 39C2

in total 5 cards are drawn = 52C5

Probability of drawing 5 cards (3spades+2 non spades)

                               =\frac{ 13C3*39C2}{52C5} = 0.08154

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SashulF [63]
The correct answer should be B. 16 degrees:)
3 0
3 years ago
Read 2 more answers
Help me please !!!!! ASAP !
irga5000 [103]

Answer:

x = 6 sqrt(3)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2+ x^2 = 12^2

36 + x^2 = 144

Subtract 36 from each side

x^2 = 144-36

x^2 =108

Take the square root of each side

sqrt(x^2) = sqrt(108)

x = sqrt(36*3)

x = 6 sqrt(3)

8 0
3 years ago
The table shows the height of 5 students in inches what is the mean absolute deviation for these numbers
german

Answer:

4

Step-by-step explanation:

To find the mean absolute deviation (MAD), first find the mean (or average).

μ = (59 + 71 + 68 + 75 + 67) / 5

μ = 68

Next, subtract the mean from each value and take the absolute value.

|59 − 68| = 9

|71 − 68| = 3

|68 − 68| = 0

|75 − 68| = 7

|67 − 68| = 1

Sum the results and divide by the number of students.

MAD = (9 + 3 + 0 + 7 + 1) / 5

MAD = 4

3 0
3 years ago
Solve the following quadratic equation. Express your answers in exact form.
wlad13 [49]

Answer:

x = (2+√10)/ 3 and x= (2-√10/3)

Step-by-step explanation:

g(x) = -3x² +4x +2

use the quadratic formula x= (-b±√b²-4ac)/2a, when g(x) = ax² +bx +c

x= [-4 ±√4²-4*(-3)*2] / 2*(-3) , solve under the square root

x= (-4 ± √16 +24) / -6 , add under the radical

x= (-4 ±√40) / -6, simplify the square root

x= (-4 ±2√10) /-6, factor -2

x= -2 (2±√10)/-2 *3, simplify -2

x= (2±√10)/3

Therefore,

x = (2+√10)/ 3 and x= (2-√10/3)

5 0
3 years ago
What property 8 + 43 = 43 + 8
zysi [14]

Answer:

commutative property

Step-by-step explanation:

It's basically just changing the order of the equation.

3 0
3 years ago
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