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3 years ago

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Given the events below, determine which equation correctly calculates the probability of drawing two kings in a row from a stand

ard 52-card deck, without replacement.
Event A: The first card drawn is a king.
Event B: The second card drawn is a king.

A. P(A n B) = P(A) * P(B|A)

B. P(A n B) = P(A) * P(B)

C. P(A n B) = P(A) * P(A|B)

D. P(A n B) = P(B) * P(B|A)

1 answer:

Tems11 [23]3 years ago

4 0

P of drawing two kings in a row = P of first card is a king * P of second card is a king given that the first card was a king

P (A ∩ B) = P(A) * P(B|A)

Answer: option A.

You can check that this is 4/52 * 3/51

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Maya had $27. She spent all the money on buying 3 burgers for $x each and 2 sandwiches for $y each. If Maya would have bought 2

defon

Answer:

Option C

The student's conclusion is correct because the solution to the system of equations $3x+2y=27$ and $2x+y=16$ is $(5,6)$

Step-by-step explanation:

Let

x------> the cost of each burger

y-----> the cost of each sandwich

we know that

$3x+2y=27$ -----> equation A

$2x+y=(27-11)$

$2x+y=16$ ----> equation B

Solve the system of equations

Multiply the equation B by $-2$

$-2(2x+y)=-2*16$ -----> $-4x-2y=-32$ ------> equation C

Adds equation A and equation C

$3x+2y=27 \\-4x-2y=-32\\ ----------\\ 3x-4x=27-32\\ -x=-5\\x=5$

Substitute the value of x in the equation B

$2(5)+y=16$

$10+y=16$

$y=6$

The solution of the system of equations is the point $(5,6)$

so

The price of each burger is $\$5$

The price of each sandwich is $\$6$

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3 years ago

Read 2 more answers

Use the following steps to prove that log b(xy)- log bx+ log by.

borishaifa [10]

Answer with Step-by-step explanation:

a. $x=b^p$

$y=b^q$

Taking both sides log

$log x=plog b$

Using identity: $logx^y=ylogx$

$p=\frac{logx}{log b}=log_b x$

Using identity: $log_x y=\frac{log y}{log x}$

$log y=qlog b$

$q=\frac{log y}{log b}=log_b y$

b. $xy=b^pb^q$

We know that

$x^a\cdot x^b=x^{a+b}$

Using identity

$xy=b^{p+q}$

c. $log_b(xy)=log_b(b^{p+q})$

$log_b(xy)=(p+q)log_b b$

Substitute the values then we get

$log_b(xy)=(log_b x+log_b y)$

By using $log_b b=1$

Hence, $log_b(xy)=log_b x+log_b y$

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3 years ago

Match each area to its corresponding radius or diameter of the circle.(All areas are approximate.) )

MA_775_DIABLO [31]

Answer:

<u>Radius: 12 units </u>

Area: πr² = 3.14*12² = 452.16 square units

<u>Diameter: 16.8 units</u>

Area: πd²/4 = 3.14*16.8²/4 = 221.5584 square units

<u>Radius: 3.4 units</u>

Area: πr² = 3.14*3.4² = 452.16 square units

<u>Diameter: 10 units</u>

Area: πd²/4 = 3.14*10²/4 = 78.5 square units

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3 years ago

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What is the answer to y=15x + 25

Travka [436]

Answer:x=(y-25)/15

Step-by-step explanation:

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3 years ago

Can anyone solve 9, 10, 11, 12, and 13 I'm stuck on those problems, I already solved 14, 15, and 16 on paper.

ddd [48]

Answer:

9. x>-4 or x≥1

10. a<2 or a≥-5

11. v≤7 or v≥-4

12. k≥5 or k<8

13. n>6.8 and n≤9

Step-by-step explanation:

9. -2x-7>1

-2x>8

x>-4

x-2≥-1

x≥1

10.a/-2 <-1

a<2

-4a+3≥23

-4a≥20

a≥-5

11. 6v+38≤-4

6v≤-42

v≤7

2(v+3)≥-2

2v+6≥-2

2v≥-8

v≥-4

12. 4(1-k)≥-16

4-4k≥-16

-4k≥-20

k≥5

7-6k<-41

-6k<-48

k<8

13. 10n-9>-59

10n>-68

n>6.8

n-6≤3

n≤9

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2 years ago