True or False, Drawing a Jack from a deck of cards, not replacing it, and then drawing a king are examples of dependent events

Answers

Answer 1

Answer:

Two events are dependent if the occurrence of one event affects the probability of occurrence of the other event.

Total number of cards in a deck are 52. There are 4 jacks and 4 kings.

If we simply pick up a king from the deck, the probability of picking a king would be $(4)/(52)$

However, when a Jack is drawn from the deck of cards and not replaced back, the number of total cards reduces by 1. So now the total number of cards in the deck is 51 with 4 kings. In this case the probability of drawing a king is 4/51

The probability of drawing a king from the deck has been changed when a Jack is drawn and not replaced back. So the two events are dependent. Thus, the answer to this question is TRUE

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How many feet are there in 24 yards?
A. 72
B. 8
C. 2
D. 288

Answers

1 yard=3 feet
24 yards=
24 yards=24 times yards=24 times (3feet)=24 times 3 times feet=72 times feet
72 feet is the answer

the answer is 72 because 3 times 24 is 72 and there's 3 feet in one yard so multiply that by 3

how to solve 4n²-3n-7=0

Answers

$4n^2-3n-7=0\n \n a=4, \ \ b=-3 \ \ c=-7\n \n \Delta = b^(2)-4ac = (-3)^(2)-4*4* (-7)= 9+112=121$

$x_(1)=(-b-√(\Delta ))/(2a) =( 3-√( 121))/(2*4)=( 3-11)/(8)= (-8 )/( 8)=-1 \n \nx_(2)=(-b+√(\Delta ))/(2a) =( 3+√( 121))/(2*4)=( 3+11)/(8)= (14 )/( 8)= (7)/(4)=1(3)/(4)$

$4n^2-3n-7=0\n\n\underbrace{(2n)^2-2\cdot2n\cdot(3)/(4)+\left((3)/(4)\right)^2}_((*))-\left((3)/(4)\right)^2=7\n\n(2n-(3)/(4))^2-(9)/(16)=7\n\n(2n-(3)/(4))^2=7+(9)/(16)\n\n(2n-(3)/(4))^2=(112)/(16)+(9)/(16)\n\n(2n-(3)/(4))^2=(121)/(16)\to2n-(3)/(4)=\sqrt(121)/(16)\ \vee\ 2n-(3)/(4)=-\sqrt(121)/(16)$

$2n=(11)/(4)+(3)/(4)\ \vee\ 2n=-(11)/(4)+(3)/(4)\n\n2n=(14)/(4)\ \vee\ 2n=-(8)/(4)\n\n2n=(7)/(2)\ \vee\ 2n=-2\n\nn=(7)/(4)\ \vee\ n=-1$

$(a-b)^2=a^2-2ab+b^2$

A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches and a height of 5 inches. Are the volumes the same?

Answers

a rectangular right prism area=legnth times width times height or base area times height

base=3 b y12, area=3 times 12=36
height=5
36 times 5=180

an oblique rectangular prism volume is the same as the right rectangular prism formula so
4 times 9 times 5=180

180=180
the volumes are the same

Use the quadratic formula to solve 2y2 + 6y – 8 = 0. A {–4, –1} B {4, –1} C {–4, 1} D {4, 1}

Answers

y = [-6 +/- sqrt(6^2 -4*2*-8)] / 2*2
= (-6 +/- sqrt 100) / 4
= (-6+10) / 4 , (-6-10) / 4
= (1 , -4)

the answer is C

What value of x satisfies the equation 5x+1.5=7

Answers

First thing we are going to do to solve this is to subtract 1.5 from both sides so:
5x+1.5−1.5=7−1.5
5x=5.5
Next we are going to divide from both sides by 5 so:
5x/5=5.5/5
Finally your final answer shall be:
x=1.1

I hope this helps!

5x+1.5=7
-1.5 -1.5
--------------
5x = 5.5
---- ------
5 5

x = 1.1

subtract 1.5 from both sides, then with that answer, you divide it by 5.
x = 1.1

What happened to the cat who swallowed a ball of yarn?

Answers

the cat who swallowd the yarn died

Depending on the size of the ball of yarn. I the ball of yarn was small he'll live but if it was bigger than he would have died from it being stuck in it's throat or possibly could have lived if rushed to the hospital immediately. But in this case she had Mittens.

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