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Svet_ta [14]
3 years ago
5

PLEASE HELP!!!!! In a card game, Alfred picks a card from a deck, notes the color, and then puts it back into the deck. Later, V

icky picks a card from
the same deck
In this experiment, the event that Alfred picks a card from the deck is independent of the event that Vicky picks a card from the
same deck. What can be changed in this experiment so that these events become dependent?
A. It is not possible to make the second event dependent of the first event.
B.
Alfred should not put the card back into the deck after picking a card.
C.
Vicky should pick a card from another deck.
D.
The deck should be split into two piles, and Alfred should pick from one pile, while Vicky picks from the other.
Mathematics
1 answer:
leva [86]3 years ago
3 0
I think it’s d but I’m not sure
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Does anyone know the answer?
motikmotik

Answer:

We conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.          

Step-by-step explanation:

From the given right-angled triangle,

  • Base = p+1
  • Perpendicular = 2p-6

Using the formula to determine the area of the right-angled triangle

Area of the right triangle A = 1/2 × Base × Perpendicular

                                            =\frac{1}{2}\left(p+1\right)\left(2p-6\right)

Factor 2p-6: 2(p-3)

                                             =\frac{\left(p+1\right)\times \:2\left(p-3\right)}{2}  

Divide the number: 2/2 = 1

                                              =\left(p+1\right)\left(p-3\right)

\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

                                               =pp+p\left(-3\right)+1\cdot \:p+1\cdot \left(-3\right)

                                               =pp-3p+1\cdot \:p-1\cdot \:3

                                                =p^2-2p-3

Therefore, we conclude that the area of the right triangle is:

A\:=p^2-2p-3

Hence, option A is correct.                                        

3 0
3 years ago
The area of trapezoid TRAP is 100. Furthermore, TR=32, AP=8, and TP=RA. If
saw5 [17]

Answer:

  TP = 13

Step-by-step explanation:

The height of the trapezoid can be found from the area formula:

  A = (1/2)(b1 +b2)h

  h = 2A/(b1 +b2) = 2(100)/(32 +8)

  h = 5

The horizontal length of each triangular end of the trapezoid is ...

  (32 -8)/2 = 24/2 = 12

so the hypotenuse of the triangular end of the trapezoid is ...

  TP = √(12^2 +5^2) = √169

  TP = 13

The sides of the trapezoid have length 13 units.

4 0
3 years ago
Richard can make one jewelry box using 88
ruslelena [56]

Answer:

10

Step-by-step explanation:

8 0
3 years ago
Solve 10 ^(2x+9)=290 Express in terms of natura logarithms
GenaCL600 [577]
Use following log property:
ln( a^n) = n ln (a)

Take log of both sides
ln (10^{2x+9}) = ln (290) \\  \\ (2x+9) ln (10)  = ln (290)

Distribute left side, isolate 'x'
2 ln (10) x + 9 ln(10) = ln (290) \\  \\ x = \frac{ln (290) - 9 ln(10)}{2 ln(10)}
3 0
4 years ago
Given that O is the centre of the circle, find the values of x and y
AnnyKZ [126]
We know that the angle at the top of the triangle is 90 degrees by definition
<span>(Angle in the Semicircle Theorem</span>). That makes angle y 45 degrees (as is the angle opposite y). The angle next to 82 degrees is supplementary and therefore is 98 degrees. Since we know we have 98, and 45 degree angles in the triangle already, x must be 37. Since the triangle must have 180 degrees.

Y = 45
X = 37
4 0
4 years ago
Read 2 more answers
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