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Norma-Jean [14]
3 years ago
12

Richard is conducting an experiment. Every time he flips a fair two-sided coin, he also rolls a six-sided die. What is the proba

bility that the coin will land on tails and the die will land on an even number?
Mathematics
2 answers:
Alchen [17]3 years ago
5 0
Probability of coin landing on tails = 1/2
probability of dice landing on even number = 1/2

probability of both = 1/2 * 1/2 = 1/4
Taya2010 [7]3 years ago
5 0
 That would be 50/50 or 6%
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X+ y + z = -3<br> 3y - Z = 4<br> 2x- y - 2z = -5
snow_lady [41]

Answer:

  • (-3, 1, -1)

Step-by-step explanation:

  • x + y + z = -3  --> (1)
  • 3y - z = 4   --> (2)
  • 2x - y - 2z = -5 --> (3)

<u>Add up (1) and (2)</u>

  • x + 3y + y + z - z = -3 + 4 ⇒ x + 4y = 1  --> (4)

<u>Double (2) and subtract from (3)</u>

  • 2x - y - 2z - 2(3y - z) = -5 - 2(4) ⇒ 2x - y - 2z - 6y + 2z = -5 - 8
  • 2x - 7y = -13 --> (5)

<u>Double (4) and subtract (5)</u>

  • 2(x + 4y) - 2x + 7y = 2 + 13 ⇒ 2x + 8y - 2x + 7y = 15 ⇒ 15y = 15 ⇒ y = 1

<u>Finding x</u>

  • x + 4(1) = 1 ⇒ x = 1 - 4  ⇒ x = -3

<u>Finding z</u>

  • -3 + 1 + z = -3 ⇒ z = -1

<u>So the answer is: </u>

  • (-3, 1, -1)

4 0
3 years ago
This question has two parts. Be sure to answer both parts of the question. One inequality in a system is shown below. -12x + 3y
fgiga [73]

The inequality is -12x + 3y > 9.

PART A:

The sytem has no solution if inequality does not share a common area. The inequality -12x + 3y > 9 consist the region to left of line -12x + 3y = 9. So for no solution the region to left of equation -12x + 3y = 9 is suitable.

Thus inequality for no solution is, -12x + 3y < 9.

PART B:

For infinite solution the region of both inequality must overlap each other, or the inequality is same with some multiplication of divison factor. So inequality for infinite many solutions is,

\begin{gathered} (-12x+3y>9)\times-1 \\ 12x-3y

Thus inequality for infinite many solution is 12x - 3y < -9.

7 0
1 year ago
Wesly is 5 feet 3 inches tall. If one inch equals 2.54 centimeters, what is wesly's height in centimeters
dangina [55]

Answer:

152.4 cm

Step-by-step explanation:

Wesly is 5 feet and 3 inches tall. Since there are 12 inches in one foot, 5 feet has 60 inches. This means Wesly is 63 inches tall. If one inch is 2.54 cm then 60(2.54) is Wesly's height in centimeters. 60(2.54) = 152.4

7 0
3 years ago
For what values of x and y must ABCD be a parallelogram?
Tamiku [17]
X = 7 and Y = 9

Because the parallel sides have to be equal and these inputs make the side equal.
3 0
3 years ago
A. 96°<br> b. 132°<br> c. 137°<br> d. 89°
inessss [21]

Answer:

c. 137°

Step-by-step explanation:

5 0
3 years ago
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