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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?

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.

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3 years ago

A. 96°<br> b. 132°<br> c. 137°<br> d. 89°

inessss [21]

Answer:

c. 137°

Step-by-step explanation:

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3 years ago