Write one hundred billion one hundred million one hundred thousand one hundred in numbers

A detective has interviewed four witnesses to a crime. From the stories of the witnesses the detective has concluded

Answer:

Step-by-step explanation:

Step 1:we should turn the “facts” into logical expressions.

Step 2:Assign variables

Our variables are: b (for butler), c (for cook), g (for gardener), h (for handyman)

Step 3 . Let the value of true indicate that the person is telling the truth. For example, b = T means the butler is telling the truth. Then we can translate the statements as follows:

Check attachment

Step 4

We know all of these must hold. So we really want to know when (b→c)∧¬(c∧g)∧¬(¬g∧¬h)∧(h → ¬c) is true.

Step 5

Behold, another truth table task! If you work out the truth table, you see that this statement is only true when:

Check attachment

Step 6

Therefore we can say the butler and cook are definitely lying, but we can not determine if the gardener or handyman are lying. However, there are four variables in this problem. Instead, we can do this with some straight reasoning. Notice that:

If the butler is telling the truth, then by (a) the cook is telling the truth.

If the cook is telling the truth, then by (b) the gardener is lying.

If the gardener is lying, then by (c) the handyman is telling the truth.

If the handyman is telling the truth, they by (d) the cook is lying.

This leads to a contradiction (the cook can not be both telling the truth and lying)! Therefore the butler and cook must be lying. What about the gardener and the handyman? We don’t have enough information to figure out if they are lying. Since the cook is lying, we can’t use (b) to come to any conclusions about the gardener. Even if we are able to conclude that the gardener is telling the truth, we can’t use (c) to come to any conclusions about the handyman.

4 0

3 years ago

Two number cubes are rolled.

hichkok12 [17]

Answer:

When two number cubes are rolled,

Sample space= Total Possible outcome {11,22,33,44,55,66,12,21,13,31,14,41,15,51,16,61,23,32,24,42,25,52,26,62,34,43,35,53,36,63,45,54,46,64,56,65}=36

Probability of an event = \frac{\text{Total favorable outcome}}{\text{Total possible outcome}}

Sum of 4 is obtained when ={13,31,22}=3

Probability of getting 4 when 2 number cubes are rolled= \frac{3}{36}=\frac{1}{12}

Sum of the numbers is greater than 9= 10, 11,12={55,64,46,56,65,66}=6

Probability of getting(Sum of the numbers is greater than 9)=\frac{6}{36}=\frac{1}{6}

6 0

3 years ago

Read 2 more answers

Work out the area of this circle

Svetach [21]

Answer:

A = 50.3 cm²

Step-by-step explanation:

Area of a circle = $\pi r^2$

Where r = 4 cm

A = π(4)²

A = 16(3.14)

A = 50.3 cm²

5 0

3 years ago

Please help asap!!!!!!!!

qaws [65]

Answer:

The answer to your question is:

16.- x = -6

17.- x = -4; x = 2

18.- x = -5

Step-by-step explanation:

16.- $\frac{x + 6}{x - 4} = 0$

x + 6 = 0(x - 4)

x + 6 = 0

x = - 6

17.- $\frac{(x + 4)(x - 2)}{(x + 6)} = 0$

(x + 4) (x - 2) = 0)(x + 6)

(x + 4)(x - 2) = 0

x + 4 = 0 x - 2 = 0

x = - 4 x = 2

18.- $\frac{2x + 10}{3x - 12} = 0$

2x + 10 = 0(3x - 12)

2x + 10 = 0

2x = - 10

x = - 10/2

x = -5

6 0

3 years ago

Given the equation

8090 [49]

Answer:

D= 81/x I think this is the ans

8 0

3 years ago