Which of the following is true? |−6| < 5 |−6| < |5| |−5| < |−6| |−5|

107=(9X-115) +(4x+27)

Cloud [144]

Answer: x=15

Step-by-step explanation:

Equation: 107=(9x-115)+(4x+27)

Step 1: 9x+4x-115+27=107

Step 2: 13x-115+27=107

Step 3: 13x-88=107

Step 4: 13x-88+88=107+88

Step 5: 13x=195

Step 6: 13x/13=195/13

x=15

6 0

3 years ago

Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is f

pashok25 [27]

Answer:

0.999987

Step-by-step explanation:

Given that

The user is a legitimate one = E₁

The user is a fraudulent one = E₂

The same user originates calls from two metropolitan areas = A

Use Bay's Theorem to solve the problem

P(E₁) = 0.0131% = 0.000131

P(E₂) = 1 - P(E₁) = 0.999869

P(A/E₁) = 3% = 0.03

P(A/E₂) = 30% = 0.3

Given a randomly chosen user originates calls from two or more metropolitan, The probability that the user is fraudulent user is :

$P(E_2/A)=\frac{P(E_2)\times P(A/E_2)}{P(E_1)\times P(A/E_1)+P(E_2)\times P(A/E_2)}$

$=\frac{(0.999869)(0.3)}{(0.000131)(0.03)+(0.999869)(0.3)}$

$\frac{0.2999607}{0.00000393+0.2999607}$

$\frac{0.2999607}{0.29996463}$

= 0.999986898 ≈ 0.999987

6 0

3 years ago

when two trucks traveling in different directions approach each an intersection at the same time , on of the trucks must change

torisob [31]

This happens because the trucks move in one-dimension, while the airplanes move in 3 dimensions.

<h3></h3><h3>Why the trucks need to change direction or speed while the airplanes don't?</h3>

Well, the trucks move along a street. Thus, we can think that this is an one-dimensional kind of motion.

Where the trucks can go forward, backward, or get out of the line.

In the case of the airplanes, they can move actually in 3 dimensions (the airplane can go upwards, downwards, left, right, etc).

Now, in the one-dimensional case of the trucks there are only two directions (which are opposite) so if the trucks travel in different directions, then the trucks travel into each other, which would cause the collision.

While in the case of the airplanes more directions exists, so there isn't (necessarily) a collision.

If you want to learn more about motion:

brainly.com/question/26048315

#SPJ1

4 0

2 years ago

Help pls D:

olchik [2.2K]

A. The cost of buying x number of concert tickets for $76 each.

3 0

3 years ago

A diving board is 10 feet above the surface of the water. At time t = 0, the board propels Chris upward at a rate of 12 feet per

Art [367]

Answer:

Chris will take 0.75 seconds to return to his starting height of 10 feet.

Step-by-step explanation:

Let the height of Chris be represented by $h(t) = -16\cdot t^{2}+12\cdot t +10$ , where $h(t)$ is the height in feet and $t$ , the time in seconds. First, we equalize the formula to a height of 10 feet and simplify the resulting expression, that is:

$-16\cdot t^{2}+12\cdot t +10 = 10$

$-16\cdot t^{2}+12\cdot t = 0$

Then, we simplify the expression by algebraic means:

$-16\cdot t\cdot \left(t-\frac{3}{4} \right) = 0$

Roots of the polynomial are, respectively:

$t = 0\,s\,\lor \,t = 0.75\,s$

First root represents the initial height of Chris, whereas the second one represents the instant when Christ returns to the same height above the surface of the water. Hence, Chris will take 0.75 seconds to return to his starting height of 10 feet.

5 0

3 years ago

Which of the following is true? |−6| < 5 |−6| < |5| |−5| < |−6| |−5| < −6