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leonid [27]
3 years ago
10

If you order these 3 from Least I will give 20 points and mark as brilliant 1.)6 3/5, 7 3/4,6.55,6,7.09 2.) 3 8/20,-3.3,3.41,3.2

7,-3 3/12, 3.)4/50,0.8,12/100,-0.4,1/25 explain
Mathematics
1 answer:
natulia [17]3 years ago
4 0

Answer:

1.) 6, 6.55, 6 3/5, 7.09, 7 3/4

2.) -3.3, -3 3/12, 3.27, 3 8/20, 3.41

3.) -0.4, 1/25, 4/50, 12/100, 0.8

Explanation:

1.) 6 3/5, 7 3/4, 6.55, 6, 7.09

6 3/5 -> 6.6

7 3/4 -> 7. 75

Therefore: 6, 6.55, 6 3/5, 7.09, 7 3/4

2.) 3 8/20, -3.3, 3.41, 3.27, -3 3/12

3 8/20 -> 3.04

-3 3/12 -> -3.25

Therefore: -3.3, -3 3/12, 3.27, 3 8/20, 3.41

3.) 4/50, 0.8, 12/100, -0.4, 1/25

4/50 -> 0.08

12/100 -> 0.12

1/25 -> 0.04

Therefore: -0.4, 1/25, 4/50, 12/100, 0.8

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The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.
Ulleksa [173]

Answer:

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

Step-by-step explanation:

We are given the following information in the question:

The time between telephone calls to a cable television service call center follows an exponential distribution with a mean of 1.2 minutes.

The distribution function can be written as:

f(x) = \lambda e^{-\lambda x}\\\text{where lambda is the parameter}\\\\\text{Mean} = \mu = \displaystyle\frac{1}{\lambda}\\\\\Rightarrow 1.2 = \frac{1}{\lambda}\\\\\lambda = 0.84 \\f(x) = 0.84 e^{0.84 x}

The probability for exponential distribution is given as:

P( x \leq a) = 1 - e^{\frac{-a}{\mu}}\\\\P(a \leq x \leq b) = e^{\frac{-a}{\mu} -\frac{-b}{\mu}}

a) P( time between the next two calls will be 54 seconds or​ less)

P( x \leq 0.9)\\= 1 - e^{\frac{\frac{-54}{60}}{1.2}} = 0.52763

0.52763 is the probability that the time between the next two calls will be 54 seconds or​ less.

b) P(time between the next two calls will be greater than 118.5 ​seconds)

p( x > \frac{118.5}{60}) = P(x > 1.975)\\\\ = 1 - P(x \leq 1.975) \\\\= 1 -1+ e^{\frac{-1.975}{1.2}}\\\\= 0.19285

0.19285 is the probability that the time between the next two calls will be greater than 118.5 ​seconds.

6 0
3 years ago
Please help!!!!!!!!!!!!!!!
Sedaia [141]

Step-by-step explanation:

\triangle{ABC} is similar to \triangle{ADE} so we can write the ratio

\dfrac{x}{6+4} = \dfrac{2}{6}

Solving for x, we get

x = \left(\dfrac{2}{6}\right)(10) = \dfrac{10}{3}

6 0
2 years ago
40 POINTS!!!!! A submarine descends to 1/6 of its maximum depth. Then it descends another 2/3 of its maximum depth. If it is now
tia_tia [17]
Its max is 780

2/3 + 1/6 = 5/6

650/5=130

650+130=780
4 0
3 years ago
Roger the park ranger was standing in a look out tower that was 200 ft tall. Looks down, sees a fire. Angle of depression is 7 d
Ainat [17]

Answer:

approx. 24.6 ft

Step-by-step explanation:

x=the distance of the fire from the base of the tower

200ft=the height of the tower

7 degrees=the angle of depression

Using these values you can draw a diagram that highlights that you need to use trig. to work out the answer.

Using Tan:

Tan 7=x/200 ft

multiply both sides by 200 ft

200*tan 7=24.55691218

approx. 24.6 ft

8 0
2 years ago
1/4x + 3/4 = 1/2 ??????????
mart [117]

Answer:

x = -1

Step-by-step explanation:

1/2 = 2/4

____________________________________________________________

1/4x + 3/4 = 2/4

<u>         -3/4     -3/4</u>

1/4x = -1/4

divide by -1/4

x = -1

<em><u>Hope this helped! Have a nice day! Plz mark as brainliest!!!</u></em>

<em><u>-XxDeathshotxX</u></em>

4 0
2 years ago
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