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Aleksandr-060686 [28]
3 years ago
9

Thissss please‍♀️ AND THANK YOUUU

Mathematics
1 answer:
3241004551 [841]3 years ago
5 0

Answer:

5*5*5*5 = 625

3*3*3*3*3*3 = 729

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A new​ phone-answering system installed by a certain utility company is capable of handling ten calls every 10 minutes. Prior to
Mrrafil [7]

Answer:

0.0137

Step-by-step explanation:

Let X be the random variable that measures the number of incoming calls every ten minutes.

If the incoming calls to the system are Poisson distributed with a mean equal to 5 every 10 minutes, then the probability that there are k incoming calls in 10 minutes is

\bf P(X=k)=\frac{e^{-5}5^k}{k!}

If the phone-answering system is capable of handling ten calls every 10 minutes, we want to find

P(X>10), or the equivalent 1 - P(X≤ 10).  

But

1 - P(X≤ 10)= 1 -(P(X=0)+P(X=1)+...+P(X=10)) =

\bf 1-\left (\frac{e^{-5}5^0}{0!}+\frac{e^{-5}5^1}{1!}+...+\frac{e^{-5}5^{10}}{10!}\right)=\\=1-e^{-5}\left(\frac{5^0}{0!}+\frac{5^1}{1!}+...+\frac{5^{10}}{10!}\right)=1-0.9863=0.0137

So, the probability that in a 10-minute period more calls will arrive than the system can​ handle is 0.0137

6 0
3 years ago
10. A In the adjoining Figure, ab is perpendicular to bc and ed is to cd while bc=cd . prove i) triangle abc is corresponding to
xxTIMURxx [149]

<u>Part</u><u> </u><u>(</u><u>i</u><u>)</u>

1) AB is perpendicular to BC, ED is perpendicular to CD, BC = CD (given)

2) Angles ABC and CDE are right angles (perpendicular lines form right angles)

3) Angles ABC and CDE are equal (all right angles are equal)

4) Angles ACB and DCE are equal (vertical angles are equal)

5) Triangles ABC and EDC are congruent (ASA)

<u>Part</u><u> </u><u>(</u><u>ii</u><u>)</u>

6) AB = DE (corresponding parts of congruent triangles are equal)

4 0
2 years ago
Please help me on both?!?
yarga [219]

Answer:

just mutiply and then add all of it up

Step-by-step explanation:

5 0
3 years ago
Let P be between M and N use the segment addition postulate to solve for X
marta [7]

Step-by-step explanation:

given,

MP = x - 8

PN = 3x - 9

MN = 21

we know,

according to segment addition postulate AB + BC = AC

now,

MP + PN = MN

→ x - 8 + 3x - 9 = 21

→ 4x - 17 = 21

→ 4x = 21 + 17

→ 4x = 38

→ x = 38/4 = 9

→ x = 9

therefore, value of x is 9.

hope this answer helps you dear! take care

5 0
3 years ago
Starting at sea level, a submarine descended at a constant rate to a depth of - 5/6 mile relative to sea level in 3/4 minutes. T
Nostrana [21]

Answer: the many shall not be televised

Step-by-step explanation:

6 0
3 years ago
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