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2 years ago

Type the missing number in this sequence:

Mathematics

2 answers:

Eduardwww [97]2 years ago

6 0

The answer would be 62

Gelneren [198K]2 years ago

3 0

The answer would be 62

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The length of time for one individual to be served at a cafeteria is a random variable having an exponential distribution with a

Leya [2.2K]

Answer:

a) 0.25

b) 52.76% probability that a person waits for less than 3 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \lambda e^{-\lambda x}$

In which $\lambda = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

In this question:

$m = 4$

a. Find the value of λ.

$\lambda = \frac{1}{m} = \frac{1}{4} = 0.25$

b. What is the probability that a person waits for less than 3 minutes?

$P(X \leq 3) = 1 - e^{-0.25*3} = 0.5276$

52.76% probability that a person waits for less than 3 minutes

3 0

2 years ago

Please answer all four geometry questions and show work... I will mark you brainliest and give you five stars

fomenos

Answer: for the first one it is the ll because on the first one it measures 80 degrees for both angles and so for the the second just that it's 90 degrees

For the second 2 questions the are parallel because they don't join together but go straight until infinite.

Step-by-step explanation:

7 0

2 years ago

How do I solve this question?

Murrr4er [49]

Eenbejejejejrhrbeueiiwjsjdje

6 0

3 years ago

Read 2 more answers

1) If the perimeter of triangle STU is 125 cm, and segments TW, VW, and VT measure 21 cm, 30 cm, and 24 cm, respectively, what i

liq [111]

GIVEN: The perimeter of triangle STU is 125.

The segments TW=21 cm

VW=30 cm

VT=24 cm

TO FIND: The length of the segment SU.

SOLUTION:

As corresponding sides must be same. so we have,

$\frac{TV}{TS}=\frac{TW}{TU}\\\\ \frac{24}{TS}=\frac{21}{TU}\\\frac{TU}{TS}=\frac{7}{8}=k(say)\\$

Then, TU=7k and TS=8k

$\frac{TV}{TS}=\frac{VW}{SU}\\\\ \frac{24}{TS}=\frac{30}{SU}\\\frac{24}{8k}=\frac{30}{SU}\\SU=10k$

As the perimeter of triangle STU is 125.

so,

8·k+7·k+10·k=125

⇒25.k=125

⇒k=5

Therefore, SU=10×5=50

4 0

2 years ago

Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His

navik [9.2K]

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Vertex: (1/2,484)

Focus: (1/2, 30975/64)

Axis of Symmetry: x=1/2

Directrix: y=30977/64

x l y

1/2 l 484

1 I 480

A) How long did it take for Jason to reach his maximum height? -b/2a=-16/-32= 1/2s

B) What was the highest point that Jason reached?

484ft ~h(ois)

C) Jason hit the water after how many seconds?

roots -5&6 so 6s

Oh and by the way there is some seriously cool cliff jumps in Acapulco, I'm dying to go.

3 0

2 years ago