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3 years ago

Given that

Mathematics

1 answer:

valentina_108 [34]3 years ago

6 0

Answer: x= -3.25

Step-by-step explanation:

R=4x+6y 11=4x+6(4) 11=4x+ 24 11-24=4x -13=4x -13/4=x x=-3.25

11=4(-3.25)+ 6(4) 11= -13+24

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P(A) = 0.8, P(B) = 0.55 and P(A and B) = 0.35.<br> What is P(A or B)?

Likurg_2 [28]

<h3>Answer: 1</h3>

Work Shown:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.8 + 0.55 - 0.35

P(A or B) = 1.35 - 0.35

P(A or B) = 1

A probability of 1 means there is 100% certainty the event happens. This must mean that there are only possible outcomes are: either event A happens, or B happens, or possibly both A and B happen simultaneously.

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2 years ago

Read 2 more answers

MATH!!! I HAVE NO IDEA HOW TO DO THIS PLEASE SHOW ME THE WORK I WANNA KNOW HOW TO DO THIS FOR THE NEXT QUESTION!!!!

zimovet [89]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

Sorry I'm late!

Step-by-step explanation:

<em>Formula ⇒ </em> $A = \frac{1}{2}bh$

$A = \frac{1}{2}bh$

$A = \frac{1}{2}(5)(7)$

$A = \frac{1}{2}(35)$

$A = 17.5$

<h3>The Area of the face of the triangle is 17.5 in²</h3>

I hope this helps!

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3 years ago

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes

andre [41]

Answer:

0.7788 = 77.88% probability that more than three customers arrive in 10 minutes

Step-by-step explanation:

Exponential distribution:

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

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

In which $\mu = \frac{1}{m}$ 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, we have that:

The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that $m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833$