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3 years ago

Explain what H means, and why 10H + 6 - 5H + 3 is a simplified expression of 5H + 9 ?

Mathematics

1 answer:

andrezito [222]3 years ago

6 0

Answer: H is the group 10H and -5H is in.

Step-by-step explanation:

When you are doing this equation you classify group by their variables. If they do not have a vairable they are called "constants". It is a simplified version of 5h + 9, this is because of the way you do the problem. You are going to add 3 + 6. Then you are going to add 10H + ( - 5H ). So you are going to end up with 5H and 9 from your equations. Now you are going to form the equation 5H + 9.

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Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25

aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

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:

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

The mean time for the component failure is 2500 hours.

This means that $m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004$

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

$P(X > x) = e^{-0.0004*5000} = 0.1353$

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0

3 years ago

The probability that a child will learn to swim before age 6 is 0.312. If you take a group of 12 children, what is the probabili

vagabundo [1.1K]

Answer:

The probability of 1 or less children from that group to learn how to swim before 6 years of age is 0.072

Step-by-step explanation:

In this case we need to compute the probability of none of these 12 children learns to swim before 6 years of age. This is given by:

p(0) = (1 - 0.312)^(12) = 0.688^(12) = 0.01124

We now need to calculate the probability that one child learns to swim before 6 years of age.

p(1) = 12*0.312*(1 - 0.312)^(11) = 3.744*(0.688)^(11)

p(1) = 3.744*0.01634

p(1) = 0.0612

The probability of 1 or less children from that group to learn how to swim before 6 years of age is:

p = p(0) + p(1) = 0.01124 + 0.0612 = 0.07244

6 0

3 years ago

George borrowed $25,000 for a new car. If George pays simple interest at a rate of

viktelen [127]

Answer:

B 4,500

Step-by-step explanation:

I basically just guessed and if hes paying the interest then its gotta be a bit less then the price of the car I think if it's wrong my apologies

5 0

3 years ago

Write:<br> 3^-4 in standard form

pav-90 [236]

Answer:

$\frac{1}{81}$

Step-by-step explanation:

<u>Key skills: Exponents + Fractions</u>

Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y

3^-4 is the same as $\frac{1}{3^{4}}$

3^4 is 81, so your answer would be 1/81.

Hope you have a nice day and understood this!

4 0

3 years ago

who else learned how to do word problems and different math problems really good and then just forgot them & now ur sad cuz

Brilliant_brown [7]

Answer:

yuh

Step-by-step explanation:

add me on rbIx and follow me IMAO : ivxvxi

7 0

3 years ago