Given the sequence 5,1,3 which term of sequence is -75<br>

How many intersections are there of the graphs of the equations below? x + 5y = 6 3x + 30y = 36 none one two infinitely many Mar

denpristay [2]

I believe the answer would be the second option. The equations given above when graph would intersect only once with each other. They intersect at only point (0,6/5). These are the values of x and y that will agree to the equation. Two equations in a set will always intersect at only one point.

5 0

1 year ago

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Which of the following proves ABC DEF?

Svetllana [295]

Where are the answer choices?

7 0

2 years ago

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The lifetime of a cheap light bulb is an exponential random variable with mean 36 hours. Suppose that 16 light bulbs are tested

photoshop1234 [79]

Answer:

$P(T$

Step-by-step explanation:

Previous concepts

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}, x>0$

And 0 for other case. Let X the random variable that represent "The number of years a radio functions" and we know that the distribution is given by:

$X \sim Exp(\lambda=\frac{1}{16})$

Or equivalently:

$X \sim Exp(\mu=16)$

Solution to the problem

For this case we are interested in the total T, and we can find the mean and deviation for this like this:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}=\frac{T}{n}$

If we solve for T we got:

$T= n\bar X$

And the expected value is given by:

$E(T) = n E(\bar X)= n \mu= 16*36=576$

And we can find the variance like this:

$Var(T) = Var(n\bar X)=n^2 Var(\bar X)= n^2 *\frac{\sigma^2}{n}=n \sigma^2$

And then the deviation is given by:

$Sd(T)= \sqrt{n} \sigma=\sqrt{16} *36=144$

And the distribution for the total is:

$T\sim N(n\mu, \sqrt{n}\sigma)$

And we want to find this probability:

$P(T< 600)$

And we can use the z score formula given by:

$z=\frac{T- \mu_T}{\sigma_T}$

And replacing we got this:

$P(T$

6 0

2 years ago

On a coordinate plane, solid circles appear at the following points: (negative 4, 2), (negative 2, 2), (negative 1, 4), (1, 1),

Elenna [48]

Answer:

(1, 3)

Step-by-step explanation:

Given:

A circle with the following points on it-

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

A function is just like a machine that gives an output for a given unique input. No two outputs can have the same input.

The input to a function is called the domain of a given function. The output of a function is called its range.

The domain is represented by the 'x' coordinate and the range is represented by the 'y' coordinate.

So, the domain is the independent variable and range depends on the values of the domain.

Now, a relation of set of points represents a function only if all the 'x' coordinates of the set of ordered pairs are different.

Now, in the relation above, the ordered pairs (1, 1) and (1, 3) have the same input. So removing either of the two will make the relation a function.

So, the correct option is (1, 3).

5 0

1 year ago

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Petra is shopping with 2 of her friends. She buys a note book and six identical pencils. The note book costs the same as 2 of th

max2010maxim [7]

Answer: £4.20

Each 2 of pencils is £4.20 multiply that by 3 your get 12.60, the notebook is the same price of 2 pencils so that must mean it is £4.20

4.20 x 4 = 16.80

3 £4.2 from the 6 pencils

and 1 £4.2 from the notebook

Hope this helps!

3 0

2 years ago

Given the sequence 5,1,3 which term of sequence is -75​

Given the sequence 5,1,3 which term of sequence is -75