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3 years ago

Which of the binomials below is a factor of this trinomial?

Mathematics

1 answer:

Margaret [11]3 years ago

6 0

$4x^2+20x-24=4(x^2+5x-6)=4(x^2+6x-x-6)\\\\=4[x(x+6)-1(x+6)]=4(x+6)(x-1)\\\\Answer:\ A)\ x-1$

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What is j(3) equal to?<br> j:t = 4t^2<br> I(3)=?

VARVARA [1.3K]

4*3^2 = 36. Is that what you meant?

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3 years ago

A 48 fluid ounce container orange juice cost $2.40. 60 fluid ounce container of orange juice cost $3.60. Which is the better buy

Allushta [10]

48 fluid ounce it is $0.40 per fl oz, while the other one is $0.60 per fl oz

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4 years ago

An insurance company has 25,000 automobile policy holders. If the yearly claim of a policy holder is a random variable with mean

telo118 [61]

Answer:

$P(T>8300000)=1-P(T$

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

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 Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Data given

n = 25000 represent the automobile policy holders

$\mu= 320$ represent the population mean

$\sigma =540$ represent the population standard deviation

Let T the variable that represent the total of interest on this case. We can assume that the random variable for an individual policy holder is given by:

$X\sim N(\mu = 540, \sigma=540)$

From the central limit theorem we know that the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

Solution to the problem

First we need to find the distribution for the random variable T like this:

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

And the total T is given by:

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

We can find the expected value, variance and deviation for this random variable like this:

$E(T)= n E(\bar X) = n \mu = 25000*320=8000000$

$Var(T)= Var(n\bar X)= n^2 Var(\bar X) = n^2 \frac{\sigma^2}{n}=n \sigma^2 =25000*(540^2)=7290000000$

$Sd(T)=\sqrt{7290000000}=85381.497$

And we are interested on this probability:

$P(T>8300000)$

And we can use the Z score formula given by:

$Z=\frac{T-E(T)}{\sigma_T}$

$P(T>8300000)=1-P(T$

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3 years ago

Which rigid transformation does NOT result in a reversed orientation of the original image? Justify your answer

Mekhanik [1.2K]

A reflection. That is because when reflecting an image you use a line of reflection, so basically a mirror image has been created so the orientation doesn't change.

Hope that helped :)

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3 years ago

Read 2 more answers

Graph the function.<br> f(x) = 2x² - 5

kramer

Answer:

Here is your answer:

Step-by-step explanation:

Paste the function in a graph maker!

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3 years ago