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3 years ago

The perimeter of the triangle is 350 units. Find the measure of each side (label your answers).

Mathematics

1 answer:

WITCHER [35]3 years ago

5 0

Answer:

125, 105, 120

Step-by-step explanation:

You would first make an equation with what you know:

x + 45 + x + 25 + x + 40 = 350.

Now, you would simplify and add like terms.

3x + 110 = 350

Now, you would subtract 110 from both sides.

3x = 240

Now, you would divide both sides by 3.

x = 80

Now that you know what x is, simply plug it in to the respective equations for all three sides.

x + 45 would become 80 + 45, and add up to 125.

x + 25 would become 80 + 25, and add up to 105.

x + 40 would become 80 + 40, and add up to 120.

To check your work, you would now add the three totals.

125 + 105 + 120 = 350.

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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:

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

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

6 0

3 years ago

What is an exponent for 147

Yuri [45]

147 is not a prime number 147= 49 * 3
49 is divisable by 7: 49= 7 * 7
7 is not divisable by anything

5 0

3 years ago

A basket contains red, green, and yellow peppers. A pepper is

Ghella [55]

A basket contains red, green, and yellow peppers. A pepper is

selected at random. If P(red) = and P(yellow) = 1 what

is P(green)?

yes, it would be green.

5 0

3 years ago

70 POINTS!

Sunny_sXe [5.5K]

Notation

The inverse of the function f is denoted by f -1 (if your browser doesn't support superscripts, that is looks like f with an exponent of -1) and is pronounced "f inverse". Although the inverse of a function looks like you're raising the function to the -1 power, it isn't. The inverse of a function does not mean the reciprocal of a function.

Inverses

A function normally tells you what y is if you know what x is. The inverse of a function will tell you what x had to be to get that value of y.

A function f -1 is the inverse of f if

for every x in the domain of f, f -1[f(x)] = x, andfor every x in the domain of f -1, f[f -1(x)] = x

The domain of f is the range of f -1 and the range of f is the domain of f -1.

Graph of the Inverse Function

The inverse of a function differs from the function in that all the x-coordinates and y-coordinates have been switched. That is, if (4,6) is a point on the graph of the function, then (6,4) is a point on the graph of the inverse function.

Points on the identity function (y=x) will remain on the identity function when switched. All other points will have their coordinates switched and move locations.

The graph of a function and its inverse are mirror images of each other. They are reflected about the identity function y=x.

6 0

4 years ago

The point (-3, 2) lies on a circle. What is the length of the radius of the circle if the center is located at (-1, 5)?

enot [183]

Answer:

R: √(13)

Step-by-step explanation:

Distance formula:

r^2 = (x-h)^2 + (y-k)^2

Center: (h,k)=(-1,5)

Circle: all points of (x,y)=(-3,2)

r^2=(-3+1)^2 + (2-5)^2

r^2=(-2)^2 + (-3)^2

r^2= 4 + 9

r^2=13 ((r^2)^(1/2)) = 13^(1/2) = 3.6055

8 0

3 years ago