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3 years ago

What is the difference between 245.67 and 136.579

Mathematics

2 answers:

____ [38]3 years ago

8 0

Answer: 382.249

I can not write out the process bc im about to go to sleep

Marina86 [1]3 years ago

6 0

Answer:

109.091

Step-by-step explanation:

When finding the difference between two numbers, you always subtract the smaller number from the bigger number. So, in this case, 245.67 is greater than 136.579, therefore we need to subtract 136.579 from 245.67. 245.67 - 136.579 = 109.091, the answer is 109.091.

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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

Kurt and Maria's high school is having a newspaper drive.The goal is to collect 3,585 pounds of newspapers. So far, 21% of the g

Novay_Z [31]

Options:

Who is right, and why?

a. Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.

b. Kurt is right, because finding 1/5 of 3,600 is not a good way to approximate 21% of 3,585.

c. Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Answer:

Step-by-step explanation:

Given

$Goal = 3585$

$Collected = 21\%$

$Kurt= 10\% * 3600 * 2$

$Maria = \frac{1}{5} * 3600$

Required [Missing from the question]

Who is correct and why?

First, we calculate the actual amount collected.

$Actual = Collected * Goal$

$Actual = 21\% * 3585$

$Actual = 752.85$

$Actual = 753$ --- approximate

Next, determine the estimate (round 3585 to 3600 and 21% to 20%)

$Estimate = 20\% * 3600$

$Estimate = 720$

Next, calculate Kurt and Maria's estimates

$Kurt= 10\% * 3600 * 2$

$Kurt = 720$

$Maria = \frac{1}{5} * 3600$

$Maria = 720$

<em>Hence, Kurt and Maria are correct because of option (d)</em>

7 0

3 years ago

Write y = x2 + 24x + 144 as a square of binomial.

irina1246 [14]

Answer:

$y=(x+12)^2\\$

Step-by-step explanation:

To write a quadratic equation into binomial form we can compare the equation into the completing square form of a quadratic equation like this ,

$y=a(x-h)^2+k$

now since,

$y=x^2+24x+144$

we can equate both the equations from left hand side to right hand side like this,

$x^2+24x+144=a(x-h)^2+k\\$

now we solve,

$x^2+24x+144=a(x-h)^2+k\\x^2+24x+144=a((x)^2-2(x)(h)+(h)^2)+k\\x^2+24x+144=a(x^2-2hx+h^2)+k\\x^2+24x+144=ax^2-2ahx+ah^2+k\\$

now we compare the coefficients of x^2:

$1 = a\\$

now we compare the coefficients of x :

$24=-2ah\\24=-2(1)h\\24=-2h\\\frac{24}{-2}=h\\-12=h\\$

now we compare the constants , (constants are the letters which are not associated with any variable in this case the variable is x)

$144 = ah^2+k\\144=(1)(-12)^2+k\\144=(1)(144)+k\\144=144+k\\144-144=k\\0=k\\$

so now the value we got all the values for the completing square form we plug those in , a = 1 , h = -12 , k = 0 ,

$y=a(x-h)^2+k\\y=1(x-(-12))^2+0\\y=(x+12)^2\\$

this is the square of a binomial, if you want to verify if we expands this formula by the formula of (a + b)^2 we would get the same result. Thus this is the correct answer.

5 0

3 years ago

In fractions how do you subtract three two from five sixths

irga5000 [103]

$\frac{5}{6} - \frac{3}{2} = \frac{5}{6} - \frac{9}{6} = - \frac{4}{6} - = - \frac{2}{3}$

3 0

3 years ago

the perimeter of a triangle is 12b+5. Two sides have the following length:4b and 3b+15. What is the length of the third side?

scZoUnD [109]

Answer:The length of the third side 2.5.

Step-by-step explanation:

We already know the length of two side but we don’t know the length of one side so we will represent it by b and we know they three lengths add up to 12b+5.

4b + 3b+15 +b =12b + 5

Solve for b.

8b +15=12b +5

-8b -8b

15+4b +5

-5 -5

4b/4=10/4

B=2.5

So the length of the third side is 2.5

4(2.5) + 3(2.5)+15+2.5=12(2.5)+5

35=35

5 0

3 years ago