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Kazeer [188]
3 years ago
5

Solve the volume formula V = lwh for w

Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0

Answer:

v/lh = w

Step-by-step explanation:

Divide Both Sides by the length and height to isolate width.

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What is the volume of a cube with a side length that measures 8cm? ANWSER ASAP please
NeTakaya
What you do is 8 x 8 x 8 and cube your number 
=512
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Samantha puts an initial $500 into a savings account. The account has a 4% annual compound interest rate. What is the function t
konstantin123 [22]
Hello! I can help you with this!

a. The function that would best represent Samantha's account is f(5) = 500(1 + 0.04)^5. This is because $500 is the principal, the interest rate is 4%, and we're looking for the amount in the savings account 5 years later.

b. Okay. 1 = 0.04 is 1.04. 1.04^5 is 1.216652902. It's a long decimal, but don't delete it. Multiply that decimal by 500 and you get 608.32645 and other numbers behind it or 608 when rounded to the nearest dollar. Samantha will have about $608 in her savings account in 5 years.

Note: The formula goes like this: f(x) = P(1 + r)^x. This means, you add 1 and the simple interest rate in decimal form together and raise that up by the exponent. There is no shortcuts for this, so you'll have to use the calculator. There will be a very long decimal, but don't clear it. Instead, multiply it by the principal to get the answer. It seems very complicating, but if you do this right, it gets easier overtime and you'll make less errors. There are more complex problems out there, so this formula is very important, but it was kept simple for this question.
7 0
3 years ago
Explain how to find the range of a data set. What is an advantage of using the range as a measure of​ variation? What is a​ disa
Eduardwww [97]

Answer:

1) The range is found by subtracting the minimum data entry from the maximum data entry.

2)  It is easy to compute.

3)  It uses only two entries from the data set.    

Step-by-step explanation:

We are given the following information in the question:

1) Range is difference between the highest value and the lowest value of the data.

  • To find the range we first arrange the data in the increasing order and then select the highest and the lowest value of the data, Then the lowest value is subtracted from the highest value to find the range.

Option A) The range is found by subtracting the minimum data entry from the maximum data entry.

2) Advantage of range as a measure of variation.

  • Since the method to calculate range of a data set is very easy, it is one of the advantages to use range as a method of variation.

Option B)  It is easy to compute.

3) Disadvantage of range to use as a method of variation.

  • The disadvantage of using range is that it does not measure the spread of the data set
  • It only measures the spread between highest and lowest data points in data set.

Option C) It uses only two entries from the data set.

4 0
3 years ago
What is y+x find the answer
Zigmanuir [339]

What is y+x?


Answer:

<span>= <span>x+<span>y</span></span></span>

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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

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3 years ago
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