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Vera_Pavlovna [14]
2 years ago
10

What is the surface area of this rectangular prism? SA = ft2

Mathematics
1 answer:
otez555 [7]2 years ago
5 0

Answer:1,504

Step-by-step explanation:

20x16=320

20x12=240

16x12=192

16x20=320

12x16=192

12x20=240

add them all the answer will be 1,504

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I dont understand this question 2/5÷9/4 is the same as which of the following?​
OLga [1]

Answer:

Step-by-step explanation:

You didn't list anything to choose from.

2/5÷9/4 When you have a division and fraction after it, change the sign to multiplication and flip the fraction.

2/5 * 4/9

8/45

4 0
3 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

6 0
3 years ago
Simplify the expressions<br><br> 5(3+m)-7<br><br> f+4(f-2)<br><br> 1/2x+3/8x+x
34kurt

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

3 0
3 years ago
Magdalena bought a sweater that costs “d” dollars she paid the clerk $40 she received $5.19 in change which equation represents
trasher [3.6K]

Answer:

40-d=5.19

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
What is the slope of a line that goes through points (-5, -7) and (-4, 1)​
andrey2020 [161]

Answer:

\displaystyle m=8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Slope Formula: \displaystyle m=\frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

Point (-5, -7)

Point (-4, 1)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>

  1. Substitute in points [SF]:                    \displaystyle m=\frac{1+7}{-4+5}
  2. [Fraction] Add:                                    \displaystyle m=\frac{8}{1}
  3. [Fraction] Divide:                                \displaystyle m=8
7 0
3 years ago
Read 2 more answers
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