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3 years ago

How do you find surface area of a rectangle prism

2 answers:

4 0

The formula to find it is 2(l x h + h x w + w x l) = SA in which l = length, h = height, and w = width.

Hope this helps!

Svetllana [295]3 years ago

4 0

Hey there!

Surface area is comparable to area of a shape, like a rectangle or square, but it's for a rectangular prism, which is a 3D shape. Therefore, we have an entirely different formula. It gives us the sum of the areas of all the faces- so instead of finding one area for one shape, we find all the areas for a 3D shape (a rectangular prism is made of rectangles).

We use the formula:

2(lw + wh + lh)

So, if our length was 1, width was 2, and height was 3, we'd have:

2(1*2 + 2*3 + 1*3) =
2(2 + 6 + 3) =
2(8 + 3) =
2(11) =
22 units squared.

Hope this helps!

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Five individuals from an animal population thought to be near extinction in a certain region have been caught, tagged, and relea

Talja [164]

Answer:

a) For this case the random variable X follows a hypergometric distribution.

b) $E(X)= n\frac{M}{N}=10 \frac{5}{25}=2$

$Var(X)=n \frac{M}{N}\frac{N-M}{N}\frac{N-n}{N-1}=10\frac{5}{25}\frac{25-5}{25}\frac{25-10}{25-1}=1$

c) $P(X=0)= \frac{(5C0)(25-5 C 10-0)}{25C10}=\frac{1*184756}{3268760}=0.0565$

d) $P(X=5)= \frac{(5C5)(25-5 C 10-5)}{25C10}=\frac{1*15504}{3268760}=0.00474$

Step-by-step explanation:

The hypergometric distribution is a discrete probability distribution that its useful when we have more than two distinguishable groups in a sample and the probability mass function is given by:

$P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}$

Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes

The expected value and variance for this distribution are given by:

$E(X)= n\frac{M}{N}$

$Var(X)=n \frac{M}{N}\frac{N-M}{N}\frac{N-n}{N-1}$

a. What is the distribution of X?

For this case the random variable X follows a hypergometric distribution.

b. Compute the values for E(X) and Var(X)

For this case n=10, M=5, N=25, so then we can replace into the formulas like this:

$E(X)= n\frac{M}{N}=10 \frac{5}{25}=2$

$Var(X)=n \frac{M}{N}\frac{N-M}{N}\frac{N-n}{N-1}=10\frac{5}{25}\frac{25-5}{25}\frac{25-10}{25-1}=1$

c. What is the probability that none of the animals in the second sample are tagged?

So for this case we want this probability:

$P(X=0)= \frac{(5C0)(25-5 C 10-0)}{25C10}=\frac{1*184756}{3268760}=0.0565$

d. What is the probability that all of the animals in the second sample are tagged?

So for this case we want this probability:

$P(X=5)= \frac{(5C5)(25-5 C 10-5)}{25C10}=\frac{1*15504}{3268760}=0.00474$

4 0

4 years ago

Triangle ABC is rotated to form triangle MNO. Which of these statements would prove that the two triangles are congruent?

Sonbull [250]

Answer:A

Step-by-step explanation:

6 0

3 years ago

The population distribution of SAT scores is normal with a mean of μ=500 and a standard deviation of SD=100. For example, what i

vitfil [10]

Answer:

0.02275

Step-by-step explanation:

We use the z score formula to solve for this

z-score is given as: z = (x-μ)/σ

where x is the raw score,

μ is the population mean

σ is the population standard deviation

In the above question:

mean of μ=500

a standard deviation of SD=100

raw score x = 700

Hence, z score = (700 - 500)/ 100

= 200/100

= 2

z score = 2

Using the z score table of normal distribution to find the Probability of z = 2

P( x = z)

= P(x = 700)

= P( z = 2)

= 0.97725

P(x>700) = 1 - P(x = 700)

= 1 - 0.97725

= 0.02275

Therefore, the probability of randomly selecting an individual from this population who has an SAT score greater than 700 is 0.02275

7 0

3 years ago

Is this statement true or false?

Sloan [31]

Answer:

True

Step-by-step explanation:

A down payment is mostly for deposit reasons with insurance. It also let's the landlord know you will be moving in soon. They will use that money for repairs when you move out. You have a chance of getting it pack if they find no damages :D

3 0

4 years ago

Read 2 more answers

Is z=4x+9y literal or not

miskamm [114]

Answer: Yes

Explanation: The equation has 3 variables

8 0

3 years ago

Read 2 more answers