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3 years ago

Find the volume of the solid bounded by the planes x = 0, y = 0, z = 0, and x + y + z = 8

1 answer:

ozzi3 years ago

3 0

***** sketch power in math *****

If we sketch the shape of the solid, it is a corner of a cube of side length 8.
Hence the volume is one-sixth of a cube,
Volume = 8^3/6=256/3=85.333...

Or it is a pyramid with triangular base with two faces perpendicular to the base,
area of base = 8^2/2=32, height=8, so
volume = Ab*h/3=32*8/3=256/3=85.333... as before

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Cari owns a horse farm and a horse trailer than can transport up to 8000 pounds of livestock and tack. She travels with 5 horses

tatuchka [14]

In order to find out the answer for this, let us try to analyze the question. Since it is given that 6240 pounds is the total weight of her 5 horses and t represents the weight of each tack per horse, the inequality that could be used to determine the weight of tack Cari can allow for each horse would be this: <span>6240+5t≤8000
6240+5t indicates the total weight, and that this weight does not exceed 8000. Hope this answer helps.</span>

7 0

3 years ago

What are the x-intercept and y-intercept of the graph of y=13x−6 ?

mestny [16]

Answer:

x intercept is 6/13

y intercept is -6

Step-by-step explanation:

x intercepted when y is zero.

y intecepted when x is zero...

3 0

3 years ago

Grasshoppers are distributed at random in a large field according to a Poisson process with parameter a 5 2 per square yard. How

HACTEHA [7]

In this question, the Poisson distribution is used.

Poisson distribution:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Parameter of 5.2 per square yard:

This means that $\mu = 5.2r$ , in which r is the radius.

How large should the radius R of a circular sampling region be taken so that the probability of finding at least one in the region equals 0.99?

We want:

$P(X \geq 1) = 1 - P(X = 0) = 0.99$

Thus:

$P(X = 0) = 1 - 0.99 = 0.01$

We have that:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-5.2r}*(5.2r)^{0}}{(0)!} = e^{-5.2r}$

Then

$e^{-5.2r} = 0.01$

$\ln{e^{-5.2r}} = \ln{0.01}$

$-5.2r = \ln{0.01}$

$r = -\frac{\ln{0.01}}{5.2}$

$r = 0.89$

Thus, the radius should be of at least 0.89.

Another example of a Poisson distribution is found at brainly.com/question/24098004

3 0

3 years ago

Which equation can be used to determine p, the cost of s swimsuits

ch4aika [34]

is there more to the question? because in order find "s" I need to know the question but a majority of the time you would multiply the amount of money the suit cost by the quantity.

Im a math intern.

6 0

3 years ago

I found this answer on the Internet. *If* it were an original answer, below is how I would grade it and why.

Dennis_Churaev [7]

Answer:

1) It is given that line AB is tangent to the circle at A.

∴ ∠CAB = 90º (Tangent at any point of a circle is perpendicular to the radius throught the point of contact)

Thus, the measure of ∠CAB is 90º.

4 0

3 years ago