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3 years ago

I need the function for the volume of the box for number 1

Mathematics

1 answer:

rjkz [21]3 years ago

3 0

Answer:

Step-by-step explanation:

The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be

V(x) = (28 - 2x)*(22 - 2x)*x

and we want to maximize V(x).

One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.

Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.

I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.

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Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and ob

Romashka-Z-Leto [24]

Answer: The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.

Step-by-step explanation:

The standard deviation of the sampling distribution = $\sqrt{\dfrac{p(1-p)}{n}}$ , where p= population proportion and n = sample size.

Let p be the proportion of fish in a river are catfish.

As per given , we have

p= 0.47

n= 25

The, the standard deviation of the sampling distribution will be $\sqrt{\dfrac{0.47(1-0.47)}{25}}$

$=\sqrt{0.009964}\approx0.0998$

The 10% condition : Sample sizes should be no more than 10% of the population.

But a river can have more than 250 fish [where 10% of 250 =25 (sample size)]

i.e. The 10% condition is met because it is very likely there are more than 250 fish in the river.

So the correct answer is "The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river."

7 0

4 years ago

8. Point Mis 6 units away from the origin. Circle the letter by each pair of possible coordinates. A. (3.0) B. (4.2) C. (5,3) D.

Alex

9514 1404 393

Answer:

D. (0, 6)

Step-by-step explanation:

The origin is where the axes cross. The coordinates of that point are (0, 0). The distance of a point (x2, y2) from point (x1, y1) is given by the distance formula ...

d = √((x2 -x1)² +(y2 -y1)²)

When (x1, y1) = (0, 0), this reduces to ...

d = √(x² +y²)

We want to find (x, y) such that d=6. This can be a little easier if we square both sides of the equation to eliminate the radical.

x² +y² = 6² = 36

This is the equation of a circle of radius 6 centered at the origin: all points that are distance 6 from the origin. So, any point on the circle will be at a distance of 6 from the origin.

The sum of squares in each case is ...

A. 3² +0² = 9 . . . inside the circle

B. 4² +2² = 20 . . . inside the circle

C. 5² +3² = 34 . . . inside the circle

D. 0² +6² = 36 . . . on the circle at a distance of 6 from the origin

E. 4² +4² = 32 . . . inside the circle

F. 1² +5² = 26 . . . inside the circle

6 0

3 years ago

What is the answer for this -6+x=-11

Mars2501 [29]

Answer:

x = -5

Step-by-step explanation:

-6 + x = -11

x = -11 + 6

x = -5

8 0

3 years ago

Read 2 more answers

X+y-5z=24,y+z=1,z=-4

aev [14]

Answer:

x=39, y = 5 and z = -4.

Step-by-step explanation:

x + y - 5z = 24

y + z = 1

z = -4

Plug z = -4 into the second equation:

y + -4 = 1

y = 5.

Now plug x = -4 and y = 5 into the first equation:

x + 5 - 5*4 = 24

x = 24 - 5 + 20

x = 39.

4 0

4 years ago

Solve the system using elimination.<br> 3x+3y=27<br> x-3y=-11

Fantom [35]

3x+3y=27
x-3y= -11

-x-y=-9
x-3y=-11

-4y= -20
y= 5

x-3•5= -11
x=4

(x,y)= (4,5)

7 0

3 years ago