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3 years ago

Please help, no links or i will report

Mathematics

2 answers:

skad [1K]3 years ago

7 0

Answer: I think it is 1/5

ch4aika [34]3 years ago

6 0

Answer:

i believe 1/5

Step-by-step explanation:

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An open-top box is to be made from a 12-inch by 24-inch piece of plastic by removing a square from each corner of the plastic an

Nina [5.8K]

Answer:

The maximum possible volume = 332.685 cubic inches

Step-by-step explanation:

From the information given:

Let the height be = x

The length be = 24 - 2x

The width be = 12 - 2x

Then V = x (24 -2x) ( 12 - 2x)

V = x ( 288 -48x - 24x +4x²)

V = x(288 - 72x + 4x²)

V = 288x - 72x² + 4x³

$\dfrac{dV}{dx}= (3x^2 - 36x+ 72)$

$\implies x^2 - 12x + 24 = 0$

$=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

$=\dfrac{-(-12) \pm \sqrt{(-12)^2 - 4(1)(24)}}{2(1)}$

$=\dfrac{12 \pm \sqrt{144 - 96}}{2}$

$=\dfrac{12 \pm \sqrt{48}}{2}$

where;

$x \ne \dfrac{12 + \sqrt{48}}{2}$

∴ $x= \dfrac{12 - \sqrt{48}}{2}$

x = 2.536 ( since the length cannot be negative)

So, the length x = 24 - 2(2.535) = 18.93

The width = 12 - 2(2.535) = 6.93

heigth = 2.536

∴

V = 18.93 × 6.93 × 2.536

V = 332.685 cubic inches

5 0

3 years ago

A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 35 adult Americans an

Y_Kistochka [10]

Answer: a) 15, b) 1.

Step-by-step explanation:

A researcher studying public opinion of proposed social security changes obtains a simple random sample of 35 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more Americans does the researcher need to sample in the following cases?

(a) 10% of all adult Americans support the changes

Here, $np>5\ and\ n(1-p)>5$

And , $p=0.10$

So, consider the equality, to find the value of 'n'.

$np=5\\\\n\times 0.10=5\\\\n=\dfrac{5}{0.10}\\\\n=50$

So, there are $50-35=15$ more adult Americans needed.

(b) 15% of all adult Americans supports the changes

Here, $p=0.15$

So, again we get that

$np=5\\\\n\times 0.15=5\\\\n=\dfrac{5}{0.15}\\\\n=33.33\\\\n\approx 34$

So, there are $35-34=1$ more adult Americans needed.

Hence, a) 15, b) 1.

5 0

4 years ago

Help me guys pleaseeee!

aleksley [76]

6 1/3 = 6 2/6 = 5 8/6

The bottom one is confusing, sorry.

7 0

3 years ago

Handles-n-Things is a small enterprise company buying new carpet for their office room. The room is 15 ft. wide and 24 ft. long.

Helen [10]

Hey there!

To find the area, we multiply the length by the width! The carpet will cover the area of the room.

24×15=360

But, the carpeting is sold in square yards, not feet. There are three feet in a yard, which means that one yard is 1/3 feet. Since we have 360 square feet, we will divide it by three to get yards.

360/3=120

Therefore, the office would need 120 square yards of carpeting.

Have a wonderful day!

4 0

4 years ago

Which describes the cross section of the square prism that passes through the vertices A, B, C, and D shown

sasho [114]

Answer:

first of all,

Step-by-step explanation:

In triangle ABC one side equal and two sides equal

Step-by-step explanation:

We are given a prism whose base is square with sides 8 in and height 12 in.

If we take cross section through vertices A, B and C

We will get a cross section as triangle.

In triangle ABC, sides are AB, BC and AC

AB is diagonal of top square whose side 8 in.

AC is face diagonal of front face.

BC is face diagonal of right face.

AC=BC≠AB

Hence, In triangle ABC one side equal and two side equal

Hope this helps!!

5 0

3 years ago