Carmine is packing 27 superballs in 3 square layers. Each ball has a diameter of 4 cm.

- What is he minimum volume of the box
- What is the surface area of the box
- How much empty space is in the box. ( round your answer to 2 decimal places)

Answers

Answer 1
Assuming the diameter of the ball = side of square
To stack 27 balls, we need 9 layers of 3 square each
Total space = 27 x 4³ = 1728 cm³
Total space occupied by 27 spherical balls = 27 x 4/3 π (4/2)³ = 904.78 cm³
Empty space = 1728 - 904.78 = 823.22 cm³

Related Questions

Mrs Sogiba is catering for her son's birthday party. She has invited some of
her son's friends to theparty. The number of friends is a compositemultiple of her
son's age on his birthday. She has baked 48 cup cakes and each childwill receive
exactly the same number of cupcakes. Use your knowledge of factors and multiples
to find out how old her son will be on this birthday.

Answers

Answer:

48 cupcakes divided by the boys age equals amout of cupcakes per person.

Step-by-step explanation:

The television show 50 Minutes has been successful for many years. That show recently had a share of 15, which means, that among the TV sets in use, 15% were tuned to 50 Minutes. An advertiser wants to verify that 15% share value by conducting its own survey, and a pilot survey begins with 15 households have TV sets in use at the time of a 50 Minutes broadcast.

Required:
a. Find the probability that none of the households are tuned to Lindsay and Tobias. (Round to three decimal places as needed)
b. Find the probability that at least one household is tuned to Lindsay and Tobias.
c. Find the probability that at most one household is tuned to Lindsay and Tobias.
d. If a most one household is tuned to Linday and Tobias, does it appear that the 15% share value is wrong? Why or wh not?

Answers

Answer- b

Step-by-step explanation:

its b

A design engineer wants to construct a sample mean chart for controlling the service life of a halogen headlamp his company produces. He knows from numerous previous samples that this service life is normally distributed with a mean of 500 hours and a standard deviation of 20 hours. On three recent production batches, he tested service life on random samples of four headlamps, with these results.

Sample Service Life (hours)
1 495 500 505 500
2 525 515 505 515
3 470 480 460 470

1. What is the sample mean service life for sample 2?

a. 460 hours
b. 495 hours
c. 515 hours
d. 525 hours

2. What is the mean of the sampling distribution of sample means for whenever service life is in control?

a. 250 hours
b. 470 hours
c. 495 hours
d. 500 hours
e. 515 hours

Answers

Answer:

1. c. 515 hours

2.  c. 495 hours

Step-by-step explanation:

Sample mean:

Sum of all values in the sample divided by the number of values.

1. What is the sample mean service life for sample 2?

Sample 2 has four values, which are:

525 515 505 515

So

[tex]M = \frac{525+515+505+515}{4} = 515[/tex]

The answer is given by option C.

2. What is the mean of the sampling distribution of sample means for whenever service life is in control?

3 samples, 12 total values. We find the mean of all these values. So

[tex]M = \frac{495+500+505+500+525+515+505+515+470+480+460+470}{12} = 495[/tex]

The answer is given by option C.

5th grade math. correct answer will be marked brainliest

Answers

Answer:

8 1/12 boxes

Step-by-step explanation:

Your first step to solve this problem is to convert those fractions to a common denominator. I would choose 12. So your first would be 4 4/12 and your second would be 3 9/12. You would then add those up and get 8 1/12 boxes of muffins bought at the bake sale.

What is the COEFFICIENT in the expression s + 16?

Answers

8 I think I hope you get this right

Answer:

I think its 16

Step-by-step explanation:

Find the factors of a trinomial: 121m^2-49m^2

Answers

Answer:

alam ko ang tamat mali ngonit akot sabogna

which expression is equivalent to x-5/3? 1/5√3^3 1/3√x^5 -3√x^5 -5√x^3​

Answers

Answer:

What grade is this 12th?

Step-by-step explanation:

The equivalent expression for the expression given; (( 5/7 )² × (1/3)-³)-¹ is; (7/5)² • (1/3)³.

What is the equivalent expression for the given expression?

It follows from the task content that the expression which is equivalent to that which is given is to be determined.

here, we have,

Hence, since the given expression is; (( 5/7 )² × (1/3)-³)-¹;

It follows from the power of powers law of indices that we have;

( 5/7 )-² • (1/3)³

Also, according to the negative exponent law of indices; we have;

(7/5)² • (1/3)³.

On this note, the required equivalent expression is; (7/5)² • (1/3)³.

Read more on equivalent expressions;

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Question 1 Arecipe for a chicken and rice dinner calls for 3 cups of rice for every 2 pounds of chicken. Select the true statement at There are 3 cups of rice for every 5 pounds of chicken. C B The ratio of pounds of chicken to cups of rice is 2 to 3. С The ratio of cups of rice to pounds of chicken is 2:1. D The ratio of pounds of chicken to cups of rice is 3.2. nate Education, Inc.​

Answers

Answer:

The ratio of pounds of chicken to cups of rice is 2 to 3.

Step-by-step explanation:

3 rice: 2 chicken

3:2 ratio

can be written either number first

HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!

Answers

Answer:

area of rectangle =72in

area of triangle = 3in

square in of plastic in ruler =69in

need help figuring this out ​

Answers

Answer:

think it is d

Step-by-step explanation:

Please help me asap! sorry this si english =(

Answers

1. Disappoint
2. Recall
3. Disgusted
4. Reunited
5. Prepare

ANSWER FAST!! All of the following angle pairs are ALWAYS congruent when a transversal passes through 2 parallel lines EXCEPT:

Adjacent angles

Alternate Interior Angles

Alternate Exterior Angles

Corresponding Angles

Answers

Answer:

Adjacent angles

Step-by-step explanation:

Suppose that 20% of voters are in favor of a certain legislation. A large number n of voters are polled and a relative frequency estimate fA(n) for the above proportion is estimated. How many voters should be polled so that the probability is at least 0.95 that fA(n) differs from 0.20 by less than 0.02?

Answers

Answer:

8000 voters

Step-by-step explanation:

E is the difference between probability that is real and those which are estimated

Sd² = p(1-p)

When solve this, using the formula in the attachment,

0.95 = 1-0.2(0.2)²/n(0.02)

0.95 = 1 - 0.16/n(0.02)²

1-0.95 = 0.16/n(0.02)²

0.05 = 0.16/0.0004n

We cross multiply here

0.05 x 0.0004n = 0.16

0.00002n = 0.16

Divide through by 0.00002 to get n

n = 8000

This is the number of voters that should be polled

Three of 25 students in an art class are left-handed. in another words, 12% of the students in the class are left handed what does number 3 represent​

Answers

Answer:

The number of students that are left handed

Step-by-step explanation:

Answer:

it represent 3 students

Pls help if not that’s fine just pls stop with the links

Answers

Answer:

C. 73 and 73

Step-by-step explanation:

An isosceles triangle has two angles that are the same, that narrows it down to C and D. The question states that there is only one 34° angle so it has to be C.

Answer:

C. 73° and 73°

Step-by-step explanation:

We know that the sum of interior angles in a triangle is equal to 180° and

Isosceles triangles has two angles with same measurement

it stated in the question that exactly one angle has measure of 34°

So the other two angles must be equal for the triangle to be isosceles

180 - 34 = 146 and this divided by 2

73° and 73° is the answer.

Help fund BFF he try herh

Answers

Answer:

The correct answer is C: 1.8 Miles

Step-by-step explanation:

Round 7.54 please I need help

Answers

Round it to make it a whole number makes it 8 but in decimal form it would stay 7.5

What is the result of the operation

Answers

Multiplication is the process of multiplying. The correct option is D.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The result of the given operation can be written as,

[tex]-2\left[\begin{array}{ccc}-3&5&1\\8&-2&3\\2&1&-4\end{array}\right][/tex]

Since for a multiplication operation, each element of the matrix is multiplied with the given term, therefore, the matrix can be written as,

[tex]= \left[\begin{array}{ccc}-3\times -2&5\times -2&1\times -2\\8\times -2&-2\times -2&3\times -2\\2\times -2&1\times -2&-4\times -2\end{array}\right][/tex]

Solving the multiplication, we will get,

[tex]=\left[\begin{array}{ccc}6&-10&-2\\-16&4&-6\\-4&-2&8\end{array}\right][/tex]

Hence, the correct option is D.

Learn more about Multiplication here:

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help meeeeeee its all due toad​

Answers

Well, the answer would bee 1/10 for a simple reason: the 3 in 7.315 is in the tenth's spot while the 3 in 893.5 is in the ones. a one spot different that can be proven with logic.

First one to answer gets BRAINLIEST no cap look at the picture.

Answers

Answer:460

Step-by-step explanation:

I need help finding the area and perimeter to this question. Pls help!! Thank you!

Answers

Answer:

Perimeter: 50.27

Area: 201.06

Step-by-step explanation:

The perimeter (circumference) is radius times pi times 2

This would be 8 times pi tomes 2 and when you do that you get 50.27

For the area you would do radius squared times pi

This would be 8 squared times pi which is 201.06

Hope this is helpful

- Please mark brainliest :)

ons: Practice
Question 2 of 5
The expression below represents the amount owed on a loan over t years.
1,550(1.042)
Interpret the meaning of the expression.
O The initial loan amount is $1,550, and the interest growth rate is 1.042% per year.
The initial loan amount is $1,042, and the interest growth rate is 55% per year.
The initial loan amount is $1,042, and the interest growth rate is 1.55% per year.
The initial loan amount is $1,550, and the interest growth rate is 4.2% per year.

Answers

Answer:

the initial loan amount is $1,550, and the interest growth rate is 4.2% per year.

Step-by-step explanation: I just answered it.

Answer:

the answer is c

Step-by-step explanation:

for plato

Which equation represents "The sum of a number n and 8, subtracted from 20, is 16."
A. n + 8-20 = 16
B. 8n - 20 = 16
C. 20 - (n + 8) = 16
D. 20- 8n = 16​

Answers

answers is A
B & D show n and 8 being multiplied and it says sum
if n=28 then that makes -16=16 on C and that is incorrect
when you plug in 28 for n on A it is 16=16

Please help me. I need help

Answers

Answer:

(X+1)(x+5)

Step-by-step explanation:

Answer:

the zeroes are -5 and -1 so the factors are (x + 5)(x + 1)

What is the midpoint of the segment below? (-12, -3) (3, -8)

Answers

Your answer is: D.

(-9/2,-11/2) use the midpoint formula

4. There are 4 white socks, 6
black socks, 3 blue socks, and
2 red socks. What is the ratio
of blue socks to all socks in
simplest form?

Answers

The ratio of blue socks to all socks is 1:5. Explanation- there are 3 blue socks and 15 total socks. As a ratio, you would write this as 3:15. Divide by a common term (3) for both 3 and 15 and get 1:5 (3 / 3 = 1) (15 / 3 = 5)

HELP!!!

Find an explicit rule for the nth term of the sequence.

-5, -30, -180, -1080, ...

Answers

Answer:

multiply by 6

Step-by-step explanation:

32 + 2a= 6a solve for a and show the steps

Answers

move 2a to the other side, making it negative
32=6a-2a
32=4a
divide both sides by 4
8=a

WILL MARK B!
Please I need help I have a quiz

Answers

Answer:

a) 2x² - x + 3 = x(2x + 1) - 2x

<=> 2x² - x + 3 = 2x² + x - 2x

<=> 3 - x = - x

<=> 3 = 0

=> no solution

b) x/2 - x/3 - x/4 = 1/12

[tex] \frac{6x}{12} - \frac{4x}{12} - \frac{3x}{12} = \frac{1}{12} \\ \\ \frac{ - x}{12} = \frac{1}{12} \\ \\ = > - x = 1 \\ \\ \\ < = > x = 1[/tex]

=> the euqation has the solution x = 1

c) |x - 5| = 2|x|

=> x - 5 = 2x

or x - 5 = -2x

<=> x = -5

or 3x = 5

<=> x = -5

x = -5or x = 5/3

d) defined conditions: 2 - x 》 0

<=> x 《 2

we have:

[tex] \sqrt{x + 4} = 2 - x \\ < = > x + 4 = (2 - x) {}^{2} \\ < = > x + 4 = {x}^{2} - 4x + 4 \\ < = > {x}^{2} - 5x = 0 \\ < = > x(x - 5) = 0 \\ [/tex]

<=> x = 0 (because x 《 2)

e)

[tex] \sqrt{5} = \frac{1}{25 {}^{x} } \\ = > 5 = \frac{1}{25 {}^{2x} } \\ < = > 5.25 {}^{2x} = 1 \\ < = > 5.5 {}^{4x} = 1 \\ < = > 5 {}^{4x + 1} = 1 \\ = > 4x + 1 = 0[/tex]

<=> x = -1/4

Answer:

[tex]a) [x: - \infty < x < \infty ][/tex]

[tex]b)[x: - 1][/tex]

[tex]c) [x:- \frac{5}{3} ][/tex]

[tex]d) [x: 3, 0][/tex]

[tex]e) [x: - \frac{1}{4} ][/tex]

What is 1,987 rounded to the nearest thousand?

Answers

Answer: 2000 hope this helps. Can u give me brainliest

Step-by-step explanation:

Answer:

2,000

Step-by-step explanation:

Since there's a 9 before the 1 you would round up the 1,987 to 2,000

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