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gizmo_the_mogwai [7]

3 years ago

5

A glass ball is packed in the box shown. Which expression represents the volume of foam padding needed to fill the space in the

box around the sphere in terms of Pi

1 answer:

zhuklara [117]3 years ago

5 0

Answer: (27- 4/3 pi) r^3

Step-by-step explanation: 1. Volume of a cube: V= a^3, V= 3^3 , V=27

2. Volume of a sphere: V=4/3 pi r^3 ......

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Phones-R-Us charges $16.95 per month and $0.05 per text message. Awesome Wireless charges $22.95 per

Dima020 [189]

Answer:

$S \leq 200$

Step-by-step explanation:

Given

Phone R-Us= $16.95 + $0.05 per SMS

Awesome Wireless = $22.95 + $0.02 per SMS

Required

Determine the number of SMS such that Awesome Wireless is greater or equal to Phone R-Us

Represent the SMS with S

For Phone R-Us, we have:

$SMS = 16.95 + 0.05S$

For Awesome Wireless, we have:

$SMS = 22.95 + 0.02S$

For Awesome Wireless is greater or equal to Phone R-Us, we have:

$22.95 + 0.02S \geq 16.95 + 0.05S$

Collect Like Terms

$0.02S - 0.05S \geq 16.95 - 22.95$

$-0.03S \geq -6$

Solve for S

$\frac{-0.03S}{-0.03} \geq \frac{-6}{-0.03}$

$S \leq 200$

<em>Hence: for Awesome Wireless to cost more or equal to Phone R-Us, the number of SMS must not exceed 200</em>

4 0

3 years ago

(a) Write 14 as a decimal.

Yuliya22 [10]

Answer:

0.14

Step-by-step explanation:

14% describes 14 out of 100. It is written as 14 in the numerator and 100 in the denominator of a fraction. A percent is always written as the number over 100 as a fraction. “Out of 100” refers to the decimal place “hundredths.” 14% is 14 hundredths.

3 0

3 years ago

Anita's, a fast-food chain specializing in hot dogs and garlic fries, keeps track of the proportion of its customers who decide

damaskus [11]

Answer:

0.2700

Step-by-step explanation:

-Notice that this is a binomial distribution with p=0.52, n=4 and x=3.

-The formula for the binomial probabilities is given as:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}$

The probability than in 4, exactly 3 order their food on the go is:

$P(X=x)={n\choose x}p^x(1-p)^{n-x}\\\\P(X=3)={4\choose3}0.52^3(1-0.52)^1\\\\=0.2700$

Hence, the probability that exactly 3 order their food on the go is 0.2700

3 0

3 years ago

If the diagonal of a square is 14m long what is the perimeter?

Gala2k [10]

Answer:

56m²

Step-by-step explanation:

14×4 = 56

Each side is the same length and there are 4

7 0

3 years ago

Read 2 more answers

Please help me answer these 3 questions. Also, please EXPLAIN how you got the answer because sometimes people answer but don't e

nirvana33 [79]

Answer:

3 and 4

Step-by-step explanation:

4. 28/105 is what it is trying to explain

3. -3/12 is what it is trying to explain

7 0

3 years ago