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NNADVOKAT [17]
3 years ago
7

Assuming that a soap bubble is a perfect sphere, what is the diameter of a bubble containing 1,000 cm^3 of air? Round to the nea

rest tenth. Answer choices: 6.2 cm, 7.5 cm, 12.4 cm and 15.0 cm.
Mathematics
1 answer:
jenyasd209 [6]3 years ago
5 0

Answer:

A is correct

Step-by-step explanation:

In this question, we are concerned with. calculating the diameter of a bubble given the volume of the bubble.

Since we have assumed the bubble to be a perfect sphere, it’s volume V = 4/3 * pi * r^3

Plugging the value of V = 1000cm^3 , we have

1000 = 4/3 * pi * r^3

3000/4pi = r^3

r^3 = 238.732

r = cube foot of 238.732

r = 6.20cm

This is same as 6.2cm

You might be interested in
Which of the following expressions represents the least common multiple of 15, 18, and 25?
Virty [35]

Answer:

(2)(3^2)(5^2)

Step-by-step explanation:

we know that

The <u>Least Common Multiple</u> (LCM) of a group of numbers is the smallest number that is a multiple of all the numbers.

we have

15,18 and 25

Decompose the numbers in prime factors

15=(3)(5)

18=(2)(3^2)

25=(5^2)

Multiply common and uncommon numbers with their greatest exponent

so

The LCM is equal to

LCM=(2)(3^2)(5^2)

LCM=450

7 0
3 years ago
The Big Bad Baseball team had lots of great hitters. Sue had a .426 batting average. Heidi had 12 hits in a 15 times a bat. Sele
Mashcka [7]
For this case, what you must do is pass all the averages to the same unit of measurement in order to make the comparison between the three batters.
 We have then:
 Sue = 0.426
 Heidi = (12/15) = 0.8
 Selena = (47.5 / 100) = 0.475
 answer
 the highest batting average was for Heidi with an average of 0.8
3 0
3 years ago
The average number of tunnel construction projects that take place at any one time in a certain state is 3. Find the probability
slega [8]

Answer: 0.1008188

Step-by-step explanation:

The question will usng the poisson distribution formula:

Given :

Mean(λ) number of occurrence in a given interval = 3

P(X=x) = Probability of exactly x occurrence in a given interval

Number of desired occurence(x) = 5

P(X=x) = [(λ^x) * (e^-λ)] / x!

Where ; e = base of natural logarithm = 2.7182818

P(X=5) = [(3^5) * (e^-3)] / 5!

P(X=5) = [(243) * (0.0497870)] / 120

P(X=5) = [12.098257] / 120

P(X=5) = 0.1008188

6 0
3 years ago
In the table below, y varies inversely as x. What is the missing value?
Minchanka [31]

Answer:

<h2>The value of y is <u>0.5</u>, so the answer is <u>C</u>.</h2>

Step-by-step explanation:

Find first the constant of variation.

Given: x = 3, y = 4

Find: k = ?

Formula:

y =  \frac{k}{x}

Solution:

y =  \frac{k}{x}  \\ 4 =  \frac{k}{3}  \\ 12 = k

Then, find the value of y in the third box.

Given: x = 24, k = 12

Find: y = ?

Formula:

y =  \frac{k}{x}

Solution:

y =  \frac{k}{x}  \\ y =   \frac{12}{24} \\ y =  \frac{1}{2} \\\boxed{y = 0.5}

6 0
2 years ago
Nicole has $20 to spend on dinner for herself. She wants to tip 20% on the amount of her meal. Which of the following are amount
Sophie [7]

Answer:

Total amount spent for meal = $16.65

Step-by-step explanation:

Given:

Amount spent on dinner = $20

Tip = 20%

Find:

Total amount spent for meal

Computation:

Total amount spent for meal = Amount spent on dinner / (1+tip)

Total amount spent for meal = 20 / 1.2

Total amount spent for meal = 16.666

Total amount spent for meal = $16.65

8 0
3 years ago
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