1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sophie [7]
2 years ago
6

Two solid metal spheres have masses of 5 kg and 135 kg respectively. If the radius of the smaller one is 4 cm, find the radius o

f the larger one.​
Mathematics
1 answer:
Cerrena [4.2K]2 years ago
8 0

Answer: 12 cm

Step-by-step explanation:

The masses of the spheres are proportional to their volums, and the cube of the ratio is k^3=135/5=27 ==> k=3

The greater radius is 3*4=12 (cm)

You might be interested in
Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118. If a recent test-taker
LuckyWell [14K]

Answer:

Probability that the student scored between 455 and 573 on the exam is 0.38292.

Step-by-step explanation:

We are given that Math scores on the SAT exam are normally distributed with a mean of 514 and a standard deviation of 118.

<u><em>Let X = Math scores on the SAT exam</em></u>

So, X ~ Normal(\mu=514,\sigma^{2} =118^{2})

The z score probability distribution for normal distribution is given by;

                              Z  =  \frac{X-\mu}{\sigma} ~  N(0,1)

where, \mu = population mean score = 514

           \sigma = standard deviation = 118

Now, the probability that the student scored between 455 and 573 on the exam is given by = P(455 < X < 573)

       P(455 < X < 573) = P(X < 573) - P(X \leq 455)

       P(X < 573) = P( \frac{X-\mu}{\sigma} < \frac{573-514}{118} ) = P(Z < 0.50) = 0.69146

       P(X \leq 2.9) = P( \frac{X-\mu}{\sigma} \leq \frac{455-514}{118} ) = P(Z \leq -0.50) = 1 - P(Z < 0.50)

                                                         = 1 - 0.69146 = 0.30854

<em>The above probability is calculated by looking at the value of x = 0.50 in the z table which has an area of 0.69146.</em>

Therefore, P(455 < X < 573) = 0.69146 - 0.30854 = <u>0.38292</u>

Hence, probability that the student scored between 455 and 573 on the exam is 0.38292.

7 0
3 years ago
HELP
MrMuchimi
The answer is A.  i hope this helps! 
5 0
3 years ago
This writing prompts is hard
Solnce55 [7]
A.) Simplifying the equation would lead you to 15x^2-3x+9

b.) You know your answer is correct because you're adding the two polynomials together. 9x^2+6x^2 is 1tx^2. Now you have 2x-5x and since the negative is bigger, you get -3x. Then 5+4 is 9. You have no like terms therefore your answer is 15x^2-3x+9
7 0
3 years ago
jorge needs a string that is 4 feet long .so far his string is 44 inches. is it long enough or dose he need to make it longer
Romashka-Z-Leto [24]

Answer:

longer

Step-by-step explanation:

12 inches is a foot so you need to multiply 12 by 4 which gives you 48 so he needs 4 more inches to have enough string

5 0
3 years ago
The 2006 Guinness Book of World Records for the heaviest man was Manuel Uribe. He weighed 1,230 pounds. How many ounces did he w
Alex
He weigh 19680 ounces
5 0
3 years ago
Other questions:
  • Find the interest to the nearest cent. $3500 at 10% for 5 Years
    14·1 answer
  • The sum of a number and three is equal to five less than double that number
    11·1 answer
  • “Find the x and y intercepts of the line.”
    14·1 answer
  • Make a conjecture about the next item in the sequence. 6, 9, 7, 10, 8
    8·1 answer
  • Match each quadratic equation with its roots. Tiles a2-a+11+0
    13·1 answer
  • give me 3 pictures showing the application of the sum and the product of the roots of quadratic equations in real life . describ
    9·2 answers
  • which of the following are reasonable answers for the product of two negatives and a positive? •20 •10 •-20 •-10
    6·2 answers
  • 6. The cardholder pays the minimum payment of $53.00 this month and makes no new purchases during the next
    11·1 answer
  • New Orleans is 2 meters below sea level.
    9·1 answer
  • Given g(x)=-x-4g, solve for x when g(x)=9.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!