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
Anastasy [175]
3 years ago
10

27 solid iron spheres, each of radius 'xcm'ate melted to form a sphere with radius 'ycm',find the ratio x:y​

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
7 0

Answer:3:1

Step-by-step explanation:

Given

There are 27 solid spheres of  radius x cm

The volume of a sphere is \frac{4}{3}\pi r^3

The volume of 27 old spheres is the same as the volume of a new sphere

The volume of the old spheres is

V_o=\dfrac{4}{3}\pi x^3

The volume of a new sphere is

V_n=\dfrac{4}{3}\pi y^3

Now,V_o=V_n

\Rightarrow 27\times \dfrac{4}{3}\pi x^3=\dfrac{4}{3}\pi y^3\\\\\Rightarrow (\dfrac{x}{y})^3=27\\\\\Rightarrow \dfrac{x}{y}=3

You might be interested in
Reuben bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $150 more than the desktop. He p
cupoosta [38]
Same case as Pablo's, more or less.

a = price for the desktop

b = price for the laptop

we know the laptop is 150 bucks more than the desktop,  b = a + 150.

how much is 7% of a?  (7/100) * a, 0.07a.

how much is 9.5% of b?  (9.5/100) * b, 0.095b.

total interests for the financing add up to 303, 0.07a + 0.095b = 303.

\bf \begin{cases}
\boxed{b}=a+150\\
0.07a+0.095b=303\\
----------\\
0.07a+0.095\left(\boxed{a+150}  \right)=303
\end{cases}
\\\\\\
0.07a+0.095a+14.25=303\implies 0.165a=288.75
\\\\\\
a=\cfrac{288.75}{0.165}\implies a=1750

how much was it for the laptop?  well b = a + 150.
8 0
3 years ago
The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, So
tatyana61 [14]

Answer:

The probability that at least 13 flights arrive late is 2.5196 \times 10^{-6}.

Step-by-step explanation:

We are given that Southwest Air had the best rate with 80 % of its flights arriving on time.

A test is conducted by randomly selecting 18 Southwest flights and observing whether they arrive on time.

The above situation can be represented through binomial distribution;

P(X = x) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.........

where, n = number of trials (samples) taken = 18 Southwest flights

           r = number of success = at least 13 flights arrive late

          p = probability of success which in our question is probability that

                flights arrive late, i.e. p = 1 - 0.80 = 20%

Let X = <u><em>Number of flights that arrive late</em></u>.

So, X ~ Binom(n = 18, p = 0.20)

Now, the probability that at least 13 flights arrive late is given by = P(X \geq 13)

P(X \geq 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18)

= \binom{18}{13}\times 0.20^{13} \times (1-0.20)^{18-13}+ \binom{18}{14}\times 0.20^{14} \times (1-0.20)^{18-14}+ \binom{18}{15}\times 0.20^{15} \times (1-0.20)^{18-15}+ \binom{18}{16}\times 0.20^{16} \times (1-0.20)^{18-16}+ \binom{18}{17}\times 0.20^{17} \times (1-0.20)^{18-17}+ \binom{18}{18}\times 0.20^{18} \times (1-0.20)^{18-18}

= \binom{18}{13}\times 0.20^{13} \times 0.80^{5}+ \binom{18}{14}\times 0.20^{14} \times 0.80^{4}+ \binom{18}{15}\times 0.20^{15} \times 0.80^{3}+ \binom{18}{16}\times 0.20^{16} \times 0.80^{2}+ \binom{18}{17}\times 0.20^{17} \times 0.80^{1}+ \binom{18}{18}\times 0.20^{18} \times 0.80^{0}

= 2.5196 \times 10^{-6}.

7 0
3 years ago
125 divided by 100 I have to make corrections
STatiana [176]

Answer:

1.25

Step-by-step explanation:

125/100 = 1.25

5 0
2 years ago
Read 2 more answers
What are consecutive integers?
saul85 [17]
Consecutive integers<span> are </span>integers<span> that follow each other in order. They have a difference of 1 between every two numbers. In a set of </span>consecutive integers<span>, the mean and the median are equal. If n is an </span>integer, then n, n+1, and n+2 would be consecutive integers<span>. Examples.</span>
8 0
3 years ago
Kyle is creating a frame for a model car. He begins by piecing two rods together, as shown in the diagram. Justify why AM = 6. D
Mkey [24]

Answer:

Subtraction property

Step-by-step explanation:

Because it’s 12 subtracted by 6 to get 6

5 0
3 years ago
Read 2 more answers
Other questions:
  • Please helppp!!!!!!! And please show your work so i can know what to do next time i have this same problem !
    14·1 answer
  • Which of the following has a constant of proportionality of 2?
    13·2 answers
  • What is the slope-intercept form of 3x + 5y = -15?​
    6·1 answer
  • GuYS PLEASE HELP I WILL MARK AS BRAINIEST IF YOU EXPLAIN WELL. ANYWAYS, SOLVE EACH EQUATION BY FACTORING. R^2+9R+8=0 SO MY QUEST
    8·2 answers
  • Whats is a unit rate
    8·2 answers
  • What is the value of x in the equation (5^x)^5=5^35
    15·1 answer
  • What is the theory of relativity
    5·1 answer
  • Jarod bought 8 yards of ribbon.He needs 200 inches to use to make curtains. How many inches of ribbon does he have?
    8·1 answer
  • De acuerdo con la tercera ley de movimiento planetario de Kepler, la masa de un planeta es directamente proporcional al cubo de
    10·1 answer
  • The Highest Common Factor of three numbers is 6 and the Lowest Common Multiple is 24 What are the three numbers?​(PLEASE HELP)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!