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
Burka [1]
3 years ago
15

Simplify the square root of 27x^12/300x^8

Mathematics
2 answers:
Darina [25.2K]3 years ago
6 0
The first thing we are going to do is rewrite the expression correctly.
 We have:
 root (27x ^ 12 / 300x ^ 8)
 Rewriting:
 root ((27/300) * (x ^ 12 / x ^ 8))
 root ((9/100) * (x ^ (12-8)))
 root ((9/100) * (x ^ (4)))
 root ((9/100) * (x ^ (4)))
 3 * x ^ 2 * root ((1/100)
 (3 * x ^ 2) / 10
 (3/10) * (x ^ 2)
 Answer:
 (3/10) * (x ^ 2)
antoniya [11.8K]3 years ago
4 0

Answer:

3/10 x^2

Step-by-step explanation:

You might be interested in
A container has a volume of 125.6 cm³ the height is 10 cm what is the radius
8_murik_8 [283]

Answer:

The answer is 19672212.8cm

3 0
2 years ago
Read 2 more answers
Which expression is equivalent to 18x12
serg [7]

Answer:

12x18

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.
MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years,  there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is \frac{21}{3000000}==0.000007.

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by q.

q=7\times 10^{-6}=0.000007.

So, the probability of survive, p=1-q

\Rightarrow p=1-7\times 10^{-6}=0.999993.

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

=\binom(n,r)p^rq^{n-r}

=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}

=(0.999993)^{48}=0.999664 (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total n skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

0.9=\binom {n }{r} p^rq^{n-r}

Here, r=n.

\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}

\Rightarrow 0.9=p^n

\Rightarrow 0.9=(0.999993)^n

\Rightarrow \ln(0.9)=n\ln(0.999993) [ taking \log_e both sides]

\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}

\Rightarrow n=15051.45

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0
3 years ago
Which correctly describes how the graph of the inequality 6y − 3x > 9 is shaded? Above the solid line Below the solid line Ab
faltersainse [42]

the answer is Above the dashed line .


5 0
2 years ago
Zalma’s stock investment in March was $120. In October, it was $400.
Goryan [66]

Answer:

In December, Zalma will have $480.

Step-by-step explanation:

The time from March to October is 7 months. In those 7 months, she gains $280. So every month, her investment gains $40.

The time from March to December is 9 months. She will gain $360 during that time. We add her initial $120 with the $360, and Zalma will have $480.

It's not confirmed, but it's what I got. :D

8 0
2 years ago
Read 2 more answers
Other questions:
  • Work in teams of three or four (person A, person B, and person C). Each student is to complete his or her worksheet using the me
    8·1 answer
  • A wedge of cheese in the shape of a triangular prism is shown below.
    7·1 answer
  • Please HELP!<br>2 Write 4 x 10 in standard notation.<br>​
    10·2 answers
  • The length of a rectangle is 3inches more than its width if the perimeter is 42inches find the dimensions of the rectangle
    5·1 answer
  • Help no guessing please explain how to solve
    6·2 answers
  • In this triangle, the product of tan A and Tan C is ( a. 1 b. 4.24 c. 17.98 or d. Insufficient data )
    14·1 answer
  • Write an equation of the line perpendicular to 6x + 7y=126, through (7,8).​
    5·1 answer
  • Please help!! ill mark you as brain!!
    8·1 answer
  • WHATS THE ANSWER?? ANSWER ASAP
    15·1 answer
  • Find the slope of the line that passes through the two points below (-4,4) (-3,9)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!