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
g100num [7]
3 years ago
7

Can anyone help me on this one? Thank you in advance!

Mathematics
1 answer:
vampirchik [111]3 years ago
7 0

\bf \cfrac{4}{2(x-3)}=\cfrac{5}{3(14-x)}\implies \stackrel{\textit{distributing in the denominators}}{\cfrac{4}{2x-6}=\cfrac{5}{42-3x}} \\\\\\ 4(42-3x)=5(2x-6)\implies \stackrel{\textit{distributing again}}{168-12x=10x-30}\implies 198=22x \\\\\\ \cfrac{198}{22}=x\implies \boxed{9=x}

You might be interested in
We are throwing darts on a disk-shaped board of radius 5. We assume that the proposition of the dart is a uniformly chosen point
Vlad1618 [11]

Answer:

the probability that we hit the bullseye at least 100 times is 0.0113

Step-by-step explanation:

Given the data in the question;

Binomial distribution

We find the probability of hitting the dart on the disk

⇒ Area of small disk / Area of bigger disk

⇒ πR₁² / πR₂²

given that; disk-shaped board of radius R² = 5, disk-shaped bullseye with radius R₁ = 1

so we substitute

⇒ π(1)² / π(5)² = π/π25 = 1/25 = 0.04

Since we have to hit the disk 2000 times, we represent the number of times the smaller disk ( BULLSEYE ) will be hit by X.

so

X ~ Bin( 2000, 0.04 )

n = 2000

p = 0.04

np = 2000 × 0.04 = 80

Using central limit theorem;

X ~ N( np, np( 1 - p ) )

we substitute

X ~ N( 80, 80( 1 - 0.04 ) )

X ~ N( 80, 80( 0.96 ) )

X ~ N( 80, 76.8 )

So, the probability that we hit the bullseye at least 100 times, P( X ≥ 100 ) will be;

we covert to standard normal variable

⇒ P( X ≥  \frac{100-80}{\sqrt{76.8} } )

⇒ P( X ≥ 2.28217 )

From standard normal distribution table

P( X ≥ 2.28217 ) = 0.0113

Therefore, the probability that we hit the bullseye at least 100 times is 0.0113

3 0
3 years ago
Which situation could be described by the expression m – 1.85?
mr_godi [17]

Answer:

b

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Why do scientists use percentages less than 1
olganol [36]
They use percents less than one to get the the exact number
3 0
3 years ago
Which of the following is equivalent to the equation below?
DerKrebs [107]
B is the correct answer R=Q-7s/4
6 0
3 years ago
Billy’s Boat Rentals charges a yearly fee of $105 and $9.50 each time a member wants to rent a boat. Lisa’s Boat Rentals does no
AlekseyPX

Answer:

20 times

Step-by-step explanation:

The equation is...

9.5x+105=14.75x

105=5.25x

20=x

5 0
3 years ago
Read 2 more answers
Other questions:
  • Craig has 36 ounces of flour left in one bag and 64 ounces of flour in another bag. Use the Baking Flour Equivalent table to fin
    12·1 answer
  • What’s the answer to this
    9·1 answer
  • What is the answer...to this question or what do I have to do???
    13·2 answers
  • Find 0.01 more than 9.154.
    12·1 answer
  • If 2a+b=6 and a−6=b, what is the value of a?
    6·2 answers
  • PLZ HELP ASAP SOLID GEOMETRY
    11·1 answer
  • In the diagram below, m
    12·2 answers
  • Which equation represents a line that is parallel to the line represented by
    6·1 answer
  • On a hike, Parker noticed that the temperature at the base of a mountain was 69°F. At a point on the mountain that was 2,000 fee
    6·1 answer
  • Find the value of x and y is (3x_6) (12,y-1)​
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!