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
34kurt
3 years ago
9

I have a series of 2 questions.

Mathematics
1 answer:
Margarita [4]3 years ago
3 0
1)
I:y=3x-4
II:9x-3y=14


substitute y into II:
9x-3*(3x-4)=14
9x-9x+12=14
12=14

this is obviously not equal so there is no solution, the lines are parallel

2)
I:y=4x+6
II:5x-y=6

substitute y into II:
5x-(4x+6)=6
5x-4x-6=6
x=12
substiute x into II:
5*12-y=6
-y=6-60
-y=-54
y=54

the solution is (12,54)
You might be interested in
A phone is regularly priced at $350. If you get it on sale for 15% off, how much do you pay?
Nesterboy [21]
52.5

Explanation:
x/18. 30/100 cross multiply 30*18=5250
5250 divided by 100= 52.5
5 0
2 years ago
Read 2 more answers
A research team at Cornell University conducted a study showing that approximately 10% of all businessmen who wear ties wear the
LenKa [72]

Answer:

a) The probability that at least 5 ties are too tight is P=0.0432.

b) The probability that at most 12 ties are too tight is P=1.

Step-by-step explanation:

In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.

a) We can express the probability that at least 5 ties are too tight as:

P(x\geq5)=1-\sum\limits^4_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\geq5)=1-(0.1216+0.2702+0.2852+0.1901+0.0898)\\\\P(x\geq5)=1-0.9568=0.0432

The probability that at least 5 ties are too tight is P=0.0432.

a) We can express the probability that at most 12 ties are too tight as:

P(x\leq 12)=\sum\limits^{12}_{k=0} {\frac{n!}{k!(n-k)!} p^k(1-p)^{n-k}}\\\\P(x\leq 12)=0.1216+0.2702+0.2852+0.1901+0.0898+0.0319+0.0089+0.0020+0.0004+0.0001+0.0000+0.0000+0.0000\\\\P(x\leq 12)=1

The probability that at most 12 ties are too tight is P=1.

5 0
3 years ago
Divide the polynomials<br><br> (2x^2+x+3)/(x-2)
Damm [24]
You divid the two numbers on top to equal the bottom and the factor one out
8 0
3 years ago
How could you find the area of the pink title? Choose all that apply. <br><br>​
DaniilM [7]
By using green to find the pink locate all the ponies
3 0
3 years ago
Which number has code 21021?
spin [16.1K]
The number 17 has the code 21021
5 0
3 years ago
Read 2 more answers
Other questions:
  • The only way to sober up after drinking is
    5·1 answer
  • Tickets to a musical cost $30 for adults and $12 for children. At one particular performance 960 people attended and $19 080 was
    7·2 answers
  • A=1/2 (b+B)h. Find the area of a trapezoid whose height is 6m, small base is 12 m, and large base us 18 m
    11·1 answer
  • What is the twentieth term of the arithmetic sequence described by the<br> equation an= 3n - 10?
    15·1 answer
  • (25 POINTS) Write the inequality of the following graph?
    9·1 answer
  • What is the value of the tangent of
    11·2 answers
  • The number of 8-ounce glasses of water Shane drank each day for 12 days is represented in
    14·1 answer
  • kayla is making a scale drawing of a room in a house. The room actually measures 30 feet by 45 feet. Using the scale 1 in: 15 ft
    10·1 answer
  • What is 1/3 divided by 5?
    12·2 answers
  • Find the area of the circle with the following dimension Radius = 5 in The area is : in2 (Round to the nearest tenth as needed.)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!