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
Valentin [98]
2 years ago
6

Y=2x+5 y=3x−1 solve by subsitution

Mathematics
1 answer:
loris [4]2 years ago
5 0

Answer:

(6,17)

Step-by-step explanation:

2x+5=3x-1

-3x        -3x

-x+5=-1

-5      -5

-x=-6

^divided by -1 on both sides

x=6

y=2x+5

y=(2)(6)+5

y=17

You might be interested in
What is 1/2 times 2/1, i need explenation​
Debora [2.8K]

Answer:

1

Step-by-step explanation:

(1/2)(2/1)=2/2=1

6 0
3 years ago
Read 2 more answers
How many more stickers are on maddies notebook than on megs notebook
Tems11 [23]
10, because then meg would have 5. 
5 0
3 years ago
Read 2 more answers
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −6?
ikadub [295]
Line M with slope 6 is neither, line n with slope -6 is parallel because only lines with same slope are parallel, line p with slope 1/6 is neither. and line q with slope -1/6 is perpendicular because only the reciprocal of a slope is perpendicular, so reciprocal of 6= 1/6 reciprocal of -6=-1/6 reciprocal of 2= 1/2
8 0
3 years ago
Read 2 more answers
seven friends accept the invitation to the twins birthdayparty. At the last minute,Tomas and emilio learn that their neighbour a
kotykmax [81]

Answer:

Step-by-step explanation:

6 0
2 years ago
What is the probability that a random person who tests positive for a certain blood disease actually has the disease, if we know
xeze [42]

Answer:

Step-by-step explanation:

Hello!

Any medical test used to detect certain sicknesses have several probabilities associated with their results.

Positive (test is +) ⇒ P(+)

True positive (test is + and the patient is sick) ⇒ P(+ ∩ S)

False-positive (test is + but the patient is healthy) ⇒P(+ ∩ H)

Negative (test is -) ⇒ P(-)

True negative (test is - and the patient is healthy) ⇒ P(- ∩ H)

False-negative (test is - but the patient is sick) ⇒ P(- ∩ S)

The sensibility of the test is defined as the capacity of the test to detect the sickness in sick patients (true  positive rate).

⇒ P(+/S) =<u> P(+ ∩ S)  </u>

                    P(S)

The specificity of the test is the capacity of the test to have a negative result when the patients are truly  healthy (true negative rate)

⇒ P(-/H) =<u> P(- ∩ H)  </u>

                   P(H)

For this particular blood disease the following probabilities are known:

1% of the population has the disease: P(S)= 0.01

95% of those who are sick, test positive for it: P(+/S)= 0.95 (sensibility of the test)

2% of those who don't have the disease, test positive for it: P(+/H)= 0.02

The probability of a person having the blood sickness given that the test was positive is:

P(S/+)= <u> P(+ ∩ S)  </u>

                P(+)

The first step you need to calculate the intersection between both events + and S, for that you will use the information about the sickness prevalence in the population and the sensibility of the test:

P(+/S) =<u> P(+ ∩ S) </u>

                 P(S)

P(+/S)* P(S)  = P(+ ∩ S)  

P(+ ∩ S) = 0.95*0.01= 0.0095

The second step is to calculate the probability of the test being positive:

P(+)=  P(+ ∩ S) +  P(+ ∩ H)

Now we know that 1% of the population has the blood sickness, wich means that 99% of the population doesn't have it, symbolically: P(H)= 0.99

Then you can clear the value of P(+ ∩ H):

P(+/H) =<u> P(+ ∩ H) </u>

                 P(H)

P(+/H)*P(H)  = P(+ ∩ H)

P(+ ∩ H) = 0.02*0.99= 0.0198

Next you can calculate P(+):

P(+)=  P(+ ∩ S) +  P(+ ∩ H)= 0.0095 + 0.0198= 0.0293

Now you can calculate the asked probability:

P(S/+)= <u> P(+ ∩ S)  </u> =<u> 0.0095 </u>= 0.32

                P(+)        0.0293

I hope it helps!

                 

                 

6 0
2 years ago
Other questions:
  • 23% of 75 is what number
    6·2 answers
  • jessica and her 2 sisters want to take a camping trip. They have $225 saved. Each of them will save $21 a week until they have a
    14·2 answers
  • What is 24/42 in the simplest form?
    7·2 answers
  • Solve the inequality for u<br>-5u+27 [less than or equal to] 2​
    8·1 answer
  • 7(3x + 5y) PLZ HELP !!!!!!!!
    6·2 answers
  • Last saturday, marissa walked her dog 1 1/2 miles. Sally walked her dog 2 times far. How many miles total did both girls walk th
    5·1 answer
  • F(x)=lx+4l+3 how do u do it
    15·1 answer
  • Use the distributive property to find the product. -x^2(x+5)
    5·2 answers
  • The denominator of a fraction is three more than the numerator. When both are increased by 1 the fraction becomes 1/2. What is t
    9·1 answer
  • What is 3 divided by 11/12
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!