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
Molodets [167]
3 years ago
5

(

Mathematics
1 answer:
larisa [96]3 years ago
3 0
Idkidlidjidvgiyc tv xuztixjclotxitsyp
You might be interested in
Given the equation -5x+2y=-10 what is the equation of the line perpendicular to the line?
meriva

Answer:

The equation of the perpendicular line would be y = -2/5x - 1

Step-by-step explanation:

In order to find this line, we must first find the slope of the original line. We do this by solving for y.

-5x + 2y = -10

2y = 5x - 10

y = 5/2x - 5

This shows us a slope of 5/2. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negative 5/2 to get -5/2 and then we flip it to get -2/5. Now that we have this, we can use the slope and the point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 1 = -2/5(x + 5)

y - 1 = -2/5x - 2

y = -2/5x - 1

4 0
2 years ago
A new test to detect TB has been designed. It is estimated that 88% of people taking this test have the disease. The test detect
Elodia [21]

Answer:

Correct option: (a) 0.1452

Step-by-step explanation:

The new test designed for detecting TB is being analysed.

Denote the events as follows:

<em>D</em> = a person has the disease

<em>X</em> = the test is positive.

The information provided is:

P(D)=0.88\\P(X|D)=0.97\\P(X^{c}|D^{c})=0.99

Compute the probability that a person does not have the disease as follows:

P(D^{c})=1-P(D)=1-0.88=0.12

The probability of a person not having the disease is 0.12.

Compute the probability that a randomly selected person is tested negative but does have the disease as follows:

P(X^{c}\cap D)=P(X^{c}|D)P(D)\\=[1-P(X|D)]\times P(D)\\=[1-0.97]\times 0.88\\=0.03\times 0.88\\=0.0264

Compute the probability that a randomly selected person is tested negative but does not have the disease as follows:

P(X^{c}\cap D^{c})=P(X^{c}|D^{c})P(D^{c})\\=[1-P(X|D)]\times{1- P(D)]\\=0.99\times 0.12\\=0.1188

Compute the probability that a randomly selected person is tested negative  as follows:

P(X^{c})=P(X^{c}\cap D)+P(X^{c}\cap D^{c})

           =0.0264+0.1188\\=0.1452

Thus, the probability of the test indicating that the person does not have the disease is 0.1452.

4 0
3 years ago
The population of a school of fish increases at a rate of 12% per month. There are currently 500 fish in the school. Find the am
Jlenok [28]

Answer:

702 fish

Step-by-step explanation:

5 0
3 years ago
Evaluate <br><br> 2r(t + 7) if r = 4 and t = 2.
Serhud [2]
The answer is 72 all u need to do plug in the numbers where the letters are
6 0
3 years ago
Determine whether the statement is true or false, and explain why.
Zielflug [23.3K]

Answer:

False

Step-by-step explanation:

In this case, i woudnt reccomend to use integration by parts, becuase you are not simplifying the expression by doing an integration and a derivation. It is not easy to integrate 1/x³+1, and if you derivate it, then a natural logarithm would appear, and the integral wont be easier after this parts step.

It is a better idea to use integration by substitution. Note that if you replace x³+1 by a variable y, we have that dy = 3x² dx. We can easily make a 3xdx appear in the integral by multiplying and dividing by 3, solving the integral easily:

\int\limits_0^1 x^2/x^3+1 \, dx = 1/3 * \int\limits_1^2 du/u = (ln(2) - ln(1) )/3

(Note that, if x ranges from 0 to 1, then u = x³+1 ranges from 0³+1 = 1 to 1³+1 = 2)

4 0
2 years ago
Other questions:
  • Amount financed $500,
    7·1 answer
  • explain step by step how to solve. please point out any similarities in the steps used for each question
    9·1 answer
  • I need the y values i guessed them but they are wrong<br> y=3x​
    14·1 answer
  • Change to standard form. Can someone please help, ty! Will mark brainliest!
    15·1 answer
  • N = 9
    14·1 answer
  • What number is 0.79 more than 0.97
    12·1 answer
  • Select the best answer for the question.
    5·1 answer
  • What rule is used to create this sequence
    12·2 answers
  • I need help! Math isn’t my best subject
    10·2 answers
  • (Giving 80 points, Please do not answer if you don't know. The second and third answer are not 4 btw)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!