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elena-s [515]
3 years ago
9

Create a table of data for two different linear functions. The table should use the same values of x for both functions. Based o

n your table, will the graphs of these two functions intersect? Explain your answer. 40 POINTS
Mathematics
1 answer:
vodomira [7]3 years ago
7 0
3x + 1 = y

x: 1 | 2 | 3  |
------|---|--- |----------------
y: 4 | 7 | 10|

so make points at (1,4) (2,7) and (3,10), and connect them to get the line

4x + 1

x: 1 | 2 | 3
----------------
y: 5 | 9 | 13

Make points at (1,5) (2,9) and (3,13)

IF they do not intersect yet, continue making points until they intersect. Make note of the point in which they intersect, and that is your answer

hope this helps
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Consider the probabilities of people taking pregnancy tests. Assume that the true probability of pregnancy for all people who ta
Valentin [98]

Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem, the events are:

  • Event A: Positive test result.
  • Event B: Pregnant.

The probability of a positive test result is composed by:

  • 99% of 10%(truly pregnant).
  • 2% of 90%(not pregnant).

Hence:

P(A) = 0.99(0.1) + 0.02(0.9) = 0.117

The probability of both a positive test result and pregnancy is:

P(A \cap B) = 0.99(0.1)

Hence, the conditional probability is:

P(B|A) = \frac{0.99(0.1)}{0.117} = 0.8462

0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

You can learn more about conditional probability at brainly.com/question/14398287

7 0
2 years ago
5x+7y=31 2x+4y=16 Which of the following systems could be used to solve the given system of equations by the addition method? 10
Pani-rosa [81]
Equation 1: 5x+7y=31
Equation 2: 2x+4y=16

We can either use the 'elimination' method or the 'substitution' method to solve this simultaneous equation.

In some cases one method is easier to use than the other. For this one, it would be easier to use the elimination method

We need to eliminate either the 'x' or the 'y' to begin with. Say we want to eliminate the 'x' terms, then the next step is to make the constant the same

Equation 1: the constant of 'x' is 5
Equation 2: the constant of 'x' is 2

To make the two constants the same, think of common multiple. The lowest common multiple for 5 and 2 is 10

Equation 1:  Multiply all terms by 2 to achieve 10x
Equation 2: Multiply all terms by 5 to achieve 10x

Equation 1: 10x+14y=62
Equation 2: 10x+20y=80

Once the constant of 'x' is the same, then we can start the elimination process. Since our aim is to eliminate, one of the 'x' need to be in negative form. We can either multiply Equation 1 or Equation 2 by (-1)

Equation 1: -10x - 14y = -62
Equation 2: 10x + 20y = 80

Hence the correct answer is: Third option




3 0
3 years ago
Classify the triangle by its angles and sides
postnew [5]
Answer; A: Right scalene. Square on the corner tells you it's a right triangle. It's a scalene triangle because none of the sides are equal.
7 0
2 years ago
While waiting for a video game to download, you notice that 30% of 32,000 kilobytes have been downloaded so far.
madam [21]
30%=30/100=0.3

0.3(32,000)=

9600kb downloaded

32 Megabite game? That'll be done is seconds on most connections. (the slowest of connections ive seen are about 20 mb/s)

3 0
4 years ago
Rewrite logt (96) – logt (8) in compact form.<br> Hint: Use the quotient rule in reverse
S_A_V [24]

log( 96 ) - log( 8 ) =

log( 96 ÷ 8 ) =

log( 12 )

3 0
3 years ago
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