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3 years ago

I need help with this math

Mathematics

2 answers:

Zinaida [17]3 years ago

8 0

Answer:

Step-by-step explanation:

∠1 + ∠2 = 180 {Supplementary angles}

6x + 15 + 3x + 3 = 180

6x + 3x + 15 + 3 = 180

Combine like terms

9x + 18 = 180

Subtract 18 from both sides

9x = 180 - 18

9x = 162

x = 162/9

x = 18

∠2 = 3x +3

= 3*18 + 3

= 54 + 3

∠2 = 57°

Goryan [66]3 years ago

8 0

Answer:

Answer is option D) 57°

Here is the explanation...

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Vikentia [17]

Answer:

Step-by-step explanation:

A. 2

4 0

3 years ago

Assume a test for a disease has a probability 0.05 of incorrectly identifying an individual as infected (False Positive), and a

Nana76 [90]

Answer:

0.00002 = 0.002% probability of actually having the disease

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It 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 question:

Event A: Positive test

Event B: Having the disease

Probability of having a positive test:

0.05 of 1 - 0.000001(false positive)

0.99 of 0.000001 positive. So

$P(A) = 0.05*(1 - 0.000001) + 0.99*0.000001 = 0.05000094$

Probability of a positive test and having the disease:

0.99 of 0.000001. So

$P(A \cap B) = 0.99*0.000001 = 9.9 \times 10^{-7}$

What is the probability of actually having the disease

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{9.9 \times 10^{-7}}{0.05000094} = 0.00002$

0.00002 = 0.002% probability of actually having the disease

6 0

3 years ago

Given the following linear functions, determine their relationship:f(x)=5/6x-2 and g (x)=-6/5x+7

Gnom [1K]

The relationship is x=4.4 when y is 1.7

Step-by-step explanation:

The functions are :

$f(x)=\frac{5}{6}x-2\\ \\\\g(x)=\frac{-6}{5} x+7$

Because they are linear functions, a relationship can be identified if you graph the functions using a graph tool and visualize their point of intersection to see the values of x and y at that point.These values will satisfy both the functions to show that the two functions have a relationship.

Learn More:

Simultaneous equations :brainly.com/question/12318095

Keyword : Functions

#learnwithbrainly