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2 years ago

Prove or disprove that the point lies on the circle centered at the origin

Mathematics

1 answer:

tigry1 [53]2 years ago

5 0

Answer:

Step-by-step explanation:

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Solve for x. 100° (2x+3) 51°

Inessa [10]

Answer:

Step-by-step explanation:

Exterior angle property: Exterior angle equals sum of opposite interior angles

51 + 2x +3 = 100

2x + 54 = 100

2x = 100 - 54

2x = 46

x = 46/2

x = 23

5 0

3 years ago

Read 2 more answers

Please HELP ME I need help on this final question

I am Lyosha [343]

1 and 2 are right because one has adjacent. 2 vertical angles. Vertical angles mean the same plane and adjacent means two sides of an X.

5 0

1 year ago

A medical test gives a correct result 90% of the time for infected individuals and 95% of the time for non-infected individuals.

Olenka [21]

Answer:

The proportion of the population which is infected is =0.07692

Step-by-step explanation:

Let the events be,

A: a person is infected.

B: the test result is positve

According to the question we have,

$P(B|A)=90/100=0.9,$

$P(B^c|A^c)=95/100=0.95$

$P(A|B)=0.6$

$P(B|A)=0.9 \Rightarrow \frac{P(A\cap B)}{P(A)}=0.9 \Rightarrow P(A\cap B)=0.9P(A)$

$P(A|B)=0.6 \Rightarrow \frac{P(A\cap B)}{P(B)}=0.6 \Rightarrow P(A\cap B)=0.6P(B)$

Hence,

$0.6P(B)=0.9P(A) \Rightarrow P(B)=1.5P(A)$

Now

$P(B^c|A^c)=0.95 \Rightarrow \frac{P(A^c\cap B^c)}{P(A^c)}=0.95 \Rightarrow \frac{P(A\cup B)^c}{1-P(A)}=0.95$

$\Rightarrow \frac{1-P(A\cup B)}{1-P(A)}=0.95$

$\Rightarrow 1-[P(A)+P(B)-P(A\cap B)]=0.95-0.95P(A)$

$\Rightarrow 1-P(A)-1.5P(A)+0.9(A)+0.95P(A)=0.95 \Rightarrow 0.65P(A)=0.05$

$\Rightarrow P(A)=\frac{1}{13}\Rightarrow P(A)=0.07692$

The probability that a person is infected is $\frac{1}{13}=0.07692.$

So the probability that a person is infected is =0.07692.

The proportion of the population which is infected is $\frac{1}{13}=0.07692$

Hence the proportion of the population which is infected is =0.07692

6 0

3 years ago

Help me with this please, thank you

Hoochie [10]

Answer:

2x + x + 90 = 180

3x + 90 = 180

3x = 90

x = 30°

2(30)= 60°

8 0

4 years ago

18 (- x - 2) - 4 (- 9 + 3x) = -14 Find the value of X

igomit [66]

Answer:

x = 7/15

Step-by-step explanation:

you can check by replacing the x with the number I gave you

5 0

2 years ago