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sammy [17]
2 years ago
9

The lines shown below are perpendicular.

Mathematics
2 answers:
elena-14-01-66 [18.8K]2 years ago
4 0
The answer is True. In geometry, perpendicular lines are defined as two lines that meet or intersect each other at right angles (90°).
Vera_Pavlovna [14]2 years ago
4 0

\Large\maltese\underline{\textsf{Our problem:}}

The lines shown below are perpendicular. Is this statement true or false?

\Large\maltese\underline{\textsf{This problem has been solved!}}

In order for a pair of lines to be perpendicular, they must intersect at a \bf{90^\circ} angle. (a right angle)

\bf{Since\;the\;green\;line\;and\;the\;red\;one\;intersect\;at\;a\;right\;angle,}\\they\;are\;perpendicular.\\\\Hope\;you\;will\;have\;a\;fantabulous\;day!}

\rule{300}{1.7}

\boxed{\bf{aesthetic \not101}}

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2.5% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely ac
Aleks04 [339]

Answer:

P(disease/positivetest) = 0.36116

Step-by-step explanation:

This is a conditional probability exercise.

Let's name the events :

I : ''A person is infected''

NI : ''A person is not infected''

PT : ''The test is positive''

NT : ''The test is negative''

The conditional probability equation is :

Given two events A and B :

P(A/B) = P(A ∩ B) / P(B)

P(B) >0

P(A/B) is the probability of the event A given that the event B happened

P(A ∩ B) is the probability of the event (A ∩ B)

(A ∩ B) is the event where A and B happened at the same time

In the exercise :

P(I)=0.025

P(NI)= 1-P(I)=1-0.025=0.975\\P(NI)=0.975

P(PT/I)=0.904\\P(PT/NI)=0.041

We are looking for P(I/PT) :

P(I/PT)=P(I∩ PT)/ P(PT)

P(PT/I)=0.904

P(PT/I)=P(PT∩ I)/P(I)

0.904=P(PT∩ I)/0.025

P(PT∩ I)=0.904 x 0.025

P(PT∩ I) = 0.0226

P(PT/NI)=0.041

P(PT/NI)=P(PT∩ NI)/P(NI)

0.041=P(PT∩ NI)/0.975

P(PT∩ NI) = 0.041 x 0.975

P(PT∩ NI) = 0.039975

P(PT) = P(PT∩ I)+P(PT∩ NI)

P(PT)= 0.0226 + 0.039975

P(PT) = 0.062575

P(I/PT) = P(PT∩I)/P(PT)

P(I/PT)=\frac{0.0226}{0.062575} \\P(I/PT)=0.36116

8 0
3 years ago
Help picture attached!!
tigry1 [53]
I think it would be D, because you would divide the 1/8 be 5, giving you 1/40
6 0
3 years ago
Read 2 more answers
Help on this question please!!!
OLga [1]

Answer:

Hello! Here is your answer

Step-by-step explanation:

112=4(28)

a=4b

You can only have one variable so:

Combine b to a:

a-b=84

4b-b=84

Divide both sides by 3:

3b/3=84/3

b=28

But that is not it:

Sum of both cards:

a+b

a=112

b=28

112+28=140

          = 140

I hope I was of help.  If not please let me know! Thank you! Good luck!

4 0
3 years ago
The volume of a boys' basketball is 434 cubic inches. Dan would like to get a ball
Nataly_w [17]

Answer:

The correct answer is A. 9.4 inches.

Step-by-step explanation:

Given that the volume of a boys' basketball is 434 cubic inches, and Dan would like to get a ball with half the volume for his son, to determine what is the diameter of the ball that Dan will buy for his son, the following calculation has to be done, knowing that the volume of a sphere is four thirds multiplied by pi multiplied by the radius cubed:

4/3 x 3.14 x X ^ 3 = 434

4.186 x X ^ 3 = 434

X ^ 3 = 434 / 4.186

X = 3√ 103.662

X = 4.7

In turn, since the radius of a sphere is equal to half its diameter, the diameter of the basketball is 9.4 inches (4.7 x 2).

4 0
3 years ago
What are the coordinates of the terminal point determined by T=20pi/3
Serga [27]

Answer:

t=5x=3049

Step-by-step explanation:

3 0
2 years ago
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