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3 years ago

Jennifer thinks the angles below are not supplementary because they are a pair of non-adjacent angles. Is Jennifer correct?

Mathematics

2 answers:

Novay_Z [31]3 years ago

5 0

Is there a photo that goes with the question?

lidiya [134]3 years ago

4 0

Can you please post the picture that will help a lot! :D

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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:

D = a person has the disease

X = 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

Write an equation that you can use to find the value of x.

MariettaO [177]

Line CA is a straight line, meaning it adds up to 180°

Line BE splits the line into two supplementary angles, because when the two angles are added together they will equal 180°

Using the rule of supplementary angles, we can then make the equation 3x + 8x + 15 = 180

Now, simplify the equation by combining like terms

11x + 15 = 180

To solve, isolate x

11x + 15 = 180
11x = 165
x = 15

7 0

2 years ago

Let f(x) = x2- 3x - 7. Find f(-3)

Alexxx [7]

F(x) = x^2 - 3x - 7
f(-3) = (-3)^ 2 - 3(-3) - 7
f(-3) = 9 + 9 - 7
f(-3) = 18 - 7
f(-3) = 11

6 0

3 years ago

The formula that describes an object's motion is given by s=ut+1/2at^2, where s is the distance traveled, u is the initial veloc

victus00 [196]

None of the offered choices is correct.

The correct equation is
.. a = (2s -2ut)/t^2 . . . . . . . . parentheses are required

4 0

3 years ago

Solve each inequality and graph the solution 5+ x <12

Ber [7]

Answer:

Inequality Form:

x<7

Interval Notation:

(−∞,7)

Step-by-step explanation:

plz give brainlyest

8 0

3 years ago