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bearhunter [10]

3 years ago

12

Based on the tree diagram below what is the probability that the test for lice returns a false positive

1 answer:

Neporo4naja [7]3 years ago

4 0

Answer:

0.0492

Step-by-step explanation:

Based on the tree diagram we need to tell the the probability that the test for lice returns a false positive. False positive means that the student has no lice but still the test shows a positive result.

So for this we have to first look for the branch, from the starting node, which shows that student has no lice. From the starting point, the upper branch represents the students that have lice and lower branch represents the students who have no lice. So, we will consider the lower branch with probability mentioned as 0.82

Now, the lower branch is divided into two branches further. We have to look for the branch which shows positive test result. This would be the upper branch with probability mentioned as 0.06.

The overall probability of this event is mentioned at the end of the branch which is 0.0492

This is the probability of the combined event: Student has no lice but tests shows positive result which is the False positive.

Thus, the probability that the test for lice returns a false positive is 0.0492

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Can someone help solve

leva [86]

$\frac{-18z^{7}y^{5}-9z^{9}y^4+18z^6y^8}{9zy^{2} }= -2z^6y^3-z^8y^2+2z^5y^6$

When variables with exponents are divided by each other, you subtract the exponents.

For example:

$\frac{x^2}{x^1} = x^{2-1} =x^1$

$\frac{x^5}{x^3} =x^{5-3} = x^2$

8 0

3 years ago

The quadrilateral shown is rotated 90° clockwise about the origin. In which quadrant is the image of the quadrilateral located?

Viktor [21]

Answer:

Option (2). 1

Step-by-step explanation:

Coordinates of point A, B, C and D are,

A(-4, 4), B(-2, 4), C(-2, 1) and D(-4, 3).

Quadrilateral ABCD when rotated 90° clockwise about the origin,

Rule for the rotation of the vertices,

(x, y) → (y, -x)

Following the rule of rotation coordinates of the image points,

A(-4, 4) → A'(4, 4)

B(-2, 4) → B'(4, 2)

C(-2, 1) → C'(1, 2)

D(-4, 3) → D'(3, 4)

Since all image points have the positive coordinates (x and y coordinates), image quadrilateral A'B'C'D' will be located in 1st quadrant.

Option (2) is the correct option.

4 0

2 years ago

What is the distance between the two points loacted at 3 , 8 and 10 , 8

damaskus [11]

Answer:

Step-by-step explanation:

d=(10-3)^2+(8-8)^2=(7)^2+(0)^2=49

since it is in radical the the answer is 7

4 0

3 years ago

Read 2 more answers

Select the correct answer

Lilit [14]

Answer: 0.32

Step-by-step explanation:

3 0

3 years ago

1. A Babylonian tablet found in 1936 shows that the Babylonians sometimes used a more accurate value of π than 3. They determine

madreJ [45]

Answer:

<h2>1/4</h2>

Step-by-step explanation:

Area of a circle is given as πr² and its circumference is expressed as 2πr.

If the babylonians determined the area of a circle by taking it as equal to the square of the circle’s circumference then;

Area of circle = (circumference of a circle)²

πr² = (2πr)²

πr² = 4π²r²

Dividing both sides of the equation by πr² we have;

$\frac{\pi r^{2} }{\pi r^{2} } =\frac{4\pi^{2} r^{2} }{\pi r^{2} }\\1 = 4\pi \\\pi =\frac{1}{4}$

The value of π this yields is 1/4

6 0

3 years ago