Amber earns $150 a week plus $10 for each tree she sells.

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

Neporo4naja [7]

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

4 0

2 years ago

Sketch the graph of the given equation. y = x2 + 8x +15

Tamiku [17]

The pictures may be in a different order for you but it’s the 3rd graph where the minimum is (-4,-1)

3 0

2 years ago

All triangles have at least 2 acute angles

katrin2010 [14]

Correct
a right triangle will have 1 right angle and 2 acute angles.
an obtuse triangle will have 1 obtuse triangle and 2 acute angles.

6 0

2 years ago

GUYS HELP! IS THIS CORRECT???<br> ILL MARK YOU BRAINIEST!

SashulF [63]

Answer:12

Step-by-step explanation:

it’s 12 because 4 x 3 = 12

8 0

2 years ago

Read 2 more answers

The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square kilometers, find the dimensions

Art [367]

Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
$x(2x - 6) = 2 {x}^{2} - 6x$

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

$2 {x}^{2} - 6x = 108$
Subtract 108

$2 {x}^{2} - 6x - 108 = 0$
Divide by 2.

${x}^{2} - 3x - 54$
$(x - 9)(x + 6) = 0$
Rule AB = 0, gives A is 0 or B is 0.

$x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6$

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
$x = 9$
Width
$2x - 6 = 2 \times 9- 6 = 18 - 6 = 12$

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!

6 0

3 years ago