Answer:
117 ft
Step-by-step explanation:
To find the area of any shape, just multiply height by width. In this problem, our given height is 9, and the given width is 13. We just need to do 9 x 13 to get a final area of 117 feet. The work can be seen down below!
9 x 13 = 117 ft
Answer:
D makes sense. I think the answer is D.
Answer:
B = 22
C = 122
D = 36
Step-by-step explanation:
The angles of a triangle add to 180. Take the measure of each angle add them together. Set them equal to 180.
2x + x + 4 + 7x - 4 = 180
10x = 180
x = 18
To find each angle, substitute x = 18.
Angle B is 18 + 4 = 22
Angle C is 7(18) - 4 = 122
Angle D is 2(18) = 36
Answer:
The value of <em>y</em> = 40.
Step-by-step explanation:
We have been given that Δ ABC is isosceles with AB = AC.
Since opposite angles of equal sides are equal, we have,
∠C = ∠B and so
5<em>x</em> = 40
<em>x</em> = 8
Now, by angle sum property,
∠A + ∠B + ∠C = 180⁰
(2<em>y</em> + 20) + 40 + 40 = 180
(2<em>y</em> + 20) + 80 = 180
(2<em>y</em> + 20) = 180 - 80
2<em>y</em> + 20 = 100
2<em>y</em> = 100 - 20 = 80
<em>y</em> = 40
Hence, the value of y = 40°.
Answer:
![Probability = 0.0470](https://tex.z-dn.net/?f=Probability%20%3D%200.0470)
Step-by-step explanation:
This question has missing detail. (See attachment for the data)
Required
Determine the probability that a selected individual who has the disease test negative.
This type of probability is referred to as conditional probability.
First, we need to get the number of individuals who have the disease.
![Disease =142 + 7](https://tex.z-dn.net/?f=Disease%20%20%3D142%20%2B%207)
![Disease =149](https://tex.z-dn.net/?f=Disease%20%20%3D149)
Next, we list out the number of individual who have the disease but is negative.
![Negative = 7](https://tex.z-dn.net/?f=Negative%20%3D%207)
The probability is then calculated as:
![Probability = \frac{Negative}{Disease}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7BNegative%7D%7BDisease%7D)
![Probability = \frac{7}{149}](https://tex.z-dn.net/?f=Probability%20%3D%20%5Cfrac%7B7%7D%7B149%7D)
![Probability = 0.04697986577](https://tex.z-dn.net/?f=Probability%20%3D%200.04697986577)
<em>(approximated)</em>