Your answer is A: 15 inches by 15√3 inches.
We can use trigonometry to solve this. If we draw out one of the triangles we can label the 30 inch side as the hypotenuse, and then the other sides as the opposite and adjacent. Then we just have to find the lengths of these.
To find the opposite, we use the trigonometric ratio sinθ = opposite ÷ hypotenuse, and thus the opposite is sin(60) × 30 = 15√3
Automatically now we know the answer is A because that is the only option with 15√3 as a side, but you could also solve using cosθ = adjacent ÷ hypotenuse and get the other side.
I hope this helps!
Using the principle of probability, the probability that the outcome of both spins does not land on "<em>bankrupt</em><em>"</em><em> </em>is 1/144
<u>Given</u><u> </u><u>the</u><u> </u><u>Parameters</u><u> </u><u>:</u>
- Total Number of possible outcomes = 24
- Number of outcomes labeled bankrupt = 2
- Labels which aren't labeled bankrupt = 24 - 2 = 22
<u>Recall</u><u> </u><u>:</u>
- P(A) = <em>required</em><em> </em><em>outcome</em><em> </em><em>/</em><em> </em><em>Total</em><em> </em><em>possible outcomes</em><em> </em>
<u>First</u><u> </u><u>spin</u><u> </u><u>:</u>
- P(not bankrupt) = 2 / 24 = 1/12
<u>Second</u><u> </u><u>spin</u><u> </u><u>:</u>
- P(not bankrupt) = 2/24 = 1/12
P(<em>neither</em><em> </em><em>lands</em><em> </em><em>on</em><em> </em><em>bankrupt</em><em>)</em><em> </em><em>=</em><em> </em>1/12 × 1/12 = 1/144
Therefore, the probability that neither lands on bankrupt is 1/144
Learn more : brainly.com/question/18405415
To calculate the distance between two points on the coordinate system you have to use the following formula:
![d=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%5B%5D%7B%28x_1-x_2%29%5E2%2B%28y_1-y_2%29%5E2%7D)
Where
d represents the distance between both points.
(x₁,y₁) are the coordinates of one of the points.
(x₂,y₂) are the coordinates of the second point.
To determine the length of CD, the first step is to determine the coordinates of both endpoints from the graph
C(2,-1)
D(-1,-2)
Replace the coordinates on the formula using C(2,-1) as (x₁,y₁) and D(-1,-2) as (x₂,y₂)
![\begin{gathered} d_{CD}=\sqrt[]{(2-(-1))^2+((-1)-(-2))}^2 \\ d_{CD}=\sqrt[]{(2+1)^2+(-1+2)^2} \\ d_{CD}=\sqrt[]{3^2+1^2} \\ d_{CD}=\sqrt[]{9+1} \\ d_{CD}=\sqrt[]{10} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B%282-%28-1%29%29%5E2%2B%28%28-1%29-%28-2%29%29%7D%5E2%20%5C%5C%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B%282%2B1%29%5E2%2B%28-1%2B2%29%5E2%7D%20%5C%5C%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B3%5E2%2B1%5E2%7D%20%5C%5C%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B9%2B1%7D%20%5C%5C%20d_%7BCD%7D%3D%5Csqrt%5B%5D%7B10%7D%20%5Cend%7Bgathered%7D)
The length of CD is √10 units ≈ 3.16 units
Answer:
it's a black image theres no line
Answer:
a) 
And we can find this probability with the following difference:
b) 
And we can find this probability with the following difference:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Part a
Let X the random variable that represent the diameters of a population 1, and for this case we know the distribution for X is given by:
Where 
and 
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the following difference:
Part b
And we can find this probability with the following difference:
