Answer: p = 1/25
Step-by-step explanation:
Ok, you know that the probability of rolling a six is p = 1/5
now, if you want to have two sixes, then you have two events with a probability of 1/5.
And as you know the joint probability for two events is equal to the product of the probabilities, then the probability of rolling two sixes is:
p = (1/5)*(1/5) = 1/25.
The coordinates of the new rectangle formed after transformation are; A'(3, -1); B'(6, -1); C'(6, 4); D'(3, 4)
<h3>How to carry out rotational transformation?</h3>
We are told that the original rectangle which I labelled ABCD in the attached image is rotated 90° clockwise about the origin.
Now, from the translation of Rectangle ABCD into A'B'C'D' using the transformation rule in the question, the new coordinates are;
A'(3, -1)
B'(6, -1)
C'(6, 4)
D'(3, 4)
Read more about Rotational Transformation at; brainly.com/question/4289712
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Answer:
x=20
Step-by-step explanation:
We can use similar triangle to find x. Put the smaller triangle over the larger triangle.
11 10
-------- = ----------
121+11 10 +5x+10
Combine like terms
11 10
-------- = ----------
132 20+5x
Using cross products
11 (20+5x) = 132*10
Distribute
220 +55x = 1320
Subtract 220 from each side
220-220 +55x = 1320-220
55x = 1100
Divide by 55
55x/55= 1100/55
x =20
Answer: See below
Step-by-step explanation:
The difference between similar and congruent is the size and shape.
If two objects are similar, they look similar to each other, meaning they look the same, but not exactly the same. It can be 2 stuffed animals that look the same, but different sizes. One can be large and other can be small.
If two objects are comgruent, you know that they are EXACTLY the same. They are the same size, shape, etc. Using the example from above, you have either two large stuffed animals, or two small stuffed animals. The two large animals would be congruent to each other, same for the small animals.
![\sqrt[3]{\dfrac{-27}{125}} = -\sqrt[3]{\left(\dfrac{3}{5}\right)^{3}}=\dfrac{-3}{5}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B%5Cdfrac%7B-27%7D%7B125%7D%7D%20%3D%20-%5Csqrt%5B3%5D%7B%5Cleft%28%5Cdfrac%7B3%7D%7B5%7D%5Cright%29%5E%7B3%7D%7D%3D%5Cdfrac%7B-3%7D%7B5%7D)
The appropriate choice appears to be ...
B. -3/5
