Answer:
0.216
Step-by-step explanation:
Given that a certain new type of business succeeds 60% of the time.
3 such businesses are tested for success.
Since these three businesses open (where they do not compete with each other, so it is reasonable to believe that their relative successes would be independent). we can say X no of successful businesses is Binomial
with p = 0.6 and n =3
Required probability
=The probability that all 3 businesses succeed is:
= 
The similar circles P and Q can be made equal by dilation and translation
- The horizontal distance between the center of circles P and Q is 11.70 units
- The scale factor of dilation from circle P to Q is 2.5
<h3>The horizontal distance between their centers?</h3>
From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
<h3>The scale factor of dilation from circle P to Q</h3>
We have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
Read more about dilation at:
brainly.com/question/3457976
Answer:
Step-by-step explanation:
To find square root, you have to find out what number times itself will create the square root value:
means that there has to be a number that times itself to get 4.
2*2=4
Meaning that 2 is the perfect choice for this question.
= 2
First notice that the triangle with sides
and the triangle with sides
are similar. This is true because the angle between sides
in the smaller triangle is clearly
, while the angle between sides
in the larger triangle is clearly
. So the triangles are similar with sides
corresponding to
, respectively.
Now both triangles are
, which means there's a convenient ratio between its sides. If the length of the shortest leg is
, then the length of the longer leg is
and the hypotenuse has length
.
Since
is the shortest leg in the larger triangle, it follows that
, so
Answer:
it's unbalanced it's unbalanced it's unbalanced
