Answer: probability = 0.506
Step-by-step explanation:
The data we have is:
Total people: 205 + 160 + 40 = 405
prefer cats: 205
prefer dogs: 160
neither: 40
The probability that a person chosen at random prefers cats is equal to the number of people that prefer cats divided the total number of people:
p = 205/405 = 0.506
in percent form, this is 50.6%
Answer:
.
In quadrilateral QRST, Q(-1,0), R(5,0), S(3.5,-6), T(-2.5,-6).
In quadrilateral Q'R'S'T', Q'(-1,2), R'(1,2), S'(0.5,0), T'(-1.5,0).
Distance formula:
Using distance formula , we get
Now,
Therefore the scale factor is .
1, 4, 5
Consider right triangle JKL with right angle JKL and height KM. This height divides triangle into two right triangles KML and KMJ.
Note that
So, by AA theorem, we have three similar triangles
So, options 1, 4 and 5 are true
With the $10 gift card, Jose can buy at most 8 songs
x(the number of songs) less than or equal to 8