Probaility is (desired outcomes)/(total possible outcomes)
odd numbers of dice is 3 (1,3,5)
desired outcomes =3
dice has 6 numbers
total possible outcomes of diece=6
3/6=1/2=dice
coin
tails=1
desired outcomes=1
total possibe=2 since 2 sides (head and tails)
cond poinbabiotiuyy=1/2
they are independend of each other since they do not influence each other
if they were like 'pick 2 collor balls and see what color you get, when you pick one, there is 1 less ball int he bucket so the propbabilit changes'
so
assuming that
P(M and N)= means
'the probability of M and N are both equal to "
The two events are independent. In the given scenario, P(M and N) =1/2.
The answer is to 18/3-7+2 x 5 is 3
Answer:
Correct choice is B
Step-by-step explanation:
The exponential regression model can be written as exponential function

Then

Thus,

When
you get

Answer:
part A) The scale factor of the sides (small to large) is 1/2
part B) Te ratio of the areas (small to large) is 1/4
part C) see the explanation
Step-by-step explanation:
Part A) Determine the scale factor of the sides (small to large).
we know that
The dilation is a non rigid transformation that produce similar figures
If two figures are similar, then the ratio of its corresponding sides is proportional
so
Let
z ----> the scale factor

The scale factor is equal to

substitute

simplify

Part B) What is the ratio of the areas (small to large)?
<em>Area of the small triangle</em>

<em>Area of the large triangle</em>

ratio of the areas (small to large)

Part C) Write a generalization about the ratio of the sides and the ratio of the areas of similar figures
In similar figures the ratio of its corresponding sides is proportional and this ratio is called the scale factor
In similar figures the ratio of its areas is equal to the scale factor squared
THEOREM:
- h² = p² + b² where h is hypotenuse, b is base and p is perpendicular.
ANSWER:
[3] By pythagorean theorem,
- x² = 14² + 9²
- x² = 196 + 81
- x² = 277
- x = √277
- x = 16.64 rounded.
[4] By pythagorean theorem,
- x² = 32² + 24²
- x² = 1024 + 576
- x² = 1600
- x = √1600
- x = 40.
[5] By pythagorean theorem,
- (2x)² = 21² – 12.6²
- 4x² = 441 – 158.76
- 4x² = 284.24
- x² = 284.24/4 = 70.56
- x = √70.56
- x = 8.4
[6] By tangent property,
- 7x – 29 = 2x + 16
- 7x – 2x = 16 + 29
- 5x = 45
- x = 9.
So, WX = 7(9) – 29 = 63 – 29