Answer:
Step-by-step explanation:
Given that we pick up three people at random.
We can ignore the leap year so we assume there are 365 days in a year.
Probability for a person to be born on a specific data is equally likely and hence equal to

Each person out of three persons is independent of the other.
Hence for the second person to have the same birthday would have equal probability.
X = No of persons to have common birthday is binomial with n =3 and p = 
a) the probability that the first two people share a birthday
= 
b) the probability that at least two people share a birthday
= 
Answer:
14% od 2 gallons
Step-by-step explanation:
hope this helped also is this blue sign showing up saying something out exam mode?
Answer:
The similar triangles are
and 
and 
Step-by-step explanation:
Given
See attachment for the required figure
Solving (a): The similar triangles
The similar triangles are
and 
Solving (b): Why they are similar
Both triangles are similar because
is dilated (i.e. enlarged) and then reflected to give
.
Solving (c): Calculate BE and PE
The following are equivalent ratios

and

Solving for BE, we have:

Substitute the known values

Express as fraction

Multiply both sides by 450


-- approximated
Solving for PE, we have:

Substitute known values

Express as fraction

Multiply both sides by 400



Answer:
x = -0.5
Step-by-step explanation:
-3x+7x can be simplified to 4x (subtract 3 from 7 since it's a negative)
then you get
4x = -2
From here, divide both sides by 4 to isolate the x
4x/4 = -2/4
Then you'd get
x = -2/4
or you can simplify that to
x = -1/2 or x = -0.5
To find the distance b/t 2 points you need to use the distance formula. that is
distance = square root of (x2-x1)^2 + (y2-y1)^2
to fill it in, it is
(it doesnt matter which point you start with, as long as its consistent)
x1 = 9
x2 = 5
y1 = -8
y2 = -10
square root of (5-9)^2 + (-10-8)^2
lets do algebra!
square root of (-4)^2 + (-18)^2
square root of 16 + 324
square root of 340
Distance = 18.4391 units.
I hope this helps!