Answer:
13
Step-by-step explanation:
ABC ~ DEF means that ABC and DEF are the same triangle either expanded or contracted.
In this case the scale factor is 1/2. That means DEF is half ABC.
Since AB = 26 then DE must be 26/2 = 13
Answer:
The slope of the line passing through the points (-3, 7) and (2, -6) is -13/5.
Step-by-step explanation:
Use the slope formula to find the slope of the line based on two points.
m = y₂ - y₁/x₂ - x₁
Substitute the values
m = -6 - 7/2 - (-3)
Simplify.
m = -13/5
The slope of this line is -13/5.
Answer:

Step-by-step explanation:
Given:


We know that, conditional probability of B given that A has occurred is given as:
. Expressing this in terms of
, we get

Plug in the known values and solve for
. This gives,

Therefore, the probability of events A and B occurring is
.
Given:
A baseball player get a hit in 31% of his at-bats.
To find:
The probability that he will get a hit 5 at-bats in a row.
Solution:
Since, a baseball player get a hit in 31% of his at-bats, therefore
Probability that he get a hit = 
= 
Now, the probability that he will get a hit 5 at-bats in a row is



Therefore, the required probability is
and it can be written as 0.0028629151
.
Answer:
Step-by-step explanation: