Answer:
38
Step-by-step explanation:
k= - 19 / - 0.5= -19*-2=38
The required additional information required to prove the Triangles congruent are :
The Triangles will be congruent by HL congruency.
The Triangles are congruent by LL congruency.
The Triangles are congruent by HA congruency.
The Triangles are congruent by LA congruency.
area = π times radius squared
Answer:
0.2384 = 23.84% probability that 3 were laser printers.
Step-by-step explanation:
The printers will be chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
is the number of different combinations of x objects from a set of n elements, given by the following formula.
In this question:
20 orders means that
8 were laser printers, which means that
Sample of 5 means that
What is the probability that 3 were laser printers?
This is P(X = 3).
0.2384 = 23.84% probability that 3 were laser printers.
<u>Given points:</u>
<u>Find the slope:</u>
- m = (1 - (-5))/(0 - 2) = 6/(-2) = -3
<u>Point - slope form:</u>
- y - (-5) = -3(x - 2) ⇒ y + 5 = -3(x - 2)
<u>Convert into slope- intercept form:</u>
- y = -3x + 6 - 5 ⇒ y = -3x + 1
<u>Convert into standard form:</u>