Answer:
Kindly check attached picture for sample space design
45 ways
Step-by-step explanation:
Number of qualified candidates to be chosen = 2
Number of candidates to be interviewed = 10
Combination formula :
nCr = n! / (n-r)! r!
10C2 = 10! ÷ (10 - 2)!2!
10C2 = 10*9 / 2 * 1
10C2 = 90/2
10C2 = 45 different samples
Our sample space will contain 45 different samples
Answer:
C. Kinetic energy.
Step-by-step explanation:
Kinetic energy is the energy an object has due to it's motion, since the motion of the object increased, it gained kinetic energy.
Answer:
2x+50 and 5x-55 both are congruent or have same measure.
Step-by-step explanation:
Since we want to prove that both lines are parallel, this means no theorems that involve with parallel lines apply here.
First of, we know that AC is a straight line and has a measure as 180° via straight angle.
x+25 and 2x+50 are supplementary which means they both add up to 180°.
Sum of two measures form a straight line which has 180°.
Therefore:-
x+25+2x+50=180
Combine like terms:-
3x+75=180
Subtract 75 both sides:-
3x+75-75=180-75
3x=105
Divide both sides by 3.
x=35°
Thus, x = 35°
Then we substitute x = 35 in every angles/measures.
x+25 = 35°+25° = 60°
2x+50 = 2(35°)+50° = 70°+50° = 120°
5x-55 = 5(35°)-55 = 175°-55° = 120°
Since 2x+50 and 5x-55 have same measure or are congruent, this proves that both lines are parallel.
Answer:
She will earn $85 in 10 hours.
Step-by-step explanation:
If Rachel earned $34 for 4 hours of work, we must divide the amount earned by the number of hours worked in order to find out her hourly rate and then multiply it by 10 to determine how much she would earn if she worked 10 hours.
She will earn $85 in 10 hours.
The answer is 27 I believe
