Answer:
Step-by-step explanation:
The total length of this line is 15 units. FG is 6 units long.
This means that the probability of p being on FG would be 
which can be simplified to
Answer:
The corresponding angles are congruent and the corresponding sides are congruent.
Step-by-step explanation:
The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)
<em><u>Solution:</u></em>
Given that,
<em><u>We have to substitute eqn 1 in eqn 2</u></em>
Substitute x = 2.1925 in eqn 1
y = 2.1925 + 3
y = 5.1925
Substitute x = -3.1925 in eqn 1
y = -3.1925 + 3
y = -0.1925
Thus the solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)
Answer:
P(A∪B) = 1/3
Step-by-step explanation:
Red Garments = 1 red shirt + 1 red hat + 1 red pairs of pants
Total Red Garments = 3
Green Garments = 1 green shirt + 1 green scarf + 1 green pairs of pants
Total Green Garments = 3
The total number of garments = Total Red Garments + Total Green Garments:
3 + 3 = 6
Let A be the event that he selects a green garment
P(A) = Number of required outcomes/Total number of possible outcomes
P(A) = 3/6
Let B be the event that he chooses a scarf
P(B) = 1/6
The objective here is to determine P(A or B) = P(A∪B)
Using the probability set notation theory:
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∩B) = Probability that a green pair of pant is chosen = P(A) - P(B)
= 3/6-1/6
= 2/6
P(A∪B) = 1/2 + 1/6 - 2/6
P(A∪B) = 2/6
P(A∪B) = 1/3
Answer:
D
Step-by-step explanation:
The number of months in two years is 24 months.
Now, with a repayment plan of $400 per month, the total amount returned will be 400 * 24 = $9,600
Now, $8,000 was borrowed but $9,600 was returned
The amount of interest is 9600-8000 = 1600
So what percentage of 8,000 is 1600?
1600/8000 * 100 = 16/80 * 100 = 1/5 * 100 = 20%
