Answer:
Probability distribution
X P(X)
0 1/8
1 3/8
2 3/8
3 1/8
Step-by-step explanation:
When a coin is tossed there are two outcomes head and tail. When three coins are tossed the possible outcomes are
Sample space=S={HTH,THH,TTH,HHH,HTT,THT,TTT,HHT}
The total number of outcomes is n(S)=8. The X be the random variable counting number of tails in each outcome and so X can take values as 0,1,2,3. The probabilities can be computed as P(X)=n(X)/n(S). The probabilities are calculated as under:
X Outcomes P(X)
0 HHH 1/8
1 HHT,THH,HTH 3/8
2 TTH,HTT,THT 3/8
3 TTT 1/8
The probability distribution of X is as under:
X P(X)
0 1/8
1 3/8
2 3/8
3 1/8
If the triangles ABC and A'B'C' are similar, then
angle A = angle A'
8x-10 = 6x+10
8x-6x = 10+10
2x = 20
x = 20/2
x = 10
So angle A is
angle A = 8x-10
angle A = 8*10-10
angle A = 80-10
angle A = 70
making that the measure of angle A' as well
This is why the answer is choice A
Answer:
The answer is 35.
35% of the class had scores that were greater than 70 but less than 85.
Step-by-step explanation:
Let's assume the number of students in the class =100
If 75% of the class scored greater than 70, then, it means 25% (100-75) of the scores were less than or equal to 70
In other words, 25 scores were less than or equal to 70.
If 60% of the class had scores that were less than 85, then, it means 40%(100-60) of the scores were greater than or equal to 85
Therefore, of the 100 scores, 25 scores were LESS THAN OR EQUAL to 70, and 40 scores were GREATER THAN OR EQUAL to 85.
We've now accounted for 65 (25+40) scores, which means the remaining 35 (100-65) scores must be between 70 and 85.
Answer:
D
Step-by-step explanation:
We can substitute y = 2x + 1 in the second equation
2x + 1 = -7x + 8
Add 7x to both sides
9x + 1 = 8
Subtact 1 from both sides
9x = 7
x = 7/9
Substituing x in the first equation
y = 14/9 + 1
x rounds to 0.8
y rounds to 2.5
He needs to magnify the fire ant 5 times, and the crab spider 4, because 20 is a common multiple for both.
