Given:
The vertices of the rectangle ABCD are A(0,1), B(2,4), C(6,0), D(4,-3).
To find:
The area of the rectangle.
Solution:
Distance formula:
Using the distance formula, we get
Similarly,
Now, the length of the rectangle is and the width of the rectangle is . So, the area of the rectangle is:
Therefore, the area of the rectangle is 20 square units.
Answer:
D.) 0.9990
Step-by-step explanation:
Given :
Number of questions = 10
True or False questions ; probability of success, p = 1/2 = 0.5
Using binomial distribution :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability of getting atleast one correct answer :
P(x ≥ 1) = p(1) + p(2) +... P(x = 10)
Using a binomial probability calculator :
P(x ≥ 1) = 0.9990
The equasion she would use would be 60,000 = 1000x + 40,000
this would means 1,000 times a number plus the 40,000 shes already getting equals 60,000
Answer:
152£
Step-by-step explanation:
1. 1/3 of the coins is 255/3=85 85coins is worth 1£
2. 110 of the coins are worth 50p
3. to figure out hos many 20p coins
total number of coins - number of 1£ coins - number of 50p coins
255-85-110=60
60 of the coins are worth 20p
4 add everything togheter
85£ from first
110/2=55£ from second
60 coins are worth 20p
5 coins make 1£
60/5=12£
5. add everything 85+55+12=152£
Answer:
seven hundred ten and two hundred and thirty one 700,000+ 10,000+ 200+30+1
Step-by-step explanation: