Area of equilateral triangle = a^2/4 * √3 so side of triangle = a
but if area of equilateral triangle = area of square multiplied by √3 then area of square = a^2 / 4 so side of square = a/2
the ratio length of side triangle to length side of square = a: a/2 that means the side of triangle is doubled the side of square
answer
a) 2:1
Answer:
P=0.147
Step-by-step explanation:
As we know 80% of the trucks have good brakes. That means that probability the 1 randomly selected truck has good brakes is P(good brakes)=0.8 . So the probability that 1 randomly selected truck has bad brakes Q(bad brakes)=1-0.8-0.2
We have to find the probability, that at least 9 trucks from 16 have good brakes, however fewer than 12 trucks from 16 have good brakes. That actually means the the number of trucks with good brakes has to be 9, 10 or 11 trucks from 16.
We have to find the probability of each event (9, 10 or 11 trucks from 16 will pass the inspection) . To find the required probability 3 mentioned probabilitie have to be summarized.
So P(9/16 )= C16 9 * P(good brakes)^9*Q(bad brakes)^7
P(9/16 )= 16!/9!/7!*0.8^9*0.2^7= 11*13*5*16*0.8^9*0.2^7=approx 0.02
P(10/16)=16!/10!/6!*0.8^10*0.2^6=11*13*7*0.8^10*0.2^6=approx 0.007
P(11/16)=16!/11!/5!*0.8^11*0.2^5=13*21*16*0.8^11*0.2^5=approx 0.12
P(9≤x<12)=P(9/16)+P(10/16)+P(11/16)=0.02+0.007+0.12=0.147
Answer:
Margret need to get 4 boxes of cookies.
Step-by-step explanation:
Total friends = 3
Cookies each friend will get = 8
Each box has cookies = 6 cookies
How many boxes does Margret need to get?
Total cookies will be= Total friends x Cookies each friend will get
Total cookies will be= 3 x 8 = 24
If one box has 6 cookies and we need total 24 cookies so, divide 24 by 6 to get number of boxes
Number of boxes = Total cookies/ number of cookies in one box
Number of boxes = 24/6
Number of boxes = 4
So, Margret need to get 4 boxes of cookies.
Answer:
y=22 x=18
Step-by-step explanation:
