A swimming pool, in the shape of a rectangular prism, is 50 meters long, 25 meters wide, and 3 meters deep. A liter is the same as 0.001 cubic meters. How many liters of water are needed to completely fill the pool? I understand half of this question. You have to find the volume of the swimming pool by using B x W x H, which is 50 x 25 x 3 = 3,750 meters. What I don't understand is how to covert 750 meters into liters. Help...?
To find liters from meters, multiply the meters by 1000. 1 meter equals 1000 liters. So, the answer would be 375000 from 3,750
choose a second tile. Find the probability of the dependent event(s) both
occurring.
1/2/3/4/5/6/7
-
Choosing a 6 and then a prime number
Choosing two odd numbers
Answer:
Choosing a 6 and then a prime number:2/21
Choosing two odd numbers: 2/7
Step-by-step explanation:
Choosing a 6 and then a prime number:
The probability of choosing 6 out of 1, 2, 3, 4, 5, 6 and 7 is one event divided by number of total events (which is equal to 7). That results in 1/7. Once 6 is chosen, the probability of choosing a prime number (prime number is a number that can only be divided by 1 and itself) out of 1, 2, 3, 4, 5 and 7 is 4/6 (prime numbers are 2, 3, 5, 7 in total there are 4 number and total number of events are 6). Finally, the probability of choosing a 6 and then a prime number is (1/7)*(4/6)=2/21.
Choosing two odd numbers:
The probability of choosing 1st odd number is 4/7 (number of odd numbers is 4 which includes 1, 3, 5, 7 and the number of total events is 7). Once 1st odd number is chosen, the probability of choosing 2nd odd number is 3/6 (number of odd numbers is 3 - because 1 odd number is already chosen and the number of total events is 6). Finally, the probability of choosing two odd numbers in a sequence is (4/7)*(3/6)=2/7.
Answer:
y = x² + x - 4
Step-by-step explanation:
Given roots x = a and x = b, then the factors are
(x - a) and (x - b)
The function is then the product of the factors
y = a(x - a)(x - b) ← where a is a multiplier
Given roots are x = - 4 and x = 2 then the factors are
(x - (- 4)) and (x - 2), that is (x + 4) and (x - 2), thus
y = a(x + 4)(x - 2)
To find a substitute (6, 20) into the function
20 = a(6 + 4)(6 - 2) = a(10)(4) = 40a ( divide both sides by 40 ), thus
a = =
y = (x + 4)(x - 2) ← expand factors
= (x² + 2x - 8) ← distribute
y = x² + x - 4