Answer:
we have 10 red marbles and 15 white marbles
Step-by-step explanation:
<u>Step 1:</u> Given data
Total marbles = 25
Ratio red: white = 2:3
<u>Step 2:</u> Write an equation
Red marbles = X
White marbles = Y
X+ Y = 25
X = 2/3 Y
2/3 Y + Y = 25
5/3 Y = 25
Y = 15
X =2/3 * 15 = 10
To control this we can plug this in the equation X + Y = 25
10 + 15 = 25
10/15 = 2/3
This means we have 10 red marbles and 15 white marbles
Answer:
The corresponding divisor (12) is the GCF of 36 and 84.
2nd answer
LCM = 252
Step-by-step explanation:
Divide 84 (larger number) by 36 (smaller number). Since the remainder ≠ 0, we will divide the divisor of step 1 (36) by the remainder (12). Repeat this process until the remainder = 0. The corresponding divisor (12) is the GCF of 36 and 84.
2nd answer step
Find the prime factorization of 36 36 = 2 × 2 × 3 × 3 Find the prime factorization of 84 84 = 2 × 2 × 3 × 7 Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 2 × 2 × 3 × 3 × 7 LCM = 252
Answer:
P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1
Step-by-step explanation:
let assume that stick has length 1.Random variable L that make length of a longer piece and random variable U that mark point .See that L < l means that
U≤ l and 1-U ≤l
P(L ≤ l) =P (1-l ≤ U ≤ l)= l- ( 1 - l ) = 2 l - 1
this means 1-l≤U≤l
so we have
if we have L [1/2,1]
then apply the formula we have E(L)=3/4
The correct answer is A.
lets discard the other options:
For B:
B is always positive, but f(x) is not, so B graph is not the answers
For C:
C is always positive too, so it cannot be the desire graph.
For D:
D is always negative, but we know that x exponent 3 is positive for all positive numbers,
