The answer to number one is A
Answer:
64x^12 / y^20
Step-by-step explanation:
(4x^3y^-5)^4
<em>Distribute the exponential value of 4 to all terms in the parentheses.</em>
4^4 * x^(3*4) * y^(-5*4)
<em>Multiply each exponent.</em>
64x^12 * y^-20
<em>Make the negative exponent positive by making it a fraction.</em>
64x^12 / y^20
48.4% of 27369....turn percent to decimal..." of " means multiply
0.484(27369) = 13246.596....round down to 13246 horses
Answer:
The probability that the maximum number of draws is required is 0.2286
Step-by-step explanation:
The probability that the maximum number of draws happens when you pick <em>different colors in the first four pick</em>.
Assume you picked one sock in the first draw. Its probability is 1, since you can draw any sock.
In the second draw, 7 socks left and you can draw all but the one which is the pair of the first draw. Then the probability is 
In the third draw, 6 socks left and you can draw one of the two pair colors which are not drawn yet. Its probability is 
In the forth draw, 5 socks left and only one pair color, which is not drawn. The probability of drawing one of this pair is 
In the fifth draw, whatever you draw, you would have one matching pair.
The probability combined is 1×
×
×
≈ 0.2286
Answer:
Taylor's age = x = 35 years
Marty's age = y = 50 years
Step-by-step explanation:
Let
Taylor's age = x
Marty's age = y
Taylor is 15 years younger than Marty.
x = y - 15
Twice Marty’s age added to three times Taylors age totals 205.
205 = 2y + 3x...... Equation 1
Therefore, we substitute y - 15 for x in
205 = 2y + 3x...... Equation 1
205 = 2y + 3(y - 15)
205 = 2y + 3y - 45
Collect like terms
205 + 45 = 5y
250 = 5y
y = 250/5
y = 50 years
x = y - 15
x = 50 - 15
x = 35 years
Solving for x
Therefore:
Taylor's age = x = 35 years
Marty's age = y = 50 years