B: From the origin, move 2 units back, 6 units left, and 7 units up.
Answer: 0.9738
Step-by-step explanation:
This is solved by the probability distribution formula for random variables where probability of determining random variable X is given by
P(X=r) = nCr * p^r * q^n-r
Where n = number of sample = 6
p = probability of success = 0.545
q = 1-p = 0.455
r = possible outcome from number of sample.
If 6 random births are chosen, Probability that at least 1 of them is a girl = 1 -[probability that none of them is a girl] = 1 - [probability that all 6 kids are boys]
Probability that all 6 kids are boys = 6C6 * 0.545^6 * 0.455^0 = 0.0262
Probability that at least one is a girl = 1 - 0.0262 = 0.9738.
Answer:
Step-by-step explanation:
Let's get all of the terms with the 
on the right-hand side of the equation, and everything else on the left-hand side of the equation.
To do this, we should add 
to both sides of the equation to remove the 
from the left-hand side of the equation:
Finally, to get the by itself, we can divide both sides by 
:
Answer:
11. 3^2 • 3^5 < 3^8
12. 3^3 • 3^3 > 3^5
13. Option C.
Step-by-step explanation:
11. Which of the following expressions is true?
A. 4^3• 4^4 = 412
4^3• 4^4 = 4^7 = 16384 ❌
B. 5^2 • 5^3 > 5^5
5^2 • 5^3 = 5^5 ❌
C. 3^2 • 3^5 < 3^8
3^2 • 35 = 315 ✔️
D. 5^2 • 54 = 58
5^2 • 54 = 1350 ❌
12. Which of the following expressions is true?
A. 8^3 • 8^2 < 8^4
8^3 • 8^2 = 8^5 ❌
B. 4^4 • 4^4 = 4^16
4^4 • 4^4 = 4^8 ❌
C. 2^2 • 2^6 < 2^8
2^2 • 2^6 = 2^8 ❌
D. 3^3 • 3^3 > 3^5
3^3 • 3^3 = 3^6 ✔️
13. Write the value of the expression: 3^4/3^4
3^4/3^4 = 1
The correct answer is C. 1 ✔️
Answer: Jason likely MADE an error when working the equation in his notebook because ONLY THE Y-INTERCEPT MATCHES the slope and the y-intercept of the equation he wrote.
Step-by-step explanation:
