Answer:
x=4
Step-by-step explanation:
1. distributive property
2. combine like terms
3. inverse operation
4. division or multiplication property
Answer: option 1 is the correct answer
Step-by-step explanation:
Number of times for which the die was rolled is 360. It means that our sample size, n is 360.
The probability of rolling a 5 or a 6 is 1/3. It means that probability of success,p = 1/3. The probability of failure,q is
1 - probability of success. It becomes
1 - 1/3 = 2/3
The formula for standard deviation is expressed as
√npq. Therefore
Standard deviation = √360 × 1/3 × 2/3
= √80 = 8.9443
Standard deviation is approximately 8.9
Your equation for number one is 600,788,188/760,507,625 = x/100
After cross multiplying you will get 760,507,625x = 60,078,818,800
Then you will divide by <span>760,507,625 to isolate the varible to get 78.99 = x.
Your equation in number two is 80/143 = x/100 because when you subtract 143 by 63 you get 80, the amount of males in the room. Then you cross multiply to get, 143x = 8000. Then you would divide both sides by 143 to isolate the varible to get 55%</span>
Answer:
94,080 cm^3
Step-by-step explanation:
V= L • W • H
V= 42 • 35 • 64
V= 94,080
Hope this helps, good luck!
Answer:
x² - 16xy + 64y²
Step-by-step explanation:
The difference of x and 8y is x - 8y
The square of the difference is (x - 8y)² = (x - 8y)(x - 8y)
Expand by multiplying each term in the second factor by each term in the first factor, that is
x(x - 8y) - 8y(x - 8y) ← distribute both parenthesis
= x² - 8xy - 8xy + 64y² ← collect like terms
= x² - 16xy + 64y²
