Answer:
is the required simplification.
Step-by-step explanation:
Here, the given expression is (6x−4)(3x−1).
By DISTRIBUTIVE PROPERTY of numbers:
A ( B + C ) = AB + AC
Simplifying the given expression, we get:
or,
Hence the given expression is simplified.
Answer: 29%
Step-by-step explanation:
if we do not consider Aces face cards
there are 12 face cards in a deck ( 4 jacks 4 queens 4 kings)
there are 52 cards
drawing the first card
12/52
second card without replacement
11/51
12/52*11/51
1/4 *11/51
11/204
Answer:11.7
Step-by-step explanation:
1. Recognize variables. Starting price is 9, it’s increasing by 1.5% each year, the question asks for the price in 20 years.
2. Convert percentage to decimal. Most calculators won’t understand multiplying by percentages, and instead will understand multiplying by decimals. A decimal is something we can easily work with. It is more commonly taught to work with decimals as well. With that said 1.5% equals .015. (The number in the ones place in the percentage is always in the hundredths place when converted to a decimal, the tens to the tenths, the hundreds in the percentage to the ones place in the decimal, the hundredths in the percentage to the ten thousandths in the decimal. Basically, every individual number [the 5 in 1.5] moves two spaces to the right when going from percentage to decimal form, likewise two to the left going from decimal to percentage form. 23%=.23, 104%=1.04, 0.5%=.05, 1.234%=.01234)
3. Make your equation
20(9*(.015))+9
+9 is your starting point
9*(.015) gives you the amount the price increases per year
20 is multiplied then to that increased price for the next 20 years
4. Crunch em numbers
PEMDAS
Answer:
H₁ = The local pizza takes less time than the chain.
H₀= The local pizza takes more time than the chain.
Step-by-step explanation:
Since you want to know if the advertisement by the local pizza restaurant ("It delivers to the dormitories faster than a local branch of a national chain") is true, the hypothesis to be performed is
H₁ = The local pizza takes less time than the chain.
H₀= The local pizza takes more time than the chain.