Chapter 5 Rational Exponents and Radical Functions
Simplify: 642/3
16
Evaluate:
Log_3(1/81)
-4
You play a game that requires rolling a six-sided die then randomly choosing a colored card from a deck containing 5 red cards, 6 blue cards, and 4 yellow cards. Find the probability that you will roll a 4 on the die and then choose a yellow card.
0.044
A student decides to ask customers at a nearby Starbucks if they like coffee. What type of sample is this? Is it biased? Explain why or why not.
Convenience
Biased because you are asking people if they like coffee at a coffee shop. It is overrepresenting people who probably like coffee.
Write in simplest form root(3)(448)
4root(3)(7)
Condense the logarithm:
4Log_5x+log_5y-3log_5z
log_5((x^4y)/z^3)
You spin a spinner with 8 equal spaces numbered 1 through 8. What is the probability that the spinner lands on a 3 or a 7?
0.25
A recent survey of 200 students showed that 65% were planning to attend college in their home state. What is the margin for error for this survey?
+-7.1%
Solve the equation;
root(3)(x-2)=2
10
Expand the logarithm:
ln5xy^4
ln5 + lnx + 4lny
You spin a spinner with 8 equal spaces numbered 1 through 8. What is the probability that the spinner lands on a multiple of 3 or an odd number?
0.625
A survey reveals that 82% of females favor flat soled shoes over shoes with a heel over 0.5 inches, with a margin of error of ±3.5%. How many females were surveyed?
816 Females
Solve the Equation:
(x+3)^(3/4)-1=7
13
Solve:
2^(4x)=16^(3x-2)
1
A swimming team roster has 14 freestyle swimmers. How many relay teams of 4 swimmers can be created?
1001 ways
The price of a movie ticket is normally distributed with a mean of $8.75 and a standard deviation of $0.95. What is the probability that the price of the movie ticket is less than $7.80?
0.159
Solve the equation:
sqrt(5x-6)=x
x = 2 or x = 3
Solve the equation:
log_2x+log_2(x-2)=3
x = 4
An amusement park has two featured rides that require an additional ticket, the Slingshot and the Scream Flyer. On a summer day, 1289 visitors entered the park. 290 visitors bought tickets for either the Slingshot or the Scream Flyer. 244 visitors bought a ticket for the Slingshot and 235 visitors bought a ticket for the Scream Flyer. What is the probability that a randomly selected visitor bought tickets for both the Slingshot and the Scream Flyer?
0.147
The rate per hour for babysitting is normally distributed with a mean of $5.75 and a standard deviation of $1.25. What is the rate per hour for the top paid 15% of babysitters?
$7.05