Answer:
3/2
Step-by-step explanation:
(64/729)^(−1/6)=(2^6/3^6)^(-1/6)=(2/3)^-1=3/2
Answer:
We accept the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Sample mean, 
= 28.8 miles per gallon
Sample size, n = 120
Alpha, α = 0.01
Sample standard deviation, σ = 6.89 miles per gallon
First, we design the null and the alternate hypothesis
We use Two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
Since,
We fail to reject the null hypothesis and accept it.
We accept the null hypothesis and the population mean MPG of Toyota Highlander Hybrid vehicles is equal to 28 miles per gallon.
Answer:
Katherine will make minimum 8 playlists. Each playlist will contain 4 pop songs and 9 rock songs.
Step-by-step explanation:
We have been given that Katherine has 32 pop songs and 72 rock songs on her mp3 player. She is willing to organizing the songs into playlists such that there are equal number of pop songs and an equal number of rock songs into each playlist.
We can find the minimum number of playlists by finding GCF of the given two numbers.
We can write 32 = 2^5 and we can write 72 = 2^3*3^2
Therefore, GCF of the two numbers is 2^3 = 8.
Hence, she will be making total 8 playlists where each playlist will contain 4 pop songs and 9 rock songs.
If I have a stack of pennies. And I have to tell that without counting whether there are even number of pennies or odd.
Even numbers are the numbers which are divisible by 2 and odd numbers are the numbers which are not divisible by 2.
Then I will put the given pennies in 2 rows and then I will match them to form a pair of 2 pennies.
After matching, if there is 1 penny left over, then there is an odd number of pennies and if all the pennies have a match,then there is an even number of pennies.
Answer:
about 135 more miles to go
Step-by-step explanation:
