Answer:
its 2 1/2 its width
Step-by-step explanation:
Since we are trying to find the number of sequences can be made <em>without repetition</em>, we are going to use a combination.
The formula for combinations is:
is the total number of elements in the set
is the number of those elements you are desiring
Since there are 10 total digits, 
in this scenario. Since we are choosing 6 digits of the 10 for our sequence, 
in this scenario. Thus, we are trying to find 
. This can be found as shown:
There are 210 total combinations.
Answer:
y=-2x+4
Step-by-step explanation:
6x+3y=12
3y=-6x+12
y=-2x+4
Let Sydney's age be x
Christine's age is 2x
Sum of their age is 54
x + 2x = 54
3x = 54
x = 18
Sydney is 18 years old.
Answer:
1. b. 14.6 ± 7.38
2. b. 3.43
3. b. 0.01 < P-value < 0.05
4. b. There is sufficient evidence to reject the null hypothesis.
Step-by-step explanation:
The hypothesis test is used to test the null hypothesis against the alternative hypothesis. The p value of the test determines whether to accept or reject the null hypothesis. In the given scenario the p value is less than 0.05 so there is sufficient evidence against the null hypothesis in favor of alternative hypothesis.
