0.16666666666.... is 1/6 as a fraction
Answer:
Null Hypothesis: p = 0.65.
Step-by-step explanation:
The null hypothesis is the expected population population, from an assumption deriving for example, from a previous experiment.
According to a researcher who was quoted in a New York Times article in March, 2011, 65% of U.S. community college students must take at least one remedial course in English
This means that the expected value of the population proportion is
, which is the null hypothesis.
Null Hypothesis: p = 0.65.
-2n-24=-8(2n-4)
Multiply both sides by -1
2n+24=8(2n-4)
Distribute the right side
2n+24=16n-32
Subtract 2n from both sides
24=14n-32
Add 32 to both sides
56=14n
Divide 14 from both sides
n=4
When you first pick a ticket, there are 2 winning tickets and 40 total tickets. This means that there is a 2/40 chance of your ticket being a winning one. This fraction can be reduced to 1/20.
After this, there will be 1 winning ticket left and 39 total tickets. There is a 1/39 chance of the next ticket being a winning one. We multiply these two fractions together to get our answer. 1/20 * 1/39 = 1/780, so there is a 1/780 chance of having 2 winning tickets.
Answer:
-5y
Step-by-step explanation:
15 = 3×5
55 = 5×11
-15xyz = -1 × 3 × 5 × x × y × z
-55xy² = -1 × 5 × 11 × x × y²
-55yz = -1 × 5 × 11 × y × z
HCF = multiply all common factors with the lowest power amongst all 3 expressions
HCF = -1 × 5 × y = -5y