1)
Reasons:
- Given
- Alternate Exterior
- Alternate Interior
- Substitution
2) Reasons
-Given
- Linear Pair
- Alternate Interior
- Substitution
Answer:
Our equation is:
y = f(x) = 2.5*x
The domain is the set of the values of x.
The range is the set of the values of y.
They must sell between 55 and 60 candy grams to meet their goal.
If we assume these as restrictions for the domain, then the minimum value of x is 55, and the maximum value of x is 60.
Then the domain is:
D: 55 ≤ x ≤ 60.
Now that we know the domain, we can find the range.
As our equation is linear with a positive coefficient, the minimum in the range will coincide with the minimum in the domain, then we have:
y = 2.5*55 = 137.5
And the maximum will coincide with the maximum in the domain:
y = 2.5*60 = 150.
Then the range is:
y = 137.5 ≤ y ≤ 150
Answer:
Step-by-step explanation:
The hypothesis is written as follows
For the null hypothesis,
µd ≤ 10
For the alternative hypothesis,
µ > 10
This is a right tailed test
Since no population standard deviation is given, the distribution is a student's t.
Since n = 97
Degrees of freedom, df = n - 1 = 97 - 1 = 96
t = (x - µ)/(s/√n)
Where
x = sample mean = 8.9
µ = population mean = 10
s = samples standard deviation = 3.6
t = (8.9 - 10)/(3.6/√97) = - 3
We would determine the p value using the t test calculator. It becomes
p = 0.00172
Since alpha, 0.01 > than the p value, 0.00172, then we would reject the null hypothesis. Therefore, At a 1% level of significance, there is enough evidence that the data do not support the vendor’s claim.
You list the multiples of both numbers and see which number they share that is on each table
For example,
3,6,9,(12),15,18,21,(24)
4,8,(12),16,20,(24)
12 is the least common multiple of the numbers 3 and 4
