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Answer:
no
Step-by-step explanation:
The sum of the angles of a triangle must add to 180 degrees
115+55+20 = 190
This is not equal to 180 so it is not a triangle.
Step-by-step explanation:
∴ Addition is associative. ∴ Subtraction is not associative. ∴ Multiplication is associative. ∴ Division is not associative.
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Associativity for Integers.
Operation Commutative True / False
Addition a + (b + c) = (a + b) + c True
Subtraction a − (b − c) = (a − b) − c False
Let the balloon pump be m and one pack of balloons be n.
we will use the given data to calculate the the price of balloon pump (m) as well as the price of one pack of balloons (n). Then, we will use these prices to calculate the requirement.
First, we know that 1 balloon pump (m) added to 3 packs of balloons (3n) costs 9<span>£
this means that: m + 3n = 9
therefore: m = 9 - 3n .................> equation 1
Then, we know that one pump (m) and 4 packs (4n) cost 11</span><span>£.
this means that: m + 4n = 11 ..........> equation 2
Substitute with equation 1 in 2:
9 - 3n + 4n = 11
n = 11 - 9
n = 2</span><span>£
Substitute with the value of n in equation 1:
m = 9 - 3n = 9 - 3(2) = 9 - 6 = 3</span><span>£
we know to know the price of one pump and eight packs:
price = m + 8n = 3 + 8(2) = 3 + 16 = 19</span><span>£</span>
Answer:
21.6 hours
Step-by-step explanation:
Hypothesis testing allows to identify a event test. The correct order of the steps of a hypothesis test is given following
1. Determine the null and alternative hypothesis.
2. Select a sample and compute the z - score for the sample mean.
3. Determine the probability at which you will conclude that the sample outcome is very unlikely.
4. Make a decision about the unknown population.
These steps are performed in the given sequence to test a hypothesis.
The principal tests the hypothesis with a mean of 21.6 hours for the determination of average amount of time spent watching television.