You can know a perfect square trinomial:
i) if the coefficient of a² = 1.
ii) If you divide the middle number coefficient by 2 and you square it you get the last term.
Take for example the first option:
For all the options, the coefficient of a² = 1
a² + 4a + 16.
Coefficient of a = 4.
4/2 = 2
2² = 4, this does not equal the last term so it is not a perfect square trinomial.
a² + 14a + 49.
Coefficient of a = 14.
14/2 = 7
7² = 49, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +7)²
Similarly if you test the last option.
a² + 26a + 169.
Coefficient of a = 26.
26/2 = 13
13² = 169, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +13)²
So the only two options are: a² + 14a + 49 and a² + 26a + 169.
Other options do not pass this test.
The mode is what number occurs most often. So in this set, the number that occurs most often is 5.
Mode = 5
The mean is the average of all the numbers in the set. To find the average of numbers, you add them all up then divide by how many numbers there are in the set. 5 + 6 + 8 + 3 + 5 + 7 + 4 + 11 + 5 + 7 = 61. 61 divided by 10 = 6.1 The answer is 6.1
Mean = 6.1
Good luck, my guy!
Answer:
Step-by-step explanation:
Numerical data are majorly in digit form (i.e numbers), while a categorical data deals with grouped data. Thus some probable answers to the questions are:
1. Categorical data.
ii. Possible responses could be: English breakfast or Continental breakfast.
2. Categorical data.
ii. Possible responses could be: either by road or by air transportation
3. Numerical data.
ii. Possible responses could be: 6 or 10
4. Categorical data.
ii. Possible responses could be: snacks or soft drink
5. Numerical data.
ii. Possible responses could be: 20 minutes or 30 minutes
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Answer:
in a parallelogram .......the sum.of adjacent angles is 180
11x-10+80=180
11x=110
x=10
