The appropriate hypotheses for this test are :
- Erica filled 70
- Jen filled 10
- Heather filled 10
- Tonya filled 10
<h3>Meaning of hypothesis</h3>
A hypothesis is a statement that proposes a result that will be tested to get a verified result.A hypothesis is not hundred percent true, that is why it is always put to test. Hypothesis is singular while hypotheses is plural
Making a hypothesis in this case is an attempt to predict an answer or result that will be verified by doing the experiment.
We can conclude by saying that a hypothesis is not hundred percent true.
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Answer:
2010
Step-by-step explanation:
If the numbers are x and y, you have ...
x +y = 97
x -y = 37
Adding these two equations gives ...
2x = 134
x = 67
y = 67 -37 = 30
The product is then ...
xy = (67)(30) = 2010
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<em>Alternate solution</em>
There is no need to find the actual numbers. We can go directly to their product.
(x+y)² = x² +2xy +y² = 97² = 9409
(x-y)² = x² -2xy +y² = 37² = 1369
Subtracting the second equation from the first gives ...
4xy = 9409 -1369 = 8040
xy = 8040/4 = 2010
Of course the difference of squares can be factored, so we could compute ...
(97² -37²)/4 = (97 +37)(97 -37)/4 = 134(60)/4 = 134(15) = 2010
