Answer: last option
Step-by-step explanation:
The formula to find the Discriminant is:
Given the quadratic equation , you can identify that:
Now, you can substitute values into the formula , then:
As the Discriminant is greater than 0 (), then the quadratic equation
has two distinct real solutions.
The correct match of each tile of the equation with its solution is:
To match each tile to the correct box, we have to solve the arithmetic operations in the box, then drag the correct tile that matches our answer into the box.
From the image attached below;
1.
n - 13 = - 12
Let us add (+13) to both sides to eliminate (-13), i.e.
n - 13 + 13 = - 12 + 13
n = 1
2.
n/5 = -1/5
multiply both side by 5
n/5 × (5) = -1/5 × (5)
n = -1
3.
n + 15 = - 10
n +15 - 15 = - 10 - 15
n = -25
Learn more about matching each tile to the correct box here:
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Answer:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
1) Previous concepts
A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".
The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".
The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".
2) Solution to the problem
On this case we want to test is since we want to check if the new model has improved the warranty rate, we can express it like this:
since are equivalent expressions.
And the alternative hypothesis should be the complement:
Null hypothesis: or
So the correct system of hypothesis for this case would be:
Null hypothesis:
Alternative hypothesis:
The alternative way should be:
Null hypothesis:
Alternative hypothesis: