Make a conjecture: How many solutions does a quartic equation x4 + ax3 + bx2 + cx + d = 0 have? Explain.
1 answer:
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Answer:
The following measurements are:
(Option #4)
(Option #7)
(Option #5)
(Option #2)
Step-by-step explanation:
To begin, we can find the measure of by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:
Next, we can find the measure of arc QT using the same theorem. So,
Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of . Since the arc ST is part of the arc RST, and we know RS is
, we can set up and solve this equation:
We can use the same idea to find RQ. We know that RQT is and QT is
, so:
Answer:
a) "=T.INV(1-0.02,7)"
And we got
b) "=T.INV(0.85,7)"
And we got
Step-by-step explanation:
For this case we have a sample size of n=8, so we can find the degrees of freedom like this:
Part a
For this case we need a value who accumulates 0.02 of the area in the right of the t distribution with 7 degrees of freedom so we can use the following excel code:
"=T.INV(1-0.02,7)"
And we got
Part b
For this case we need a value who accumulates 0.85 of the area in the left of the t distribution with 7 degrees of freedom so we can use the following excel code:
"=T.INV(0.85,7)"
And we got