x = 7
∠ABD = ∠CBD = 20 ( BD bisects ∠ABC )
solve either 3x - 1 = 20 or 34 - 2x = 20
3x - 1 = 20 ( add 1 to both sides and divide by 3 )
3x = 21 ⇒ x = 7
OR
34 - 2x = 20 ( subtract 34 from both sides and divide by - 2 )
- 2x = - 14 ⇒ x = 7
If earning more money from a college degree occurs, a researcher is interested in finding out. She is aware that the average annual household income in thousands is μ<=80.
The null hypothesis is a claim made about the population parameter in relation to the test's goal and in opposition to the alternative hypothesis.
- The term "null hypothesis" refers to a researcher's attempt to reject or "nullify" a commonly held assumption (such as that the sky is blue). A null hypothesis is "a statistical theory suggesting that no statistical relationship exists between given observed variables," according to a more formal definition.
- It always contains = , ≤ , ≥ signs.
- The results will be examined using a one-tailed hypothesis test.
Hence, μ<=80
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Answer:
Parallel line to a: y=1/4x+1
Perpendicular to line a: y=-4x-3
Neither parallel nor perpendicular to line a
: y=4x-8
Step-by-step explanation:
I just took this test and these were my answers!
Answer:
Step-by-step explanation:
First off, I'm assuming that when you said "directrices" you mean the oblique asymptotes, since hyperbolas do not have directrices they have oblique asymptotes.
If we plot the asymptotes and the foci, we see that where the asymptotes cross is at the origin. This means that the center of the hyperbola is (0, 0), which is important to know.
After we plot the foci, we see that they are one the y-axis, which is a vertical axis, which means that the hyperbola opens up and down instead of sideways. Knowing those 2 characteristics, we can determine that the equation we are trying to fill in has the standard form
We know h and k from the center, now we need to find a and b. Those values can be found from the asymptotes. The asymptotes have the standard form
y = ±
Filling in our asymptotes as they were given to us:
y = ±
where a is 2 and b is 1. Now we can write the formula for the hyperbola!:
which of course simplifies to
