I AM STUCK AND NEED HELP will give 30 points
2 answers:
<h3>Answer: A) infinite solutions</h3>
Explanation:
Despite there only being one line shown, there are actually two lines here. One just happens to be directly on top of the other.
We can see this by noting that 2y = 3x-1 turns into 4y = 6x-2 when we multiply both sides by 2. Multiplying both sides by the same number keeps the same equation, so that's why we have identical graphs.
The two identical graphs intersect each other infinitely many times, leading to infinitely many solutions. All solutions are (x,y) points on the blue line. Two such solutions are (1,1) and (3,4). All solutions are of the form
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Answer:
Step-by-step explanation:
<u><em>The complete question is</em></u>
A circle with a radius of 3 cm sits inside of a circle with a radius of 5 cm. What is the area of the Shaded Region?
The shaded region is the area outside the smaller circle and inside the larger circle
we know that
The area of the shaded region is equal to subtract the area of the smaller circle from the area of the larger circle
Remember that
The area of the circle is equal to
so
The area of the shaded region is
where
substitute
assume
substitute
Answer:
(a) The test statistic value is -1.83.
(b) We accept the null hypothesis at α = 0.01.
Step-by-step explanation:
The information provided is:
The hypothesis is defined as follows:
<em>H₀</em>: <em>μ</em> ≥ 130 versus <em>Hₐ</em>: <em>μ</em> < 130.
Since the population standard deviation is provided, we will use a z-test.
Compute the test statistic as follows:
The test statistic value is -1.83.
(b)
Compute the p-value of the test as follows:
p-value = P (Z < -1.83)
= 0.034
* Use a z-table.
We reject a hypothesis if the p-value of a statistic is lower than the level of significance α.
• p-value = 0.034 < α = 0.04. Reject the null hypothesis.
• p-value = 0.034 > α = 0.01. Fail to reject the null hypothesis.
• p-value = 0.034 < α = 0.05. Reject the null hypothesis.
• p-value = 0.034 < α = 0.10. Reject the null hypothesis.
You have to FOIL out the (x+4)(x-4) and then subrtract away the 9 in order to get a quadratic that you can solve for x. As it is, you can't do it.
Now if you move the 9 over with it, you get this:
which simplifies to
Now you can either solve this by recognizing that is the difference of perfect squares, or you can move the 25 over to the other side and take the square root of both sides, like this:
Now if you move the 9 over with it, you get this:
which simplifies to
Now you can either solve this by recognizing that is the difference of perfect squares, or you can move the 25 over to the other side and take the square root of both sides, like this: