Write 8% as a fraction or mixed number in simplest form.
2 answers:
Answer:
Step-by-step explanation:
All percents can be written as a fraction with their denominator as 100.
So, first we can write the fraction as 8/100 and start making it smaller and simplifying it.
can be divided by 4 since that is the GCF ( Greatest common factor)
Now, the numerator would be 2 and the denominator would be 25 as shown below ...
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This is the simplest form of 8% as a fraction
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Answer:
Step-by-step explanation:
Let's answer these questions in an all-encompassing kind of explanation. If you plot the vertex and the directrix, you see that the vertex is below the directrix. Because of the fact that a parabola opens AWAY from the directrix, and wraps itself around the focus, we know it's an upside down parabola of the form
The p value from the equation is a distance, specifically the distance between either the vertex and the directrix, or the vertex and the focus. The vertex is exactly in the middle of the directrix and the focus. So that tells us that the focus is 3 units below the vertex (because the directrix is 3 units above the vertex). We also know from this that p = 3.
Filling in the equation with a vertex of (0, 0) which is our h and k respectively:
which simplifies to
and multiplying both sides by -1:
. This is not standard form, but it matches what your equation is in the choices. So to sum up:
The focus is located at (0, -3) and the first choice is true.
The parabola opens upside down and the second choice is not true.
The p value is found by counting the units between the vertex and the directrix, so the third choice is not true.
We solved the equation by filling in the values for h, k, and p and got that the equation in the fourth choice is true.
So the fifth choice is not true.
Using the t-distribution, it is found that the correct option is:
0.005 < P-value < 0.01, reject the null hypothesis.
<h3>What are the hypothesis tested?</h3>At the null hypothesis, it is tested if the mean of a given population is equal to 85, that is:
We have a left-tailed test, hence, at the alternative hypothesis, it is tested if the mean of the population is less than 85, that is:
The test statistic is of t = -3.018.
Using a t-distribution calculator, with test statistic t = -3.018, 13 - 1 = 12 df and a significance level of 0.01, it is found that the p-value for a left-tailed test is of 0.0051.
The p-value is <u>less than 0.01</u>, hence the null hypothesis is rejected and the correct option is:
0.005 < P-value < 0.01, reject the null hypothesis.
More can be learned about the t-distribution at brainly.com/question/16313918