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Ede4ka [16]
3 years ago
11

Find the standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8.

Mathematics
1 answer:
Gala2k [10]3 years ago
5 0
Vertex is directly in middle of directix and focus

distance from 8 to -8 is 16
16/2=8
so 8 below focus (since 8>-8) is the point (0,0
vertex is (0,0)
nice

it opens up because focus is above directix
also it goes up down so
4p(y-k)=(x-h)^2
(h,k) is veretx
we got that (h,k) is (0,0)
and p is distance from vertex to focus which is 8
so
4(8)(y-0)=(x-0)^2
32y=x^2
y=(1/32)x^2
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P-value test and Ctitical Value test are identical. P-value and Critical value are two different names for the same steps. They
creativ13 [48]

Answer:

Option B - False

Step-by-step explanation:

Critical value is a point beyond which we normally reject the null hypothesis. Whereas, P-value is defined as the probability to the right of respective statistic which could either be Z, T or chi. Now, the benefit of using p-value is that it calculates a probability estimate which we will be able to test at any level of significance by comparing the probability directly with the significance level.

For example, let's assume that the Z-value for a particular experiment is 1.67, which will be greater than the critical value at 5% which will be 1.64. Thus, if we want to check for a different significance level of 1%, we will need to calculate a new critical value.

Whereas, if we calculate the p-value for say 1.67, it will give a value of about 0.047. This p-value can be used to reject the hypothesis at 5% significance level since 0.047 < 0.05. But with a significance level of 1%, the hypothesis can be accepted since 0.047 > 0.01.

Thus, it's clear critical values are different from P-values and they can't be used interchangeably.

8 0
3 years ago
What is the measure of arc WYZ?<br> ----------<br><br> 231<br><br> 255<br><br> 200<br><br> 168
Nataly_w [17]

9514 1404 393

Answer:

  (a)  231°

Step-by-step explanation:

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3 years ago
Tim bought a washing machine for a total of $651 with tax included. What was the price of the washing machine before tax if Tim
Molodets [167]

Answer:

<em>The washing machine cost $600 before tax</em>

Step-by-step explanation:

<u>Percentages </u>

The washing machine cost $651 including a tax of 8.5%.

If x was the cost of the washing machine before tax, then the tax was:

x*8.5/100 = 0.085x

It was added to the original price:

x + 0.085x = 1.085x

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Solving:

x = $651/1.085

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The washing machine cost $600 before tax

6 0
3 years ago
Each batch of granola Lena makes uses 3 cups of oats, 1 cup of raisins, and 2 cups of nuts. Lena wants to make 4 batches of gran
pogonyaev

Answer:

12 cups oats, 4 cups raisins, 8 cups nuts

Step-by-step explanation:

For this problem, just multiply each ingredient by 4

4 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=8%20a%20b%20%5E%20%7B%202%20%7D%20%3A%206%20a%20%5E%20%7B%202%20%7D%20b" id="TexFormula1" titl
g100num [7]

\boxed{\large{\bold{\blue{ANSWER~:) }}}}

8ab^{2}:6a^{2}b\\\\=\dfrac{8ab^{2}}{6a^2b}\\\\=\dfrac{2×4×a×b×b}{2×3×a×a×b}\\\\=\dfrac{4b}{3a}\\\\=4b:3a

4 0
3 years ago
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