1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vika [28.1K]
3 years ago
13

Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, 9). I need help

Mathematics
1 answer:
Juliette [100K]3 years ago
3 0
From the given data:<span> vertex at the origin and a focus at (0, 9), the parabola should be facing upwards. In this case, the length of the latus rectum is 9 units which is a. Hence the equation becomes y = 4 (9) x^2. The equation is equal to y = 36 x^2. The standard form is 36 x^2 - y = 0.</span>
You might be interested in
Princess Poly has found most of the matches after spending a few hours working on the map of the garden and the labeled fences.
vovangra [49]

Answer:

46

Step-by-step explanation:

7 0
3 years ago
Using the drawing, what is the vertex of angle 4?
FinnZ [79.3K]
The vertex is where two lines make a point and the answer would be letter C. A

4 0
3 years ago
Read 2 more answers
Find the slope<br>of the line.<br>A-1/2<br>B2<br>c-2<br>D1/2​
ehidna [41]
The answer is B.2
You have to go up 2 and a cross 1 which would look like 2/1 and that equals 2 basically
7 0
2 years ago
What does f(x-5) do to the graph
Romashka [77]
It moves five squares to the left because it is -5 so it’s decreasing
3 0
2 years ago
Read 2 more answers
Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorab
Katyanochek1 [597]

Answer:

(a) Customer will not purchase the light bulbs at significance level of 0.05

(b) Customer will purchase the light bulbs at significance level of 0.01 .

Step-by-step explanation:

We are given that Light bulbs of a certain type are advertised as having an average lifetime of 750 hours. A random sample of 50 bulbs was selected,  and the following information obtained:

Average lifetime = 738.44 hours and a standard deviation of lifetimes = 38.2 hours.

Let Null hypothesis, H_0 : \mu = 750 {means that the true average lifetime is same as what is advertised}

Alternate Hypothesis, H_1 : \mu < 750 {means that the true average lifetime is smaller than what is advertised}

Now, the test statistics is given by;

       T.S. = \frac{Xbar-\mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, X bar = sample mean = 738.44 hours

               s  = sample standard deviation = 38.2 hours

               n = sample size = 50

So, test statistics = \frac{738.44-750}{\frac{38.2}{\sqrt{50} } } ~ t_4_9

                            = -2.14

(a) Now, at 5% significance level, t table gives critical value of -1.6768 at 49 degree of freedom. Since our test statistics is less than the critical value of t, so which means our test statistics will lie in the rejection region and we have sufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is smaller than what is advertised and so consumer will not purchase the light bulbs.

(b) Now, at 1% significance level, t table gives critical value of -2.405 at 49 degree of freedom. Since our test statistics is higher than the critical value of t, so which means our test statistics will not lie in the rejection region and we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that the true average lifetime is same as what it has been advertised and so consumer will purchase the light bulbs.

6 0
3 years ago
Other questions:
  • What is 4 square root of 81 to the fifth power in exponential form
    11·1 answer
  • 4/7 x 9/20 will give brainliest
    10·2 answers
  • What is the formula for exponential functions?
    10·1 answer
  • I really need help on this please no clue
    11·1 answer
  • What is the area of the figure?
    14·1 answer
  • I just want a joke im board please help me.
    7·2 answers
  • What is the length of the hypotenuse
    15·2 answers
  • How many really solutions does 4a^2 = 8a− 4 have
    6·1 answer
  • SimplifyLaTeX: \dfrac{\cos^2\alpha}{1-\sin\alpha}-1
    9·1 answer
  • Daniel has 12 cups of orange juice.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!