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Burka [1]
3 years ago
9

A parabola is defined by the equation x2 = 3/4 y. In which direction will the parabola open?

Mathematics
1 answer:
TEA [102]3 years ago
8 0
The equation of parabola is x^2=\dfrac{3}{4}y. 
The canonical equation of parabola is y^2=2p x and this parabola has branches that go in positive direction of x-axis.

Since in your equation x is changed to y and y to x, then the <span>branches of the parabola go in positive y-axis direction, the vertex is placed at the origin. 
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A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n indepe
Naddik [55]

Answer:

P (X ≤ 4)

Step-by-step explanation:

The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes.  It <em>does not</em> find the probability for a <em>range</em> of successes, as in this case.

 

The <em>range</em> "x≤4" means x = 0 <em>or</em> x = 1 <em>or </em>x = 2 <em>or</em> x = 3 <em>or</em> x = 4, so there are five different probability calculations to do.

 

To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are <em>Mutually Exclusive</em>. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.

 

The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)

Therefore, the probability of x<4 successes is P (X ≤ 4)

3 0
3 years ago
What is -11 2/3 x (-4 1/5) = ?
adelina 88 [10]

Answer:

49

Step-by-step explanation:

-11 2/3 x (-4 1/5) =

negative times negative = positive

Change the mixed numerals into fractions.

= 35/3 × 21/5

Multiply the numerators together. Multiply the denominators together.

= (35 × 21)/(3 × 5)

Simplify.

= (7 × 5 × 7 × 3)/(3 × 5)

Divide the numerator and denominator by 3 and by 5.

= 7 × 7

= 49

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3 years ago
A cylinder has a height of 14 centimeters and a radius of 11 centimeters. What is its
IRISSAK [1]
V≈5321.86
Sine the cylinder volume formula is pi*r^2*h.
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2 years ago
The circumference of a circle is 9.19cm.
ohaa [14]

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Answer: 2.92

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

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3 years ago
Read 2 more answers
Solve the initial value problems:<br> 1/θ(dy/dθ) = ysinθ/(y^2 + 1); subject to y(pi) = 1
ladessa [460]

Answer:

-\theta cos\thsta+sin\theta = \frac{y^{2} }{2} + ln y + \pi  - \frac{1}{2}

Step-by-step explanation:

Given the initial value problem \frac{1}{\theta}(\frac{dy}{d\theta} ) =\frac{ ysin\theta}{y^{2}+1 } \\ subject to y(π) = 1. To solve this we will use the variable separable method.

Step 1: Separate the variables;

\frac{1}{\theta}(\frac{dy}{d\theta} ) =\frac{ ysin\theta}{y^{2}+1 } \\\frac{1}{\theta}(\frac{dy}{sin\theta d\theta} ) =\frac{ y}{y^{2}+1 } \\\frac{1}{\theta}(\frac{1}{sin\theta d\theta} ) = \frac{ y}{dy(y^{2}+1 )} \\\\\theta sin\theta d\theta = \frac{ (y^{2}+1)dy}{y} \\integrating\ both \ sides\\\int\limits \theta sin\theta d\theta =\int\limits  \frac{ (y^{2}+1)dy}{y} \\-\theta cos\theta - \int\limits (-cos\theta)d\theta = \int\limits ydy + \int\limits \frac{dy}{y}

-\theta cos\thsta+sin\theta = \frac{y^{2} }{2} + ln y +C\\Given \ the\ condition\ y(\pi ) = 1\\-\pi cos\pi +sin\pi  = \frac{1^{2} }{2} + ln 1 +C\\\\\pi + 0 = \frac{1}{2}+ C \\C = \pi  - \frac{1}{2}

The solution to the initial value problem will be;

-\theta cos\thsta+sin\theta = \frac{y^{2} }{2} + ln y + \pi  - \frac{1}{2}

5 0
3 years ago
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