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4 years ago

Write an equation to describe the relationship in this table.

Mathematics

1 answer:

Vadim26 [7]4 years ago

8 0

Answer:

y = x+5

Step-by-step explanation:

you cant times it by anything but 1 so x then how much does it go up by 5 so y= x+5

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A binomial distribution

Alina [70]

Answer:

0.324

Step-by-step explanation:

Given that :

Success rate = 30%

p = 30% = 0.3

q = 1 - p = 1 - 0.3 = 0.7

Number of trials, n = 6

Probability of having exactly 2 successes ; x = 2

P(x = 2)

Usibgbtge binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 2) = 6C2 * 0.3^2 * 0.7^4

P(x = 2) = 15 * 0.3^2 * 0.7^4

P(x = 2). = 0.324135

P(x = 2) = 0.324

3 0

3 years ago

Here is the question in the image

Artist 52 [7]

The coordinates of the edges of the mini-solar cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60).

The distance between the two edges is 120 centimeters.

The equation for the parabolic mirror is x + 32 = (2/225) · y².

<h3>How to analyze a parabolical mini-solar cooker </h3>

Herein we must understand the geometry of the design of the mini-solar cooker to determine all needed information. The y-coordinates of the edges of the cooker are determined by Pythagorean theorem:

$y = \pm \sqrt{(68\,cm)^{2}-(32\,cm)^{2}}$

y = ± 60

The coordinates of the edges of the mini-solar cooker are (x₁, y₁) = (0, - 60) and (x₂, y₂) = (0, 60). The distance between the two edges is 120 centimeters.

Lastly, the equation of the parabolic mirror can be determined based on the equation of the parabola in vertex form:

x - h = C · (y - k)² (1)

Where:

h, k - Coordinates of the vertex

C - Vertex constant

If we know that (h, k) = (- 32, 0) and (x, y) = (0, 60), then the vertex constant of the equation of the parabola is:

0 + 32 = C · 60²

C = 2/225

Then, the equation for the parabolic mirror is x + 32 = (2/225) · y².

To learn more on parabolae: brainly.com/question/21685473

#SPJ1

6 0

2 years ago

5/4=y−1/4 y=_____ What is the answer?

Nat2105 [25]

In this equation, you are solving for y. Simply isolate the variable by adding 1/4 to each side. The -1/4 and 1/4 will cancel out on the right side of the equation, leaving only y:

5/4 = y - 1/4

5/4 + 1/4 = y - 1/4 + 1/4

6/4 = y

y = 6/4

Don't forget to simplify y:

y = 3/2

6 0

4 years ago

Read 2 more answers

What is the square root of -2i?

Studentka2010 [4]

Answer:

1-i and -1+i

Step-by-step explanation:

We are to find the square roots of $z=0-2i$ . First, convert from Cartesian to polar form:

$r=\sqrt{a^2+b^2}\\r=\sqrt{0^2+(-2)^2}\\r=\sqrt{0+4}\\r=\sqrt{4}\\r=2$

$\theta=tan^{-1}(\frac{b}{a})\\ \theta=tan^{-1}(\frac{-2}{0})\\\theta=\frac{3\pi}{2}$

$z=2(\cos\frac{3\pi}{2}+i\sin\frac{3\pi}{2})$

Next, use the formula $\displaystyle \sqrt[n]{r}\biggr[\cis\biggr(\frac{\theta+2\pi k}{n}\biggr)\biggr]$ where $\displaystyle k=0,1,2,...\:,n-1$ to find the square roots: