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2 years ago

Hey can someone help me with this

Mathematics

1 answer:

ivanzaharov [21]2 years ago

7 0

Step-by-step explanation:

The median is the middle number is an ordered set of data. In a frequency table, the observations are already arranged in an ascending order. We can obtain the median by looking for the value in the middle position. If there is an odd number of observations, the median is the middle number

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4. The slope of the tangent for the function y = 1x is 1/(2(x). Find the equation of the tangent line at the point x = 1. Illust

Marianna [84]

Answer:

$x-2y+1=0$

Step-by-step explanation:

We are given the following information in the question:

$y = \sqrt{x}$

Differentiating y with respect to x:

$\displaystyle\frac{dy}{dx} = \frac{1}{2\sqrtx}$

At x = 1

$\displaystyle\frac{dy}{dx}\Bigr|_{\substack{x=1} }= \frac{1}{2\sqrt{1}}=\frac{1}{2}$

$y(1) = \sqrt{1} = 1$

Equation of tangent:

$(y-y_0) = \displaystyle\frac{dy}{dx}(x-x_0)$

Putting the values:

$(y-y(1)) = \displaystyle\frac{dy}{dx}\Bigr|_{\substack{x=1} }(x-1)\\\\y - 1= \frac{1}{2}(x-1)\\2y -2 = x - 1\\x-2y+1=0$

The above equations are the required equation of the tangent.

3 0

2 years ago

If the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola, find an equation for the parabola. Write

STALIN [3.7K]

Answer:

$y=-1(x-2)^2+3$

Step-by-step explanation:

W have been given that the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola. We are asked to find the equation of parabola in the form $y=(x-h)^2+k$ .

We know that vertex form of parabola in form $y=a(x-h)^2+k$ , where (h,k) in vertex of parabola.

Upon substituting coordinates of vertex, we will get:

$y=a(x-2)^2+3$

To find the value of a, we will substitute coordinates of point (0, -1) as:

$-1=a(0-2)^2+3$

$-1=a(4)+3$

$-1=4a+3$

$-1-3=4a+3-3$

$-4=4a$

$\frac{-4}{4}=\frac{4a}{4}$

$-1=a$

Therefore, our required equation would be $y=-1(x-2)^2+3$ .

3 0

3 years ago

Which expression is equivalent to (3a)–2?

Travka [436]

Answer:

Its (A), 1/9a^2

if you work out all of the other options it does not equal to the expression (3a)^-2

Step-by-step explanation:

7 0

2 years ago

In a sample of 1000 randomly, selected consumers who had opportunities to send in a rebate claim form after purchasing a product

Alexxx [7]

Answer: $=(0.2232,0.2768)$

Step-by-step explanation:

The confidence interval for population proportion is given by :-

$p\ \pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

Given : Sample size : $n=1000$

The proportion of people selected consumers who had opportunities to send in a rebate claim form after purchasing a product said they never did so = $\dfrac{250}{1000}=0.25$