Write the equation for a parabola with a focus at (7,-6) and a directrix at x = 5.

Identify the transformation of the function f(x)=|x| by observing the equation of the function g(x)=|x+3|

Alla [95]

Answer:

a horizontal translation by 3 units left

Step-by-step explanation:

f(x)= |x|

we are given with absolute function f(x)

g(x) = |x+3|

To get g(x) from f(x) , 3 is added with x

If any number is added with x then the graph of the function move to the left

Here 3 is added with x, so the graph of f(x) moves 3 units left to get g(x)

So there will be a horizontal translation by 3 units

6 0

2 years ago

A juggler is performing her act using several balls. She throws the balls up at an initial height of 4 feet, with a speed of 15

mestny [16]

The correct answer is B) 1.15 seconds.

8 0

3 years ago

The heights of baby giraffe are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 b

ANEK [815]

Answer:

$P(\bar X$

And we can solve this using the following z score formula:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we use this formula we got:

$z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4$

So we can find this probability equivalently like this:

$P( Z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(63.6,2.5)$